Mathematical Physics


Infinitely Complex Topology Changes with Quaternions and Torsion

Authors: Jonathan Tooker

We develop some ideas that can be used to show relationships between quantum state tensors and gravitational metric tensors. After firmly grasping the math by $\alpha$ and Einstein's equation, this is another attempt to shake it and see what goes and what stays. We introduce slightly more rigorous definitions for some familiar objects and find an unexpected connection between the chirological phase $\Phi^n$ and the quaternions $\bm{q}\in\mathbb{H}$. Torsion, the only field in string theory not already present in the theory of infinite complexity, is integrated. We propose a solution to the Ehrenfest paradox and a way to prove the twin primes conjecture. The theory's apparent connections to negative frequency resonant radiation and time reversal symmetry violation are briefly treated.

Comments: 15 Pages. 5 figures, minor edits

Download: PDF

Submission history

[v1] 2015-05-17 16:56:13
[v2] 2015-06-07 17:23:07

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