Difference between revisions of "Paper Symbols"

Revision as of 21:16, 13 July 2026

1 The Primary Source of Reality
- 1.1 Fundamental Force (FF)
- 1.2 Elementary Field (EF)
2 Event-point(s) (EP)
3 Elementary Events (EE)
4 Elementary Action
- 4.1 Modes / Components
5 Information / Energy (Potentials Φ)
- 5.1 Equilibrium conditions
- 5.2 Diffuse solutions
6 InfoStructures
7 Geometric Projection
8 Forms

The Primary Source of Reality

Fundamental Force (FF)

F₀

Elementary Field (EF)

𝓕 = F₀(A, n, χ, u; k_A, k_n, k_χ, k_u)

Structure of resistances

k_𝓲 = k_𝓲^(intrinsic) + k_𝓲^(dynamic), 𝓲 ∈ {A,n,χ,u}

Resistance parameters

k_A, k_n — proto‑stress resistances
k_χ, k_u — proto‑vorticity resistances

Operational hypotheses (to be refined)

k_χ ≈ ε₀
k_u ≈ 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) = Resp_𝓕(𝑥,τ; F₀, k_A, k_n, k_χ, k_u)

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 = (ΔP_A, ΔP_n, ΔP_χ, ΔP_u)

ΔP_𝓲 = τ_𝓲^actual − τ_𝓲^{stochastically symmetric}

Modes / Components

Perturbation: ΔP_A = τ_A^actual − τ_A^{stochastically symmetric}

Translation: ΔP_n = τ_n^actual − τ_n^{stochastically symmetric}

Rotation: Chirality: ΔP_χ = τ_χ^actual − τ_χ^{stochastically symmetric}

Rotation: AxisOrientation: ΔP_u = τ_u^actual − τ_u^{stochastically symmetric}

Information / Energy (Potentials Φ)

Equilibrium conditions

𝓒_M = 𝓒(ΔP_A) = 0

𝓒_A = 𝓒(ΔP_n) = 0

𝓒_E = 𝓒(ΔP_χ) = 0

𝓒_B = 𝓒(ΔP_u) = 0

Diffuse solutions

Φ_M, Φ_A, Φ_E, Φ_B ∈ Sol(𝓒)

InfoStructures

Wave‑like InfoStructures

Derived from

ΔP_n, ΔP_u

Equilibrium condition

𝓒_wave(ΔP_n, ΔP_u) = 0

Proto‑wave equation

𝓦[Ψ; ΔP_n, ΔP_u] = 0

Vortex‑like InfoStructures

Derived from

ΔP_A, ΔP_n, ΔP_χ, ΔP_u

Equilibrium condition

𝓒_vortex(ΔP_A, ΔP_n, ΔP_χ, ΔP_u) = 0

Proto‑vortex equation

𝓥[Ξ; ΔP_A, ΔP_n, ΔP_χ, ΔP_u] = 0

Interaction‑mediating InfoStructures

Relational equilibrium

𝓒_int(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

@@ Line 7: / Line 7: @@
 === Elementary Field (EF) ===
-<!--no latex--><span class="tex">𝓕 = F₀(A, n, χ, u; k<sub>A</sub>, k<sub>n</sub>, k<sub>χ</sub>, k<sub>u</sub>)</span><!--/no latex--><!--latex:\[\mathcal{F} = F_{0}(A,n,\chi,u;\,k_{A},k_{n},k_{\chi},k_{u})\]-->
+<!--no latex--><span class="tex">𝓕 = F₀(A, n, χ, u; k<sub>A</sub>, k<sub>n</sub>, k<sub>χ</sub>, k<sub>u</sub>)</span><!--/no latex--><!--latex:
+\[
+\mathcal{F} = F_{0}(A,n,\chi,u;\,k_{A},k_{n},k_{\chi},k_{u})
+\]
+-->
 ==== Structure of resistances ====
 <!--no latex--><span class="tex">
-k<sub>𝓲</sub> = k<sub>𝓲</sub><sup>(intrinsic)</sup> + k<sub>𝓲</sub><sup>(dynamic)</sup>, 𝓲 ∈ {A,n,χ,u}</span><!--/no latex--><!--latex:\[k_{\mathcal{i}} = k_{\mathcal{i}}^{(\mathrm{intrinsic})} + k_{\mathcal{i}}^{(\mathrm{dynamic})}, \qquad
+k<sub>𝓲</sub> = k<sub>𝓲</sub><sup>(intrinsic)</sup> + k<sub>𝓲</sub><sup>(dynamic)</sup>, 𝓲 ∈ {A,n,χ,u}
-\mathcal{i} \in \{A,\,n,\,\chi,\,u\}\]-->
+</span><!--/no latex--><!--latex:
+\[
+k_{\mathcal{i}} = k_{\mathcal{i}}^{(\mathrm{intrinsic})} + k_{\mathcal{i}}^{(\mathrm{dynamic})},
+\qquad
+\mathcal{i} \in \{A,\,n,\,\chi,\,u\}
+\]
+-->
 ==== Resistance parameters ====
-<!--no latex--><span class="tex">k<sub>A</sub>, k<sub>n</sub> — proto‑stress resistances</span><br/><span class="tex">k<sub>χ</sub>, k<sub>u</sub> — proto‑vorticity resistances</span><!--/no latex--><!--latex:\[k_{A},\,k_{n}\ \text{— proto‑stress resistances}\] \[k_{\chi},\,k_{u}\ \text{— proto‑vorticity resistances}\]-->
+<!--no latex--><span class="tex">k<sub>A</sub>, k<sub>n</sub> — proto‑stress resistances</span><br/>
+<span class="tex">k<sub>χ</sub>, k<sub>u</sub> — proto‑vorticity resistances</span><!--/no latex--><!--latex:
+\[
+k_{A},\,k_{n}\ \text{— proto‑stress resistances}
+\]
+\[
+k_{\chi},\,k_{u}\ \text{— proto‑vorticity resistances}
+\]
+-->
 ==== Operational hypotheses (to be refined) ====
@@ Line 23: / Line 51: @@
 <!--no latex--><span class="tex">k<sub>χ</sub> ≈ ε<sub>0</sub></span><br/>
 <span class="tex">k<sub>u</sub> ≈ μ<sub>0</sub></span><!--/no latex--><!--latex:
 \[
@@ Line 35: / Line 62: @@
 k_{u} \approx \mu_{0}
 \]
 -->
@@ Line 42: / Line 68: @@
 <!--no latex--><span class="tex">
-EP = infinitesimal analytical sampling locus of the Field at label 𝑥</span><!--/no latex--><!--latex:\[EP = \text{infinitesimal analytical sampling locus of the Field at label }\mathit{x}
+EP = infinitesimal analytical sampling locus of the Field at label 𝑥
-]-->
+</span><!--/no latex--><!--latex:
+\[
+EP = \text{infinitesimal analytical sampling locus of the Field at label }\mathit{x}
+\]
+-->
 == Elementary Events (EE) ==
-<!--no latex--><span class="tex">EE(𝑥,τ)= δ𝓕(𝑥,τ)</span><!--/no latex--><!--latex:\[EE(𝑥,\tau)=\delta\mathcal{F}(𝑥,\tau)\]-->
+<!--no latex--><span class="tex">EE(𝑥,τ)= δ𝓕(𝑥,τ)</span><!--/no latex--><!--latex:
+\[
+EE(\mathit{x},\tau)=\delta\mathcal{F}(\mathit{x},\tau)
+\]
+-->
 === Response of the Field ===
@@ Line 54: / Line 92: @@
 EE(𝑥,τ)= δ𝓕(𝑥,τ)
 = Resp<sub>𝓕</sub>(𝑥,τ; F₀, k<sub>A</sub>, k<sub>n</sub>, k<sub>χ</sub>, k<sub>u</sub>)
-</span><!--/no latex--><!--latex:\[EE(\mathit{x},\tau)= \delta\mathcal{F}(\mathit{x},\tau)= \mathrm{Resp}_{\mathcal{F}}\!\left(\mathit{x},\tau;\,F_{0},k_{A},k_{n},k_{\chi},k_{u}\right)\]-->
+</span><!--/no latex--><!--latex:
+\[
+EE(\mathit{x},\tau)= \delta\mathcal{F}(\mathit{x},\tau)=
+\mathrm{Resp}_{\mathcal{F}}\!\left(\mathit{x},\tau;\,F_{0},k_{A},k_{n},k_{\chi},k_{u}\right)
+\]
+-->
 === Decomposition ===
-<!--no latex--><span class="tex">EE = {A, n, χ, u}</span><!--/no latex--><!--latex:\[
+<!--no latex--><span class="tex">EE = {A, n, χ, u}</span><!--/no latex--><!--latex:
-EE = \{A,\,n,\,\chi,\,u\}\]-->
+\[
+EE = \{A,\,n,\,\chi,\,u\}
+\]
+-->
 === Instantaneous configuration ===
-<!--no latex--><span class="tex">σ = (A, n, χ, u)<sub>instantaneous</sub></span><!--/no latex--><!--latex:\[\sigma = (A,\,n,\,\chi,\,u)_{\mathrm{instantaneous}}\]-->
+<!--no latex--><span class="tex">σ = (A, n, χ, u)<sub>instantaneous</sub></span><!--/no latex--><!--latex:
+\[
+\sigma = (A,\,n,\,\chi,\,u)_{\mathrm{instantaneous}}
+\]
+-->
 === Statistical configuration ===
-<!--no latex--><span class="tex">(A(τ), n(τ), χ(τ), u(τ))</span><!--/no latex--><!--latex:\[
+<!--no latex--><span class="tex">(A(τ), n(τ), χ(τ), u(τ))</span><!--/no latex--><!--latex:
-(A(\tau),\,n(\tau),\,\chi(\tau),\,u(\tau))\]-->
+\[
+(A(\tau),\,n(\tau),\,\chi(\tau),\,u(\tau))
+\]
+-->
 == Elementary Action ==
-<!--no latex--><span class="tex">EA = (ΔP<sub>A</sub>, ΔP<sub>n</sub>, ΔP<sub>χ</sub>, ΔP<sub>u</sub>)</span><!--/no latex--><!--latex:\[EA = (\Delta P_{A},\,\Delta P_{n},\,\Delta P_{\chi},\,\Delta P_{u})\]-->
+<!--no latex--><span class="tex">EA = (ΔP<sub>A</sub>, ΔP<sub>n</sub>, ΔP<sub>χ</sub>, ΔP<sub>u</sub>)</span><!--/no latex--><!--latex:
-<!--no latex--><span class="tex">ΔP<sub>𝓲</sub> = τ<sub>𝓲</sub><sup>actual</sup> − τ<sub>𝓲</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:\[\Delta P_{\mathcal{i}} = \tau_{\mathcal{i}}^{\mathrm{actual}} - \tau_{\mathcal{i}}^{(\mathrm{stochastically\ symmetric})}\]-->
+\[
+EA = (\Delta P_{A},\,\Delta P_{n},\,\Delta P_{\chi},\,\Delta P_{u})
+\]
+-->
+<!--no latex--><span class="tex">ΔP<sub>𝓲</sub> = τ<sub>𝓲</sub><sup>actual</sup> − τ<sub>𝓲</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:
+\[
+\Delta P_{\mathcal{i}} =
+\tau_{\mathcal{i}}^{\mathrm{actual}} -
+\tau_{\mathcal{i}}^{(\mathrm{stochastically\ symmetric})}
+\]
+-->
 === Modes / Components ===
-* Perturbation: <!--no latex--><span class="tex">ΔP<sub>A</sub> = τ<sub>A</sub><sup>actual</sup> − τ<sub>A</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:\[\Delta P_{A} = \tau_{A}^{\mathrm{actual}} - \tau_{A}^{(\mathrm{stochastically\ symmetric})}\]-->
+* Perturbation: <!--no latex--><span class="tex">ΔP<sub>A</sub> = τ<sub>A</sub><sup>actual</sup> − τ<sub>A</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:
-* Translation: <!--no latex--><span class="tex">ΔP<sub>n</sub> = τ<sub>n</sub><sup>actual</sup> − τ<sub>n</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:\[\Delta P_{n} = \tau_{n}^{\mathrm{actual}} - \tau_{n}^{(\mathrm{stochastically\ symmetric})}\]-->
+\[
+\Delta P_{A} =
+\tau_{A}^{\mathrm{actual}} -
+\tau_{A}^{(\mathrm{stochastically\ symmetric})}
+\]
-* Rotation:Chirality: <!--no latex--><span class="tex">ΔP<sub>χ</sub> = τ<sub>χ</sub><sup>actual</sup> − τ<sub>χ</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:\[\Delta P_{\chi} = \tau_{\chi}^{\mathrm{actual}} - \tau_{\chi}^{(\mathrm{stochastically\ symmetric})}\]-->
+-->
-* 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:\[\Delta P_{u} = \tau_{u}^{\mathrm{actual}} - \tau_{u}^{(\mathrm{stochastically\ symmetric})}\]-->
+* Translation: <!--no latex--><span class="tex">ΔP<sub>n</sub> = τ<sub>n</sub><sup>actual</sup> − τ<sub>n</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:
+\[
+\Delta P_{n} =
+\tau_{n}^{\mathrm{actual}} -
+\tau_{n}^{(\mathrm{stochastically\ symmetric})}
+\]
+-->
+* Rotation: Chirality: <!--no latex--><span class="tex">ΔP<sub>χ</sub> = τ<sub>χ</sub><sup>actual</sup> − τ<sub>χ</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:
+\[
+\Delta P_{\chi} =
+\tau_{\chi}^{\mathrm{actual}} -
+\tau_{\chi}^{(\mathrm{stochastically\ symmetric})}
+\]
+-->
+* 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) ==
@@ Line 90: / Line 197: @@
 === 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>M</sub> = 𝓒(ΔP<sub>A</sub>) = 0</span><!--/no latex--><!--latex:
-<!--no latex--><span class="tex">𝓒<sub>A</sub> = 𝓒(ΔP<sub>n</sub>) = 0</span><!--/no latex--><!--latex:\[\mathcal{C}_{A} = \mathcal{C}(\Delta P_{n}) = 0\]-->
+\[
+\mathcal{C}_{M} = \mathcal{C}(\Delta P_{A}) = 0
+\]
-<!--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:\[\mathcal{C}_{B} = \mathcal{C}(\Delta P_{u}) = 0\]-->
+<!--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:\[\Phi_{M},\;\Phi_{A},\;\Phi_{E},\;\Phi_{B} \in \mathrm{Sol}(\mathcal{C})\]-->
+<!--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:
+\[
+\Phi_{M},\;\Phi_{A},\;\Phi_{E},\;\Phi_{B} \in \mathrm{Sol}(\mathcal{C})
+\]
+-->
 == InfoStructures ==
@@ Line 108: / Line 245: @@
 ==== Derived from ====
-<!--no latex--><span class="tex">ΔP<sub>n</sub>, ΔP<sub>u</sub></span><!--/no latex--><!--latex:\[\Delta P_{n},\;\Delta P_{u}\]-->
+<!--no latex--><span class="tex">ΔP<sub>n</sub>, ΔP<sub>u</sub></span><!--/no latex--><!--latex:
+\[
+\Delta P_{n},\;\Delta P_{u}
+\]
+-->
 ==== Equilibrium condition ====
-<!--no latex--><span class="tex">𝓒<sub>wave</sub>(ΔP<sub>n</sub>, ΔP<sub>u</sub>) = 0</span><!--/no latex--><!--latex:\[\mathcal{C}_{wave}(\Delta P_{n},\,\Delta P_{u}) = 0\]-->
+<!--no latex--><span class="tex">𝓒<sub>wave</sub>(ΔP<sub>n</sub>, ΔP<sub>u</sub>) = 0</span><!--/no latex--><!--latex:
+\[
+\mathcal{C}_{wave}(\Delta P_{n},\,\Delta P_{u}) = 0
+\]
+-->
 ==== Proto‑wave equation ====
-<!--no latex--><span class="tex">𝓦[Ψ; ΔP<sub>n</sub>, ΔP<sub>u</sub>] = 0</span><!--/no latex--><!--latex:\[\mathcal{W}[\Psi;\,\Delta P_{n},\,\Delta P_{u}] = 0\]-->
+<!--no latex--><span class="tex">𝓦[Ψ; ΔP<sub>n</sub>, ΔP<sub>u</sub>] = 0</span><!--/no latex--><!--latex:
+\[
+\mathcal{W}[\Psi;\,\Delta P_{n},\,\Delta P_{u}] = 0
+\]
+-->
 === Vortex‑like InfoStructures ===
@@ Line 122: / Line 277: @@
 ==== Derived from ====
-<!--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:\[\Delta P_{A},\;\Delta P_{n},\;\Delta P_{\chi},\;\Delta P_{u}\]-->
+<!--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 ====
-<!--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:\[\mathcal{C}_{vortex}(\Delta P_{A},\,\Delta P_{n},\,\Delta P_{\chi},\,\Delta P_{u}) = 0\]-->
+<!--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 ====
-<!--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:\[\mathcal{V}[\Xi;\,\Delta P_{A},\,\Delta P_{n},\,\Delta P_{\chi},\,\Delta P_{u}] = 0\]-->
+<!--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:
+\[
+\mathcal{V}[\Xi;\,\Delta P_{A},\,\Delta P_{n},\,\Delta P_{\chi},\,\Delta P_{u}] = 0
+\]
+-->
 === Interaction‑mediating InfoStructures ===
@@ Line 136: / Line 309: @@
 ==== Relational equilibrium ====
-<!--no latex--><span class="tex">𝓒<sub>int</sub>(Ψ, Ξ) = 0</span><!--/no latex--><!--latex:\[
+<!--no latex--><span class="tex">𝓒<sub>int</sub>(Ψ, Ξ) = 0</span><!--/no latex--><!--latex:
-\mathcal{C}_{int}(\Psi,\,\Xi) = 0\]-->
+\[
+\mathcal{C}_{int}(\Psi,\,\Xi) = 0
+\]
+-->
 ==== Proto‑interaction equation ====
-<!--no latex--><span class="tex">𝓘[Ψ, Ξ] = 0</span><!--/no latex--><!--latex:\[\mathcal{I}[\Psi,\,\Xi] = 0\]-->
+<!--no latex--><span class="tex">𝓘[Ψ, Ξ] = 0</span><!--/no latex--><!--latex:
+\[
+\mathcal{I}[\Psi,\,\Xi] = 0
+\]
+-->
 == Geometric Projection ==
@@ Line 148: / Line 332: @@
 <!--no latex--><span class="tex">Proj(𝓦) → QM wave equations</span><!--/no latex--><!--latex:
-\[\mathrm{Proj}(\mathcal{W}) \;\longrightarrow\; \text{QM wave equations}\]-->
+\[
+\mathrm{Proj}(\mathcal{W}) \longrightarrow \text{QM wave equations}
+\]
+-->
 === Vortex projection ===
-<!--no latex--><span class="tex">Proj(𝓥) → spinor equations</span><!--/no latex--><!--latex:\[
+<!--no latex--><span class="tex">Proj(𝓥) → spinor equations</span><!--/no latex--><!--latex:
-\mathrm{Proj}(\mathcal{V}) \;\longrightarrow\; \text{spinor equations}\]-->
+\[
+\mathrm{Proj}(\mathcal{V}) \longrightarrow \text{spinor equations}
+\]
+-->
 === Interaction projection ===
-<!--no latex--><span class="tex">Proj(𝓘) → gauge equations</span><!--/no latex--><!--latex:\[
+<!--no latex--><span class="tex">Proj(𝓘) → gauge equations</span><!--/no latex--><!--latex:
-\mathrm{Proj}(\mathcal{I}) \;\longrightarrow\; \text{gauge equations}\]-->
+\[
+\mathrm{Proj}(\mathcal{I}) \longrightarrow \text{gauge equations}
+\]
+-->
 == Forms ==
 No new fundamental equation

Difference between revisions of "Paper Symbols"

Revision as of 21:16, 13 July 2026

Contents

The Primary Source of Reality

Fundamental Force (FF)

Elementary Field (EF)

Structure of resistances

Resistance parameters

Operational hypotheses (to be refined)

Event-point(s) (EP)

Elementary Events (EE)

Response of the Field

Decomposition

Instantaneous configuration

Statistical configuration

Elementary Action

Modes / Components

Information / Energy (Potentials Φ)

Equilibrium conditions

Diffuse solutions

InfoStructures

Wave‑like InfoStructures

Derived from

Equilibrium condition

Proto‑wave equation

Vortex‑like InfoStructures

Derived from

Equilibrium condition

Proto‑vortex equation

Interaction‑mediating InfoStructures

Relational equilibrium

Proto‑interaction equation

Geometric Projection

Wave projection

Vortex projection

Interaction projection

Forms

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