EQUATION REGISTRY

Motion scale factor

The positive root is taken under the manuscript’s forward/reverse pairing and normalization conditions; 0 ≤ v < c. Geometric sufficiency of the normalization remains under formal review.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 1

ASD-WEB-LVE-006
γ(v)=11−v2/c2=11−β2,β=vc\gamma(v)=\frac{1}{\sqrt{1-v^2/c^2}}=\frac{1}{\sqrt{1-\beta^2}},\qquad\beta=\frac vc

The positive root is taken under the manuscript’s forward/reverse pairing and normalization conditions; 0 ≤ v < c. Geometric sufficiency of the normalization remains under formal review.
Chapter reference: Final consolidated manuscript · Chapter 1, Section II, Eq. (1.10) · ASD-BOOK-ddbade997b45

Source and ID

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Adopted source, conditions and previous versions

Final consolidated manuscript · Chapter 1, Section II, Eq. (1.10)

The positive root is taken under the manuscript’s forward/reverse pairing and normalization conditions; 0 ≤ v < c. Geometric sufficiency of the normalization remains under formal review.

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: p0333 · p0335 · p0337

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

CH1-caf38018fc5a · 第一章 §二,式(1.10),PDF 第 6 页

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