Components for motion along x

Set v = (v,0,0) and expand the manuscript’s vector construction. The transverse components retain γ and must not be replaced by standard Lorentz transverse-coordinate relations.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 1

ASD-WEB-LVE-009

\begin{aligned}x^{\prime}&=\gamma(x-vt)\\y^{\prime}&=\gamma y\\z^{\prime}&=\gamma z\end{aligned}

Set v = (v,0,0) and expand the manuscript’s vector construction. The transverse components retain γ and must not be replaced by standard Lorentz transverse-coordinate relations.
Chapter reference: Final consolidated manuscript · Chapter 1, Section II, Eqs. (1.15)–(1.18) · ASD-BOOK-ddbade997b45

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Final consolidated manuscript · Chapter 1, Section II, Eqs. (1.15)–(1.18)

Set v = (v,0,0) and expand the manuscript’s vector construction. The transverse components retain γ and must not be replaced by standard Lorentz transverse-coordinate relations.

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

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FINAL-CH1-PAIRING

Source locators: p0354 · p0356 · p0357 · p0358

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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CH1-caf38018fc5a · 第一章 §二，式（1.15）–（1.18），PDF 第 7 页

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