Difference between revisions of "Paper Symbols"
From Evolutionary Knowledge Base
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</span><!--/no latex--><!--latex:\[EE(x,\tau)= \delta\mathcal{F}(x,\tau)= \mathrm{Resp}_{\mathcal{F}}\!\left(x,\tau;\,F_{0},k_{A},k_{n},k_{\chi},k_{u}\right)\]--> | </span><!--/no latex--><!--latex:\[EE(x,\tau)= \delta\mathcal{F}(x,\tau)= \mathrm{Resp}_{\mathcal{F}}\!\left(x,\tau;\,F_{0},k_{A},k_{n},k_{\chi},k_{u}\right)\]--> | ||
| − | === | + | === Decomposition === |
| − | + | <!--no latex--><span class="tex">EE = {A, n, χ, u}</span><!--/no latex--><!--latex:\[ | |
| + | EE = \{A,\,n,\,\chi,\,u\}\]--> | ||
| + | |||
| + | === Instantaneous configuration === | ||
| + | |||
| + | <!--no latex--><span class="tex">σ = (A, n, χ, u)<sub>ist</sub></span><!--/no latex--><!--latex:\[\sigma = (A,\,n,\,\chi,\,u)_{\mathrm{ist}}\]--> | ||
| + | |||
| + | === Statistical configuration === | ||
| + | |||
| + | <!--no latex--><span class="tex">(A(τ), n(τ), χ(τ), u(τ))</span><!--/no latex--><!--latex:\[ | ||
| + | (A(\tau),\,n(\tau),\,\chi(\tau),\,u(\tau))\]--> | ||
== Elementary Action == | == Elementary Action == | ||
Revision as of 19:13, 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)
