Elapsed time along the measurement direction
φ is the angle between observer relative velocity and the specified propagation or measurement direction. This projection result is not a general coordinate-time transformation without a synchronization rule.
Based on the final manuscript · Chapter 1
φ is the angle between observer relative velocity and the specified propagation or measurement direction. This projection result is not a general coordinate-time transformation without a synchronization rule.
Chapter reference: Final consolidated manuscript · Chapter 1, Section II, Eqs. (1.11)–(1.12) · ASD-BOOK-ddbade997b45
Source and ID
ASD-WEB-LVE-007 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.
Return to premises and derivationAdopted source, conditions and previous versions
Final consolidated manuscript · Chapter 1, Section II, Eqs. (1.11)–(1.12)
φ is the angle between observer relative velocity and the specified propagation or measurement direction. This projection result is not a general coordinate-time transformation without a synchronization rule.
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: p0339 · p0343 · p0345
Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e
Download source identity manifest
The manifest identifies the source; it is not the complete manuscript. Adopting this source does not upgrade evidence or grant a new licence.
Previous source, retained as history
CH1-caf38018fc5a · 第一章 §二，式（1.11）–（1.12），PDF 第 6 页
Dependencies
inputDirectional measurement relation for light propagationASD-WEB-LVE-003algebraMotion scale factorASD-WEB-LVE-006Uses of this equation
Subsequent equationLength Vector Effect in a general directionASD-WEB-LVE-008Subsequent equationLongitudinal round-trip time in the equal-arm modelASD-WEB-LVE-012Subsequent equationDirectional elapsed-time difference in the rotating loopASD-WEB-LVE-015DocumentLength Vector Effect · Full Derivation