The Single-Letter Ladder of Magnetic Field, Electric Field, and Photon — The Neutral Self-Conjugate Sector of the Wavon Lattice and Its Physical Consequences

Abstract. The basic unit of wavon mechanics (WM) is not the quantum but the wavon — aPlanck-scale object formed when a wave winds upon itself and closes — and three wavonsbound by a rule correspond to one quantum, the basic unit of quantum mechanics (§1).Naming the three kinds of wavon a, b, c and assigning charges q(a) = 0, q(b) = +1, q(c) =−1, the 39 letter strings (words) of length at most three carry a complex number L = Σjq(tj)ωj (ω = e2πi/3, the lean), from which charge Q = (2/3)·Re L, weight |L|2, depth Σ = Σj q(tj),and charge conjugation C: b↔c are defined. The paper shows: (Theorem 1) the threerequirements on a field quantum — neutrality (Q = 0), no additive conserved charge (Σ = 0),self-conjugacy (Cw = w) — are met, across all layers, by exactly the seats {a, aa, aaa}, whichis the lattice counterpart of electromagnetism being an abelian U(1) sector. (Theorem 2) Thethree-letter seats of zero weight are exactly aaa, bbb, ccc; hence, once the photon isassigned to aaa, its masslessness is a theorem and not an assignment. (Theorem 3) The a-sector carries no charge at any occupation number, so the magnetic monopole is not merelyunobserved but structurally forbidden. A field is defined as a region in which wavons are laiddown: where a is laid there is a magnetic field, where aa is laid an electric field, where aaa aphoton field, and where all letters lie together a particle field (§1.3). On this the assignment[hypothesis] is placed — a (one meridian) = the quantum of the magnetic field, aa (twomeridians) = the seat of the electric field, aaa (three meridians) = the photon — and readingthe three seats as meridians of a single sphere gives two further theorems: (Theorem 4) withtwo meridians coupled at the poles there is no circulating mode and the relative phase isfree, while with three there is one symmetric mode and a degenerate pair of 120° circulatingmodes — two polarizations and the absence of a longitudinal one; (Theorem 5) the degrees offreedom of a two-meridian state are two amplitudes and one relative phase, exactly whatcircuit measurements require. Agreement with the measured facts of standardelectromagnetism (bounds on the photon's mass and charge, non-observation of monopoles,Poynting energy flow, the skin effect, the photoelectric threshold, the isotropy of light speed,the cosmic microwave background dipole) is adjudicated item by item. For the speed of lightthe paper registers the reading that the photon rests at the background coordinate where itwas born and that c is the propagation rate of the background, while stating that thisreading is observationally equivalent to special relativity and yields no new prediction. Fourfalsification clauses are registered — falsification of the lattice, observation of a magneticmonopole, derivation of a linear dispersion term, and destruction of the degeneracy of thecirculating modes — and every agreement with verified physics is classified as reproduction.There is no score. No prior-work section is kept: mathematics used is cited as a tool,measurements used as borrowings, each with its source only.