Directional elapsed-time difference in the rotating loop

This section describes motion of the object and uses the corresponding angle convention. Signs from the observer-motion description cannot be transferred automatically.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 1

ASD-WEB-LVE-015

\begin{aligned}t_{\mathrm{rev}}^{\prime}&=t\gamma(1-\beta),&t_{\mathrm{co}}^{\prime}&=t\gamma(1+\beta)\\\Delta t&=t_{\mathrm{co}}^{\prime}-t_{\mathrm{rev}}^{\prime}=2t\beta\gamma\end{aligned}

This section describes motion of the object and uses the corresponding angle convention. Signs from the observer-motion description cannot be transferred automatically.
Chapter reference: Final consolidated manuscript · Chapter 1, Section 3.5, Eqs. (1.36)–(1.38) · ASD-BOOK-ddbade997b45

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Final consolidated manuscript · Chapter 1, Section 3.5, Eqs. (1.36)–(1.38)

This section describes motion of the object and uses the corresponding angle convention. Signs from the observer-motion description cannot be transferred automatically.

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: p0470 · p0471 · p0473

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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CH1-caf38018fc5a · 第一章 §3.5，式（1.36）–（1.38），PDF 第 18 页

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