Gregory L. Light

Abstract

The commutator identity, [(1/2) sigma z, sigma x] = i sigma y, is shown to be equivalent to [P, X] = (h/2πi)I over the eigenspace of sigma y, {(1, i)}, which is a diagonal manifold, accounting for the wave-particle duality, where (1/2) sigma z = momentum P leads to the half-spin, baryon asymmetry, the origin of the rest mass and electric charge. The overall logic structure can be founded upon Einstein’s shell equation, of which the complex conjugates lead to a pair of {matter, antimatter} of opposite linear momenta in a Euclidean 3-space, as manifested in (+/- ) sigma z, which is true if and only if sigma z represents a momentum operator, but momentum operator has its complement position operator via the Fourier-Plancherel operator F - - which takes the form of three 2-by-2 unitary matrices transforming among the three frames from the three Pauli matrices: momentum sigma z , position sigma x, and a covering map sigma y of a real line to a unit circle, thereupon uniting classical and quantum physics and accounting for the “dark universe.”  In short, Dirac’s spinor algebra initiated an incomplete cosmology, which in particular has misled the understanding of antimatter, potentially affecting its production and preservation in Material Science.

What will the audience take away from presentation:

• Matter is based on the right-hand orientation; antimatter, the left-hand orientation. If we could curl our right middle fingers upward, we would arrive at the left-hand orientation. I.e., antimatter can be produced (CERN antimatter factory) differently by a simple 180-degree rotation in the familiar 3-space to alter a left-handed positron into a right-handed electron.


• Medical imaging (“PET” - - Positron Emission Tomography) could be affected.


• The search of antimatter is unnecessary.


• A potential concern of this revelation is that if antimatter can be produced more easily, then it raises the question of its risk, for its astronomical amount of energy as released from a pair annihilation (film, “Angels & Demons).


• The search of dark matter/dark energy is unnecessary, since the existing spacetime geometry is incorrect. We live in a diagonal universe of particle-waves; both have energies. In particular, our thoughts are electromagnetic waves, of (physical) energies; they impact on our bodies.