Relativity and Cosmology


Projective Geometry Interpretations of the Holographic Principle and Ads / CFT Correspondence, “SPOOKY Action at a DISTANCE”, Standard Particle Model, Standard Cosmological Model, and Fractal Dimension Basis for Information, Dark Matter, and Dark Energy

Authors: Thomas Preusser

The holographic principle concept of physics theory traces its origins to the study of black holes. In the 1970’s Hawking and Bekenstein showed that black holes carry entropy, i.e. information, that is proportional not to black hole volume (i.e. 3-Dimensions), but to the area of the black hole horizon (i.e. 2-Dimensions). Subsequently Hooft and Susskind developed the holographic principle which pairs quantum gravity (3D) with quantum field theory (2D), making the black hole horizon “contoured 2D” and enabling entanglement information across the black hole horizon. More recently (1997 arXiv:9711200) Maldacena’s Anti-de Sitter/Conformal Field Theory correspondence, provided the holographic principle with a more explicit geometric (bulk, gravity, 3D, AdS) boundary correspondence with quantum field theory (2D, CFT), where the 2D is actually related to a dual boundary and the varying entanglement of two subsystems, A and its complement B. The most interesting part of all the foregoing is that the holographic principle, which pertains to geometry and information, brings string theory adjacent to loop quantum gravity (LQG), which also pertains to geometry and information. More recently in LQG (1994 arXiv:9411005) Rovelli and Smolin related quantization to area / volume (geometry), and graphs (information). If “conservation” of information is a law, geometry is a more malleable topological property, (i.e. networked inter-connectedness is unaffected by changes in geometry). There are two major issues that need to be addressed for further holographic principle progress. Issue 1:The AdS, or bulk, gravity, 3D side, needs to be more topologically explicit and generalized. Gravity in 3D is a purely topological theory. In a topological theory geometric properties and spatial relations, i.e. networked inter-connectedness, are unaffected by the continuous change of shape or size of an object. Topological consistency is a very important aspect for systems of information, being akin to adiabatic consistency for systems of energy, thus providing stability. Issue 2:Holographic principle entanglement needs to be put in a larger context that generalizes entanglement , and development of complexity. This includes CPT symmetry breaking, Lorentz covariant bound states (spooky action at a distance), neutrino oscillation involving electron, muon, and tau neutrinos, and gluon color charge oscillation. Holography involves projection of an image from an object as perceived by an observer. This paper expounds on projection of an image from an object as perceived by an observer. In particular this paper looks at Pascal’s Projection Ellipse, and in a larger sense General Projective Relativit y (GPR), as models for projection of an image from an object as perceived by an observer, and in so doing addresses the prior holographic principle issues.

Comments: 20 Pages.

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Submission history

[v1] 2017-10-02 17:11:39

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