Exact equal-link scalar dispersion

Theory · CANDIDATE MODELEquation version 1.0.0

Based on the final manuscript · Chapters 4 and 5

\omega^2=4\Gamma_0\left[3-\cos\tfrac{a_0k_x}{2}\cos\tfrac{a_0k_y}{2}-\cos\tfrac{a_0k_x}{2}\cos\tfrac{a_0k_z}{2}-\cos\tfrac{a_0k_y}{2}\cos\tfrac{a_0k_z}{2}\right]

Equal-link scalar/selected-polarization channel, Γ₀>0 and c²=Γ₀a₀². Uses the full cosine spectrum (5.1.11)/(4.12); the printed half-angle coefficient preceding (5.1.12) is 2 rather than the equivalent 4, recorded locally.
Chapter reference: Ch. 4 (4.12)–(4.13); Ch. 5 (5.1.11); coefficient discrepancy preceding (5.1.12) · ASD-BOOK-ddbade997b45

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Adopted source, conditions and previous versions

Ch. 4 (4.12)–(4.13); Ch. 5 (5.1.11); coefficient discrepancy preceding (5.1.12)

Registered formula checked individually against the final manuscript; source-grounded scope note synchronized

Conditions retained in this adoption

Equal-link scalar/selected-polarization channel, Γ₀>0 and c²=Γ₀a₀². Uses the full cosine spectrum (5.1.11)/(4.12); the printed half-angle coefficient preceding (5.1.12) is 2 rather than the equivalent 4, recorded locally.

Specific unresolved source issues

SD-FORMULA-5.1.12

Source locators: p1336 · p1770–1774

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

SD-51779505a476 · Ch. 5 (5.1.11)

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