Author: Prasenjit Ghosh
Affiliation: Independent Researcher, Kolkata, India
Date: October 2025
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This study presents a mathematical formulation of World Peace as a measurable condition of universal coherence — a state where all physical, informational, cognitive, and ethical systems operate in stable dynamic equilibrium.
The model extends the Brahma — Universal Resonance Framework and Vibrational Impulse Theory (VIT) into a planetary-scale conservation law of harmony and equilibrium.
Universal Coherence is governed by the conservation relation:
Where:
- ρ → system energy density
- v → resonance velocity
- ΔCoG → deviation of center of gravity (balance factor)
When the time derivative of this coherent term is zero, the system achieves stable equilibrium — the mathematical definition of Peace through Coherence.
The invariant constant that emerges:
represents the scalar of total harmony across all domains of existence.
| Layer | Description | Symbolic Representation |
|---|---|---|
| Physical (MIPA) | Micro-Impulse Resonance maintaining mechanical equilibrium | Δτ ≈ 0.29 ns |
| Informational (ReCOS + RKC) | Resonant computational feedback ensuring information symmetry | ρv²ΔCoG = const |
| Cognitive / Ethical | Coherent empathy and feedback stability | Moral Resonance |
| Global (Brahma Layer) | Sum of all coherent layers defining global equilibrium | Σ (ρv²ΔCoG) = Kₚₑₐcₑ |
Peace is therefore not static, but a sustained phase-aligned resonance across all coherent layers.
As t → ∞,
This implies:
- Entropy rate → 0
- Information symmetry → maximum
- System coherence → total
Hence, World Peace emerges as the steady-state condition of total coherent conservation.
- Peace = Coherence, not stasis.
- Conflict = Entropy, measurable as deviation from coherent balance.
- Restoration = Re-synchronization of ρ, v, ΔCoG vectors across layers.
- The framework mathematically unifies ethics, cognition, and physics as expressions of one resonant constant.
| Related Work | Description | File |
|---|---|---|
| Brahma — Universal Resonance Framework | Defines the resonant-impulse constant (Δτ ≈ 0.29 ns) linking physical and informational domains. | Brahma_Universal_Resonance_Framework_Journal.pdf |
| Vibrational Impulse Theory (VIT) | Describes the mechanics of impulse-resonance and energy-information coupling. | Vibrational_Impulse_Theory_Journal.pdf |
| Theoretical World Peace Model | Extends the resonance principle to macro equilibrium and ethical coherence. | Theoretical_World_Peace_Model.pdf |
Ghosh, P. (2025). Theoretical World Peace — A Mathematical Model of Universal Coherence.
GHOSH-ROBOTICS Repository, Zenodo DOI: 10.5281/zenodo.17454740
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© 2025 Prasenjit Ghosh. All rights reserved.
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The Theoretical World Peace Model redefines peace not as a moral abstraction but as a quantifiable state of systemic equilibrium, grounded in the same resonance law that governs energy and motion:
Peace = balance sustained by resonance, measurable in principle, universal in reach.