Difference between revisions of "Paper Symbols"
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\[k_{A}\ \text{— intensity‑resistance}\] | \[k_{A}\ \text{— intensity‑resistance}\] | ||
| − | --><!--no latex--><span class="tex">k<sub>n</sub> — linear‑orientation resistance</span><!--/no latex--><!--latex: | + | --> |
| + | |||
| + | <!--no latex--><span class="tex">k<sub>n</sub> — linear‑orientation resistance</span><!--/no latex--><!--latex: | ||
\[k_{n}\ \text{— linear‑orientation resistance}\] | \[k_{n}\ \text{— linear‑orientation resistance}\] | ||
| − | --><!--no latex--><span class="tex">k<sub>χ</sub> — chirality‑reorientation resistance</span><!--/no latex--><!--latex: | + | --> |
| + | |||
| + | <!--no latex--><span class="tex">k<sub>χ</sub> — chirality‑reorientation resistance</span><!--/no latex--><!--latex: | ||
\[k_{\chi}\ \text{— chirality‑reorientation resistance}\] | \[k_{\chi}\ \text{— chirality‑reorientation resistance}\] | ||
| − | --><!--no latex--><span class="tex">k<sub>u</sub> — intrinsic‑angular‑orientation resistance</span><!--/no latex--><!--latex: | + | --> |
| + | |||
| + | <!--no latex--><span class="tex">k<sub>u</sub> — intrinsic‑angular‑orientation resistance</span><!--/no latex--><!--latex: | ||
\[k_{u}\ \text{— intrinsic‑angular‑orientation resistance}\] | \[k_{u}\ \text{— intrinsic‑angular‑orientation resistance}\] | ||
Revision as of 22:51, 13 July 2026
Contents
The Primary Source of Reality
Fundamental Force (FF)
F₀
Elementary Field (EF)
𝓕 = F₀ (A, n, χ, u; kA, kn, kχ, ku)
Structure of resistances
k𝓲 = k𝓲(intrinsic) + k𝓲(dynamic), 𝓲 ∈ {A,n,χ,u}
Resistance parameters
kA, kn — proto‑stress resistances
kχ, ku — proto‑vorticity resistances
kA — intensity‑resistance
kn — linear‑orientation resistance
kχ — chirality‑reorientation resistance
ku — intrinsic‑angular‑orientation resistance
Operational hypotheses (to be refined)
kχ ≈ ε0
ku ≈ μ0
Event-point(s) (EP)
EP = infinitesimal analytical sampling locus of the Field at label 𝑥
Elementary Events (EE)
EE(𝑥,τ)= δ𝓕(𝑥,τ)
Response of the Field
EE(𝑥,τ)= δ𝓕(𝑥,τ) = Resp𝓕(𝑥,τ; F₀, kA, kn, kχ, ku)
Decomposition
EE = {A, n, χ, u}
Instantaneous configuration
σ = (A, n, χ, u)instantaneous
Statistical configuration
(A(τ), n(τ), χ(τ), u(τ))
Elementary Action
EA = (ΔPA, ΔPn, ΔPχ, ΔPu)
ΔP𝓲 = τ𝓲actual − τ𝓲stochastically symmetric
Modes / Components
- Perturbation: ΔPA = τAactual − τAstochastically symmetric
- Translation: ΔPn = τnactual − τnstochastically symmetric
- Rotation: Chirality: ΔPχ = τχactual − τχstochastically symmetric
- Rotation: AxisOrientation: ΔPu = τuactual − τustochastically symmetric
Information / Energy (Potentials)
Equilibrium conditions
𝓒M = 𝓒(ΔPA) = 0
𝓒A = 𝓒(ΔPn) = 0
𝓒E = 𝓒(ΔPχ) = 0
𝓒B = 𝓒(ΔPu) = 0
Diffuse solutions
ΦM, ΦA, ΦE, ΦB ∈ Sol(𝓒)
InfoStructures
Wave‑like InfoStructures
Derived from
ΔPn, ΔPu
Equilibrium condition
𝓒wave (ΔPn, ΔPu) = 0
Proto‑wave equation
𝓦 [Ψ; ΔPn, ΔPu] = 0
Vortex‑like InfoStructures
Derived from
ΔPA, ΔPn, ΔPχ, ΔPu
Equilibrium condition
𝓒vortex (ΔPA, ΔPn, ΔPχ, ΔPu) = 0
Proto‑vortex equation
𝓥 [Ξ; ΔPA, ΔPn, ΔPχ, ΔPu] = 0
Interaction‑mediating InfoStructures
Relational equilibrium
𝓒int (Ψ, Ξ) = 0
Proto‑interaction equation
𝓘 [Ψ, Ξ] = 0
Geometric Projection
Wave projection
Proj(𝓦) → QM wave equations
Vortex projection
Proj(𝓥) → spinor equations
Interaction projection
Proj(𝓘) → gauge equations
Forms
No new fundamental equation
