EQUATION REGISTRY

Ideal transported-clock relation in the manuscript

An idealized manuscript expression omitting gravity and Earth rotation. Actual clock trajectories, synchronization and a total clock-difference calculation have not been supplied.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 1

ASD-WEB-LVE-019
T′T=1−β1+β\frac{T^{\prime}}T=\sqrt{\frac{1-\beta}{1+\beta}}

An idealized manuscript expression omitting gravity and Earth rotation. Actual clock trajectories, synchronization and a total clock-difference calculation have not been supplied.
Chapter reference: Final consolidated manuscript · Chapter 1, Section 3.6, Eq. (1.47) · ASD-BOOK-ddbade997b45

Source and ID

ASD-WEB-LVE-019 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

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Adopted source, conditions and previous versions

Final consolidated manuscript · Chapter 1, Section 3.6, Eq. (1.47)

An idealized manuscript expression omitting gravity and Earth rotation. Actual clock trajectories, synchronization and a total clock-difference calculation have not been supplied.

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: p0499 · p0500

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

CH1-caf38018fc5a · 第一章 §3.6,式(1.47),PDF 第 20 页

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