Lorentz contraction is the unique boundary deformation that makes round-trip phase independent of angle in a moving spherical-harmonic cavity, yielding time dilation from the same phase-closure condition.
The transverse scale conventiona ⊥ =R 0 is an ad- ditional physical input, justified by the isotropy of the transverse medium plane (Sec
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Lorentz-FitzGerald Contraction as the Unique Closure Condition for Moving Spherical-Harmonic Cavities
Lorentz contraction is the unique boundary deformation that makes round-trip phase independent of angle in a moving spherical-harmonic cavity, yielding time dilation from the same phase-closure condition.