Primordial Photon–Dark Photon Entanglement
https://cosmic-entanglement-visualizer-cop-844bebeb.base44.app/
A research and analysis framework for testing the Photon–Dark Photon Entanglement Hypothesis, analyzing astronomical imaging data, and generating reproducible physics validation results using HST, JWST, and other observatory FITS products.
🚀 Overview
This repository provides:
Physics Validation Tests that compute predicted P–D entanglement observables.
Expected Numerical Results for cross‑checking model predictions.
Automated pipelines for running analyses on clusters (e.g., Abell 1689) and other astrophysical targets.
Jupyter notebooks for full end‑to‑end scientific workflows.
Data ingestion tools for MAST/HST/JWST FITS downloads.
📂 Repository Structure
Primordial-Photon-Dark-Photon-Entanglement/
├── Physics_Validation_Tests.py
├── Expected_Numerical_Results.py
├── utils/
│ ├── preprocessing.py
Features
- Photon Dark Photon Fuzzy Dark Matter (FDM) Entanglement Derivation formulas and steps, consolidated:
- 1. Relativistic Foundation Action: S=∫d^4 x√(-g) [ 1/2 g^μν ∂_μ ϕ∂_ν ϕⓜ-1/2 m^2 ϕ^2 ]+S_"gravity" Klein-Gordon Equation: □ϕ+m^2 ϕ=0,□=g^μν ∇_μ ∇_ν
- 2. Non-Relativistic Limit Field decomposition: ϕ(x,t)=1/√2m [ψ(x,t)e^(-imt)+ψ^* (x,t)e^imt ] Schrödinger equation: i∂_t ψ=-1/2m ∇^2 ψ+mΦψ
- 3. Self-Gravity Closure Poisson equation: ∇^2 Φ=4πGρ=4πG∣ψ∣^2 Full Schrödinger-Poisson system (ℏ=1): i∂_t ψ=-1/2m ∇^2 ψ+Φψ,∇^2 Φ=4πG∣ψ∣^2
- 4. Two-Field FDM (Light-Dark Duality) Combined wavefunction: ψ=ψ_t+ψ_d e^iΔϕ Coupled evolution (weak mixing ε≪1): i∂_t ψ_t=-1/(2m_t ) ∇^2 ψ_t+(Φ_t+ϵΦ_d)ψ_t i∂_t ψ_d=-1/(2m_d ) ∇^2 ψ_d+(Φ_d+ϵΦ_t)ψ_d Interference density: ρ=∣ψ∣^2=∣ψ_t ∣^2+∣ψ_d ∣^2+2R(ψ_t^* ψ_d e^iΔϕ) Fringe spacing (plane wave approximation): λ=2π/(∣Δk∣)≈h/mv where vis relative velocity between sectors.
- 5. Solitonic Solutions Stationary ansatz: ψ=√(ρ(r)) e^(-iμt) Stationary equations: μ√ρ=-1/2m ∇^2 √ρ+Φ√ρ,∇^2 Φ=4πGρ Ground state core density scaling: ρ_c∝m^2/G ________________________________________ Key Physical Insights: FDM mass scale: m∼10^(-22) " eV" gives de Broglie wavelength comparable to dwarf galaxies (~kpc) Wave behavior: Schrödinger-Poisson system describes coherent, self-gravitating Bose condensate
- Two-field interference: Creates observable density fringes with spacing λ ∝ 1/(mΔv) Solitonic cores: Naturally form stable, non-fragmenting structures (explains dark matter cores in galaxies) Experimental relevance: For comet-scale observations (like 3I/ATLAS), fringe spacing can be tuned to match observed angular offsets (~arcseconds)
- Applications: Galactic scale: Solves cusp-core problem in dwarf galaxies Laboratory/SS scale: Interference patterns could manifest as periodic forces or density modulations Dark photon connection: Two-field FDM provides framework for light-dark sector interactions This derivation establishes FDM as a viable wave-based dark matter candidate with testable phenomenological consequences across scales.
- https://cosmic-entanglement-visualizer-cop-844bebeb.base44.app/