Stuckey, William Mark and Silberstein, Michael (2013) An Adynamical, Graphical Approach to Quantum Gravity and Unification. In: UNSPECIFIED.
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Abstract
We propose an adynamical, background independent approach to quantum gravity and unification whereby the fundamental elements of Nature are graphical units of space, time and sources (in parlance of quantum field theory). The transition amplitude for these elements of “spacetimesource” is computed using a path integral with discrete Gaussian graphical action. The unit of action for a spacetimesource element is constructed from a
difference matrix K and source vector J on the graph, as in lattice gauge theory. K is constructed from graphical relations so that it contains a nontrivial null space (whence gauge invariance), and J is then restricted to the column space of K which ensures it is distributed in a divergencefree fashion over the spacetime defined by the element. This rule for the relational construct of K and J is our proposed fundamental axiom of physics
and results in a selfconsistency relationship between sources, the spacetime metric, and the stressenergymomentum content of the element, rather than a dynamical law for timeevolved entities. In its most general form, the set of fundamental elements employed
by lattice gauge theory contains scalar fields on nodes and links, and vector fields on nodes. To complete the fundamental set (unification in this view), we propose the
addition of scalar fields on plaquettes (basis for graviton) and vector fields on links. We use this approach via modified Regge calculus to correct proper distance in the EinsteindeSitter cosmology model yielding a fit of the Union2 Compilation supernova data that matches ɅCDM without having to invoke accelerating expansion or dark energy.
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Item Type:  Conference or Workshop Item (UNSPECIFIED)  

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Keywords:  quantum gravity, unification, lattice gauge theory, Regge calculus, path integral, graphs  
Subjects:  Specific Sciences > Physics > Cosmology Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Relativity Theory 

Depositing User:  Michael Silberstein  
Date Deposited:  23 Aug 2013 13:29  
Last Modified:  23 Aug 2013 13:29  
Item ID:  9942  
Subjects:  Specific Sciences > Physics > Cosmology Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Relativity Theory 

Date:  22 August 2013  
URI:  https://philsciarchive.pitt.edu/id/eprint/9942 
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An Adynamical, Graphical Approach to Quantum Gravity and its Foundational Implications. (deposited 07 Jun 2013 12:27)
 An Adynamical, Graphical Approach to Quantum Gravity and Unification. (deposited 23 Aug 2013 13:29) [Currently Displayed]
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