EQUATION REGISTRY

Rotational collective coordinate

A stable Q0 is needed before computing inertia; A lifts spatial rotations and must not be identified with the internal Q field.

Theory · CANDIDATE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 4

ASD-WEB-MAT-013
QR(x,t)=Q0(R−1(t)x),A∈SU(2),A↦R∈SO(3),Lrot=12ΛabΩaΩbQ_R(\mathbf x,t)=Q_0(R^{-1}(t)\mathbf x),\quad A\in SU(2),\quad A\mapsto R\in SO(3),\quad L_{\rm rot}=\tfrac12\Lambda_{ab}\Omega_a\Omega_b

A stable Q0 is needed before computing inertia; A lifts spatial rotations and must not be identified with the internal Q field.
Chapter reference: Ch. 4 (4.30)–(4.31) · ASD-BOOK-ddbade997b45

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Ch. 4 (4.30)–(4.31)

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  • A stable Q0 is needed before computing inertia; A lifts spatial rotations and must not be identified with the internal Q field.

Source locators: p1398–p1402

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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MAT-d1034a344d58 · Ch. 4 (4.30)–(4.31)

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