Difference between revisions of "Paper Symbols"
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==== Derived from ==== | ==== Derived from ==== | ||
| − | <!--no latex--><span class="tex">ΔP<sub>χ</sub>, ΔP<sub>u</sub></span><!--/no latex--><!--latex:\[\Delta P_{\chi},\;\Delta P_{u}\]--> | + | <!--no latex--><span class="tex">ΔP<sub>A</sub>, ΔP<sub>n</sub>, ΔP<sub>χ</sub>, ΔP<sub>u</sub></span><!--/no latex--><!--latex:\[\Delta P_{A},\;\Delta P_{n},\;\Delta P_{\chi},\;\Delta P_{u}\]--> |
==== Equilibrium condition ==== | ==== Equilibrium condition ==== | ||
| − | <!--no latex--><span class="tex">𝓒<sub>vortex</sub>(ΔP<sub>χ</sub>, ΔP<sub>u</sub>) = 0</span><!--/no latex--><!--latex:\[\mathcal{C}_{vortex}(\Delta P_{\chi},\,\Delta P_{u}) = 0\]--> | + | <!--no latex--><span class="tex">𝓒<sub>vortex</sub>(ΔP<sub>A</sub>, ΔP<sub>n</sub>, ΔP<sub>χ</sub>, ΔP<sub>u</sub>) = 0</span><!--/no latex--><!--latex:\[\mathcal{C}_{vortex}(\Delta P_{A},\,\Delta P_{n},\,\Delta P_{\chi},\,\Delta P_{u}) = 0\]--> |
==== Proto‑vortex equation ==== | ==== Proto‑vortex equation ==== | ||
| − | <!--no latex--><span class="tex">𝓥[Ξ; ΔP<sub>χ</sub>, ΔP<sub>u</sub>] = 0</span><!--/no latex--><!--latex:\[\mathcal{V}[\Xi;\,\Delta P_{\chi},\,\Delta P_{u}] = 0\]--> | + | <!--no latex--><span class="tex">𝓥[Ξ; ΔP<sub>A</sub>, ΔP<sub>n</sub>, ΔP<sub>χ</sub>, ΔP<sub>u</sub>] = 0</span><!--/no latex--><!--latex:\[\mathcal{V}[\Xi;\,\Delta P_{A},\,\Delta P_{n},\,\Delta P_{\chi},\,\Delta P_{u}] = 0\]--> |
Revision as of 19:23, 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)
Total resistances
k𝓲 = k𝓲intr + k𝓲dyn
Event-point(s) (EP)
nn
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)ist
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 Φ)
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