arXiv subjects

Carl F. Diether III

Publications and source records attributed to Carl F. Diether III.

3 recordsLinked to original sources

arXiv2025

Local Quantum Mechanical Prediction of the Singlet State Using Geometric Algebra

We deduce the quantum mechanical prediction of $-{\bf a}\cdot{\bf b}$ for the singlet spin state employing local measurement functions following Bell's approach. This result represents the quantum mechanical expectation value for the joint measurement of spin projections in the singlet state. And is equal to the negative cosine of the angle between vectors {\bf a} and {\bf b}. Our derivation is corroborated through a computational simulation conducted in the Mathematica programming environment using geometric algebra.

physics.gen-ph↗

arXiv2020

On the Role of Einstein-Cartan Gravity in Fundamental Particle Physics

Two of the major open questions in particle physics are: (1) Why are the elementary fermionic particles that are so far observed have such low mass-energy compared to the Planck energy scale? And (2), what mechanical energy may be counterbalancing the divergent electrostatic and strong force energies of point-like charged fermions in the vicinity of the Planck scale? In this paper, using a hitherto unrecognized mechanism derived from the non-linear amelioration of Dirac equation known as the Hehl-Datta equation within Einstein-Cartan-Sciama-Kibble (ECSK) extension of general relativity, we present detailed numerical estimates suggesting that the mechanical energy arising from the gravity-induced self-interaction in the ECSK theory can address both of these questions in tandem.

gr-qc↗

arXiv2019

Existence of Matter as a Proof of the Existence of Gravitational Torsion

One of the reasons why Einstein-Cartan-Sciama-Kibble theory --- which includes torsion due to the intrinsic spin of matter --- is not widely accepted as a viable theory of gravity, is the lack of any experimental evidence for the gravitational torsion. But at the heart of all matter are elementary fermions, which are mathematically described as spinors, and can be viewed as defects in spacetime associated with torsion. Therefore, in this essay we argue that the existence of matter itself provides a proof that gravitational torsion exists, albeit only inside of matter, and hence it does not propagate.

gr-qc↗