Quantum Gravity and String Theory

    

Mostly-Destructive Consequences of Non- and Nowhere-Analyticity of the Spacetime Metric

Authors: Warren D. Smith

This paper will explore consequences of the discovery in my previous paper (http://vixra.org/abs/2507.0097 Smith 2026) that Einstein vacuum solutions are not necessarily real-analytic, and indeed can be (and therefore presumably generically are, since the analytically-smooth spacetime metrics form an infinitesimally tiny subset of the much wider class of permitted functions) nowhere-analytic. These consequences [could be] hugely destructive for many former physics ideas that implicitly or explicitly depended upon analyticity assumptions — such as "ER=EPR," "AdS-CFT," or "maximal analytic extensions" — []. However, [], I invented the promising new "mirror paradigm," which might be crazy, but if valid offers a simple and nice way to resolve most or all famous "paradoxes" associated with black holes. We also, surprisingly, make some new observations even about the hugely-studied Schwarzschild/Kruskal black hole.

Comments: 19 Pages. (Note by viXra Admin: Please use modest language! )

Download: PDF

Submission history

[v1] 2026-07-15 22:10:38

Unique-IP document downloads: 0 times

Vixra.org is a pre-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. 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.

comments powered by Disqus