EQUATION REGISTRY

Numerical example in the manuscript’s muon discussion

Website algebraic expansion of Eqs. (1.45)–(1.46); the final manuscript gives approximately 20323 m. Inputs are illustrative approximations; extra digits check arithmetic, not experimental precision or a survival fit.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 1

ASD-WEB-LVE-018
L=L′1+β1−β=6431.9980.002 m=643999 m=1929111 m≈20323.276089 m≈20323.3 m\begin{aligned}L&=L^{\prime}\sqrt{\frac{1+\beta}{1-\beta}}=643\sqrt{\frac{1.998}{0.002}}\,\mathrm m\\&=643\sqrt{999}\,\mathrm m=1929\sqrt{111}\,\mathrm m\approx20323.276089\,\mathrm m\approx20323.3\,\mathrm m\end{aligned}

Website algebraic expansion of Eqs. (1.45)–(1.46); the final manuscript gives approximately 20323 m. Inputs are illustrative approximations; extra digits check arithmetic, not experimental precision or a survival fit.
Chapter reference: Final consolidated manuscript · Chapter 1, Section 3.6, Eq. (1.46) · ASD-BOOK-ddbade997b45

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Final consolidated manuscript · Chapter 1, Section 3.6, Eq. (1.46)

Website algebraic expansion of Eqs. (1.45)–(1.46); the final manuscript gives approximately 20323 m. Inputs are illustrative approximations; extra digits check arithmetic, not experimental precision or a survival fit.

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: p0494 · p0495 · p0496

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

CH1-caf38018fc5a · 第一章 §3.6,式(1.46),PDF 第 19 页

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