Authors: Steven Kenneth Kauffmann
A fundamental theorem underpinning Einstein's gravity theory is that the contraction of a tensor is itself a tensor of lower rank. However this theorem is not an identity; its demonstration cannot be extended beyond space-time points where the space-time transformation in question has a Jacobian matrix with exclusively finite components and that matrix' inverse also has exclusively finite components. Space-time transformations therefore cannot be regarded as physical except at such points; indeed in classical theoretical physics nonfinite entities don't even make sense. This, taken together with the Principle of Equivalence, implies that metric tensors can be physical only at space-time points where they and their inverses have finite components exclusively, and as well have signatures which are identical to the Minkowski metric tensor's signature. For metric-tensor solutions of the Einstein equation there can exist space-time points where these physical constraints on the solution are flouted, just as there exist well-known solutions of the Maxwell and Schroedinger equations which also defy physical constraints -- and therefore are always discarded. Instances of unphysical solutions of the Maxwell or Schroedinger or Einstein field-theoretic equations can usually be traced to subtly unphysical initial inputs or assumptions.
Comments: 7 Pages.
Download: PDF
[v1] 2014-12-06 16:13:48
Unique-IP document downloads: 86 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.