Unification of Subatomic Quantum Spin and Cosmological Dark Matter via the Septenary Geometry of the Trishul-Dhamru Matrix (TDM) Framework
Year: 2026
Type: preprint
Abstract: ### Description This research record contains the complete theoretical manuscript, supporting figures, and supplementary media (audio/video explanations) for the **Trishul-Dhamru Matrix (TDM) Framework**, a core sub-framework of the **K7 Theory (Universal Rule of Seven)** developed by Gautam Pal. The paper addresses fundamental incompatibilities between Quantum Mechanics (QM) and General Relativity (GR) by mapping cosmic and subatomic mechanics across a balanced 14-dimensional/planetary topological architecture. #### Key Highlights & Mathematical Derivations: * **The Damaru-Metric Energy Vortex:** Formulates the transition from absolute non-vibrational zero-frequency ($f = 0$, *A-Spandana*) to universal vibration (*Spandana*) driven by the superluminal Velocity of Mind ($V_m \to \infty$). * **Subatomic Quantum Spin as a Septenary Metric:** Derives intrinsic spin directly from topological transitions through the 7th-dimensional neck constriction: $$\text{Spin } (s) = \frac{m \cdot \zeta}{14} \quad (\text{where } \zeta = 7)$$ * **Cosmological Dark Matter Proof:** Explains dark matter as a scalar gravitational leak from higher-dimensional latent space ($D_5, D_6, D_7$) into 3D spatial dimensions, proving the cosmological mass ratio: $$\text{Ratio} \approx 5.5 \times \text{Visible Baryonic Matter}$$ * **Binary Solar Matrix & Chromatic Nullification:** Introduces wave mechanics showing darkness as the destructive phase cancellation of opposing chromatic wavefronts and establishes the cosmological duality between the Positive and Negative Sun. * **Dual-Motion Equilibrium & Transmutation:** Details the active equilibrium between centripetal ($I_{cp}$) and centrifugal ($I_{cf}$) force vectors in the electromagnetic vacuum, presenting the mathematical mechanism for controlled elemental transmutation (specifically Copper into Gold). * **Unified K7 Field Equation:** Establishes $\Psi_{K7} = 14k$, unifying macroscopic orbital resonance with microscopic subatomic torque. #### Files Included in this Deposit: 1. **Main Manuscript (PDF):** Full mathematical text with section proofs, tables, and references. 2. **Graphical Figures (PNG/JPG):** High-resolution topological diagrams of the Damaru-Metric Vortex, Trishul Polar Vectors, and Dark Matter Mass Density Distribution. 3. **Supplementary Audio/Video:** Conceptual walkthroughs and oral explanations of the core TDM equations and dynamic proofs. **Author:** Gautam Pal (Independent Researcher & Rishi-Scientist, Santipur, Nadia, West Bengal, India) **ORCID:** https://orcid.org/0009-0004-3456-9972 **System Reference Code:** GP-K7-IN FINITY-2026-SUPREME-001
Author: Pal, Gautam
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7170087278
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