Quantum Gravity and String Theory


Kaluza-Cartan Theory And A New Cylinder Condition

Authors: Robert Watson

Kaluza’s 1921 theory of gravity and electromagnetism using a fifth wrapped-up spatial dimension is inspiration for many modern attempts to develop new physical theories. For a number of reasons the theory is incomplete and generally considered untenable. An alternative approach is presented that includes torsion, unifying gravity and electromagnetism in a Kaluza-Cartan theory. Emphasis is placed on admitting important electromagnetic fields not present in Kaluza’s original theory, and on the Lorentz force law. This is investigated via a non-Maxwellian kinetic def- inition of charge related to Maxwellian charge and 5D momentum. Two connections and a new cylinder condition are used. General covariance and global properties are investigated via a reduced non-maximal atlas. Conserved super-energy is used in place of the energy conditions for 5D causality. Explanatory relationships between matter, charge and spin are present.

Comments: 40 Pages.

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Submission history

[v1] 2012-03-17 09:26:48 (removed)
[v2] 2012-08-12 01:46:34 (removed)
[v3] 2012-08-15 22:10:50 (removed)
[v4] 2012-10-30 09:05:47 (removed)
[v6] 2013-01-04 22:58:23
[v7] 2013-01-06 07:43:31
[v8] 2013-03-24 16:48:31
[v9] 2013-07-03 03:56:52
[vA] 2013-07-22 17:54:36
[vB] 2013-08-18 11:40:21
[vC] 2013-09-08 15:42:14
[vD] 2013-12-20 08:56:00
[vE] 2014-01-15 07:38:45
[vF] 2014-03-02 10:58:53
[vG] 2014-05-05 04:08:38
[vH] 2014-05-21 15:01:14
[vI] 2014-06-25 07:57:53

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