Mathematical Physics

    

Scale-Invariant Embeddings in a Riemannian Spacetime

Authors: Carsten S.P. Spanheimer

A framework for calculations in a semi-Riemannian space with the typical metric connection and curvature expressions is developed, with an emphasis on deriving them from an embedding function as a more fundamental object than the metric tensor. The scale-invariant and 'linearizing' logarithmic nature of an 'infinitesimal embedding' of a tangent space into its neighbourhood is observed, and a composition scheme of spacetime scenarios from 'outer' non-invariant and 'inner' scale-invariant embeddings is briefly outlined.

Comments: 20 Pages.

Download: PDF

Submission history

[v1] 2013-10-26 10:57:34
[v2] 2013-11-24 10:47:46
[v3] 2014-04-04 09:01:45

Unique-IP document downloads: 504 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