Physical interpretation of mixed-plane torsion

Determine the physical meaning of the torsion carried by the canonical connection on mixed boost–anisotropy planes.

Background

The canonical connection separates boost and anisotropy directions in the space of effective acoustic media. Its rotational curvature is confined to noncommuting anisotropy directions, while mixed boost–anisotropy planes carry torsion. The paper derives this torsion algebraically but does not associate it with a physical mechanism or observable in aeroacoustic modelling, explicitly identifying its interpretation as unresolved.

References

The torsion on mixed planes has, at present, no physical interpretation; we flag it as an open structural question rather than suppress it.

— A transport geometry of acoustic analogies:exact holonomy of source re-attribution and its observable consequences  (2608.12031 - Sharma, 12 Aug 2026) in Remark “what is standard and what is new,” Section 4.2; reiterated as problem (3) in Section 7.3