Energy-Based Reformulations of Foundational Equations
This section presents a curated set of foundational physical equations re-expressed through the lens of the CA (Conserved Acceleration) theory. The focus is on replacing mass-based interpretations with formulations grounded in energy flow and vacuum field parameters—specifically the spatial variation of μ₀ and ε₀, and their impact on the local speed of energy, c=1/μ0ε0c=1/μ0ε0.
While the historical versions of these formulas—such as the Schwarzschild metric and Einstein’s Field Equations—are listed in the Formulas section under History, the links below point to extended discussions that reinterpret these expressions in terms of dynamic energy gradients and field impedance.
These mathematical revisions aim to provide clarity on how energy, not mass, may govern the geometry of spacetime. Each linked page includes both the traditional form and its CA-based reanalysis, along with commentary on physical meaning, assumptions, and implications.
The following formulas are reformulated for your review:
Schwarzschild Metric (Energy-Based): Redefining the event horizon in terms of energy density gradients.
Einstein Field Equation – Energy Reformulation: Replacing the mass-energy tensor with an energy flux and field impedance tensor.
Gravitational Acceleration from ∂c/∂x: Reframing Newtonian gravity as a function of spatial variation in the speed of energy.
CA Wave Equation: Wave emission from temporal charge motion in the CA field.
EM Self-Interaction and Energy Condensation: Exploring field curvature through ∇(μ₀ε₀) and dynamic EM interactions.
Equivalence of E = mc² and E = 1/(μ₀ε₀): A transition from mass equivalence to field-based energy propagation speed.