EQUATION REGISTRY

Paths and elapsed times of two measurements

The same c is used in each measurement. The primed object, endpoints and propagation direction must be specified together with its configuration.

Theory · FOUNDATIONEquation version 1.0.0

Based on the final manuscript · Chapter 1

ASD-WEB-LVE-004
r=xi+yj+zk,r=ctr′=x′i+y′j+z′k,r′=ct′\begin{aligned}\mathbf r&=x\mathbf i+y\mathbf j+z\mathbf k,&r&=ct\\\mathbf r^{\prime}&=x^{\prime}\mathbf i+y^{\prime}\mathbf j+z^{\prime}\mathbf k,&r^{\prime}&=ct^{\prime}\end{aligned}

The same c is used in each measurement. The primed object, endpoints and propagation direction must be specified together with its configuration.
Chapter reference: Final consolidated manuscript · Chapter 1, Section II, Eqs. (1.3)–(1.6) · ASD-BOOK-ddbade997b45

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Adopted source, conditions and previous versions

Final consolidated manuscript · Chapter 1, Section II, Eqs. (1.3)–(1.6)

The same c is used in each measurement. The primed object, endpoints and propagation direction must be specified together with its configuration.

Conditions retained in this adoption

  • A1–A5; tt′≠0; 0≤v<c
  • Directed effective length is not an arbitrary Euclidean vector norm

Specific unresolved source issues

  • FINAL-CH1-PAIRING

Source locators: p0321 · p0322 · p0324 · p0325

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

CH1-caf38018fc5a · 第一章 §二,式(1.3)–(1.6),PDF 第 5 页

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