Mathematical Layer for the Aetheric Magnetic Substrate

Mathematical Layer for the Aetheric Magnetic Substrate (AMS)

1. Status and Scope

This section does not propose new mathematics.
It proposes a reinterpretation of existing equations as emergent descriptions of
Aetheric Magnetic Substrate (AMS) tension dynamics.

All equations below are standard; only their ontological meaning is reassigned.

2. AMS Field Variables

Let the AMS be represented by a continuous substrate field:

  • Ψ(x, t) : AMS torsion/tension state (scalar or tensor field)
  • τ(x, t) : local torsional density
  • κ(x, t) : curvature of AMS geometry
  • ρᵥ(x) : vorton density (matter-as-knot concentration)

Observable fields emerge from gradients and curls of Ψ.

3. Electromagnetism as AMS Dynamics

3.1 Electric Field (E)

Standard:
E = −∇φ − ∂A/∂t

AMS Interpretation:

  • E is the rate of AMS tension reconfiguration
  • φ is scalar tension imbalance
  • A is directional torsion bias

Electric potential = stored AMS tension asymmetry.

3.2 Magnetic Field (B)

Standard:
B = ∇ × A

AMS Interpretation:

  • B is static torsional equilibrium
  • No flow, no particles, no spinning
  • A held geometric twist in AMS

This explains:

  • Why magnetic field lines do not start or end
  • Why ∇·B = 0 is geometrically mandatory

3.3 Maxwell’s Equations (AMS View)

∇·E = ρ / ε₀
→ Divergence of AMS tension caused by vorton density

∇×E = −∂B/∂t
→ Time-varying torsion induces tension redistribution

∇·B = 0
→ Torsional closure constraint of AMS geometry

∇×B = μ₀J + μ₀ε₀ ∂E/∂t
→ Vorton slip rate + tension propagation

4. Ohm’s Law (Emergent)

Standard:
V = IR

AMS Interpretation:

  • V: imposed AMS tension gradient
  • I: rate of coordinated vorton slip events
  • R: resistance to AMS reconfiguration through material geometry

Thus:

I ∝ (ΔΨ / material reconfiguration impedance)

5. Power

Standard:
P = VI

AMS Interpretation:
Power = rate of AMS tension relaxation through matter.

Heat = chaotic micro-torsion dissipation in AMS.

6. Frequency and AC

AC frequency corresponds to periodic inversion of AMS torsion gradient.
DC corresponds to static torsion gradient with continuous relaxation.

7. What Is New Here?

  • No particles as carriers of force
  • No energy substance
  • No fields as abstractions

Only geometry, tension, and topology of a single substrate.

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