Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework

We propose a novel interpretation of photon reflection grounded in Feynman’s path integral formulation, extended by introducing a multi-fabric geometry of spacetime. In conventional quantum electrodynamics, the probability of a photon reaching a detector is determined by summing the amplitudes of all possible paths it can traverse within a single spacetime geometry. Here, we generalize this approach by suggesting that a photon's quantum state is not confined to a single classical spacetime but instead projects simultaneously across a distribution of geometric fabrics. Each fabric represents a subtle variation in curvature, phase, or metric properties, effectively forming a continuum of quasi-parallel geometries that contribute coherently to the observed outcome. This multi-fabric perspective provides a geometric foundation for understanding reflection phenomena that extends beyond classical optics and conventional quantum theory. The classical path of least time, typically derived from Fermat’s principle, emerges naturally from the constructive interference of quantum amplitudes summed not only over paths but also over geometrically distinct fabrics of spacetime. Our framework offers a potential link between quantum coherence, holographic encoding of information, and emergent spacetime structures, bridging insights from optics, quantum field theory, and quantum gravity. We further discuss its implications for phenomena such as thin film interference, entanglement, and light behavior near strong gravitational fields. This approach invites experimental exploration using metamaterials and astrophysical observations, opening a path toward understanding how geometry and quantum processes intertwine at fundamental levels.

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Publication Details

Journal
International Journal of Applied Mathematics and Theoretical Physics
Published
2025-08-11
DOI
https://doi.org/10.11648/j.ijamtp.20251103.12
Primary Topic
Quantum Electrodynamics and Casimir Effect
Type
article
Field-Weighted Citation Impact
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article

Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework

Bhushan Poojary
International Journal of Applied Mathematics and Theoretical Physics
Quantum Electrodynamics and Casimir Effect
article

Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework

Bhushan Poojary
article en

Abstract

We propose a novel interpretation of photon reflection grounded in Feynman’s path integral formulation, extended by introducing a multi-fabric geometry of spacetime. In conventional quantum electrodynamics, the probability of a photon reaching a detector is determined by summing the amplitudes of all possible paths it can traverse within a single spacetime geometry. Here, we generalize this approach by suggesting that a photon's quantum state is not confined to a single classical spacetime but instead projects simultaneously across a distribution of geometric fabrics. Each fabric represents a subtle variation in curvature, phase, or metric properties, effectively forming a continuum of quasi-parallel geometries that contribute coherently to the observed outcome. This multi-fabric perspective provides a geometric foundation for understanding reflection phenomena that extends beyond classical optics and conventional quantum theory. The classical path of least time, typically derived from Fermat’s principle, emerges naturally from the constructive interference of quantum amplitudes summed not only over paths but also over geometrically distinct fabrics of spacetime. Our framework offers a potential link between quantum coherence, holographic encoding of information, and emergent spacetime structures, bridging insights from optics, quantum field theory, and quantum gravity. We further discuss its implications for phenomena such as thin film interference, entanglement, and light behavior near strong gravitational fields. This approach invites experimental exploration using metamaterials and astrophysical observations, opening a path toward understanding how geometry and quantum processes intertwine at fundamental levels.

International Journal of Applied Mathematics and Theoretical PhysicsVol. 11(3)
NIMS University (IN)
Openalex Percentile: Top 77%
Quantum Electrodynamics and Casimir Effect
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