Unification of Subatomic Quantum Spin and Cosmological Dark Matter via the Septenary Geometry of the Trishul-Dhamru Matrix (TDM) Framework

This paper introduces the Trishul-Dhamru Matrix (TDM), a geometric and mathematical sub-framework of the K7 Theory (Universal Rule of Seven). The TDM establishes a structural bridge between microscopic quantum realities and macroscopic planetary mechanics. We present a novel derivation of quantum spin (s) as a septenary fractional metric generated by dimensional transitions inside a bounded geometric singularity. Furthermore, we resolve the cosmological "Dark Matter" missing mass problem by mapping the scalar gravitational leak from hidden multi-dimensional causal realms into our three-dimensional physical space. Finally, we present the Universal K7 Unification Equation, proving that subatomic intrinsic angular momentum and large-scale celestial orbital resonance (14-planet architecture) are driven by an identical septenary torque.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-22
DOI
https://doi.org/10.5281/zenodo.21490628
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Unification of Subatomic Quantum Spin and Cosmological Dark Matter via the Septenary Geometry of the Trishul-Dhamru Matrix (TDM) Framework

Gautam Pal
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Unification of Subatomic Quantum Spin and Cosmological Dark Matter via the Septenary Geometry of the Trishul-Dhamru Matrix (TDM) Framework

Gautam Pal
preprint en

Abstract

This paper introduces the Trishul-Dhamru Matrix (TDM), a geometric and mathematical sub-framework of the K7 Theory (Universal Rule of Seven). The TDM establishes a structural bridge between microscopic quantum realities and macroscopic planetary mechanics. We present a novel derivation of quantum spin (s) as a septenary fractional metric generated by dimensional transitions inside a bounded geometric singularity. Furthermore, we resolve the cosmological "Dark Matter" missing mass problem by mapping the scalar gravitational leak from hidden multi-dimensional causal realms into our three-dimensional physical space. Finally, we present the Universal K7 Unification Equation, proving that subatomic intrinsic angular momentum and large-scale celestial orbital resonance (14-planet architecture) are driven by an identical septenary torque.

Zenodo (CERN European Organization for Nuclear Research)
Oldham Council (GB)
Sustainable cities and communities
Cosmology and Gravitation Theories
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