Complete-Timeline Configuration Space

This paper develops a candidate framework in which spacetime is emergent and the fundamental domain is a configuration space of complete physical histories, termed complete-timeline configuration space. A complete timeline is defined as an equivalence class of globally specified field-and-geometry histories modulo gauge redundancies. A complex state functional over this space assigns amplitudes to complete histories, while a timeless constraint replaces evolution with respect to an external time parameter. The central result is the Bhaskar Complete-Timeline Equation, obtained as the Euler-Lagrange condition of a real, gauge-invariant, phase-covariant history-space functional under explicitly stated assumptions: quadraticity in the state functional, second-order locality in smooth history-space sectors, linearity, positivity of the nonlocal mismatch term, and dependence on histories only through quotient-space data. The resulting operator contains a local Laplace-Beltrami term, history-space curvature coupling, a consistency potential, and a nonlocal phase-twisted kernel. This derivation establishes the equation within the stated effective axioms; it does not claim a unique microscopic theory of quantum gravity. In semiclassical, fixed-background, relational-clock, and decoherent limits, the framework is required to reproduce known physics, while a finite-dimensional graph model supplies an exactly defined regulated realization. The paper identifies unresolved questions concerning the measure, positivity, diffeomorphism invariance, normalization, the Born rule, microscopic origin, and empirical distinguishability. It therefore presents a mathematically constrained research program rather than an experimentally established final theory.

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Publication Details

Journal
SCIREA Journal of Physics
Published
2026-08-25
DOI
https://doi.org/10.54647/physics140733
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
article
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article

Complete-Timeline Configuration Space

Jeet Santosh Bhaskar
SCIREA Journal of Physics
Noncommutative and Quantum Gravity Theories
article

Complete-Timeline Configuration Space

Jeet Santosh Bhaskar
article en

Abstract

This paper develops a candidate framework in which spacetime is emergent and the fundamental domain is a configuration space of complete physical histories, termed complete-timeline configuration space. A complete timeline is defined as an equivalence class of globally specified field-and-geometry histories modulo gauge redundancies. A complex state functional over this space assigns amplitudes to complete histories, while a timeless constraint replaces evolution with respect to an external time parameter. The central result is the Bhaskar Complete-Timeline Equation, obtained as the Euler-Lagrange condition of a real, gauge-invariant, phase-covariant history-space functional under explicitly stated assumptions: quadraticity in the state functional, second-order locality in smooth history-space sectors, linearity, positivity of the nonlocal mismatch term, and dependence on histories only through quotient-space data. The resulting operator contains a local Laplace-Beltrami term, history-space curvature coupling, a consistency potential, and a nonlocal phase-twisted kernel. This derivation establishes the equation within the stated effective axioms; it does not claim a unique microscopic theory of quantum gravity. In semiclassical, fixed-background, relational-clock, and decoherent limits, the framework is required to reproduce known physics, while a finite-dimensional graph model supplies an exactly defined regulated realization. The paper identifies unresolved questions concerning the measure, positivity, diffeomorphism invariance, normalization, the Born rule, microscopic origin, and empirical distinguishability. It therefore presents a mathematically constrained research program rather than an experimentally established final theory.

SCIREA Journal of Physics
Office of Naval Intelligence (US)
Openalex Percentile: Top 10%
Noncommutative and Quantum Gravity Theories
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Complete-Timeline Configuration Space — Jeet Santosh Bhaskar · SCIREA Journal of Physics (2026) | TGRS Research Map | TGRS