E — EQUATION
Definition: A mathematical formulation expressing relationships between defined quantities.
Epistemological Role
- Formal: Uses mathematical notation
- Precise: Eliminates ambiguity
- Testable: Can be computed and compared to data
Test for Equation Status
“Is this a mathematical expression relating defined quantities?”
- If YES → Equation
- If it’s defining a term → Definition
- If it’s a general claim → Axiom or Theorem
Count
12 Equations in the full spine
Key Equations
| ID | Name | Formula |
|---|---|---|
| E2.1 | Master Equation (First Form) | ∂χ/∂t = … |
| E3.1 | Master Coherence Equation | dC/dt = f(χ, Φ, G) |
| E4.1 | Complexity Decrease Under Chi | K(x |
| E6.1 | Modified Schrödinger | iℏ∂Ψ/∂t = ĤΨ - iγ(Φ)Ψ |
| E6.2 | Phi-Dependent Collapse | γ = γ₀·Φ |
| E9.1 | Grace Function G(t) | G(t) = G₀·f(acceptance) |
| E10.1 | Soul Field Equation | ∂Ψ_S/∂t = … |
| E12.1 | Destiny Equation | lim(t→∞) ρ(t) = {Ω, ∅} |
| E13.1 | GR-QM Bridge | G_μν = κ·T_μν(χ) |
| E14.1 | Modified Friedmann | H² = (8πG/3)ρ + f(χ) |
| E19.1 | Full Master Equation | Lindblad form with all terms |
Full List
See: E - Equations
Relationship to Ten Laws
The Ten Laws of Coherence (L1-L10) are bridges between spiritual concepts and equations:
| Law | Spiritual | Equation Term |
|---|---|---|
| I | Sin | ∂/∂t (temporal decay) |
| II | Grace | = (external balance) |
| III | Faith | Ŵ (witness operator) |
| IV | Flesh | -γL (dissipation) |
| V | Repentance | -∇²χ (diffusion) |
| VI | Sanctification | G·χ (grace coupling) |
| VII | Judgment | δ-function (collapse) |
| VIII | Resurrection | ∫dt (temporal integration) |
| IX | Covenant | ⟨Ω |
| X | Logos | χ itself (the field) |
Equations are where physics meets formalism.