Difference between revisions of "Paper Symbols"
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* Rotation:AxisOrientation: <!--no latex--><span class="tex">ΔP<sub>u</sub> = τ<sub>u</sub><sup>actual</sup> − τ<sub>u</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:\[\Delta P_{u} = \tau_{u}^{\mathrm{actual}} - \tau_{u}^{(\mathrm{stochastically\ symmetric})}\]--> | * Rotation:AxisOrientation: <!--no latex--><span class="tex">ΔP<sub>u</sub> = τ<sub>u</sub><sup>actual</sup> − τ<sub>u</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:\[\Delta P_{u} = \tau_{u}^{\mathrm{actual}} - \tau_{u}^{(\mathrm{stochastically\ symmetric})}\]--> | ||
| + | |||
| + | == Information / Energy (Potentials Φ) | ||
| + | |||
| + | === Equilibrium conditions === | ||
| + | |||
| + | <!--no latex--><span class="tex">𝓒<sub>M</sub> = 𝓒(ΔP<sub>A</sub>) = 0</span><!--/no latex--><!--latex: | ||
| + | |||
| + | \[ | ||
| + | \mathcal{C}_{M} = \mathcal{C}(\Delta P_{A}) = 0 | ||
| + | \] | ||
| + | |||
| + | --> | ||
| + | |||
| + | <!--no latex--><span class="tex">𝓒<sub>A</sub> = 𝓒(ΔP<sub>n</sub>) = 0</span><!--/no latex--><!--latex: | ||
| + | |||
| + | \[ | ||
| + | \mathcal{C}_{A} = \mathcal{C}(\Delta P_{n}) = 0 | ||
| + | \] | ||
| + | |||
| + | --> | ||
| + | |||
| + | <!--no latex--><span class="tex">𝓒<sub>E</sub> = 𝓒(ΔP<sub>χ</sub>) = 0</span><!--/no latex--><!--latex: | ||
| + | |||
| + | \[ | ||
| + | \mathcal{C}_{E} = \mathcal{C}(\Delta P_{\chi}) = 0 | ||
| + | \] | ||
| + | |||
| + | --> | ||
| + | |||
| + | <!--no latex--><span class="tex">𝓒<sub>B</sub> = 𝓒(ΔP<sub>u</sub>) = 0</span><!--/no latex--><!--latex: | ||
| + | |||
| + | \[ | ||
| + | \mathcal{C}_{B} = \mathcal{C}(\Delta P_{u}) = 0 | ||
| + | \] | ||
| + | |||
| + | --> | ||
| + | |||
| + | === Diffuse solutions === | ||
| + | |||
| + | <!--no latex--><span class="tex">Φ<sub>M</sub>, Φ<sub>A</sub>, Φ<sub>E</sub>, Φ<sub>B</sub> ∈ Sol(𝓒)</span><!--/no latex--><!--latex:\[\Phi_{M},\;\Phi_{A},\;\Phi_{E},\;\Phi_{B} \in \mathrm{Sol}(\mathcal{C})\]--> | ||
Revision as of 19:08, 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)
Aspects
?
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)
