Illuminating Dark Matter: Quantifying Gravity Through Galactic Rotation Curves

The FaTE model redefines gravity as an emergent phenomenon driven by resonance coherence within massive bodies and in the particulate medium, eliminating the need for exotic dark matter to explain galactic rotation curves.

Key Components

1. Introduction:
2. • Galactic rotation curves (e.g., NGC 2403) show flat velocities at large radii, traditionally explained by invoking dark matter.
   • The FaTE model offers an alternative framework based on observable components like gas, dust, neutrinos, and cosmic rays.
3. Photon Coupling and Oscillatory Interplay:
4. • Post-Big Bang photon-photon interactions form gluons, leading to particle confinement and oscillatory states.
   • Oscillatory interplay aligns particle states within coherent systems, creating resonance essential for gravitational attraction.
5. Resonant Coherence:
6. • Gravity arises from resonance coherence, where oscillatory states align, amplifying gravitational effects.
   • Nexus Points:
   • • Equilibrium regions where gravitational and resonance forces balance.
     • Extend gravitational influence by propagating coherence across systems.
     • Visualized with a figure showing particle alignment dynamics.
7. The Force and Its Modes:
8. • Unifies gravitational, electromagnetic, strong, and weak forces as modes of a single photon-mediated interaction.
   • Gravity is the weakest mode, reflecting its dependence on low-energy resonance.
9. Definition of Gravity:
10. • A mathematical framework ties gravity to resonance coherence and the particulate medium:
    • • Gravitational potential incorporates contributions from both massive bodies and the particulate medium.
      • The particulate medium amplifies gravitational effects at galactic scales, explaining flat rotation curves.
11. Dark Matter and Galactic Rotation Curves:
12. • Redefines dark matter as the observable particulate medium.
    • Demonstrates how resonance coherence explains flat rotation curves without requiring exotic components.
13. Supporting Evidence:
14. • Observations of the interstellar medium, neutrinos, and cosmic rays align with the model’s predictions of gravitational dynamics.
15. Conclusion:
16. • The FaTE model unifies gravitational phenomena by quantifying the roles of resonance coherence and the particulate medium.
    • Nexus points extend the framework to explain gravitational balance and cosmic structure formation.
    • The model resolves galactic rotation curves and redefines dark matter in terms of observable physics.

Significance

The brief presents the FaTE model as a transformative approach to gravitational theory, replacing speculative dark matter with quantifiable, measurable phenomena while maintaining alignment with observed data. It highlights resonance coherence and nexus points as key innovations, offering a unified framework for understanding cosmic and local gravitational phenomena.