(Foundations Paper 1)
D. J. Huntington Moore
Traditional sciences deal with predicting the future from the past or inferring theorems from assumed axiomatic truth and so forth. The standard preoccupation is with the a priori and a posteriori aspects of reality and the relationship between the two. An alternative synthetic scientific paradigm follows the path of the ancient Greeks and explores the non-dualistic position of the Parmenidean world in between. Things in the future and the past do not objectively exist. only what is present now objectively exists. Traditional science is thus diachronic in nature; the alternative and complementary synthetic science will be synchronic, anchored to the immediacy of the subject’s nowness. Everything changes. However, the Now never seems to go away. In fact, it starts to take on the allure of a universal invariant, always there, never absent no matter what the situation.
This paper argues that in order to solve the age-old problem of developing a synthetic alternative to analytic sciences there is no need for massive innovation. The ancient Stoics already worked out the basic ingredients. The paper fills in the dotted lines and presents a reverse engineering of Stoic physics, logic, and ethics to illustrate how tightly and interdependent the system was integrated. A key ingredient in the unification of the Stoic system is a universal construct based on ontological gender. Using the ancient gender construct, one can revive the classical four element theory of substance, and show how it can apply universally even to “logical substance” in the form of Stoic logic based on the five indemonstrables. The paper illustrates how this gender-based algebra of substance provides explanations of familiar quantum mechanics style phenomena. The paper also investigates Four Element Theory as a universal science of Nature explaining the four-letter genetic code together with the four fundamental forces of physics.
Keywords: quantum algebra; genetic code; gender; non-duality; First Classness; Stoicism; four letters; geometric algebra; epistemological bi-lateralisation.
The Whole Thing is a (Now) Number
All of the traditional sciences of our day are founded on analytic arithmetic, a relatively recent development. The ancient Greeks practiced a synthetic kind of arithmetic. Instead of scalar magnitudes, they resorted to geometric line segments. The product of line segments could be a rectangular area, or a volume, for example. Theirs was a geometric arithmetic. In this paper, based on previous work, we report a new kind of science using non-ordered synthetic number. We call them now numbers. The number system is binary with the two elementary parts corresponding to the ancient ontological gender construct. It turns out that there are four elementary now numbers corresponding to the binary genders fm, ff, fm, and mm, reminiscent of the implicit gendering of the four classical elements.
We show how these four now numbers can be interpreted as providing the geometric semantics of the four letters of the genetic code. We can also show how now numbers exhibit spacetime like and quantum mechanics like semantics. The synthetic role of now numbers is to construct organisms capable of attaining and maintaining a coherent individual Nowness. Thus, as the Pythagoreans declared, perhaps you and even the whole thing are composite now numbers.
Keywords: Quantum Algebra, geometric algebra, dispositions, genetic code, Analysis Situs, Stoicism, Leibniz, hyper-complex numbers
The Universal Geometric Algebra of Nature: Realising Leibniz’s Dream
(Foundations Paper 3)
D.J. Huntington Moore
Many researchers in the field of Geometric Algebra claim it to be the universal language of mathematics and physics and so realise Leibniz’s vision. Their claim has some merit. However, Leibniz’s geometry without number vision was much more ambitious. For example, Leibniz claimed that the geometry would explain the forms of plants and animals ‘in a few letters.’ Since the discovery of the genetic code, we now know such a code indeed does exist. However, Geometric Algebra makes no reference to the genetic code, the truly authentic algebra of Nature. In this paper we work closely with Leibniz’s core concepts, together with a strong Stoicism influence, and show how his approach to metaphysics and geometric algebra can be made tractable. The end result is a geometric algebra based on a four-letter alphabet. The four letters are shown to correspond to the geometric semantics of timelike, lightlike, spacelike, and singular vectors of a geometric algebra. We propose an exact mapping of these four generic letters to those of the genetic code. Thus, the genetic code is interpreted as expressing generic geometric organisation based on a Leibniz style geometric algebra rather than being a mere transcription code as stated in the Central Dogma of biochemistry..
The overall picture presented here is that of metaphysics playing the role of an operational science much like Heaviside’s Operational Calculus does in providing the much simpler synchronic alternative to the traditional analysis of time series. Like Leibniz, we claim that this new operational approach to science and philosophy can explain not just the generic forms of the animate, but also the inanimate.
Keywords: quantum algebra, genetic code, spacetime geometry, metaphysics, geometric algebra, adjoints, first classness
Logic Driven Physics: predicting the Standard Model and beyond
The basic hypothesis advanced by this paper is that the genetic code not only codes the building blocks of biological organisms but also codes the elementary particles of Physics. The genetic code is interpreted as a generic means of coding entities that satisfy the principle of First Classness where no entity within the system is in a privileged position relative to all others. In previous work, it was argued that such a draconian condition enforces a generic geometry on any organism organised accordingly. In the case of Particle Physics, the universe as an organism respecting First Classness must be based on this geometry and its algebra. The generic algebra has four letters. The geometric semantics of the four-letter code is expressible in terms of generic timelike, spacelike, lightlike, and singular vectors within a Geometric Algebra methodology.
These four generic geometric forms are called “quarklets” as any quark, lepton, or boson can be constructed from a triad of quarklets. The paper develops simple techniques for calculating generic spin, different kinds of generic charge and other parameters. The predicted elementary particles are compared with the Standard Model using programmed database calculations resulting in exact matches. The only difference is that there is no need for fractional charges in the Generic Model and there are more particles than known in the Standard Model. The new particles, if they exist, are possibly empirically undetectable. The geometric methodology was inspired by the famous vision of Leibniz for a geometry without number that would simply explain the form of natural tings.
Keywords: genetic code, Particle Physics, spacetime geometry, geometric algebra, Leibniz, quarklets, Standard Model, Generic Model