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Angular Momentum And Geometric Algebra


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#18 Dubbelosix

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Posted 11 March 2019 - 12:43 PM

Extensive updates.

 

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#19 Dubbelosix

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Posted 11 March 2019 - 08:10 PM

I was searching for dialogue which doesn't rely on displaying math, but is able to describe this situation of torsion in general relativity in the most concise way I could, as it went like the following from the previous article, if you don't understand something, or if you have any questions, I will take time out right now for next few days to reply.

 

Bivector gravity will lead to a better understanding of the treatment of general relativity. Since no priori is given makes the issue of a vanishing torsion mathematically ad hoc, which really leaves us two approaches;

 

1. It can be understood as a corrective term describing a degree of symmetry that must arise (since the rotation space) in the bivector gravity assures it is part of the Poincaire group of spacetime symmetries (as expected when spinning masses are implicated). In this instance, both the symmetric and antisymmetric terms survive.

 

2. That there is a gauge fixing of torsion to zero, so in this approach we end up with standard general relativity without the torsion, whereas fixing the curvature to zero, implies the remaining telaparallel transport.

 

An additional consequence of 1. is from what I found independently, that bivector gravity by definition implies both the symmetric and antisymmetric parts (as a priori) from geometric algebra - which means this could be used to make progress in how we treat general relativity.

 

I use now a quotation from a paper (provided below), ''There is no doubt that quantum mechanics has seized hold of a beautiful element of truth and that it will be a touchstone for a future theoretical basis in that it must be deducible as a limiting case from that basis, just as electrostatics is deducible from the Maxwell equations of the electromagnetic field or as thermodynamics is deducible from statistical mechanics. I do not believe that quantum mechanics will be the starting point in the search for this basis, just as one cannot arrive at the foundations of mechanics from thermodynamics or statistical mechanics.”

 

- Einstein (1936)

 

The definition of a bivector gravity (must imply) a symmetric and antisymmetric geometric product, without any ad hoc statements about what should and should not remain. The torsion is a corrective term, whether for quantum systems or perhaps for systems with significant gravity.

 
arxiv.org

Edited by Dubbelosix, 11 March 2019 - 08:11 PM.


#20 Dubbelosix

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Posted 13 March 2019 - 05:34 AM

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#21 Dubbelosix

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Posted 17 March 2019 - 09:06 PM

New blog post, expanding on creative idea's

 

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#22 Dubbelosix

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Posted Yesterday, 11:10 AM

Compiled about five blog posts into one, this will be the first paper I write on the topic. Any more investigations, will be kept in blog posts until I write a second paper up. This blog post contains all the relevant information I have learned, from other work published, including mostly independent research.

 

https://bivector.quo...ivector-Gravity