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Suresh K Maran

Publications and source records attributed to Suresh K Maran.

9 recordsLinked to original sources
arXiv2026

Quantum General Relativistic Framework 5: The Physical Foundations of Unconsciousness and Consciousness Matter with Retrocausality

This is the fifth update for the quantum gravity framework project. The research work has been split into two parts: Part A deals with unconscious matter, while Part B deals with conscious matter. Each has its own abstract. I introduce retrocausality in both. In Part A, based on the first five papers, I finalize a three-set of fundamental postulates for understanding time, quantum reduction, and consciousness from quantum general relativistic concepts. Then I introduce a new reduction theory that includes retrocausality and spontaneous reduction, and further concepts to include conscious and unconscious influence. Then I discuss three postulates in the quantum general relativistic framework. Toward the end, I discuss sample calculations and experimental verifications. I summarize various calculations done in the previous versions of the Quantum General Relativistic Framework. In Part B of this paper, I propose a set of ideas to explain the phenomena of life and consciousness in the universe and their relation to the interpretation of quantum mechanics using my past papers and other important work. Consciousness is described as a result of specific dynamical configurations of matter and fields aided by fundamental properties of nature proposed in this paper. First, I review the various theories of consciousness in current literature and come up with various hypotheses, definitions, and propositions to build a physical theory of consciousness. I propose three sets of postulates on the physical foundations of consciousness from a quantum general relativistic background, using the proposals in part A, to understand time and reduction. Various new concepts are introduced. The concept of classicum is introduced as an analog of quantum, and its relation to conscious being is discussed. Mathematical models for various ideas are discussed. I discuss theory and experiments to verify these.

physics.gen-ph↗
arXiv2006

A Systematic Derivation of the Riemannian Barrett-Crane Intertwiner

The Barrett-Crane intertwiner for the Riemannian general relativity is systematically derived by solving the quantum Barrett-Crane constraints corresponding to a tetrahedron (except for the non-degeneracy condition). It was shown by Reisenberger that the Barrett-Crane intertwiner is the unique solution. The systematic derivation can be considered as an alternative proof of the uniqueness. The new element in the derivation is the rigorous imposition of the cross-simplicity constraint.

gr-qc↗
arXiv2005

Spin Foams for the SO(4,C) BF theory and the SO(4,C) General Relativity

The Spin Foam Model for the SO(4,C) BF theory is discussed. The Barrett-Crane intertwiner for the SO(4,C) general relativity is systematically derived. The SO(4,C) Barret-Crane interwiner is unique. The propagators of the SO(4,C) Barrett-Crane model are discussed. The asymptotic limit of the SO(4,C) general relativity is discussed. The asymptotic limit is controlled by the SO(4,C) Regge calculus.

gr-qc↗
arXiv2005

A Note on the Asymptotic Limit of the Four Simplex

Recently the asymptotic limit of the Barrett-Crane models has been studied by Barrett and Steele. Here by a direct study, I show that we can extract the bivectors which satisfy the essential Barrett-Crane constraints from the asymptotic limit. Because of this the Schlaffi identity is implied by the asymptotic limit, rather than to be imposed as a constraint.

gr-qc↗
arXiv2005

Reality Conditions for Spin Foams

An idea of reality conditions in the context of spin foams (Barrett-Crane models) is developed. The square of areas are the most elementary observables in the case of spin foams. This observation implies that simplest reality conditions in the context of the Barrett-Crane models is that the all possible scalar products of the bivectors associated to the triangles of a four simplex be real. The continuum generalization of this is the area metric reality constraint: the area metric is real iff a non-degenerate metric is real or imaginary. Classical real general relativity (all signatures) can be extracted from complex general relativity by imposing the area metric reality constraint. The Plebanski theory can be modified by adding a Lagrange multiplier to impose the area metric reality condition to derive classical real general relativity. I discuss the SO(4,C) BF model and SO(4,C) Barrett-Crane model. It appears that the spin foam models in 4D for all the signatures are the projections of the SO(4,C) spin foam model using the reality constraints on the bivectors.

gr-qc↗
arXiv2005

The Area Metric Reality Constraint in Classical General Relativity

A classical foundation for an idea of reality condition in the context of spin foams (Barrett-Crane models) is developed. I extract classical real general relativity (all signatures) from complex general relativity by imposing the area metric reality constraint; the area metric is real iff a non-degenerate metric is real or imaginary. First I review the Plebanski theory of complex general relativity starting from a complex vectorial action. Then I modify the theory by adding a Lagrange multiplier to impose the area metric reality condition and derive classical real general relativity. I investigate two types of action: Complex and Real. All the non-trivial solutions of the field equations of the theory with the complex action correspond to real general relativity. Half the non-trivial solutions of the field equations of the theory with the real action correspond to real general relativity. Discretization of the area metric reality constraint in the context of Barrett-Crane theory is discussed. In the context of Barrett-Crane theory the area metric reality condition is equivalent to the condition that the scalar products of the bivectors associated to the triangles of a four simplex be real. The Plebanski formalism for the degenerate case and Palatini formalism are also briefly discussed by including the area metric reality condition.

gr-qc↗
arXiv2005

Spin Foams for the Real, Complex Orthogonal Groups in 4D and the bivector scalar product reality constraint

The Barrett-Crane model for the SO(4,C) general relativity is systematically derived. This procedure makes rigorous the calculation of the Barrett-Crane intertwiners from the Barrett-Crane constraints of both real and complex Riemannian general relativity. The reality of the scalar products of the complex bivectors associated with the triangles of a flat four simplex is equivalent to the reality of the associated flat geometry. Spin foam models in 4D for the real and complex orthogonal gauge groups are discussed in a unified manner from the point of view of the bivector scalar product reality constraints. Many relevant issues are discussed and generalizations of the ideas are introduced. The asymptotic limit of the SO(4,C) general relativity is discussed. The asymptotic limit is controlled by the SO(4,C) Regge calculus which unifies the Regge calculus theories for all the real general relativity cases. The spin network functionals for the 3+1 formulation of the spin foams are discussed. The field theory over group formulation for the Barrett-Crane models is discussed briefly. I introduce the idea of a mixed Lorentzian Barrett-Crane model which mixes the intertwiners for the Lorentzian Barrett-Crane models. A mixed propagator is calculated. I also introduce a multi-signature spin foam model for real general relativity which is made by splicing together the four simplex amplitudes for the various signatures. Further research that is to be done is listed and discussed.

gr-qc↗