Causal-Symmetric Informational Gravitation as an Effective Stress-Energy Extension of General Relativity

Elias Rubenstein

Causal-Symmetric Informational Gravitation as an Effective Stress-Energy Extension of General Relativity

Author(s)	Dr. Elias Rubenstein
Country	United States
Abstract	A covariant effective model is formulated in which general relativity is extended through an informational contribution to the source sector while the geometric side of the Einstein equation remains unchanged. The additional source is described by an informational stress-energy tensor obtained from metric variation of an effective action. The construction is motivated by causal boundary alignment, defined as the effective degree of statistical constraint between preparation-side and outcome-side boundary structure. At the microscopic level, such alignment may be represented by a bounded operational quantum-information parameter. At the spacetime level, it is represented by an effective macroscopic closure variable rather than by direct identification with the microscopic parameter. The informational sector is constructed from coarse-grained informational fields, a positive-definite internal metric, a context-dependent reference state, and a coarse-grained relative-entropy-type scalar. Since relative entropy is dimensionless, its contribution to gravitation requires an energy-density scale and a dimensionless coupling. A minimal effective action is introduced with canonical kinetic terms and an informational potential consisting of a leading relative-entropy contribution plus stabilizing self-interaction terms. Variation with respect to the metric yields an informational stress-energy tensor that supplements the ordinary matter tensor in the Einstein equation. The total stress-energy tensor is covariantly conserved whenever the total action is diffeomorphism invariant. The standard general-relativistic limit is recovered when informational coupling or informational deviation is negligible, or when the informational sector becomes a constant vacuum-like contribution. In homogeneous cosmology, the informational sector has the formal structure of a canonical scalar-type component. In the potential-dominated regime, it behaves as an effective vacuum-like source. The canonical kinetic sector satisfies the null energy condition for a positive-definite internal metric. The resulting equations define an effective source-sector model in which coarse-grained informational deviation contributes to gravitational curvature through a variational stress-energy tensor.
Keywords	informational gravitation, causal symmetry, effective stress-energy, relative entropy, general relativity, cosmology, spacetime, boundary alignment, quantum information
Field	Mathematics > Maths + Physics
Published In	Volume 17, Issue 2, April-June 2026
Published On	2026-06-11

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Causal-Symmetric Informational Gravitation as an Effective Stress-Energy Extension of General Relativity

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