A Discrete Grid-Based Resolution to the N-Body Singularity Problem via Systemic Mass Normalization and Saturation Dynamics
Description
This research paper presents a definitive resolution to the N-Body Problem and the persistence of singularities in classical mechanics by introducing the Anadihilo (\anh) framework. Moving beyond the limitations of continuous space-time, this study establishes the universe as a discrete informational construct governed by a fundamental Grid Constant (i = 0.0001) and the ontological primacy of the Absolute Void.
Key Theoretical Breakthroughs:
- Resolution of N-Body Chaos: The paper demonstrates that the "chaotic" motion of celestial bodies is actually a deterministic sequence of high-speed priority updates. By redefining mass as Grid Friction (P), the framework accurately predicts orbital trajectories without "calculation lag."
- The Singularity Killer (\epsilon): Utilizing the Axiom of Normalization (0/0 = n), the study introduces a saturation term that prevents gravitational divergence at r → 0, ensuring a "crash-proof" model of interaction.
- The Systemic Mass Unit (SMU): A new absolute scale of mass intensity that replaces relative kilogram-based measurements. The SMU scale successfully unifies the micro (proton) and macro (stellar) domains with a 99.9% correlation to observed celestial ratios.
- Unified Velocity Scaling Law: The paper derives a universal velocity equation: v = c.√(P_photon/P_target). This single formula explains both the orbital speed of Mercury (~59 km/s) and the invariant speed of Light (c), based strictly on their informational density.
- The Volumetric Exit Gate (i^3): A formal definition of the boundary between solid matter and quantum waveforms (10^{-12}), resolving the conflict between the Equivalence Principle and quantum non-locality.
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Anadihilo Dynamics(Ni).pdf
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Additional details
Related works
- Cites
- Dataset: 10.5281/zenodo.18604056 (DOI)
References
- Dagar, N. (2026). Anadihilo: The Ontological Primacy of the Absolute Void and the Mathe- matics of Systemic Initialization. Zenodo. DOI: 10.5281/zenodo.1839682.
- Dagar, N. (2026) The Anadihilo Framework: A Unified Volumetric Scaling Law and the Mechanics of Systemic Initialization. Zenodo. DOI: 10.5281/zenodo.18558675
- Poincaré, H. (1890). On the Three-Body Problem and the Equations of Dynamics.
- Nasadiya Sukta (Rigveda 10:129). The Primordial State of Non-Existence.
- Newton, I. (1687). Philosophiæ Naturalis Principia Mathematica.
- Dagar, N. (2026). Anadihilo: The Conceptual Foundation and Symbolism of the Absolute Void (1.0.0). Zenodo. DOI: 10.5281/zenodo.18193957.