Quadratic transverse spatial action

Homogeneous long-wavelength weak-perturbation sector; positive coefficients and compatible boundaries are inputs.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 3

\mathcal L_T^{(2)}=\frac{\rho_s}{2}|\partial_t\mathbf u_T|^2-\frac{K_T}{2}|\nabla\times\mathbf u_T|^2,\quad\nabla\cdot\mathbf u_T=0

Homogeneous long-wavelength weak-perturbation sector; positive coefficients and compatible boundaries are inputs.
Chapter reference: Final collected manuscript · Chapter 3, equations (3.44) · ASD-BOOK-ddbade997b45

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Final collected manuscript · Chapter 3, equations (3.44)

Homogeneous long-wavelength weak-perturbation sector; positive coefficients and compatible boundaries are inputs.

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: p1108 · p1111 · p1113 · p1115 · p1124 · p1126 · p1128 · p1131 · p1133 · p1143 · p1145 · p1148 · p1150 · p1159 · p1173 · p1184 · p1189 · p1191 · p1194 · p1200 · p1204 · p1208 · p1210 · p1216 · p1218 · p1224 · p1227 · p1229 · p1232 · p1235 · p1282 · p1283 · 最终合订稿 · 第三章式 (3.44)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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EM-f06476f55cae · 第三章 / Chapter 3 · (3.44), PDF p. 11

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