CONSCIOUSNESS, LIFE, AND INTELLIGENCE

 

NEPPE and CLOSE

CONSCIOUSNBESS, LIFE, AND INTELLIGENCE

These three words, each meaning something different, are intimately related. Do they, or can they exist separately? Or do they only exist in some kind of triadic union? As human beings, with physical bodies, thinking minds, and some level of awareness, to some degree we experience all three of them, and together, they comprise the experience of human existence.

 

Reality, for each one of us is what we experience directly: a dynamic combination of consciousness, life, and intelligence. To conserve space and time, let’s abbreviate this as CL&I. Each human being in existence experiences reality from the perspective of a combination of different levels of CL&I. The reality we experience comes into being with our conscious drawing of the first distinction: separating self from other, and the spectrum of finite reality stretches from the electron to the whole Cosmos, while our individual experiences of reality range from minimal self-awareness to Cosmic Consciousness.

 

In previous posts, based on years of research, I have laid out the thought processes, mathematical proofs, and discoveries, that have allowed us to express a number of conclusions about the meaning and purpose of human existence. In those 500-plus posts, the progression is from a single quantum bottom of reality, the elementary perturbation of the Source Field, the electron, up to holistic Conscious Cosmos. In this post, I will try to look at reality from an awareness more complete that that of the average human being, perhaps even from the top down, where the top is defined as the state of Cosmic Consciousness, which is the infinitely expanded awareness of everything that exists.

 

At this point in planetary time, very few conscious living beings on the planet have attained Cosmic Consciousness, and it is impossible for most of us to even imagine what that state might be like. But, given that even one such being exists, how would that being see the things we are experiencing? To begin with, that being would be aware of everything: all things, all space, all time, including the content of the consciousness of every finite being. I hasten to add that I am not such an ultimately enlightened being, but I am confident that they exist. I have experienced evidence of such beings, showing the way to the positive goal of human existence.

 

You may consider my remarks about what reality looks like from the viewpoint of states of higher consciousness as speculations, because indeed, that is what they are. However, these remarks are based on actual experiences, some of which I have written about in earlier blogposts and publications. Relevant experiences include significant personal glimpses of expanded states of consciousness from a very early age, meetings with people far more advanced than me, initiation into spiritual practices that help expand consciousness, and in on-going inspirations that are both intellectual and spiritual in nature.

 

It is clear to me that those who have ascended to the state of Christ Consciousness (the Son/Daughter of God state) are aware of the 3, 6, and 9 dimensional domains of finite reality, and are in contact with the Infinite; and those who have ascended to the ultimate goal of existence, the state of Cosmic Consciousness (the Mother/Father God state) are fully aware of the entirety of Cosmic Reality, because everything is contained in the infinity of their Being. The magnificence, joy, and ecstasy of these ultimate states of expanded consciousness are so far beyond the experiences of the average human being today, that they can only be expressed by conceptional extrapolations from the average human being, to most advanced person of our experience, and beyond.

 

These conceptional extrapolations in 3, 6, and 9 dimensions can be expressed minimally in a self-referential model of mathematical logic. The Neppe-Close TDVP is such a model. This is possible only because reality is structured logically, like an infinitely expanding mind: The Mind of God if you will. What follows is a brief description of conceptual extrapolation through 3, 6, and 9 dimensions and the infinity of infinities, and my attempts to express them in the inadequate finite terms of human language.

 

In the mathematical model of reality, human experience can be represented minimally by a functional expression of CL&I, where each of the three components, i.e., consciousness, life, and intelligence, are described by quantifiable variables of extent, content, and intent/impact in the quantized finite dimensional domains, and by qualifiable variables (called “qualia”) in the infinitely continuous domain, the infinity of infinities. The variables for C, L, and I can vary from one quantum equivalence unit to infinity. With this generalized conceptual model in mind as background, I will try to describe experiences along the path of consciousness expansion, without resorting to abstract mathematical procedures any more than appear to be necessary for clarity.

 

As individual consciousness expands from bare existential awareness to self-awareness, the realization dawns that all real objects, events and thoughts are at least three dimensional. Single dimensionless points, extended to one-dimensional lines, and two-dimensional planes have no potential for substantial content. They are over-simplified conceptual models of real things, all of which have both extent and content.

 

The average person on Planet Earth today is minimally aware of three dimensions of space, one moment in time, and consciousness from one single individual point of view. Within this conceptual domain, the individual experiences the changes of content and intent/impact as events happening in 3D space along a personal timeline. Thus, time is experienced in a linear fashion, and may be represented by a line connecting remembered past events with present experience, and an anticipated future. The contents of these events impact the body and mind of the individual conscious being in a variety of ways. Most people today are only aware of this five-dimensional domain, consisting of three dimensions of space, a one-directional dimension of time, and one quantum of consciousness for most, if not all of their lives.

 

Please bear in mind that in this discussion, all measurable variables are not dimensions. Dimensions are only measures of structural extension in the field of existing objects. Only three things have extension: space, time, and consciousness. Other variables, like matter and energy, are measured in variables of content. They may occupy measurable volumes of space, time, and consciousness dimensional domains, depending on density, but they are measures of content, not dimensions.

 

Without going into the details of how and why individual consciousness may be expanded to experience more dimensions of reality, I will attempt to describe what experiencing that is like. My descriptions are based on personal experiences, explanations from spiritual guides who are now living or have lived on the Earth, and inductive and deductive reasoning.

 

If the domain of awareness of an average conscious being is uniformly expanded, that being will have complete awareness of the domain of five contiguous dimensions, three of space, one of time, and one of consciousness. That person would have total awareness of all events, past, present, and future on his/her personal timeline. Please note that the average person today has only partial awareness of five dimensions.

 

Parallel universes, while possible, are not available to the expanding consciousness of entities existing in this universe before achieving expansion to the level of Christ Consciousness, because all universes of finite dimensional domains are quantized relative to the volume and mass of the smallest quantum object and the speed of light in that universe. Universes may exist parallel to ours, but those that do, exist at different vibrational frequencies, created by different multiples of the speed of light as experienced in our universe. This means that the energy necessary to project from our physical universe into a parallel universe is infinite. However, Christ Consciousness, the goal of individualized consciousness in this universe, is a state of awareness of everything in this universe, and Cosmic Consciousness, the Parent of Christ Consciousness, is aware of all possible universes.

 

Consciousness expansion from an average state of awareness toward Christ Consciousness and Cosmic Consciousness is actually the definition of spiritual evolution. Human evolution is not just the improvement of physical health or mental efficiency, because the goal transcends the finite limitations of body and mind.

 

Spiritual evolution, unless accelerated by focused spiritual practices, advances slowly over a number of lifetimes, and even the expansion of individual consciousness to include complete awareness of the extent and content of the first three-dimensional domain of this physical universe is rare at this time. However, I understand that even though we are barely out of the dark mechanical age, the first 1200 years of the ascending 12,000 years of mental and spiritual virtue in this planetary time cycle, complete enlightenment in this lifetime, while extremely rare and difficult to attain, is possible.

 

Awareness of an n-dimensional domain is only possible from at least a partial awareness of an n+1 dimensional domain. This is an innate structural feature of conscious spatial awareness that is a geometrical invariance relating any two contiguous dimensional domains. This becomes obvious when projecting a quantum point from a plane into a volume or projecting from the three-dimensional domain of space into the four-dimensional domain of spacetime by the mathematical process of dimensional extrapolation. But it is one thing to perform calculations demonstrating this relationship, and quite another thing to experience it as an expansion of consciousness.

 

The mathematical projection through 3, 6, and 9 dimensional domains requires the progressive change of units of quantification from integers to “imaginary” numbers, and from those numbers to complex numbers. This reveals the fact that the logic of pure mathematics is not a human invention; it is discoverable as the logic of the dimensional structure of reality. The corresponding expansion of individual awareness brings profound differences in the state of consciousness of the individual at each three-dimensional expansion. The level of knowledge and understanding increases exponentially at the inter-dimensional junctures of 3, 6, and 9 dimensional domains.

 

As pointed out above, the expansion of individual consciousness within the spatial domains of one, two, and three dimensions, from partial awareness to the complete awareness of the dimensional domains and their relationship to each other, brings with it the profound difference between an average “normal” individual and an individual with a complete awareness of his/her past, present, and future timeline. Such an individual is said to have a “photographic memory” and precognitive “psychic” abilities.

 

The uniform progressive expansion of individual consciousness proceeds from three of space, adding three of time, and then three more of consciousness, but non-uniform and partial awareness expansion is possible, producing a range of individuals with a variety of cognitive and so-called “psychic” abilities. When individual consciousness is expanded to encompass complete awareness of five dimensions of reality, and the fifth dimension is one of time, the individual becomes aware of portions of two or more individual timelines, with knowledge of specific events on those timelines.

 

It is worth noting that, while it is possible to conceptualize more than three dimensions of space, our finite universe is structurally limited to three for individuals whose consciousness is not expanded to and/or beyond Christ Consciousness, because of physical relativistic and vibratory limitations, as mentioned above. The same is true for time and consciousness dimensions. The three dimensions of time and the three dimensions of conscious extent can be visualized as analogous to the three dimensions of space. But this analogy is only structural. The detail and complexity of the expanded state of consciousness associated with each additional dimension, is literally mind-boggling.

 

Knowing that knowledge is power, and power can be used for positive or negative purposes, we can understand why physical, mental, and spiritual reality is structured the way it is. Effective methods of consciousness expansion are difficult to learn, and cannot be accessed or understood by an individual until the soul’s consciousness is pure, purged of negative tendencies and capable of relating all activities to the positive goals of spiritual progress. The ability to gain true knowledge of reality and use logical reasoning to focus on understanding how to limit actions to those that will promote individual, group, and cultural spiritual progress, is known as wisdom.

 

By applying inductive and deductive reasoning to the parameters and characteristics of the state of consciousness we experience as human beings aware of the existence of three dimensions of space, part of one dimension of time, and one distinction of consciousness, we can conceptualize what the state of consciousness of an individual with full or partial conscious awareness of 6, 7, 8, and 9 dimensional domains of reality might actually be like.

 

Based on firsthand experiences of expanded states of awareness and information from individuals who have reached expanded states of consciousness that include the additional dimensions of reality totaling from six to nine dimensions, I can offer descriptions that will provide some idea of what those states of consciousness are like. But before I do that, it may be helpful to answer some relevant questions that people trying to understand TDVP have had. Perhaps the most interesting and puzzling conclusion of TDVP is summed up in the statement that Reality consists of all things existing and occurring within the structure of three dimensions of space, three dimensions of time, and three dimensions of consciousness. The most relevant question is generally expressed something like this:

“I know what the three dimensions of space are, but exactly what are the three dimension of time and the three dimensions of consciousness?”

My next blogpost will be devoted to answering this question.

 

ERC – 10/18/2021

 

HOW TO BEAT THE PANDEMIC

 

In these strange times, when greedy politicians and the wealthy control freaks who back them, have stolen ten months of our lives, we all need to take a break from this nightmare. You can turn the tables on them, and take advantage of the self-quarantine, lockdown, or whatever form of forced isolation you are experiencing at this time, by making it an opportunity to re-connect with the Essence of Reality. Most of the human race has lost touch with the simple Joy of Being because of the daily, constant immersion in the intoxicating delusions of the world. I don’t know about you, but I have an innate, fundamental need to reconnect with essence of reality ever so often. For most of us, reconnection with Reality seems to happen spontaneously, maybe only once or twice during a lifetime. It may be triggered by a moment alone in nature, the witnessing a beautiful sunset, being fully awake in a forest by a waterfall, or sometimes it is occasioned by the shock of a near death experience. But it is always uplifting, inspiring, a moment of enlightenment and Self-Realization.

For you, however, if you are one of those among us who have come to realize that life as a human being is a wonderful opportunity to reconnect completely and permanently with the essence of Reality, whether you think of it as God, the Over-Soul, the transcendental Self, Nature, Infinity, or Primary Consciousness, then reconnecting with Reality is your reason for living. If this describes you, then I want to encourage you to seize the moment, forget about the current pandemic, the election, and any and all negative personal concerns that make you feel sad, angry, defeated, discouraged, or hopeless, and right now, for just one moment, allow your innate consciousness to expand into the depth of the moment and ascend into the heights of the multi-dimensional Reality that embraces us. It will change your life forever.

If you can release all your memories and anticipations, good and bad, both your past and present, and your imagined future, if only for an instant, your consciousness may become free to return once again to its original state. Experiencing this even once, will open your eyes to the real purpose and meaning of being. But most of humanity at this time, is loath to take this leap into Reality due to habitual attachment to the physical body and a paralyzing fear of the unknown. The paradox of being both finite and infinite at the same time, looms as an impossible barrier to moving into the awareness of the Infinite Self. The finite living organism that you have identified with, has a great fear of pain and suffering, including the imaginary prospect of ceasing to exist, even though the Great Spiritual Masters of all times tell us that death is an illusion. Their universal message to us is that our soul is immortal, and that even when your physical body dies, or is destroyed, and no longer exists, you will still retain the spiritual awareness that you have attained as a conscious being living life on this earth. 

Turn the tables on the Pandemic: Choose to rejoice in the opportunity to experience Reality. Live life in joyous ecstasy, despite the efforts of tyrants to impose their delusions on the rest of us. Declare the Glory of God! Make a joyous noise that may be heard around the world! Create a pandemic of Love.

ERC 11/19/2020

INTELLIGENCE, ENLIGHTENMENT, AND REALITY

 

Neppe and Close

ON INTELLIGENCE, ENLIGHTENMENT, 

AND THE NATURE OF REALITY

The human intellect is finite, self-referential, devotedly self-centered, and its own best friend and worst enemy. Sometimes it obscures more than it illuminates, and Its most devious activity, which it even hides from itself, is the continuous frantic shoring up of the delusional belief that the real world is consistent with its carefully created conceptual view of itself and reality. The more intelligent and logically efficient the individual human mind, the more insidious this self-deception becomes. 

Each of us has developed or adopted our own conceptual model of reality that seems to us to be very real. However, an individual conceptual model existing in the mind, even if internally consistent, is often found to be inconsistent with the conceptual models of others, and it is very unlikely that any of them are entirely consistent with reality. With a limited correspondence to realty, our views of the world are more or less manageable finite models of reality, existing only within our skulls. But, because we each believe that our own conceptual model is actually reality itself, we build up all sorts of walls of internally consistent logic to protect it from the intrusive influence of any other world view that might conflict with it, and even from actual, existing reality. To the extent that an individual’s mental world appears to coincide with the consensus worldview of the society in which he or she resides, even though that consensus is also very unlikely to coincide with reality as it actually exists, that individual is considered to be reasonably sane and knowledgeable.

At this point in human history, most of us tire, quite early in life, of having to work to find truth for ourselves. This makes us very vulnerable to the influences of ready-made imaginary conceptual consensus worldviews created by various political, religious, and educational organizations whose leaders seek to control us under the pretense that they are more enlightened than we are, or that their beliefs are truths revealed by someone who is, or was, more enlightened and aware of the nature of reality than we are.

This brings up a series of important questions related to the concepts of worldviews and truth. Let’s start with: 1) What is truth? 2) What is enlightenment? 3) Are there many levels of truth and enlightenment? 4) Who is qualified to say what truth is? 4) Is there an ultimate or final state of enlightenment? And 5) If there is an ultimate state of enlightenment, has anyone ever attained that state?

Beginning with the question of what is truth? I submit that a statement is true, if and only if, it corresponds 100% with reality. That, of course, raises deeper questions: Exactly what is the true nature of reality? Is it mutable or immutable? That is to say, is reality absolute and changeless, or is it evolving?  If it is immutable, then it cannot be affected by what we do or think about it. If it is evolving, then we must ask: is it changing in response to our thoughts and actions, or is it altogether independent of us, changing randomly, or evolving toward definite goals according to its own rules? And, finally, are we, or can we ever be, capable of knowing reality well enough to determine whether our conceptualizations of it are true or not? 

At first thought, it would seem that there are two possible answers to the question of whether we can know reality: Either we are capable of knowing reality, or we are not. The answer is that, as finite physical beings, we can, if reality is finite, and if our physical brains contain, or can evolve to contain, enough cells, circuits, and synapses to correspond with the complexity of reality. And the answer is we cannot, if reality is infinite, unless our cognition is not limited to the capabilities of the physical brain. So, now we see that there are two even deeper questions that we must ask and answer first, in order to address this cascade of important questions, they are: Is reality finite or infinite? And is consciousness capable of operating outside of the physical body and beyond the functions of the brain?

At last we come to core questions that can and must be answered conclusively. Not only is there a growing mountain of solid evidence generated by scientists who have the courage to go beyond the limits of the current mainstream paradigm of materialistic physicalism, despite establishment censorship, but there is also a growing number of people who have had personal experiences of consciousness outside of and beyond the physical body and brain, who are speaking up. 

As a scientist with both overwhelmingly positive experimental evidence that the physical universe is an epiphenomenal series of forms arising from the substrate of Primary Consciousness, and direct personal experience of my own consciousness operating outside of my physical brain and body, I can answer the last question above, without hesitation, in the affirmative. It should be understood that the acceptance of this evidence and experience constitutes a real paradigm shift from the assumption that consciousness is an epiphenomenon of physical reality, to a paradigm recognizing consciousness as fundamental, if not primary. 

Consciousness definitely can function outside of, and beyond the physical body. I have seen evidence of it in meticulous experimental data, and experienced it myself, in near-death experiences (NDEs) and out-of-body experiences (OBEs). I have written about this in Secrets of the Sacred Cube, a Cosmic Love Story, Close, ER and JA, 2019. From the perspective of the multi-dimensional field of primary consciousness, which mainstream physicists call the zero point field (ZPF), the body’s brain and nervous system acts primarily as a receiver of the logical patterns of primary consciousness, and secondarily as a transmitter and organizer of the logical patterns of consciousness in the physical world. 

Working our way backward, the next question we can answer is: “Is reality finite or infinite?” All the evidence points to the conclusion that reality is infinite. Mainstream science generally treats reality as finite, only because their tools of observation and measurement have a finite range of application. But as we refine the tools and discover more of reality, the finite reality that physical scientists are studying is constantly expanding and changing. This is why science is always incomplete. This is why the history of science shows many examples of radical changes in the body of statements considered to be scientific facts. 

Also, Gӧdel’s incompleteness theorems prove that any representation of science as an internally consistent system of logic can never be complete. Thus, all internally consistent logical systems are capable of expansion. In addition, the red shift in light from distant stars indicates that the physical universe also follows this pattern of expansion into the unknown. So, even if a valid model of the physical universe can be said to be finite at any given moment in time, dynamic reality will expand beyond that, in the next instant. This conclusion that reality is functionally infinite brings us to a point where we can answer all of the questions posed above. Let’s take them in the order:

1) What is truth? Answer: 100% correspondence with reality. 1a) What is the nature of reality? Answer: Reality is the totality of everything that exists. 1b) Can we ever be aware of reality? Answer: Yes. That is the function of the mind and the senses.1c) Is reality finite or infinite? Answer: Reality is dynamically infinite. 1d) Do our thoughts and actions affect dynamic reality, does reality change according to specific discoverable rules, or does it change randomly? Answer: Our actions do affect reality, and reality does not appear to change completely randomly, as evidenced by the existence of the many verifiable deterministic laws of physical science. 1e) is consciousness capable of operating outside of the physical body and beyond the electrical and chemical functions of the physical brain? Yes, at least to a limited degree, and perhaps it will behave more and more that way as reality evolves. 2) What is enlightenment? Answer: Awareness and understanding of the nature of reality. 3) Are there various levels of truth and enlightenment? Answer: Yes. Distribution of the levels of enlightenment in individual consciousness beings forms a normal bell-shaped curve, and the body of truthful knowledge expands with the increasing levels of enlightenment. 4) Who is qualified to say what truth and enlightenment are? Answer: The most enlightened among us. 4) Is there an ultimate or final state of enlightenment? Answer: Yes there must be, but it is a moving target, due to the dynamically infinite nature of reality. 5) Has anyone ever attained the ultimate state of enlightenment? Answer: Yes, I believe so, but I cannot prove it.

This last answer requires additional explanation and some careful exploration of the interface of our individual consciousness with reality. These answers bring us to the deepest level of finite cognition, on the threshold of infinite continuity, where we have several choices. The road most travelled is the acceptance of the teachings of established authorities with blind faith and belief. Another choice is indulgence in self-deception, and a third choice is the search for conscious enlightenment. However, the analogy of forks in the road is not strictly valid because the three choices enumerated here are not mutually exclusive. Combinations of the three are open to us. Each of us must decide. 

As I  said, I believe there are ultimately enlightened beings, but I cannot prove it. Of course, it will be a great thing if ultimate enlightenment exists and if help is available to us from that level of intelligence and knowledge. But we cannot prove that an ultimately enlightened being exists because if such a being does exist, then by definition, that being exists both within, and outside of, and beyond, the domain of finite beings and finite logical systems. Fortunately, however, this inability to comprehend is a one-way feature of an infinite reality, because, while you may be unable to fully perceive the world and functional existence of a completely enlightened being, such a being, if one exists, can be aware of you and your world. There are two ways that this one-way restriction can be understood: by analogy, and by inductive mathematical proof of the existence of levels of intelligence superior to finite human intelligence.

As an analogy, consider an individual living micro-organism on your body, or in your immediate environment. While that specific micro-organism is able to act within its miniature world, and react to its environment with a natural rudimentary form of intelligence, it is unaware of your existence unless something you do affects it directly, and even then, it has no way of knowing anything about you, your world, or your level of intelligence. If something you do affects its world, it will be experienced by the micro-organism as part of its natural reality. If a fully enlightened being exists, then the analogy is that the micro-organism is to you as you are to the fully enlightened being. 

From a mathematical point of view, when a quantum calculus with a multi-dimensional quantum-equivalence unit and validated Diophantine (quantum integer) theorems are applied to the physics of the proton, as Dr. Vernon Neppe and I have done in TDVP, we find that there would be no stable atomic structure without the existence of a non-physical form of the substance of reality. Many papers, several books, and a number of posts on this blog have been published detailing this discovery and its implications. This non-physical feature of reality, which we call gimmel, guides the development of physical reality in an intelligent and purposeful manner. The existence of a Primary Intelligence acting prior to the development of the physical universe is revealed by inductive reasoning, and the existence of a spectrum of conscious enlightened beings operating between Primary Intelligence and human intelligence, is revealed by deductive reasoning. Again, it is important to note that this is the beginning of a paradigm shift from the assumption that matter is primary to the realization that consciousness is primary. 

Why is this important? Because when a new scientific paradigm is introduced, people capable of funding the needed research into its validity naturally ask established scientists to evaluate it. But most scientists who are well-established in the current paradigm, will be totally incapable of evaluating an actual paradigm shift. A recent example of a panel of scientists with training in mathematical physics asked to evaluate TDVP (the Neppe-Close Triadic Dimensional Vortical Paradigm) will serve as an example.

Reviewers reviewed a single unpublished Close-Neppe paper and noted, as a negative comment, that they could find no references to some of the key terms of TDVP in papers in mainstream mathematics and physics journals. It apparently did not occur to them that if they found such references, it would prove that they were not new ideas. Also, one reviewer confidently declared that, contrary to our conclusion that gimmel, the non-physical aspect of reality discovered by mathematical analysis as reported in the paper, there was no evidence of consciousness in atomic or sub-atomic structures. Then later, the same reviewer admitted that science currently has no idea what consciousness is. The question one has to ask this reviewer is: How can you declare no evidence of something, if you don’t know what you are looking for? 

Although a fair number of qualified scientists have expressed confidence in TDVP as a real paradigm shift, there are several more examples of the type of current-paradigm circular reasoning highlighted above offered by mainstream scientists. It appears that Max Planck was right when he said: 

“A scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it. … Science progresses from funeral to funeral.”

Dr. Neppe and I – and a few other competent scientists who have reviewed it - are convinced that TDVP, based on the sound experimental data of the Large Hadron Collider and the logic of quantum calculus analysis, is a valid paradigm shift from the limited scientific materialism of today’s mainstream science, to the broader consciousness-based science of the future. We are definitely not following the road most travelled, even though our new paradigm preserves much of the mainstream paradigm, while expanding it to include consciousness. Are we on the path of self-delusion, or enlightenment? It's up to you to decide.

ERC 11/07/2020  

THE NATURE OF REALITY

 

WHAT IS THE NATURE OF REALITY?

This is not a trivial question; and I would argue that sooner or later, in this world or the next, every one of us will have to think about it, and try to answer this question for our self. With the craziness that is going on in the world today, maybe now is a good time to have a look at this question and make a serious effort to answer it.

Let’s start by thinking about what is behind the question: It assumes that there actually is something called reality, and that it is, to some extent, independent of whatever we may think about it. If this were not the case, then each of us would be adrift, alone, like a vessel on the surface of an endless ocean, below an endless sky, with no polestar, no lighthouse beacon, no land, nothing to relate to. But our individual awareness of the physical world, and interactions with others in it, strongly suggest that there is a reality independent of our thoughts and actions. The question also assumes that reality is knowable. This is important, because if reality is unknowable, we are again in a world of ultimate uncertainty, grasping at straws of an elusive reality, that continuously dissolves and slips through our fingers!

In fact, the history of modern science up until 1900, resembles this concept of reality: Holding an object in his hand, a physicist could grasp it as a solid reality, made up of structured molecules of definite size and shape, but when he looked more closely, the molecules were made of atoms, and looking deeper into the atoms, he found that they were almost nothing but empty space. Then, these tiny bits of matter, that he had thought of as the indivisible elemental building blocks of reality, turned out to be made of negative and positive electrically charged bits of matter, which he named electrons and nuclei, whirling, around very far apart, with nothing solid in between.

Probing deeper still, he discovered that the nuclei were also not really solid, but were made of electrically charged protons and chargeless neutrons. Surely, in them, he had finally found the building blocks of physically reality! But no! These “proto” particles were made of even smaller spinning bits, whimsically called quarks, which decayed rapidly when separated from the nuclei. With the decay of quarks, solid physical reality had literally dissolved into energy, and slipped through his fingers. The solid object he held in his hand was exposed as an illusion. And of course that meant that the solidity of the hand holding the object, made of cells, molecules, atoms, etc., was also an illusion. And what about his brain and reasoning mind? Could they also ultimately be something very different than they seemed to be? Could the analysis be carried on indefinitely, like an infinite descent into nothingness, or did it stop somewhere?

Even though, in the world of daily experience, a physical object can be only be divided into separate parts a finite number of times, that is apparently just a physical limitation of the instrument of division. Conceptually, the dividing of objects could conceivably go on indefinitely. Interestingly, this is exactly the conceptual basis of the most useful mathematical tool of modern science, called infinitesimal calculus, or as it is commonly known: “the calculus”. However, between 1900 and around the year of my birth, Three very important discoveries changed everything. Those discoveries were:

·       Max Planck’s discovery that energy only occurs in exact multiples of a very small amount of energy called a quantum of energy. This marked the beginning of Quantum Physics.

·       Albert Einstein’s discovery that time and space have no absolute existence of their own. This marked the beginning of Relativistic Physics.

·       Kurt Gӧdel’s discovery of proof of the Uncertainty Theorems, which, when combined with relativity and quantum physics, marked the end of the belief in finite axiomatic determinism.

What do these three discoveries mean in plain English? The first tells us that there is a bottom to the infinite descent in the energy of the decaying quarks: one quantum. The second tells us that, because of the equivalence of mass and energy (E=mc²) there is a bottom to the division of objects: one quantum. The third tells us that the logical structure of reality is infinite, because no finite model is complete. What do they tell us about the nature of reality? Together, they hold the keys to the paradigm shift that led to another new discovery. The new discovery was made  possible by the development of a truly quantized calculus called the Calculus of Dimensional Distinctions (CoDD), using a quantum equivalence unit based on Large Hadron Collider data. Application of this new calculus and consistent mathematical procedures led to the discovery of the existence of a non-physical quantity that is necessary in addition to mass and energy for the existence of a stable physical universe.

What does this new paradigm tell us about the nature of reality? It has already told us far more about the nature of reality than was possible to learn within the current mainstream scientific paradigm. It has logically explained things that were inexplicable in the current mainstream paradigm, such as why quarks only combine in threes to form protons and neutrons, why the Cabibbo quark-mixing angle has the exact value it has, and why the proton and neutron have the exact masses they do.

I can only present a summary here. More detail can be found in “Reality Begins with Consciousness” by Dr Vernon Neppe and me, available in e-book form at www.BrainVoyage.com, in several technical papers published in the journal of the Exceptional Creative Achievement Organization (ECAO), and in Vol. 8, No. 3, of the IQNexus Journal: https://www.iqnexus.org/mag.htm , in “Is Consciousness Primary?”, Vol. 1, published by the Academy for the Advancement of Postmaterialist Sciences (AAPS Global), in other posts on this blog, and in “Transcendental Physics”, and “Secrets of the Sacred Cube, A Cosmic Love Story” books by me, available on Amazon.com.

In summary, the reality we experience consists of an extensive domain of nine finite dimensions containing  a distinct number of dynamic finite objects made up of relativistic quantized energy, inertial mass, and individualized conscious beings, all embedded in the infinite field of Primary Consciousness. The logical structures of individual consciousness, quantized energy, inertial mass, and the nine-dimensional finite domain, are conveyed from their origin as ideal distinctions in Primary Consciousness, into physical reality, embedded in three dimensions of consciousness, three dimensions of time, and three dimensions of space.

Nine finite dimensions of reality are definitely indicated and specifically defined by the mathematics, and you may be surprised to learn that we can actually naturally relate, at least conceptually, to seven of them, not just the three dimensions of ordinary space: length, width, and depth. When the mathematical description of the rotation and projection from a 3-dimensional domain to the next dimensionally larger domain, a 4-D domain, using the Pythagorean Theorem, which you may remember from your high school geometry, is accomplished, an additional number of a new type must be used to represent the location of the unitary projection into the additional dimension. I call this procedure of projection from a lower to a higher dimensional domain Dimensional Extrapolation.

For example, points in the 3-D quantum domain are exactly located by three integers, and a point located one unit into the fourth dimension must be represented by four numbers: 3 integers plus an imaginary number (the square-root of minus one, which is the fourth root of unity) After each set of three, the next dimension must be represented by a new type of number, otherwise, the point to which you project will still be in the same dimensional domain. The location of all projections out of 3, 6 and 9-D domains require additional new numbers that are sequentially higher dimensional roots of unity.

As the description of reality is expanded into domains with more dimensions, we find that we can explain more and more of our experiences as conscious beings. As we expand our awareness of the nine dimensions of reality through dimensional extrapolation, with each added dimension, the reality we perceive becomes more complex and richer, with additional subtle qualities, because each dimensional domain contains all of the domains of fewer dimensions within it, and the domain of nine finite dimensions is embedded in the infinite field of Primary Consciousness. Each dimension adds more subtle inter-dimensional relationships to the total experience of reality, and expansion beyond each of the sets of three dimensions with the same type of numerical units, is an entry into a higher dimensional domain with much more subtle qualities. Time is more complex and subtle than space, and consciousness is more complex and subtle than time.

To understand this mathematically invariant feature of dimensional domains better, it is helpful to perform the following thought experiment in quantum geometry, using the concept of dimensional extrapolation:

In quantized reality, a point is not a mathematical singularity, it is a single quantum of extent. It then follows that a line of quantum points forms a 1-D domain, and conversely, this 1-D domain contains, potentially, an infinite number of zero-D domains (quantum points). Similarly, a 2-D domain (a quantum plane) has the potential of containing an infinite number of 1-D domains (quantum lines); and 3-D domain (a volume filled with quantum points), potentially contains an infinite number of 2-D domains (quantum planes), and an infinite number of 1-D domains. Continuing to extrapolate into the next dimension, i.e., into the first dimension of time, a 4-D domain, we find that it has the potential to contain an infinite number of 3-D domains.

But, as pointed out by Einstein, this logical structure of dimensional domains only exists because of their content, And because reality is dynamic, the configuration of the mass-energy-consciousness content of each 3-D quantum domain on a given quantal timeline may have changed by quantal amounts from one quantum of time to the next.  Such a sequence of dynamic 3-D realities defines a specific finite timeline as experienced by a specific conscious individual. Finally, each individual conscious being experiences one quantum of consciousness in the seventh dimensional domain, which contains experience of all of the dimensional domains contained below it. So the invariant rule that holds for all finite dimensional domains is that every n-dimensional quantum domain contains within it n-1, n-2, n-3, … and n-n= 0-D domains like potentially infinite sub-sets.

Even though we are aware of one dimension of consciousness, most of us at this time in the spiritual evolution of consciousness on this planet are so focused and identified with the 3S-1t body, that we are oblivious of the 2-T and 3-T dimensions (n = 5 and 6) domains, even though partially aware of the 7-D domain! A conscious being fully aware of his or her domain and all of the sub-set dimensional domains below it, would be a very aware person in today’s world, That person would not only be aware of his or her own timeline, but also those of others, as well.

Because while using dimensional extrapolation to move from lower to higher dimensional domains, we shift our thinking from plane geometry to solid geometry, to hyper-dimensional geometry, I think it is appropriate to describe the quantum geometry of nine-dimensional reality as dimensionometry.

The discovery of the third quantifiable essential aspect of the content of reality, a variable represented by gimmel, the third letter of the Hebrew alphabet, allows us to include representation of experimentally verifiable non-physical phenomena in the equations describing the reality we experience. As conscious and self-conscious beings, we can conceive of, and thus potentially perceive at least two dimensions of time and two dimensions of consciousness in addition to the three dimensions of space. This potential should be a powerful motivation for us to expand our consciousness as rapidly as possible during this lifetime. For the betterment of the world, we should also want to help each other and others to understand how to do this too.

 

ERC 9/14/2020

PHYSICAL REALITY IS AN ILLUSION

The physical universe, of which we know only very little through the limited scope and imperfect lens of our five physical senses, is what we take to be reality, as long as we indentify ourselves solely as physical bodies. Since we are only capable of seeing a tiny fraction of the spectrum of electromagnetic radiation, hear only a negligible portion of the total range of vibrational sound, feel only the surface of the deeply fractal structure of molecules and atoms, and smell and taste far fewer organic compounds that many of our animal friends, what makes us think that the picture of reality constructed in our minds are complete? After all, that picture is nothing more than the subjective interpretation of streams of severely limited data, allowed to continue on its inward path to your mind only after it is processed and passed through multiple layers of physical and neurological filtering structures that are part of our pyhsical bodies. This reducing of bits, waves and fields of radiated and reflected energy to specific forms is not arbitrary, however, it is done for the practical reason of survival. Without this reduction of the spectrum of energies that flood the cosmos, to a manageable stream going into our brains, the physical vehicles forming a link between consciousness and the cosmos would be destroyed.

As we push the frontiers of scientific understanding beyond the simplistic pictures provided by our physical senses, the farther we go, the more we see that those pictures are imcomplete and misleading concerning the true nature of reality. The fact that our best pictures of reality, used by science to construct a Standard Model of reality, are incomplete and misleading, is reflected in the history of science. The Standard Model, the consensus of mainstream scientists, defended by many as the truth, is constantly changing. Examples abound: The consensus was once that the earth was flat and the center of the universe. The scientific model of reality is continually changing. Just during my lifetime, the confidently estimated size of the universe has changed by huge factors multiple times. The continental drift theory was rejected as psuedo-science when I was an undergraduate, but is now fully accepted as plate tectonics. And there are many more examples of the dynamic nature of scientific truth.

I have seen yesterday’s speculations become today’s reality many times since I was in my twenties in the late 1950s and early 60s. And this is as it should be. It is seen, in retrospect as progress. Perhaps the most instructive example is the search for the basic building block of the universe. As scientists studied the structure of physical reality, it became clear that the everyday objects of our experience were made up of smaller objects, and those smaller objects of yet smaller objects. The bodies of living plants and animals were found to be made of organic structures and cells, inanimate objects were found to be made of several types of macro-forms, supported by patterns of crystaline structures, and both cells and crystals were found to be made of molecules, and the molecules were found to be made up different atoms, which in turn were found to be made up of electrons, protons and neutrons.

But when scientists tried to find the most basic building block of atoms, it seemed to keep slipping through their fingers. The discovery by Max Planck that reality is quantized promised a bottom to this descent into micro-reality. From the point of view of a physicist, reality consists of only four things: matter, energy, space, and time. But physicist Max Planck said, in "'Das Wesen der Materie' ('The Nature of Matter')". Speech in Florence, Italy,, 1944.:

“As a man who has devoted his whole life to the most clear-headed science, to the study of matter, I can tell you as a result of my research about atoms this much: There is no matter as such.“

And Albert Einstein, on page 155, in Relativiy The Special and general Theory, said:

“There is no such thing as empty space… Space-time does not claim existence on ots own, but only as a structural quality of the field.“

So, three of the four things physicalists consider as real, either do not exist, or they are not what our senses seem to tell us they are! What about the fourth one: energy? Quoting Planck again:

“All [of what we call] matter originates and exists only by virtue of a force which brings the particle of an atom to vibration and holds this most minute solar system of the atom together.”

So is everything ultimately made of energy? Continuing on, Planck said:

“We must assume behind this force the existence of a conscious and intelligent mind. This mind is the matrix of all matter.”

So as long ago as 1944 (still well within my lifetime; I was born in 1936.) two leading physicists, Albert Einstein and Max Planck, now considered to be the founders of the two pillars of modern science: relativity and quantum physics, said that matter, energy, time, and space, have no existence of their own, and Planck went a bit further, he said that consciousness is behind matter and energy, the substance of physical reality.

So, to summarize, the four things we think of as the basic components of physical reality: space, time, matter and energy, are not what we think they are. This is just another way of saying they are illusions. And solid matter faded away as an illusion, as we learned atoms are mostly space. The “particles” we call electrons, protons and neutrons, are dependent upon energetic forces, and consciousness is behind the forces.

Application of the quantum math I’ve described in several publications, including Reality Begins with Consciousness, (Neppe and Close, 2015) and Is Consciousness Primary? (The Academy for the Advancement of Postmaterialist Sciences, 2019), reveals that consciousness (we called it gimmel) is present in electrons and the quarks that make up the protons and neutrons in every atom of what we call ordinary matter. Not only that, it is present in greater proportions in the elements of the periodic table that make up living organisms. Another important finding of analyses using quantum math is that individualized consciousness (you or me, for example) is part of the primary matrix of consciousness that is behind the forces that shape reality.

Conclusion: What we think of as physical reality is an illusion.

Application of the calculus of dimensional distinctios, the quantum calculus, shows that the basic building blocks of reality are formed in the underlying reality of Primary Consciousness by the conscious drawing of distinctions. As sentient beings, we are quantums of conscioiusness evolving in a dynamic quantized world floating in the infinite domain of Cosmic Consciousness. Thus we are all connected in consciousness, and the evolution of reality is not random, it is meaningful change driven by Spiritual forces.

ERC 9/22/2019

MATHEMATICAL LOGIC REFLECTS THE STRUCTURE OF REALITY

REALITY MATHEMATICS

INTRODUCTION

The theme of this presentation is that real mathematics is not a human invention. The language, and notation, the ways in which mathematics is described, may be human inventions, but the mathematical patterns of logical order observed as cause and effect, are not. They exist in nature. The universe is obviously dynamic, and the changes we observe and experience in the universe proceed in a well-ordered manner, and have apparently done so for billions of years; if that were not the case, there would be no such thing as science, nor even a universe. Our very existence depends on the continued orderly cycles of our natural environment, and that continued progression of orderly cycles depends upon stability at the very most basic level. That basic stability starts with the structure of the proton, the most stable compound structure in the universe. The breaking down, or radioactive decay observed in every other compound sub-atomic or atomic structure, has never been observed to happen to a proton. No one has seen a proton decay. If protons do decay, particle physicists estimate the half-life of that decay would be longer than the estimated big-bang age of the universe. 

With the addition of an electron, balancing the positive charge of the proton, the remarkable stability of the proton is passed on to the hydrogen atom, and this simplest of the atoms becomes the most abundant element in the universe. Gottfried Wilhelm Leibniz declared that the question: “Why is there something rather than nothing?”  is the first question science should seek to answer. To rephrase that seminal question, seeing that the proton is the basis of atomic stability, we must ask: Why are protons so stable? The answer turns out to be quite simple: Quarks, the quantum constituents that comprise protons, are not particles as physicists assume; they are energy vortices, spinning in three, six and nine dimensions, and protons are remarkably stability because two up-quarks and one down-quark are not just stuck together like tinker toys to form a proton, they merge like drops of water when they combine. The truth of this will be demonstrated in this presentation.

The main purpose of this presentation is to provide the rational foundation for, and the basic development of a primary quantum calculus capable of comprehensively representing the logical structure of reality. I will approach this ambitious task in three steps: 1) by recounting a brief overview of the history of the development of rational thought during the last 2,500 years or so, for the purpose of identifying the mathematical logic of the innate structure of reality; 2) by focusing on the most important ideas, concepts and theorems that point the way to a mathematics of reality that will re-unify mathematics, symbolic logic and the natural sciences; and 3) by describing some of the insights gained from the application of the integrative quantum calculus. The key ideas of the focus in steps #1 and #2 will include Gӧdel’s incompleteness theorem, G. Spencer Brown’s Laws of Form, and the principles of relativity and quantum physics.

The historical separation of the study of the innate logical structure of reality into separate intellectual disciplines like philosophy, number theory, algebra, geometry, quantitative analysis, the infinitesimal calculus, physics, chemistry, psychology, medicine, linguistics, anthropology, etc., etc. …,was necessary. It took a number of very dedicated, serious thinkers a few hundred years to construct the conceptual bases and specialized languages for each of these disciplines. Not even polymaths like Leibniz and Newton lived long enough to re-integrate the various disciplines into a consistent epistemology, and turn to the task of developing a reasonably complete ontology, i.e., an understanding of the true nature of reality.

Specialization, while necessary at first, quickly became a barrier to any comprehensive understanding of the holistic nature of reality. Today, specialists in one field can barely communicate with specialists in another field. Each discipline has its own language. For example, when I switched from the study of pure mathematics and theoretical physics to engineering in the middle of my academic career, to escape the ivory tower of academia, I was amazed to find that engineers had re-invented the wheel, so to speak, by developing their own languages, with special terminology and notations for basic parameters and mathematical procedures that had already been more efficiently defined in the natural sciences and pure mathematics. Specialization is modern science’s Tower of Babel.

As it turns out, the separation of disciplines, especially the separation of physics, mathematics and logic, into functionally independent disciplines, is a mistake that has led to the conflation of non-existent abstractions with reality, and logical consistency with truth. G. Spencer Brown partially rectified some of the confusion caused by this artificial separation of disciplines, and re-connected logic and mathematics, by introducing complex values analogous to complex number variables (expressed algebraically as a + bi) into the algebra of logic in his calculus of indications. But he fell short of re-connecting primary calculus with physical reality, even though he remarked on the similarity of the forms produced by the introduction of imaginary numbers into logic to the laminated onion-like structure of atoms. (Laws of Form p. 105) He also alluded to the role of consciousness in the development of the calculus of indications, but did not attempt to represent consciousness as a variable in the equations of the calculus, as we have done.

Brown re-connected mathematics and logic with a wonderfully functional interpretation of the calculus of indications for logic, in Laws of Form, but then observed that determinations of the truth or falsity of statements made in the calculus could not be related to existence or non-existence without risking the creation of logical paradox. He concluded that appealing to existence was, after all, not necessary in order to solve problems within the calculus. In addition, Brown concluded that while consistency and completeness could be demonstrated within the calculus, proof could only be established by appealing to a more comprehensive logic existing outside the calculus. This conclusion is consistent with Tarski’s theorem, and suggestive of Gӧdel’s incompleteness theorem. The connections between these theorems in pure theoretical mathematics and the natural laws of physical, mental and spiritual reality will be made clearer as we develop the calculus of distinctions, the quantum mathematics of reality.

To start with, we need to spell out some definitions in detail, so the reader does not have to speculate about any of the terms used, or supply definitions of his or her own, that may or may not coincide with the meaning intended.

BASIC DEFINITIONS:

Calculus: A calculus is a system of logic incorporating calculation. There is not just one calculus, several can be identified, associated with varying types of a priori assumptions.

Calculation: A calculation is a process that transforms symbolic representations of patterns of conceptual and/or existential distinctions from one form to another, different, but equivalent form. For example, 1 + 2 = 3 is an application of the fundamental mathematical operation of addition that transforms one symbolic representation, 1 + 2, to a different, but equivalent form symbolized by the integer 3.

Distinction: In the primary calculus of distinctions, a distinction is defined as anything that can be distinguished from its surroundings in any definable or describable way.

Equivalence:

In the Calculus of Dimensional Distinctions (CoDD), A is equivalent to B, if and only if, they simplify to the same basic value of the calculus.

Simplification:

A complex CoDD expression can be simplified by substitution of an equivalent, simpler expression. Examples will be provided later in this discussion.

Substitution:

The replacement of one expression by another equivalent expression.

Existing versus Conceptual Distinctions

In this discussion, because the calculus is anchored in reality, I am able to equate the term ‘existing’ with true and  ‘real’, as opposed to purely conceptual, signifying a mental image or construction that has no actual counterpart in the real world. By ‘real’, I mean either something existing physically, or something having measurable impact on physical reality, or both.

Consciousness: Consciousness is primary. That means that it cannot be defined in terms of anything else, and the correct answer to the oft-asked question “What is consciousness?” is: Consciousness is the a priori existential reality through which all things are perceived. It is that which gives rise to awareness, without which nothing could be said to exist.

Dimension: It is necessary to define the term ‘dimension’ very precisely for use in the calculus of distinctions, because currently, the term is used in a variety of ways in various fields of human thought, and thus can mean different things to different people. In the calculus of distinctions, it is limited to mean extension, nothing more, and nothing les: A dimension is measurable in units of a variable of extent in space, time or consciousness. Other types of variables are not dimensions, and should not be confused as such.

TRUE: In the physical universe, CoDD variables of space and time are quantized in multiples of the Triadic Rotational Unit of Equivalence (TRUE), the quantum equivalence unit based on the physical characteristics of the electron. Dimensional variables of extent in consciousness related to mental images, are reflections and contractions or expansions of the dimensional variables of extent in the physical universe.

Domain: Like dimension, the term ‘domain’ means a variety of things in common parlance, so we must also have a precise definition for the term domain in the calculus of distinctions. A domain is a region defined in terms of variables of extent. An n-dimensional domain is a region defined in terms of n dimensions. Space-time, e.g., comprises a 4-dimensional domain symbolized by 3S-1t, a volume is a 3-D domain, an area is a 2-D domain, a line is a 1-D domain, and point is a zero-D domain, known as a mathematical singularity in conventional mathematics.

Variables of Content, Extent and Intent

Content, i.e., energy and mass as energy equivalence, is quantized, and because of this, space and time, or space-time extent, which, as Einstein pointed out, is not fundamental because it has no existence of its own, must be considered to be quantized as well. Intent implies consciousness, and must be included because it impacts reality. The necessity of the quantization of space-time becomes very clear with the application of the calculus to phenomena measured in multiples of the quantum equivalence unit. Referring to a region of space-time smaller than the volume of the quantum equivalence unit has no meaning in quantized reality, because it leads to the confusion of particles and waves and a variety of problems related to the Pauli exclusion principle and what is known in contemporary quantum physics as ‘the measurement problem.’

This brings up some important points regarding the calculus of distinctions. When dealing with distinctions of extent, the calculus becomes the Calculus of Dimensional Distinctions (CoDD). In this calculus, a mathematical singularity, zero and nothing should not to be confused with each other. For the calculus to be properly related to the real world, the difference between these three concepts must be clearly defined.

The Concepts of a mathematical singularity, Zero and Nothingness

With the application of the calculus of distinctions to the real world, we must be clear that the state of non-distinction is not to be confused with the concepts of singularity, zero and/or nothingness. When counting objects, like apples or oranges, zero denotes the absence of a specific kind of object, not a state of nothingness. Similarly, the absence of a distinction does not indicate a state of nothingness, it just means that there are no distinctions in the field of awareness. The numerical value of zero is also sometimes confused with the concept of nothing. Zero can be assigned to a point on a line between other points representing positive and negative values. But, in quantized reality, dimensionless points (mathematical singularities), one-dimensional lines and 2-imensional planes do not exist; they are conceptual mental constructs only, giving rise to the confusion that something can be nothing, and that something might arise from nothing.

Distinguishing Conceptual Distinctions from Existential Distinctions

In today’s mainstream science, applications of macro-scale mathematical tools to quantum phenomena have led to serious confusions of abstract conceptualizations with existential distinctions, i.e., real phenomena. The inappropriate application of Newtonian calculus is perhaps the most obvious mistake of this sort, but there are even more basic instances of this kind of confusion. For example, the concepts of mathematical singularity (the point), line and area are often imagined to be structures that exist in the real world, but, in fact, they are purely conceptual and cannot exist in the quantized reality of the physical universe. Distinctions of less than three dimensions have no volume, and thus no capacity for substantial content. Replacing the concept of a point with one volumetric quantum equivalence unit (the TRUE) in the calculus of distinctions, and thereby accurately reflecting physical reality, allows us to clarify the difference between conceptual mental images and distinctions that exist in the real world.

Hilbert Space and CoDD n-Dimensional Domains

In previous publications, I have used the term Hilbert space, named after David Hilbert, the mathematician who extended Descartes’ 3-D space in which objects are located by three numerical coordinates, to n-dimensional space to accommodate non-Euclidean geometries. There are, however, significant differences between the classical concept of Hilbert space and the n-dimensional domains of the calculus of distinctions. In the CoDD, dimensions are limited to aspects of reality that can be measured in integral variables of extent. In the CoDD, Mass, energy, density, and other quantifiable features of objects existing in an n-dimensional domain, are measured using variables of content and/or combinations of variables of content, extent and intent, and should not be confused with dimensions, which are measured in variables of extent. To avoid this kind of confusion in the CoDD, dimensions are strictly limited to realities measured in variables of extent, and those variables are defined in terms of quantum equivalence units. In addition, in the CoDD domain, roughly analogous to Hilbert space, the dimensionless point is replaced by the multi-dimensional volume of the Triadic Rotational Unit of Equivalence.

A Triad of Variables are needed to Describe Existential Distinctions

Mass, energy, density, and other features of content in the quantized world, are measured using variables of content and/or combinations of variables of content, extent and intent. An existential object is only fully described by including variables of extent, content and intent or informational meaning associated with measurable impact. The three values possible in the CoDD are: 1) True, or real; 2) False, or non-existent; and 3) imaginary (analogous to a + bi), or extra-dimensional. With these concepts and definitions, as outlined above in mind, we can develop a useful functional notation for the calculus of dimensional distinctions.

 

(To be Continued)