Free action reconstructed from ASD momentum and energy

Uses the same physical variables and dEf=v·dp as Chapter 2, rather than assuming a relativistic action.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 3

L_0=\mathbf p\cdot\mathbf v-E_f=-\frac{m_0c^2}{\gamma},\quad\frac{\partial L_0}{\partial v_i}=m_0\gamma v_i

Uses the same physical variables and dEf=v·dp as Chapter 2, rather than assuming a relativistic action.
Chapter reference: Final collected manuscript · Chapter 3, equations (3.20a), (3.20c) · ASD-BOOK-ddbade997b45

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ASD-WEB-EM-020 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 (3.20a), (3.20c)

Uses the same physical variables and dEf=v·dp as Chapter 2, rather than assuming a relativistic action.

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: p0999 · p1002 · p1006 · p1013 · p1031 · p1033 · p1036 · p1038 · p1065 · p1128 · p1282 · 最终合订稿 · 第三章式 (3.20a)、(3.20c)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

EM-f06476f55cae · 第三章 / Chapter 3 · (3.20a)–(3.20c), PDF pp. 6–7

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