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

Bhushan Poojary

doi:doi:10.11648/j.ijamtp.20251103.12

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

Bhushan Poojary^*

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 11, Issue 3)

Received: 11 July 2025 Accepted: 25 July 2025 Published: 11 August 2025

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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.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 11, Issue 3)
DOI	10.11648/j.ijamtp.20251103.12
Page(s)	44-48
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

Feynman Path Integral, Photon Reflection, Holographic Principle, Emergent Spacetime, Quantum Geometry, Multiverse Interference

References

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[4]	Susskind, L. The world as a hologram. Journal of Mathematical Physics, 1995, 36(11), 6377-6396. https://doi.org/10.1063/1.531249
[5]	Dolce, D. Introduction to the Quantum Theory of Elementary Cycles. Universe, 2023, 9(4), 147. https://doi.org/10.3390/universe9040147
[6]	Gerold, E., Antrekowitsch, H. A Sustainable Approach for the Recovery of Manganese from Spent Lithium-Ion Batteries via Photocatalytic Oxidation. International Journal of Materials Science and Applications, 2022, 11(3), 66-75. https://doi.org/10.11648/j.ijmsa.20221103.12
[7]	Bao, N., & Carney, D. Towards quantum gravity in the lab: tabletop experiments. Physical Review Letters, 2022, 128(18), 181301. https://doi.org/10.1103/PhysRevLett.128.181301
[8]	Westphal, T., et al. Gravitational decoherence near massive bodies. Nature Physics, 2023, 19(1), 68-72. https://doi.org/10.1038/s41567-022-01776-9
[9]	DeWitt-Morette, C. Functional Integration: Action and Symmetries. Cambridge University Press, 2021. ISBN: 9781108477893. https://doi.org/10.1017/9781108775364
[10]	Maldacena, J. Entanglement and the Geometry of Spacetime. Journal of High Energy Physics, 2023, 2023(2), 102. https://doi.org/10.1007/JHEP02(2023)102
[11]	Penrose, R. On the Gravitization of Quantum Mechanics. Foundations of Physics, 2023, 53(3), 65. https://doi.org/10.1007/s10701-023-00655-8
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[14]	Simpson, F., & Visser, M. Black hole metamaterials: analog gravity and holography. Classical and Quantum Gravity, 2023, 40(7), 075012. https://doi.org/10.1088/1361-6382/acbc3f
[15]	Verlinde, E. Emergent Gravity and the Dark Universe. SciPost Physics Lecture Notes, 2023, 2023(67). https://doi.org/10.21468/SciPostPhysLectNotes.67

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Poojary, B. (2025). Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework. International Journal of Applied Mathematics and Theoretical Physics, 11(3), 44-48. https://doi.org/10.11648/j.ijamtp.20251103.12

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Poojary, B. Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework. Int. J. Appl. Math. Theor. Phys. 2025, 11(3), 44-48. doi: 10.11648/j.ijamtp.20251103.12

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AMA Style

Poojary B. Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework. Int J Appl Math Theor Phys. 2025;11(3):44-48. doi: 10.11648/j.ijamtp.20251103.12

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@article{10.11648/j.ijamtp.20251103.12,
  author = {Bhushan Poojary},
  title = {Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework
},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {11},
  number = {3},
  pages = {44-48},
  doi = {10.11648/j.ijamtp.20251103.12},
  url = {https://doi.org/10.11648/j.ijamtp.20251103.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20251103.12},
  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.},
 year = {2025}
}

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TY  - JOUR
T1  - Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework

AU  - Bhushan Poojary
Y1  - 2025/08/11
PY  - 2025
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DO  - 10.11648/j.ijamtp.20251103.12
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 44
EP  - 48
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20251103.12
AB  - 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.
VL  - 11
IS  - 3
ER  -

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Author Information

Bhushan Poojary

BSC Physics, NIMS University, Jaipur, India

Contact Email

http://orcid.org/0000-0002-5122-0236

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Poojary, B. (2025). Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework. International Journal of Applied Mathematics and Theoretical Physics, 11(3), 44-48. https://doi.org/10.11648/j.ijamtp.20251103.12

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ACS Style

Poojary, B. Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework. Int. J. Appl. Math. Theor. Phys. 2025, 11(3), 44-48. doi: 10.11648/j.ijamtp.20251103.12

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AMA Style

Poojary B. Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework. Int J Appl Math Theor Phys. 2025;11(3):44-48. doi: 10.11648/j.ijamtp.20251103.12

Copy | Download

@article{10.11648/j.ijamtp.20251103.12,
  author = {Bhushan Poojary},
  title = {Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework
},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {11},
  number = {3},
  pages = {44-48},
  doi = {10.11648/j.ijamtp.20251103.12},
  url = {https://doi.org/10.11648/j.ijamtp.20251103.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20251103.12},
  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.},
 year = {2025}
}

Copy | Download

TY  - JOUR
T1  - Quantum Reflection Across Multiple Fabrics of Spacetime: A Geometric Extension of the Path Integral Framework

AU  - Bhushan Poojary
Y1  - 2025/08/11
PY  - 2025
N1  - https://doi.org/10.11648/j.ijamtp.20251103.12
DO  - 10.11648/j.ijamtp.20251103.12
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 44
EP  - 48
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20251103.12
AB  - 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.
VL  - 11
IS  - 3
ER  -

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