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.
Key Mathematical Relations
This section develops the mathematical model underpinning the Charge Admittance (CA) framework, beginning with the fundamental unit of energy structuring: the sprit (σ).
Inflection Point and Field Jerk The sprit (σ) inflection point defines the onset of structural deformation: This “jerk derivative” directly seeds the curvature in flux
Field Emission Modified by Ξ Energy radiates from a sprit in the form of a Poynting vector modified by local admittance.
Magnetic Domain Inflection The sprit (σ) perturbs the local flux landscape. This expresses magnetic domain response as an impedance lens, analogous to a refractive effect.
Field Memory and Coherence Persistence The persistence of a sprit’s effect is governed by a coherence integral which measures how long and strongly the local field remembers the structuring event.
Gravity as a Gradient in Propagation The gravitational field is not caused by mass, but by spatial variation in the field’s impedance:
Gravitational Acceleration from ∂c/∂x: Reframing Newtonian gravity as a function of spatial variation in the speed of energy.
Gravitational Conservation In uniform regions — where ε₀ and μ₀ are constant — gravity disappears:
Energy Propagation vs. Time Energy exist as a function of a gradient over a time difference. A changing field means a changing rate Energy.
Speed of Light as Local Field Behavior Light speed isn’t a cosmic speed limit — it’s a local material property:
Gradients of c Exploring field curvature through ∇(μ0ε0) and dynamic EM interactions.
Photon Genesis There are two types of photon generation, single-ended and bi-directional.
Y0 Energy Equations The Mathematics of Energy in the CA environment.
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.
CA Wave Equation: Wave emission from temporal charge motion in the CA field.
Maxwell Extensions The four extensions that describe unification of μ0ε0 with the forces in the Standard Model.
Chronitivity The aspects the lattice governed by Permeability and Permittivity that regulate the speed of waves.
Coherence The aspects the lattice governed by Permeability and permittivity that regulate the shape of waves.