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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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A Discrete Grid-Based Resolution to the N-Body Singularity Problem via Systemic Mass Normalization and Saturation Dynamics

Authors: Dagar, Nitin;

A Discrete Grid-Based Resolution to the N-Body Singularity Problem via Systemic Mass Normalization and Saturation Dynamics

Abstract

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.

Keywords

Grid Friction, N-Body Simulation, 3-Body Problem Resolution, Normalization Factor (\epsilon), Classical Mechanics, Mass Intensity, Absolute Void, Anadihilo Dynamics, Axiom of Normalization, Dagar (Dg) Scale, Non-Chaotic Systems, Computational Physics, Singularity Resolution, Deterministic Dynamics, Smu, Global Systemic Overwrite (GSO), Systemic Boundary (n), Informational Substrate, Grid Constant (i)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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