The GTE Polynomial as Unified Field Theory: One 19-Bit Description for Spatial Dynamics, Gauge Coupling, Gravity, Entanglement, and Baryon Number

A single polynomial p (L, C, R) = C + R - CR - LCR 7, requiring KCMCA = 19 bits to specify, simultaneously generates five fundamental physical structures: Rule 110 Turing universality (), Standard Model gauge vertex conservation via winding arithmetic (), gravitational coupling via the Poisson equation ² = Gₑff\, p (wₓ, wᵧ, wᵦ) (), quantum entanglement with CHSH parameter S = 2. 4459 (86. 5\% of the Tsirelson bound, ), and the Born rule from Page-Wootters analysis (). The additional specification cost for each role beyond the first is exactly zero. From the same 19-bit description applied to the three-tape architecture (SpivackThreeTapeCMCA): (i) color confinement as an MDL theorem (description-length gap K 3. 17 bits) ; (ii) Nc = 3 from the tape count alone; (iii) baryon number B = 13ⱼ q (wⱼ) as a topological charge; (iv) SM fermion/boson split from the non-primitive roots of ; and (v) lepton-W universality from shared winding sectors. The PMDL variational principle yields gravity as local MDL minimization; the halting-weighted MDL residual from PSC undecidability gives the cosmological constant, whose census-capacity evaluation is the zero-parameter value = 0. 6899 (+0. 18 from Planck 2018). Gravity and the floor are the record and measure sectors of one Gaussian generating functional ZJ. The vacuum w = 0 is the unique fixed point of p (x, x, x) x 7, establishing vacuum stability from first principles. All foundational results are machine-certified in Lean 4 with zero sorry.