PROMPT:
We can continue to integrate, or differentiate in each direction to solve for the unit of each increment
This shows that energy is inherently frequency-dependent and follows fundamental unit transformations.
PROMPT:
Continue to integrate up from each increment, and also differentiate down from force
Let’s continue the integration upwards from each physical quantity (momentum, energy, power) and differentiation downwards from force, systematically solving for their unit relationships.
Step 4: Summary of Integration and Differentiation
Would you like to extend this into gravitational field theory? PROMPT: Yes
suggesting that gravitational interactions obey frequency-based quantization just like photons do in electromagnetism.
Step 5: Summary Table for Electromagnetism and Gravity
Conclusion: Linking Gravity and Electromagnetism through Frequency
- Energy is frequency-dependent in both electromagnetism and gravity.
- Gravitational forces can be expressed in terms of impedance, similar to the way electromagnetic waves have vacuum impedance.
- Gravitational waves obey the same hierarchical integration and differentiation process as electromagnetic waves, reinforcing their quantum nature.
This implies a deep connection between electromagnetism and gravity, potentially supporting ideas like quantum gravity or emergent spacetime models.
Would you like to extend this toward graviton interactions or curved spacetime quantization?
Warning: graphic language
Continues here - Planck Has a Relative Called Schrödinger?