EQUATION REGISTRY

Simplified optical-path balance in a medium

This is the manuscript’s optical-path model. Its correspondence to individual paths and phases in Hoek’s original apparatus requires review.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 1

ASD-WEB-LVE-014
Lopt=nL,Lopt′=nLγ(1−βcos⁡ϕ)t1′=nLcγ(1−β),t2′=nLcγ(1+β)T′=2nLγc\begin{aligned}L_{\mathrm{opt}}&=nL,\quad L_{\mathrm{opt}}^{\prime}=nL\gamma(1-\beta\cos\phi)\\t_1^{\prime}&=\frac{nL}{c}\gamma(1-\beta),\quad t_2^{\prime}=\frac{nL}{c}\gamma(1+\beta)\\T^{\prime}&=\frac{2nL\gamma}{c}\end{aligned}

This is the manuscript’s optical-path model. Its correspondence to individual paths and phases in Hoek’s original apparatus requires review.
Chapter reference: Final consolidated manuscript · Chapter 1, Section 3.3, Eqs. (1.31)–(1.35) · ASD-BOOK-ddbade997b45

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Adopted source, conditions and previous versions

Final consolidated manuscript · Chapter 1, Section 3.3, Eqs. (1.31)–(1.35)

This is the manuscript’s optical-path model. Its correspondence to individual paths and phases in Hoek’s original apparatus requires review.

Conditions retained in this adoption

  • Apparatus, direction and counting conditions remain with each entry
  • Muon inputs are illustrative approximations, not a complete survival fit

Specific unresolved source issues

  • FINAL-CH1-FIZEAU-DIMENSION
  • FINAL-CH1-MUON-OBSERVABLE
  • FINAL-CH1-CLOCK-PROTOCOL

Source locators: p0442 · p0444 · p0447 · p0449 · p0451

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

CH1-caf38018fc5a · 第一章 §3.3,式(1.31)–(1.35),PDF 第 15–16 页

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