Mathematical Physics

A Speculative Mathematical Ontology for Pre-Temporal Structure - Logical Construction from Set Theory, Category Theory, and Algebra

Authors: Allan Plankhart

We present a timeless mathematical construction of a pre-Big Bang universe. Starting from theempty set, we generate an infinite alternating chain of "something" and "anti-something", buildhigher-dimensional arrays, collapse to dimensions 1—3 due to Hurwitz’s theorem, introduce complex-valued fields with a U(1) symmetry ("oscillations" without time), ascend the division algebra ladderC → H → O, recover the Standard Model gauge group via Cohl Furey’s functor, extract electro-magnetic and spinor fields, and finally let time emerge as a monoid action R≥0 on the field space.The entire pre-temporal phase is a static diagram of functors and natural transformations; no timeparameter appears until the last step.

Comments: 3 Pages. (Note by ai.viXra.org Admin: Part of the diagram is cut off)

Download: PDF

Submission history

[v1] 2026-06-21 00:39:11

Unique-IP document downloads: 4 times

ai.Vixra.org is a AI assisted e-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. ai.Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.