Saturday, November 10, 2018


One of the founders and first President of the Academy for the Advancement of Postmaterialist Science (AAPS), Dr. Gary Schwartz, has suggested that I prepare an online course designed to help people understand Transcendental physics and the Triadic Dimensional Distinction Vortical Paradigm (TDVP), the shift to a consciousness-based science. The previous post, “TDVP MATHMATICS AND THE STRUCTURE OF REALITY”, together with this post, articulate the basis for such a course.

In the previous post, I discussed the difference between the Aristotelean and the Platonic approach. The Aristotelean approach (Aa) emphasizes the use of mathematics as a tool to solve problems, while the Platonic approach (Pa) looks deeper and sees mathematics as a reflection of the logical structure of reality. The Aa is primarily descriptive, while the Pa is primarily explanatory. So, contrary to the belief of scientists like professor Rowan-Robinson, quoted in the previous post, neither is wrong, both are needed, and they must be integrated in the search for truth.

Publishers tell authors writing for the general public to avoid equations. They say something like: “With every equation, you lose a thousand readers.” Most mathematicians, however, think in equations, and most physicists use equations to describe physical processes. Equations are the sentences of the language of mathematics and science; and every branch of science and engineering has developed its own language. To understand Transcendental Physics and TDVP, you must set aside such specialized languages and learn a new language, a language integrating physics and geometry, engineering and theory; thinking and doing. That language is a primary calculus that I call the Calculus of Distinctions (CoD). It includes procedures like Dimensional Extrapolation {moving from an n-dimensional domain to an (n+1)-dimensional domain}, quantum equivalence units, called Triadic Rotational Units of Equivalence (TRUE) and Diophantine equations that I call Conveyance Equations, because they convey the logic of consciousness into physical structure. Are these intimidating terms for you? They won’t be if I’m able to develop a course comprised of clear, simple steps from the basics to the integrated language of TDVP.

Understanding the CoD is the first crucial step toward  understanding TDVP. Inspired by George Spencer Brown’s “Laws of Form”, I developed the calculus of distinctions in 1986, and published the basics in my second book, “Infinite Continuity” in 1990, and expanded on it in “Transcendental Physics” in 2000. Even now, more than 30 years after the first inspiration, only a few people, probably less than half a dozen, understand the importance of the calculus of distinctions, a system that integrates mathematics, science and consciousness.

I’m called a mathematician, physicist, logician and cosmologist because I’ve gone through the training and hazing of formal education: from high school math and science to college and university courses in applied and theoretical science and engineering, attaining degrees, and going on to post-graduate research. But in this integrated course, I must rise beyond, and go deeper than those specialized labels. I am no longer a physicist or an engineer, no longer an Aristotelean or Platonic thinker, a scientist or a lay-person, neither a materialist nor a spiritualist, I am an integrated human being. And the task I am setting for myself is nothing less than to explain in simple terms, the integration of the human search for truth, i.e., the integration of mathematics, science, philosophy, and spirituality.

·      Physical reality is quantized. This simply means that the basic measures of physical reality, i.e., mass and energy, only occur in multiples of one very small unit, and that is the smallest quantum unit.

·      An exact equivalence exists between mass and energy. That means that mass and energy are simply two different forms of the same thing. This is expressed mathematically by the simple equation E = mc2, where c, the speed of light, is defined as the distance travelled in a given unit of time, like miles per hour, or meters per second.

·      In observing, describing and measuring physical reality, there are two types of variables: variables of extent: width, length and depth, and variables of content: mass and energy. All other measurables are combinations of these.

·      To describe quantum reality in its simplest form, all units of measurement of the variable of observation and measurement must be normalized directly to the quantum equivalence unit of mass and energy. This is done very simply by naturalizing the speed of light to unity; i.e., by defining the speed of light as one, so that c = one unit of distance divided by one unit of time. In other words, c = 1/1 = 1. In this system of units, with c = 1, from which c2 = 1, the equation E = mc2 becomes E = m, signifying a one-to-one relationship between mass and energy.

·      Along with the two types of physical variables of content and extent, there is a third type of variables, the variables of consciousness. They are the variables of intent, resulting in impetus and impact on physical reality, leading to meaningful structure and purpose.

·      There are no “separate realities”. Quantum reality and macro-reality are one and the same, and that reality includes both physical objects and conscious beings. Therefore, a comprehensive science must include both consciousness and physical objects, and the way in which they relate to each other.

·      Consciousness, i.e., conscious reality, is a reality that is as important as, if not more important than physical reality. Without it, there is no you or me.

·      The reality we experience, in all of its complexity, begins with the simple drawing of a distinction. This is why we (Neppe and Close) called our first book together “Reality Begins with Consciousness”. All the various forms of reality arise from the drawing of distinctions.

·      The first and most important distinction is the distinction of self from other.
·      Secondary distinctions are formed in the “other”. They are formed, or are recognized as pre-existing by conscious entities.

·      All of natural atomic structure (called hadronic matter by contemporary science) is made up of electrons, protons and neutrons. But protons and neutrons are made up of up-quarks and down quarks. So the three basic building blocks of stable atomic structure, capable of forming molecules, hadronic matter and sustaining life, are electrons, up-quarks and down-quarks.

·      The basic quantum equivalence unit is derived from the physical characteristics of the electron, the elementary entity with the smallest mass among the three basic building blocks.

·      All of the basic units of measurement of mass, energy, space, and time can be naturalized to the quantum equivalence unit, which, because of the spinning of elementary particles, and the inclusion of consciousness, is called the Triadic Rotational Unit of Equivalence (TRUE), the true quantum equivalence unit. See derivations in Parts 8 - 13 of the IQNexus article referenced in the previous post. (Putting Consciousness into the Equations of Science: The Third Form of Reality (Gimmel) and “TRUE” Units (Triadic Rotational Units of Equivalence) of Quantum Measurement, the IQNexus Journal, 2015 Vol. 7, No. 4.

·      This basic quantum equivalence unit (TRUE) is the basic distinction of the calculus of dimensional distinctions (CoDD), a subset of the primary logic of the CoD.

·      All measurements are integer multiples of this unit, and all equations describing the combination of elementary entities including electrons, quarks, protons and neutrons will be Diophantine equations, i.e., equations with integer (whole numbers: 1, 2, 3, …) solutions. This allows us to use mathematical theorems (independently proved relationships) like the Pythagorean Theorem and Fermat’s Last Theorem, to answer questions like why quarks combine in threes and why fermions have one-half integral spin.

An understanding of these basic concepts should enable anyone to follow the logical development of TDVP, including putting consciousness into the equations of science, and the solutions and explanations of many problems that cannot be adequately addressed in the paradigm of current mainstream science.

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