Sunday, August 14, 2022




© Copyright August 2022, Edward R Close

“The opposite of a correct statement is a false statement. But the opposite of a profound truth may well be another profound truth.” – Niels Bohr



What’s it all about? Well, actually, it is in fact, about YOU! But don’t misunderstand; it’s not about the little egoistic you, sometimes feeling befuddled, struggling like a hapless worm to survive in a hostile environment. It’s not about any of the fake personas that we have created over the course of many lifetimes to cover up the horrible fear of oblivion that grips every emerging conscious lifeform, and from which every ego so desperately desires to escape. No, not any of that nonsense. The real reason that this planet, our solar system, and the billions upon billions of galaxies and stars of the physical universe, expanding into the cosmic majesty of Infinity, and all of the experiences that are available in life, death, and beyond, exist at all, is for the sole purpose of providing you, me, and every soul in existence with opportunities for the real “I Am” to emerge from the muddy darkness of material existence into the Eternal Light of Spiritual Reality, with the full realization of our true nature as bright-shining Immortal Spiritual Beings, filled with the Love and Light of God.

In previous posts, I have taken great pains to point out that the real geniuses of science, the paradigm breakers, Albert Einstein, and Max Planck, have actually agreed with the transcendent realized masters of spirituality and believers in the perennial philosophy, when they said:


All matter originates and exists only by virtue of a force. … We must assume behind this force the existence of a conscious and intelligent Mind.” And “Space and time can claim no existence of their own. … What we have called matter is energy, whose vibration has been so lowered as to be perceptible to the senses. Matter is spirit reduced to a point of visibility. There is no matter. …Time and space are not conditions of existence, spacetime is a model we have developed for thinking.”


In this post, I will carry this line of thought further, going beyond the limits of the binary thinking of contemporary science, into the tertiary quantum logic of  the Triadic Dimensional Vortical Paradigm (TDVP) and the Calculus of Dimensional Distinctions (CoDD). It is high time for humanity to break out of the materialistic binary thinking of dimensions of space and time, common for the past 3,000 years, and expand into the three, six, and nine dimensions of the quantized reality of Space, time, and consciousness in which we actually exist.


Let’s think about this for a minute: When we realize that science is just beginning to emerge from a period of time that included the very lowest point of mental and spiritual virtue on this planet during the last 24,000 years, as explained in The Holy Science by Swami Sri Yukteswar Giri, it becomes apparent that binary thinking is a natural mode of thought and communication for the citizens of the planet when the ability to see any deeper into reality is lacking in the consciousness of human beings in general. As thought began to progress beyond the basic requirements for physical survival, and spoken language was slowly developing again for person-to-person communication, drawing, and marking on clay tablets, wood and stone was a natural way to record and supplement memory, which was unreliable and often distorted. Even up to the present time, communication is mostly two-dimensional, whether displayed on the printed page or the screen of a computer. But binary thinking and two-dimensional visualization leave a lot to be desired.


The low point in the current planetary time cycle of Planet Earth occurred in 499 AD, but some of the knowledge from the highest point of mental and spiritual virtue in this cycle, which occurred in 11,501 BC, was preserved in stone monuments and recorded in multi-dimensional forms of communication, the remnants of which barely survived in ancient libraries to be interpreted by a few advanced souls who reincarnated for that purpose during the darkest period of planetary time from about 700 BC to 1700 AD. Binary logic is sufficient for mechanical calculations dealing with the concepts of mathematical singularities, one-dimensional, and two-dimensional conceptual domains, but it is woefully inadequate for dealing with the realities of three or more dimensions. The science of the future will have to operate on the basis of tertiary logic and the most basic fundamental operations of arithmetic, i.e., addition, subtraction, multiplication, and division, that we are taught as children, will have to be redefined for consistency with the multi-dimensional relativistic quantum calculus that is needed to describe the quantized reality in which we exist.


This transition to tertiary thinking is never easy in any time cycle, but it will have widespread application in logic, mathematics, and every field of science. It will also prove to be a necessary transformation in the thinking of the average citizen of human society before we can move beyond identity politics, tribalism, and bloody warfare. Current materialistic binary thinking is not only holding scientists back from even realizing that there is a need for a fundamental change in thinking, but it is also threatening to divide us in a way that could set civilization back, at least temporarily. all the way back to the stone age.


Fundamentally, we have to get beyond the barrier created by Bertrand Russell when he broke away from the deeper spiritual thinking of his mentor, Alfred North Whitehead, and promoted binary logic in the theory of types, with the axiom that a statement had to be either true, false, or meaningless. Ironically, the theory of types, even though it identified three types of statements, actually locked us into binary thinking because the third type was discarded as ‘meaningless’. The British logician George Spencer Brown corrected this error and published it in his book Laws of Form in the 1960s. He introduced the fourth type of statement, reflecting the self-referential imaginary numbers of pure mathematics. He described the situation as follows:


“In ordinary algebra, complex values (which include real numbers and the square root of minus one) are accepted as a matter of course and the more advanced techniques (of science and engineering) would be impossible without them. In Boolean algebra (and thus in all our reasoning processes) we disallow them. … At the present moment we are constrained, in our reasoning processes, to do it the way it was done in Aristotle’s day.” Brown included complex values as fundamental in the development of his calculus of indications and showed how complicated logic problems could be solved much more easily with application of the primary calculus he developed, than with contemporary binary thinking.


Russell acknowledged Brown’s discovery, but unfortunately, the scientific community was not ready to accept it yet, and  Brown suffered a fate somewhat similar to that of Georg Cantor, mentioned in my last post. The fact that people like Ram Das, Timothy Leary, Alan Watts, Charles Tart, and Ed Close were interested in what Brown had to say in the 1960s and 70s, caused most mainstream mathematicians and scientists of the day to shy away from his monumental work as “too esoteric” to be considered seriously. I have relied on Brown’s brilliant work and acknowledged his influence many times, from around 1980 until the present. When my research partner, Dr. Vernon Neppe tried to contact Brown to explain how we were using and extending his work in 2013 or so, he was uninterested. He was busy watching the Wimbledon tennis finals at the time, and asked in an irritated tone; “How did you get this number?” I decided to try to contact him later, in 2016, only to learn that he had passed away in August of 2015, at the age of 93.


I need to point out that Laws of Form did not deal with the physics of extra dimensions, even though the similarity of ‘the Form’ to atomic structure was noted, and it was suggested toward the end of the book, that leaving and reentering the form at deeper levels of dimensionality might open the door to a deeper understanding of the nature of reality. But an even more important implication of the quantum calculus of TDVP based partly on Brown’s calculus of indications, with the discovery of gimmel, is the way every conscious being may understand the mystery of life and his or her place in it. The link below will take you to a YouTube video of me talking about gimmel, “The Mysterious Component of Reality” on New Thinking Allowed with Jeffrey Mishlove: Click on it here or copy and paste on your browser to watch at your leisure.


The Puzzle of Life

In one of his most popular songs, John Denver sang a catchy line that goes like this: “Up in the morning, I’m as fit as a fiddle; coffee’s in the pot and cakes on the griddle. Life ain’t nothin’ but a funny, funny riddle! Thank God I’m a country boy!” That expresses one attitude toward life, but of course there are other possibilities. But I submit to you that this is what life is all about: solving the riddle of life and existence. What does it mean to ‘solve this puzzle’? It means resolving the paradoxes and the many polar opposites presented to us by reality, like existence and non-existence, the infinitely large and the infinitesimally small, consciousness and oblivion, stupidity and enlightenment, and life and death.


At some point, we have to realize that solving the puzzle of life is what we are here for, and clearly a single lifetime is insufficient for anyone to accomplish this. Many well-known people, and millions of ordinary folks, have memories of past lives that have been verified, I have memories of several, myself, but, despite the fact that the majority of the human beings on this planet profess belief in the transmigration of souls in some form, Western Civilization labors under the delusion that we are given only one life. While it is true that while portraying a specific role scripted by the DNA in the bodies we currently occupy, we have this one life to live, our souls are immortal. This truth was contained in many ancient records that survived the dark ages in the form of what we now call gnostic religious scriptures, but the Roman Emperor Justinian I forced the Bishops of the Catholic Church to remove all explicit references to the immortality of the soul from their teachings under the threat of death, for purely political reasons in his Anathemas against Origen in 553 AD. I have written about this in some detail, partly from past-life memories of that time, in Secrets of the Sacred Cube, a Cosmic Love Story, published in 2019.


As most of my readers know, I began my academic career as a student of the basic science of physics at the age of fourteen, inspired by Albert Einstein’s theory of relativity. I found the undeniable utter simplicity and experimental validation of physics totally captivating. Fortunately, as Einstein and Planck did, toward the ends of their lives, I outgrew that fascination with physicality very early in this life, realizing that there is much more to the reality we experience than matter, energy, space, and time. About a decade ago, a vocal critic of my work developing the mathematics underlying the simplicity of physics, because he was impressed with the way I applied the principles of relativity to the dynamic physical characteristics of the electron, declared that “You may have been a physicist once, but you are no longer a physicist!” Of course, he did not mean it as a compliment, but he was right. I had moved beyond the simplicity of materialism in my thinking, long ago.


“A physicist is just an atom's way of looking at itself.” – Niels Bohr


Laws of Form, Mathematics of Consciousness, and the Calculus of Dimensional Distinctions

The way I expanded my thinking about science and life in general, already many years ago, was by embracing the logical paradoxes and contradictions of mathematics and resolving the epitome of the opposites listed a few paragraphs above: “existence and non-existence, the infinitely large and the infinitesimally small, consciousness and oblivion, stupidity and enlightenment, life and death.” The logical method of the resolution of opposites is something I wish to convey to you in this blogpost. In other words, I would say that in order to solve the puzzle of life and existence, one must adopt the attitude of the Danish Quantum physicist Niels Bohr, who said:


“How wonderful that we have met with a paradox. Now we have some hope of making progress.” He also said: “The opposite of a correct statement is a false statement. But the opposite of a profound truth may well be another profound truth.”


The same attitude was expressed  by G. Spencer Brown, a British author and logician while discussing his book Laws of Form and his calculus of indications at a meeting in the Esalen Institute in Big Sur California in 1973. He explained to a small group of people on the leading edge of modern thought at the time that the major theme of his work was that the imaginary numbers of Boolean algebra are not really imaginary. Instead, the square root of minus one is a mathematical paradox that expresses the self-referential nature of reality and provides a way to formally expand logic beyond the limitations of simplistic binary thinking. One of the people privileged to attend that meeting, Cliff Barney, pointed out the fact that the square root of minus one is a paradox similar to the self-contradictory statement “This statement is false”. He explained it this way:


The square root of minus 1 is a logical paradox; if the "1" is negative, it can't be a square, and if it's a square, it can't be negative. Nevertheless, designers use √-1 in equations while building space ships that real men then fly in. Brown, in his days as a computer engineer, used the imaginary Boolean values to devise a safety system for British Railways that operates by counting and uncounting the number of wheels passing a given point. Real trains use this system, big wheels run by faith and little wheels run by the grace of God.”


For more about this meeting of minds, or confusion of minds, depending on how you look at it, can be found on line by clicking on the links below. and


To be clear, the Calculus of Dimensional Distinctions, the mathematical heart of the TDVP of Close and Neppe, is the logical completion of the transformation from binary thinking to tertiary consciousness, that was started by G. Spencer Brown in Laws of Form. The triadic connection between physics, conceptual modeling, and consciousness was completed when the mathematics and physics creating the stability of the proton and the development of the TRUE quantum equivalence unit based on the mass and volume of the electron led to the discovery of the quantifiable existence of consciousness in the form of a new form of reality that is neither mass nor energy, that we call gimmel. Consciousness, at long last, has been included in the equations describing the reality. Let’s look at what this means in regard to the experience of life and death and the existence of individual conscious beings like you and me.


There are three ways, at this time, that individual conscious beings are reacting to being alive: 1) Some assume that life is an accidental by-product of material evolution, and that consciousness is just a temporary freak of nature. Believing this, they try to get through life with as little pain and suffering as possible and welcome the oblivion of death when it comes. 2) Some accept life as a strange, undecipherable puzzle that can’t be solved. Their mantra is: just accept it and enjoy it as much as you can whenever you can. 3) Others see life as having meaning and purpose and as an opportunity to learn and expand consciousness through the experiences of physical existence. If you’ve been reading and understanding my posts, you will know which attitude is the correct one.


Once we realize that the sole purpose of everything that exists, from the smallest quantum of mass and energy to the wholeness of the entire cosmos is for the spiritual development of consciousness from the bare awareness of being to the complete enlightenment of Cosmic Unity, the way we look at existence, non-existence, matter, energy, space, time, consciousness, and our own life and death, changes forever. The logical paradoxes, including the paradoxes discussed earlier, and the mathematical paradox of the square root of minus one, when resolved by growing and expanding consciousness, become doorways to the additional dimensions of reality.


Solving the Puzzle

When I first read Niels Bohr’s statement quoted at the beginning of this post (“The opposite of a correct statement is a false statement. But the opposite of a profound truth may well be another profound truth.”), I couldn’t think of a single truth, profound or otherwise, that had an opposite that was also true. But once I accepted his statement that paradoxes are opportunities for progress in the expansion of consciousness and began to resolve the paradoxes of contemporary physics and mathematics, examples of what he was talking about popped up like flashes of gold nuggets in the black sand at the bottom of a prospector’s pan. For example, resolving the expanding universe paradox and the God paradox (See my July 16 and July 27 posts.) revealed the fact that the finite mind of an individual could be expanded into the bounded infinite series of the uncountable infinity of infinities of the mind of God. This meant that consciousness, in contrast with the quantized nature of physical matter and energy, is infinitely continuous. That, in turn, implies that, as conscious beings, we are all connected through the infinite continuity of spirit. Thus, the profound truth that in Spirit, we are all one and the same, and the opposite of that profound truth, the fact that every soul is unique (in terms of where that soul is on the journey from minimal awareness to Cosmic Consciousness) is also true!


Finally, if we adopt the attitudes of Niels Bohr and G. Spencer Brown, that logical paradox is the doorway to an expanded awareness of reality: accept the conclusions of Max Planck and Albert Einstein that matter, energy, space, and time are human ways of thinking about reality, not reality itself and that the conscious intelligent mind of God is the reality behind it all; and consistently adopt approach number 3, based on the knowledge that life has meaning and purpose as an opportunity to learn and expand your immortal consciousness through the experiences of physical existence, then, with focus, concentration, and will power, you can expand your awareness of reality by resolving the opposites of every logical paradox as they arise, see beyond the limitations of matter, energy, space, and time, and move forward during this lifetime on your own unique path to Cosmic Consciousness.


ERC – 8/14/2022

Swami Sri Yukteswar Giri

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