Mathematical Physics

Detecting the 2-Dimensional Sector in a Collapsed Pre-Temporal Ontology: Shadow Weak Isospin and the Singlet--Doublet--Triplet Correspondence

Authors: Allan Plankhart

Building on a pre-temporal collapse model, we derive a structural correspondence between the surviving 2D sector and the Standard Model’s weak isospin. We show that an embedded 2-brane in a 3D bulk possesses a local frame rotation group SO(3). The spin connection on the brane is an so(3)-valued one-form.Since so(3) ∼= su(2), this connection is exactly an SU(2) gauge field, and spinorial matter confined to the brane necessarily transforms as doublets. This geometrically forces the effective field theory to be Yang—Mills with a Chern—Simons term, uniquely constraining the dynamics. We construct the resulting action, including kinetic mixing with the 3D bulk, and derive testable signatures: a dark matter fluid from the brane foam, distinctive CMB non-Gaussianities with a characteristic oscillatory power spectrum, and missing-energy collider events with a topological mass peak. We provide current constraints and outline the Boltzmann evolution needed for precise predictions.

Comments: 11 Pages.

Download: PDF

Submission history

[v1] 2026-06-26 09:44:58

Unique-IP document downloads: 33 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.