Directional inertial response

Resolve acceleration parallel and perpendicular to velocity; this does not introduce two rest masses.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 2

\begin{aligned}\mathbf F&=m_0\left[\gamma\mathbf I+\frac{\gamma^3}{c^2}\mathbf v\mathbf v^{\mathsf T}\right]\mathbf a\\&=m_0\gamma^3\mathbf a_\parallel+m_0\gamma\mathbf a_\perp.\end{aligned}

Resolve acceleration parallel and perpendicular to velocity; this does not introduce two rest masses.
Chapter reference: Final collected manuscript · Chapter 2 §III.3 (2.18) · ASD-BOOK-ddbade997b45

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Final collected manuscript · Chapter 2 §III.3 (2.18)

Resolve acceleration parallel and perpendicular to velocity; this does not introduce two rest masses.

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 (2.18)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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FND-3dde8d8e081d · 第二章 §三，(2.18), PDF p. 8

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