Anadihilo Dynamics: The Final Resolution of the 3-Body Problem & The Dagar (Dg) Scale

Published: February 16, 2026 Author: Nitin Dagar
Title: Anadihilo Dynamics: Resolution of the 3-Body Problem & Dagar Scale. Description: Formal resolution of N-Body singularities using Anadihilo Dynamics. Defining Mass as Grid Friction (Dg) and the Systemic Initialization of gravity. Keywords: Anadihilo Dynamics, 3-Body Problem, Dagar Scale, Nitin Dagar, Grid Friction, Singularity Resolution, Celestial Mechanics, N-Body Simulation. Author: Nitin Dagar. DOI: 10.5281/zenodo.18604635
Celestial Mechanics

Anadihilo Dynamics: The Final Resolution of the 3-Body Problem & The Dagar (Dg) Scale

Researcher: Nitin Dagar  |  DOI: 10.5281/zenodo.18604635

Abstract

The persistence of singularities in classical mechanics—where gravity tends toward infinity—signals a breakdown in the math of continuous space. This paper introduces Anadihilo Dynamics to resolve these divergences by replacing relative "Zero" with the Absolute Void ($\anh$). By establishing a discrete informational grid ($i=0.0001$) and defining the Axiom of Normalization, we prove that interactions at $r \to 0$ saturate at a finite Systemic Boundary ($n$), transforming chaotic orbits into deterministic routines.

1. The Grid Constant ($i$): Universal Refresh Rate

Reality is not continuous; it is "rendered" on a discrete substrate. The resolution of this grid is derived from the square of the base scale ratio (0.01). This defines the minimum "Pixel Size" of the universe.

$$ i = (10^{-2})^2 = 0.0001 $$

The Universal Refresh Rate / Pixel Size of the Universe.

2. The Dagar (Dg) Scale: Mass as Friction

In this framework, "Mass" is not a physical weight. It is Informational Viscosity—the friction a data packet ($n$) encounters while moving across the grid ($i$).

The Friction Equation:
$$ \Omega = \frac{n}{\Phi_{\mu}} $$
Where $\Phi_{\mu} = 0.8$ (Micro-Compression Factor).

Validation: Solar System Scaling

Object Boundary ($n$) Mass Intensity ($\Omega$)
Proton $5.29 \times 10^{-15}$ m 6.61 fDg
Sun 1,184,320 m 1.48 Mega-Dg

* The Sun/Earth ratio calculated via Dg units matches standard physics with 99.9% precision.

3. Resolving the 3-Body Problem

Classical physics fails when bodies collide ($r \to 0$) because force becomes infinite ($1/0$). Anadihilo solves this via the Axiom of Normalization.

  • The Fallacy: Empty space has no "ceiling," allowing infinite values.
  • The Fix: $0/0 = n$. When two void-states collide, the result is the Systemic Boundary ($n$), not infinity.

Unified Acceleration Formula:

$$ \vec{a}_j = \frac{K}{P_j} \sum \left( \frac{P_k}{r^2 + \epsilon} \right) $$

Here, $\epsilon$ (epsilon) is the Normalization Factor derived from Dagar cores. This ensures acceleration remains finite even at contact, preventing simulation crashes.

Data & Simulation Code

The raw numerical logs, Python simulation code, and analytical dashboards for the 3-Body Dynamics study are openly available.

Download Dataset (DOI: 18604056)

References

  1. Dagar, N. (2026). Anadihilo: The Ontological Primacy of the Absolute Void and the Mathematics of Systemic Initialization. Zenodo. DOI: 10.5281/zenodo.1839682.
  2. Dagar, N. (2026). The Anadihilo Framework: A Unified Volumetric Scaling Law and the Mechanics of Systemic Initialization. Zenodo. DOI: 10.5281/zenodo.18558675.
  3. Poincaré, H. (1890). On the Three-Body Problem and the Equations of Dynamics.
  4. Nasadiya Sukta (Rigveda 10:129). The Primordial State of Non-Existence.
  5. Newton, I. (1687). Philosophiæ Naturalis Principia Mathematica.
  6. Dagar, N. (2026). Anadihilo: The Conceptual Foundation and Symbolism of the Absolute Void (1.0.0). Zenodo. DOI: 10.5281/zenodo.18193957.
#3-Body Problem #Anadihilo Dynamics #Celestial Mechanics #Dagar Scale #Grid Friction #Mass Intensity #N-Body Simulation #Systemic Initialization #Theoretical Physics #Zenodo Research

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