Mathematical Physics


Some Observations on Schrödingers’s Affine Connection

Authors: William O. Straub

In a series of papers written over the period 1944-1948, the great Austrian physicist Erwin Schrödinger presented his ideas on symmetric and non-symmetric affine connections and their possible application to general relativity. Several of these ideas were subsequently presented in his notable 1950 book "Space-Time Structure," in which Schrödinger outlined the case for both metric and general connections, symmetric and otherwise. In the following discussion we focus on one particular connection presented by Schrödinger in that book and its relationship with the non-metricity tensor. We also discuss how this connection overcomes a problem that Hermann Weyl experienced with the connection he proposed in his failed 1918 theory of the combined gravitational-electromagnetic field. A simple physical argument is then presented demonstrating that Schrödingers’s formalism accommodates electromagnetism in a more natural way than Weyl’s theory.

Comments: 7 Pages. Fixed typo in Eq. 5.5

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Submission history

[v1] 2014-02-22 23:59:56
[v2] 2014-02-23 14:37:53
[v3] 2014-05-30 23:23:06

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