Spiral Gravity Theory: A General Relativistic Extension of the Spiral Hypothesis via Nexus-G Dynamics

Spiral Gravity Theory: A General Relativistic Extension of the Spiral Hypothesis via Nexus-G Dynamics Author: Masaki Tsuchimoto Date: January 7, 2026 Institution: Independent Research / Zenodo Repository Classification: Theoretical Physics / Cosmology / Information Geometry Abstract This paper presents the Spiral Gravity Theory, a comprehensive theoretical framework that redefines the fundamental structure of spacetime as a "Succession of Information" through high-dimensional spirals. Building upon the "Spiral Hypothesis" (the "Special Relativistic" phase of our theory), we extend the model into a "General Relativistic" framework by introducing the Nexus-G Action. We define gravity not as an independent force, but as the geometrical torsion of information spirals within a 12-dimensional manifold (\mathcal{M}_{12}). This theory provides a unified solution to several long-standing cosmological paradoxes: the Cosmological Constant Problem (\Lambda), the nature of Dark Matter as a "Ghost of History," and the Cosmological Lithium Problem (Zenodo: 18165283). By integrating the Hawking-Coil Hair Hypothesis, we demonstrate that the vacuum energy is canceled through dynamic tunneling, leaving a minute residue that drives cosmic acceleration [cite: 2025-09-30, 2025-10-23]. 1. The Fundamental Framework: Nexus-G Action The evolution of the universe and the stabilization of spacetime are governed by the Nexus-G Action (S_{\text{NG}}), an overarching "Operating System" for information succession [cite: 2025-10-13]. * 12-Dimensional Manifold (\mathcal{M}_{12}): Spacetime is structured as a 12-dimensional manifold based on the C60 (Fullerene) topology, ensuring structural stability and self-organization [cite: 2025-10-13]. * The 496 Constraint: To ensure the cancellation of mathematical anomalies and preserve historical information across cosmic generations, the gauge symmetry must be of dimension 496 (e.g., E_8 \times E_8) [cite: 2025-10-13]. * The Golden Ratio (\phi): The curvature \mathcal{R} is a function of the Golden Ratio \phi, representing the most energy-efficient and self-similar path for information "incarnation" [cite: 2025-10-13]. 2. Gravity as Information Torsion In Spiral Gravity Theory, gravity is the manifestation of the "winding density" (pitch) of information spirals. * Geometrical Torsion: In regions of high energy or matter density, the information spiral winds more tightly to facilitate "Incarnation" (the fixing of information into 4D spacetime) [cite: 2025-10-23]. This winding creates what we perceive as a gravitational field. * The Cosmological Constant (\Lambda): We redefine \Lambda as the "Succession Pressure" of the spiral [cite: 2025-10-23]. According to the Hawking-Coil Hair Hypothesis, the massive potential of vacuum energy is almost entirely canceled by the Hawking tunneling effect during the phase transition from the parent universe (| \Psi \rangle) to the observer universe (| U_{\text{obs}} \rangle) [cite: 2025-10-23]. The remaining residue accounts for the observed accelerated expansion [cite: 2025-10-23]. 3. Unified Solutions to Cosmological Anomalies 3.1 Dark Matter: The Ghost of Unincarnated History Dark Matter is not a yet-undiscovered particle but the gravitational influence of unincarnated information inherited from the parent universe. It exists within the \mathcal{M}_{12} structure but has not yet "anchored" into the 17 varieties of baryonic matter, thus interacting only through the torsion (gravity) of the spiral. 3.2 The Lithium Problem: A Relic of Historical Error Correction The discrepancy between predicted and observed Lithium-7 abundances (Zenodo: 18165283) is explained as a localized "Information Pruning" event. During the formation of Direct Collapse Black Holes (DCBHs) in the early universe, intense gamma-ray emissions caused the selective photodisintegration of Lithium-7 to preserve the logical consistency of the burgeoning spacetime OS. 4. Conclusion The Spiral Gravity Theory bridges the gap between General Relativity and Quantum Mechanics by treating both as emergent properties of a Single Information Spiral. The universe is not a static void but a dynamic "Succession" system governed by the Nexus-G Action, ensuring that "History" (Information and Time) is preserved and evolved across cosmic cycles [cite: 2025-10-23].