EQUATION REGISTRY

Constant-speed process and co-directional length

T = L/v describes a process at constant speed in a specified direction. Decay statistics and the correspondence between path and observational frame must still be supplied.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 1

ASD-WEB-LVE-017
T=Lv,L′=Lγ(1−β)=L1−β1+βT=\frac Lv,\qquad L^{\prime}=L\gamma(1-\beta)=L\sqrt{\frac{1-\beta}{1+\beta}}

T = L/v describes a process at constant speed in a specified direction. Decay statistics and the correspondence between path and observational frame must still be supplied.
Chapter reference: Final consolidated manuscript · Chapter 1, Section 3.6, Eqs. (1.44)–(1.45) · ASD-BOOK-ddbade997b45

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Adopted source, conditions and previous versions

Final consolidated manuscript · Chapter 1, Section 3.6, Eqs. (1.44)–(1.45)

T = L/v describes a process at constant speed in a specified direction. Decay statistics and the correspondence between path and observational frame must still be 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: p0491 · p0494

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

CH1-caf38018fc5a · 第一章 §3.6,式(1.44)–(1.45),PDF 第 19 页

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