Time derivative of momentum

Product differentiation at fixed m₀.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 2

\mathbf F=m_0(\gamma\mathbf a+\dot\gamma\mathbf v),\qquad\mathbf a=\frac{\mathrm d\mathbf v}{\mathrm dt}

Product differentiation at fixed m₀.
Chapter reference: Final collected manuscript · Chapter 2 §III.3 (2.16) · ASD-BOOK-ddbade997b45

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Final collected manuscript · Chapter 2 §III.3 (2.16)

Product differentiation at fixed m₀.

Conditions retained in this adoption

Uniform background, fixed internal state, 0≤v<c and no net radiation.
The LVE directional law and inertial angular weight are separate inputs.
m₀=C_m m_def; adopt C_m=1 and universal mass normalization.

Specific unresolved source issues

The microscopic core profile, inertial weight and four mass responses still require one common structural solution.

Source locators: p0637 · p0643 · p0647 · p0649 · p0650 · p0658 · p0936 · 最终合订稿 · 第二章 §三.3 (2.16)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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FND-3dde8d8e081d · 第二章 §三，(2.16), PDF p. 8

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