Transverse true interaction distance

Common parallel velocity and transverse separation; velocity is relative to the local homogeneous background.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 3

r_T=\gamma r,\qquad \gamma=(1-\beta^2)^{-1/2}

Common parallel velocity and transverse separation; velocity is relative to the local homogeneous background.
Chapter reference: Final collected manuscript · Chapter 3, equations (3.1), (3.2) · ASD-BOOK-ddbade997b45

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ASD-WEB-EM-002 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

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Final collected manuscript · Chapter 3, equations (3.1), (3.2)

Common parallel velocity and transverse separation; velocity is relative to the local homogeneous background.

Conditions retained in this adoption

Special two-body result: uniform exterior background, equal parallel velocities, transverse separation and virtual displacement at fixed velocity.
Free Maxwell representation: long waves, weak perturbations, transverse constraint, constant coefficients and normalization.
Minimal-coupling sources: macroscopic coarse graining, low-speed point sources or a low-frequency near zone; high-speed closed sources require separate construction.

Specific unresolved source issues

Local results do not automatically close high-speed topological sources, full instrument mapping or global directed propagation.

Source locators: p0961 · p0964 · p0968 · p0970 · p0973 · p0975 · p0984 · p0990 · p0993 · p1281 · p1282 · 最终合订稿 · 第三章式 (3.1)、(3.2)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

EM-f06476f55cae · 第三章 / Chapter 3 · (3.1)–(3.2), PDF p. 2

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