Low-speed comparison of total and magnetic forces

The same leading magnetic coefficient does not imply the same total force; observables must first be aligned.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 3

\frac{F_T}{F_0}=1-\beta^2,\quad\frac{F_\perp^{\rm SR}}{F_0}=1-\frac{\beta^2}{2}+O(\beta^4),\quad\gamma\beta^2=\beta^2+O(\beta^4)

The same leading magnetic coefficient does not imply the same total force; observables must first be aligned.
Chapter reference: Final collected manuscript · Chapter 3, equations (3.10), (3.9) · ASD-BOOK-ddbade997b45

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Final collected manuscript · Chapter 3, equations (3.10), (3.9)

The same leading magnetic coefficient does not imply the same total force; observables must first be aligned.

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 (3.10)、(3.9)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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EM-f06476f55cae · 第三章 / Chapter 3 · (3.10) and (3.9), PDF p. 4

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