Discrete Topological Torsion Theory (DTTT) is a programme that derives the dimensionless parameters of the Standard Model from a single substrate postulate together with one dimensional input. The substrate is a Cosserat micropolar elastic vacuum carrying independent translational and rotational degrees of freedom, with Poisson ratio ν=1/3 fixed by two impossibility theorems (the G-pair and Born-Huang Cauchy-Cosserat results). The ambient is the projective three-sphere RP3 and the proton is identified with the trefoil knot T(2,3) via four convergent classical-theorem routes. The sole dimensional input is the W-boson mass. The headline numerical result is the closed-form prediction α−1=4π3+π2+π=137.036303776, which agrees with the 2018 CODATA value of α−1 at 2.22 parts per million at tree level, and matches to 0.39 parts per billion after one-loop Dyson-Schwinger resummation. The present paper synthesizes substrate, topology, and operator-algebra derivations drawn from a corpus of fifteen standalone companion manuscripts, all cited by Zenodo DOΙ in the bibliography. The same framework also yields a derivation of SO(3,1) Lorentz invariance from Bateman-Cunningham conformal closure of □φ=0, an exact Pythagorean velocity budget vspatial2+vphase2=c2 in the soliton sector, three fermion generations from a Callias index argument, and a second-law arrow of time from the irreversibility of the operator-algebra CUT. Reference-class disclosure: the numerical target α−1=4π3+π2+π has been reached by independent routes, including Wyler (1971), Bailey-Ferguson (1989), and an independent contemporaneous derivation by Ahmadov (2026).The contribution of DTTT is the substrate-ontological derivation chain and the placement of the formula within a quantitative Standard-Model-coverage programme, not the numerical novelty. A single load-bearing open assumption (denoted Lemma SHC residue R-1, PDE-analytic and concerning essential self-adjointness of the Cosserat Laplacian on the trefoil complement with APS boundary conditions) remains open at filing date; the α−1 derivation is presented as a candidate result contingent on its closure. Multiple falsification criteria are pre-registered, with explicit numerical thresholds, in the body of the paper.
Aaditya Bhatt (Mon,) studied this question.