**This is the abstract for a paper I'm preparing for a mathematical physics journal. Obviously it is a technical and mathematical paper, but I plan to post it here after it has been published.**

**QUANTUM MATHEMATICS FOR QUANTUM REALITY**

**By Edward R. Close, PhD, DSPE**

**ABSTRACT**

Arguably the most important scientific discovery in modern
times is the revelation that we exist in a quantized reality governed by the
laws of general relativity. By far the most successful mathematical procedure
used by scientists to analyze physical reality is the calculus of Newton and
Leibniz. But, mainly

*because of its successes*, the fact that Newtonian calculus is mathematically inappropriate for application to the quantum phenomena revealed by Planck and Einstein discoveries has been largely overlooked. It is the theme of this paper that this oversight causes much of the co-called “quantum weirdness” that physicists often talk about, and that the proper analysis of a quantized reality requires an appropriately quantized system of mathematical logic.
In this paper, focusing on the four most basic
elementary particles: photons, electrons, up-quarks and down-quarks, a system of
mathematical logic operating on quantum mass-energy-volumetric equivalence units
is introduced. The Triadic Rotational Unit of Equivalence (TRUE) quantum
equivalence unit is derived from the basic principles of quantum mechanics,
relativity and particle-wave complementarity. Introduction of quantum
equivalence units enables us to revise the calculus of Newton and Leibniz to produce
a calculus that is more appropriate for application to the phenomena of relativistic
quantum reality.

Applying this new calculus to elementary particles and
combinations of elementary particles, we obtain a clearer understanding of the
sub-atomic, atomic and molecular structure of reality. The use of this system
of quantized mathematical logic clears up much of the “quantum weirdness”,
yields new information about the multi-dimensional nature of reality, and makes
the scientific description and analysis of quantum phenomena much more comprehensible
and complete. As a result, experimental data that seemed irrelevant become
meaningful, and some observations that are inexplicable in the current
paradigm, are explained.