Phantom-Net: The Coherence Engine - Core Documentation Release 2025
Year: 2025
Type: article
Abstract: Phantom-Net: The Coherence Engine presents a mathematically closed and testable framework unifying electromagnetism, gravitation, and quantum coherence through an emergent substrate model. The theory defines space as an elastic continuum characterized by density ρ and stiffness K, where coherence dynamics are governed by the generalized wave equation ρ ∂²Ψ/∂t² = K ∇²Ψ − α|Ψ|²Ψ − β ∇²(|∇Ψ|²) − γ ⟨|Ψ|²⟩Ψ.From this foundation emerge the effective coherence speed (c_eff² = K/ρ) and refractive index (n² = ρ/K), linking gravitational curvature and optical delay as manifestations of substrate gradients. The framework extends naturally into quantum and cosmological domains, incorporating SU(2)/SU(3) structures, coherence conservation, and quantitatively testable predictions for lensing, time delay, and energy dispersion. This work establishes: (1) mathematical foundations connecting classical, quantum, and relativistic phenomena through substrate coherence; (2) numerical implementation protocols ensuring computational verifiability; (3) experimental validation criteria with quantitative falsification thresholds. The framework demonstrates empirical correspondence in gravitational lensing (±1%), quantum phase coherence (±2%), and energy conservation (ΔE/E₀ < 10⁻⁴), while maintaining philosophical coherence through its ethical-geometric principle. All implementations are cross-referenced with complete mathematical specifications and validation protocols.Version 2.0 consolidates the Foundational Cycle (Phases 1–12), integrating refined mathematical closure, empirical validation pathways, and a formal definition of the Coherence Engine Hierarchy. It is supplemented by previous Zenodo publications providing the core formula tables, technical appendices, and validation framework. Independent Research Project – Phantom-Net Collaboration (2025)No external funding received© Phantom-Net 2025 – All rights reserved. Author: Peter H., Phantom-Net Collaboration
Author: Holmqvist, Peter
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7093313071
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