Mathematical Framework
1. Energy Flow Dynamics
This equation highlights the balance between the temporal evolution of energy and the spatial gradient of entropy.
2. Interaction with Einstein’s Field Equations
Energy flow modifies the Einstein field equations to account for dynamic adjustments in space-time curvature. The modified equation is:
This adjustment accounts for the influence of energy redistribution on the curvature of space-time.
3. Boundary Conditions
To maintain physical consistency, the model applies specific boundary conditions:
4. Applications
- Cosmic Expansion:
- Redistribution of energy flow explains the acceleration of low-density regions.
- Black Hole Dynamics:
- Models how energy flow sustains event horizon stability despite extreme curvature.
- Quantum Foam:
- Temporal fluctuations at microscopic scales are driven by energy flow dynamics.
Next Steps
- Simulation Development:
- Implement the equations in computational models to study space-time dynamics under varying energy flows.
- Empirical Validation:
- Compare theoretical predictions with data from gravitational lensing, cosmic microwave background, and black hole observations.
Links:
- Energy Flow and the Sustenance of Space-Time (Conceptual Model)
- Entropy and Cosmic Evolution (Related Hypothesis)