fig. 0 — photon · modon · light‑fluid

Anatomy of a Photon

A counter‑rotating vortex dipole in the dc1/dag superfluid — self‑propelling through the medium at its intrinsic speed c, carrying the full energy E = hν with no net mass transport.

Photon as a Larichev–Reznik modon Cross‑section showing two counter‑rotating vortex cores bound inside the coherence radius xi, with interior Bessel J1 streamlines, exterior K1 exponential decay, and a propagation arrow marked c. chirality cool · CCW · + chirality warm · CW · − chirality coherence radius r = ξ ≈ 110 μm (width of a human hair) interior streamfunction ψ ∼ J₁(pr) oscillatory · bessel of the first kind exterior streamfunction ψ ∼ K₁(qr) exponential decay · no energy lost propagates at c = ℏ / (m₁ ξ) set by the medium, not by geometry energy E = hν matching constant K = j₁₁² + 1 = 15.67 J₁ ↔ K₁ match at r = ξ substrate deforms flows past · returns zero net transfer 2 ξ diameter of the coherence envelope · ≈ 220 μm

Two counter‑rotating vortex cores — cool (counter‑clockwise, + chirality) and warm (clockwise, − chirality) — sit inside the coherence boundary at r = ξ. Each advects the other forward: the modon pulls itself through the medium. Mass flow cancels; energy and momentum do not. The substrate outside deforms and recovers — no dissipation, no wake. Not a wave on a medium. A coherent, solitonic excitation of it.