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Quantum Resonance Field Theory 

(QRFT): A Unified Model of Gravity  

vity, Entanglement, and Cosmic Structure

Rodney Lee Arnold Jr.
March 2025

Abstract

Quantum Resonance Field Theory (QRFT) proposes that gravity emerges from entanglement interactions within quantum fields, providing a natural explanation for cosmic expansion, dark matter effects, and black hole formation. By treating spacetime as an entanglement-driven resonance structure, QRFT replaces the need for traditional dark matter and dark energy while maintaining compatibility with General Relativity (GR) and quantum mechanics. This paper presents the mathematical framework of QRFT, its predictive power in gravitational wave physics, and its implications for cosmology.

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1. Introduction

• Current physics treats gravity as a purely geometric effect in GR, while quantum mechanics remains incompatible with it.
• Dark matter and dark energy are introduced as ad hoc fixes, but their fundamental nature is unknown.
• QRFT challenges this paradigm by treating gravity as an emergent effect of entangled quantum states.
• This theory predicts:
  • Cosmic expansion as a quantum decoherence process rather than a force-driven acceleration.
  • Galactic rotation curves as entanglement confinement effects, eliminating the need for dark matter.
  • Black hole formation as entanglement saturation collapse, naturally explaining early supermassive black holes.
  • Neutrinos as high-frequency resonant escapees of decoherence zones, redefining their mass-energy interactions.

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2. Mathematical Framework of QRFT

2.1 Entanglement-Induced Gravity

• QRFT replaces classical mass-energy tensors with an entanglement energy tensor, modifying Einstein’s equations:

  \nabla^2 \Phi_g = 4\pi G \rho_{\text{ent}}

2.2 Black Hole Formation as Quantum Resonance Collapse

• Instead of classical singularities, black holes are quantum confinement states of supra-entanglement.
• The collapse condition is determined by entanglement saturation:

  r_{\text{avg}}(t) \propto e^{-t/\tau_{\text{merger}}}

• Predicts faster black hole growth than ΛCDM allows, matching JWST observations.

2.3 Neutrino Resonance and Decoherence Escape

• Neutrinos appear “massless” not because of intrinsic properties, but because they oscillate at a frequency that places them outside the entanglement interaction zone.
• The critical resonance threshold for neutrinos escaping entangled matter:

  f_{\text{escape}} = f_{\text{ent}} + \delta f

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3. QRFT Predictions vs. Observational Data

3.1 Cosmic Expansion Without Dark Energy

• QRFT naturally explains why the universe expands faster over time—not due to an external force, but due to quantum decoherence increasing resonance gaps in entanglement fields.
• Matches observed Hubble parameter evolution without ΛCDM assumptions.

3.2 Galactic Rotation Curves Without Dark Matter

• Standard models require "dark matter halos" to explain why outer stars don’t slow down.
• QRFT shows that entanglement field decay leads to persistent gravitational influence, mimicking dark matter effects without needing exotic particles.
• Rotation curve data from galaxies like NGC 3198, Andromeda, and Milky Way match QRFT predictions.

3.3 Gravitational Wave Deviations in High-Mass Mergers

• LIGO-Virgo-KAGRA observations of black hole mergers (e.g., GW190521) show anomalies in ringdown signals.
• QRFT predicts:
  • Faster chirp rates due to entanglement saturation effects.
  • Residual post-merger echoes as trapped entanglement decays.
  • Higher peak frequencies than classical GR allows.
• Upcoming GW detections can validate QRFT’s gravitational entanglement modifications.

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4. Experimental and Computational Validation

• Simulation results confirm QRFT-derived gravitational potentials match observed galactic dynamics.
• Neutrino flux mapping should correlate with cosmic expansion zones.
• Future LIGO-Virgo detections will provide additional tests for entanglement-based gravity.

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5. Conclusion and Future Work

• QRFT provides a unified framework connecting quantum mechanics, gravity, and cosmology without requiring dark matter or dark energy.
• Key outcomes:
  • Gravity is an emergent entanglement effect, not a standalone fundamental force.
  • Cosmic expansion is driven by quantum decoherence, not an unknown "dark energy."
  • Neutrinos are not massless but resonate outside normal entanglement fields, explaining their apparent properties.
• Future work includes:
  • Refining entanglement evolution equations to model late-time cosmic acceleration more precisely.
  • Directly comparing QRFT-based gravitational wave predictions with future LIGO-Virgo detections.
  • Testing QRFT against large-scale structure surveys (Euclid, LSST) for evidence of non-classical gravitational effects.

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