Published November 10, 2025 | Version v1
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Analytical Theory(4): A Comprehensive Theoretical Framework for Hidden Dimensions and Quantum Spacetime Structure Using Trans-Dimensional Mathematics

Description

"A Comprehensive Theoretical Framework for Hidden Dimensions and Quantum Spacetime Structure Using Trans-Dimensional Mathematics"

This groundbreaking research presents a unified mathematical framework that bridges fundamental physics with advanced trans-dimensional mathematics. The paper introduces a novel six-dimensional spacetime model (three positive and three negative dimensions) using Sphere Numbers and the Number Sphere Field formalism. Through rigorous application of the Dimensional Product Equation (DPE) and spherical calculus operators, we provide a complete geometric-algebraic description of fundamental particles, photon-time entanglement, and quantum spacetime structure.

Key innovations include:

  • First unified formulation of Sphere Numbers with quantum spacetime theory

  • Complete mathematical framework for hidden dimensions

  • New operator calculus for spherical geometry

  • Derivation of physical laws from trans-dimensional principles

  • Novel predictions for particle physics and quantum gravity

This work establishes a new paradigm for understanding the fundamental structure of reality, offering powerful mathematical tools for both theoretical exploration and experimental verification in fundamental physics.

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Dates

Created
2025-10-11

References

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  • [3] Alaei Jordehi, M. R. (2024). Sphere Numbers, Dimensional Product Equation and Their Field: A Unified Algebraic-Geometric Framework with Connections to Prime Number Distribution and Physical Applications] DOI : https : //doi.org/10.5281/zenodo.17344921]
  • [4] Alaei Jordehi, M. R. (2024). Discrete Mathematics in the Framework of Modern Mathematics: From Sphere Numbers to Quantum Space-Time Algebra] DOI : https : //doi.org/10.5281/zenodo.17516946]
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