EQUATION REGISTRY

Topological current of the candidate orientation field

x⁰=ct and ε⁰¹²³=+1; target orientation follows the manuscript. The identity requires smooth Q and fixed far boundary.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapters 4 and 5

ASD-WEB-MAT-004
Bμ=ϵμνρσ24π2Tr⁡(LνLρLσ),Lμ=Q−1∂μQ,∂μBμ=0,NQ=∫B0 d3x∈ZB^\mu=\frac{\epsilon^{\mu\nu\rho\sigma}}{24\pi^2}\operatorname{Tr}(L_\nu L_\rho L_\sigma),\quad L_\mu=Q^{-1}\partial_\mu Q,\quad\partial_\mu B^\mu=0,\quad N_Q=\int B^0\,d^3x\in\mathbb Z

x⁰=ct and ε⁰¹²³=+1; target orientation follows the manuscript. The identity requires smooth Q and fixed far boundary.
Chapter reference: Ch. 4 (4.25)–(4.26) · ASD-BOOK-ddbade997b45

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Ch. 4 (4.25)–(4.26)

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  • x⁰=ct and ε⁰¹²³=+1; target orientation follows the manuscript. The identity requires smooth Q and fixed far boundary.

Source locators: p1384–p1388

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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MAT-d1034a344d58 · Ch. 4 (4.25)–(4.26)

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