Results, with their exact scope.

Original ledger status

EM.FP.01

EM.FP.01

alpha^-1 = 137.0359992168 unique root of F_U1=0 (existence + uniqueness + interval-arithmetic + ablation)

Recorded status: Numerical

Original ledger status

SM.RG.01

SM.RG.01

dimensionful EW/QCD masses (m_W; m_Z; m_H; sin^2 thetaW; alpha_s)

Recorded status: Physical (scheme/RG)

Original ledger status

GATE.WOLFRAM.01

GATE.WOLFRAM.01

second [C] path VERIFIED RUNNING: Wolfram Engine 14.3 reproduces alpha^-1, E8 glue, M=41, K/Q ladder, lepton c, solar angle, anchor generator, quark ratios, G2 heat-kernel (a2=-R/3,a4|R2=R2/72), Plucker apparatus (11,26,60 + pencil + dualities + lepton ring), (U_wall) selectors (Spec Q+, det R=8), Exterior Leg Lemma (scalar leg=>c_u/c_d=1; anchor microcode 55/117), carrier exterior grading (16=Lambda^even(5), exterior degrees (2,4)), the '11' is Pascal (||Pl(K)||_1=sum_{k<=2}C(4,k)=16-g_car; 15=dim su(4)=10+5=N_fam*g_car), Grand Mass Volume (det M_SM~u^25=u^g_car^2; K-row sums (6,9,10)), Selection Theorem (q(D5)+q(A3)=2, glue 4=|mu4|, only n=5 gives 16-spinor), EM Ward (8b1=(4/5)M=164/5, -5/4=q(D5)), Q geometry (chi Q+/Q-), Readout Rigidity (55/117 stratum-constant), delta=1/2 glue-norm 4-ops, pencil endpoints, compiler core (5,3)+Pythagorean, seam=horizon keystones (triply-8, shared (2/3)^6), Coxeter cycle (order 30, exponents=totatives), unique attractor (gap, Coxeter planes), S_dS carrier decomposition, horizon cross-links (Jacobson 8pi, Hod ln3, |W(D5)|), seam-horizon chain (one-sided Gauss-Bonnet, seam units), area-law seam units 8=|Z2||mu4|, Lambda branch 3/(4pi^2) + K5 counts, CFT bridge (WZW c=8/5/3, c_coset=0), Seam-Engineering Index Xi=31/(24pi^2 log(3/2)), E8 Casimir degrees=atoms, central-theorem closure (2pi c3=1/4, k=c3/2), Seeley-DeWitt a2 (1/G UV-sensitive), D4-equivariant Q-geometry, Q integer-lift (det Q=N_fam), simple R-bridge (det ladder (3,4,8,20), selector stratum derived => 55/117 integer Plucker), det Q=N_fam from cusp order (v72), k=c3/2 forced by variation x Gauss-Bonnet topology (v73), compiler micro-lemmas (pencil differences 2-16-48, anchor QF 41-25=16) (v74), Gate 1 U_point->v_geo (lepton product 32/9, ratios+product bijection) (v75), Gate 2 decoupling margin 6log(3/2)-31/(4pi^2)>0 (v76), G6 via E8 level-1 net (c=8/5/3, embedding) (v77), v_geo floor (S_dS rho_Lambda=32pi^4) (v78), hypercharge Lucas-Binet (1,1,7,13,55,133) + Inverse Anchor Theorem (1^T M^-1 1=1/atom, a^T M^-1 a=1) (v79), operator-pencil geometry (anchor singularity det B(K+xQ)=(3x+2)(3x+5), block-det type checker (9,10,16,40), F4xG2 shadow 52+14+26*7=248) (v80), double cover y^2=det B(K+xQ) branched at Koide -2/3 & carrier -5/3, disc=81=N_fam^4, clearing matrices C_{2/3}/C_{5/3}, branch-divisor symmetric fns = (scalaron,A_Lambda) (v81) (116/116 pass on independent engine; EE area-law is Python-only; re-verified 2026-07-21 after license reactivation, Wolfram Engine 14.3, 116/116 ALL WOLFRAM CHECKS PASSED) UPDATE 2026-08-28: 20 exact mirrors of v983/v985/v987/v993/v994/v997 ADDED to tfpt_readouts.wl; engine run DEFERRED_NO_ENGINE (license inactive); verified count stays 116/116 until the next activated engine run. ROUND-4 2026-09-05: 11 representative exact checks in wolfram/tfpt_round4.wl are wired into the base runner, but execution is UNVERIFIED_NO_KERNEL (wolframscript exit255: no WolframKernel location). Last verified base count remains116/116; native Arb/Fourier/cube regressions are not claimed as Wolfram verified. ROUND-7 2026-09-05: 14 exact representative blocks in wolfram/tfpt_round7.wl are included but UNVERIFIED_LICENSE_INACTIVE; explicit installed kernel selection fails license activation. Verified count remains116/116; no new engine success claimed.

Recorded status: Numerical (second path)

Original ledger status

GATE.UWALL.03

GATE.UWALL.03

(U_wall) SELECTOR side closed on the explicit point (algebraic, no PDE): exponents at inf eig(sum A_k)={2,1,1}=anchor a => splitting O(-2)+O(-1)^2; pardeg=0 (deg E=-4=-|mu4| + 4 weight-sums of 1) => polystable; det R=8=n.a (anchor pairing on splitting type); Spec(Q_+)={1,2,3}=3*alpha+1 (alpha=cusp weights {0,1/3,2/3}) => both U4 selectors read off the bundle. RESIDUAL: amplitudes c_u/c_d are the finer harmonic-metric/Hodge datum (Gamma^min Hitchin), not fixed by splitting+weights

Recorded status: Numerical (selector side closed)

Original ledger status

EM.WARD.01

EM.WARD.01

EM Boundary Ward decomposition (Theorem C): F_U(1)=0 read as reduced boundary U(1) Ward identity in three terms - Maxwell alpha^3 + Calderon -2c3^3 alpha^2 (2=|Z2|) + transport -8b1 c3^6 log(1/phi_seam). Coefficient identities EXACT [I]: 8b1=(4/5)M=(4/5)(sumL+N_Phi)=164/5; seam exponent -5/4=-q(D5); transport power c3^6=C6 hexagon. Root reproduces alpha^-1=137.0359992 (v3). Physical Ward ORIGIN (EM1/EM2/EM3: d_tau log Z = each term) is [P] interpretation, NOT machine-proven. SHARPENED 2026-06-22 (v341/ALPHA.QUILLEN.01): the three terms are reassembled as the stationarity of a U(1) determinant line (delta log det Delta_U(1) + counterterm + seam = 0), every coefficient identified as index (8 b1) / heat-kernel (c3^{3,6}) / discriminant (q(D5), q(A3)); the [P] residual is unchanged in scope -- the from-first-principles AQFT proof that this is the EXACT Quillen functional -- only stated more sharply (still [P]/[O], no new gate) UPDATED 2026-08-27 (v974): the cited EM1 inflow step now carries a computed lattice witness -- on the v367 collar model pumped charge == edge spectral flow == Streda count == Chern == 1 per flux quantum (hybrid-Wannier winding residual 0.0; Streda DeltaN = C n_phi as exact integers; the complex-conjugation mutant flips all four readings simultaneously, the wrong-band projector breaks quantization). Single complex copy computed; the 16-copy bookkeeping (c_- = 16 x 1/2 = 8 = g_car + N_fam, kY = 5/3, (1/kY) 41/6 = 41/10 = b1) re-derived as exact Fractions. The physical Ward ORIGIN keeps its [P]/[O] scope -- nothing upgrades here.

Recorded status: Identity [I] + physical origin [P] (sharpened to a Quillen form by v341; to a heat-kernel origin by v342)

Original ledger status

VGEO.SHARPEN.01

VGEO.SHARPEN.01

v_geo IS THE SINGLE DIMENSIONFUL INPUT OF THE WHOLE THEORY (2026-06-23, Direction 6 of next-plan.md), now confirmed across matter AND gravity, and irreducibly primitive. The No-Unit Theorem (v153) already established that the dimensionless compiler cannot output an absolute scale, so v_geo is a forced metrology primitive, with the matter residuals collapsing onto it (U_point~v_geo, 1/G~v_geo^2, m/mu=e^{3/4} a pure ratio). The genuine SHARPENING here, after the parameter-free gravity (v358/v359/v361): the GRAVITY sector adds NO new dimensionful input either. [E] THE COMPILER IS DIMENSIONLESS: c3=1/(8pi) and g_car=5 are mass-dimension 0, so by the No-Unit Theorem an absolute scale CANNOT be an output -- v_geo is a forced INPUT (a chosen unit), not derivable. [E] GRAVITY ADDS NO NEW DIMENSIONFUL INPUT: the Einstein coefficient 1/c3=8pi and the Lambda prefactor (8pi)^2*48c3^4=3/(4pi^2) are dimensionless, and rho_Lambda/Mbar^4=(3/(4pi^2))e^{-2 alpha^-1} is a dimensionless ratio; so 1/G~Mbar^2~v_geo^2 and Lambda~(dimensionless)*v_geo^4 both reduce to v_geo times atoms -- the gravity sector introduces NO scale beyond v_geo. [E] THE FINAL TALLY: every dimensionful quantity in the theory (masses, 1/G, Lambda, U_point, the EW/flavor/Planck scales) = (a dimensionless compiler ratio)*(a power of the ONE unit v_geo); TFPT's complete free content is {v_geo (one mass unit), pi (a fixed math constant)} with ZERO dimensionless dials -- versus the SM's ~26 free parameters, a ~26->1 reduction. [O] v_geo IS IRREDUCIBLY PRIMITIVE: NOT an open gap -- a dimensionless theory provably cannot derive a scale (No-Unit), so v_geo is the one necessary external unit (the choice of ruler, like the metre); 1/G is UV-sensitive (Sakharov induced gravity, v68), a cutoff-dependent metrology readout, not a clean prediction. RESULT: v_geo is the single dimensionful input of the complete theory (matter via v153 + gravity via v358/v359/v361), irreducibly primitive; the theory is 0 dimensionless dials + 1 unit + pi. Direction 6 is clarity (the last dimensionful anchor named and shown to be the only one), not a new derivation.

Recorded status: v_geo capstone [E]/[O] (Direction 6: v_geo the single dimensionful input across matter+gravity, irreducibly primitive by No-Unit; final tally 0 dimensionless dials + 1 unit + pi vs SM ~26)

Original ledger status

GRAV.BACKREACT.01

GRAV.BACKREACT.01

THE MATTER-GRAVITY BACKREACTION WITH THE EXPLICIT J3 FLUX (2026-06-23, Direction 5 of next-plan.md). With the parameter-free Einstein equation (v359, G_ab+Lambda g_ab=(1/c3)T_ab) and the matter boost flux (v358, delta<K_B>=(8 pi^2 R^4/15) delta<T_00>), feed TFPT's carrier stress tensor in and ask what is FORCED about the backreaction of the SM content on the metric. Run with the v354/v355 discriminator: two genuine forced facts (positive) + an explicit decline. [E] THE CARRIER'S GRAVITATIONAL ANOMALY IS FORCED c_-=8: the carrier is 16 Majoranas (=dim S^+=2^(g_car-1)); the chiral central charge / gravitational t Hooft anomaly is 16/2=8=g_car+N_fam (the same c_- as v358) -- the matter content's gravitational anomaly is an atom, not a free number. [E] THE BACKREACTION IS FINITE -> Lambda FROM ALPHA (the CC backreaction): the matter vacuum energy, fed through G_ab=(1/c3)T_ab, does NOT give the M_Pl^4 catastrophe -- the seam gap suppresses it (Decoupling Theorem v337/v76) to the forced rho_Lambda/Mbar^4=(3/(4 pi^2))e^{-2 alpha^-1} (v60), with the 123 orders = 2 alpha^-1/ln10 (119.03, the EM fixed point) + log10(256 pi^4/3) (3.92); the loop (v359 equation + v60 Lambda + the carrier vacuum) closes. [E] THE MATTER COUPLING IS EXPLICIT (J3, v358): delta<K_B>=(8 pi^2 R^4/15) delta<T_00> sources the metric; the carrier stress tensor IS the SM's (v159: reproduces the SM betas, no new gauge-charged state), so the backreaction is GR with the SM content. [C] THE SM TRACE/CONFORMAL ANOMALY IS REPRODUCED, NOT NEW: its coefficients are functions of the field content, and TFPT's content = the SM. [O] DECLINE (the discriminator): beyond c_-=8 (anomaly) and Lambda (vacuum), there is NO new atom-forced gravitational read-out of individual SM quantum numbers -- the backreaction is GR-with-the-SM and the forced pieces are already established (v358/v60); per v354/v355 we DECLINE to manufacture one. HONEST CONCLUSION: the matter-gravity backreaction is finite and consistent (gravitational anomaly c_-=8 + gap-suppressed vacuum -> the forced Lambda), closing the loop; it adds no new dial.

Recorded status: Backreaction result [E]/[C]/[O] (Direction 5: carrier gravitational anomaly c_-=8 forced + finite backreaction -> Lambda from alpha, loop closes; no new SM-quantum-number read-out -> declined per v354/v355)

Later scope correction: the DtN form estimate alone does not prove the transfer gap.

Original ledger status

GRAV.NONLINEAR.01

GRAV.NONLINEAR.01

THE FULL COVARIANT EINSTEIN EQUATION, PARAMETER-FREE (2026-06-23, Direction 1 of next-plan.md, extends GRAV.ENTROPY.EQUILIBRIUM.01/v358). v358 ran the entanglement first law at fixed radius -> the Ricci-level (linearised) equation. Jacobson 2015 (PRL 116, 201101) shows that demanding stationarity of the small-ball entanglement entropy at fixed VOLUME brings in the EINSTEIN TENSOR G_ab (not just R_ab) -- the unique symmetric divergence-free second-order metric tensor (Lovelock) -- so the equilibrium yields the FULL covariant G_ab + Lambda g_ab = (1/c3) T_ab with local conservation built in, and TFPT supplies BOTH coefficients that Jacobson's local argument leaves free. [C/E] FIXED VOLUME -> EINSTEIN TENSOR: at fixed volume the small-ball area deficit is governed by G_ab, not R_ab (Jacobson 2015); the structural identity G_ab=R_ab-(1/2)R g_ab has trace g^{ab}G_ab=(1-d/2)R=-R in d=4 -- the trace structure that carries Lambda, upgrading v358's linearised Ricci-level result. [E] LOVELOCK UNIQUENESS -> CONSERVATION: in d=4 the only symmetric divergence-free second-order metric tensor is a*G_ab+b*g_ab, so fixed-volume equilibrium NECESSARILY produces G_ab+Lambda g_ab and nabla^a(G_ab+Lambda g_ab)=0 forces nabla^a T_ab=0 -- matter conservation is an OUTPUT, not an input. [E] COEFFICIENT 1 PARAMETER-FREE (from v358): the equilibrium coupling 2 pi/eta with eta=1/|mu4| gives 8 pi G -> 8 pi = 1/c3 FIXED (no free dimensionless Newton dial). [E] COEFFICIENT 2 FROM ALPHA (Direction-4 fold-in; v60): Jacobson's local argument leaves Lambda FREE; TFPT fixes it -- rho_Lambda/Mbar^4 = (3/(4 pi^2)) e^{-2 alpha^-1}, prefactor (8 pi)^2*48 c3^4 = 3/(4 pi^2) [E exact], the '123 orders' split 2 alpha^-1/ln10 + log10(256 pi^4/3) [N]. So BOTH coefficients of G_ab + Lambda g_ab = (1/c3) T_ab are TFPT-fixed, not free integration constants. [C] ALL TIMELIKE DIRECTIONS -> FULL TENSOR: holding the scalar equilibrium for every unit timelike direction at every point promotes it to the covariant tensor equation; the matter side is the assembled CHM ball modular flux (v358/v323). RESULT: the original B6 'full covariant Einstein-side field equation' is now PARAMETER-FREE at the LOCAL level. [O] RESIDUAL: this is the Jacobson EQUATION-OF-STATE derivation (a [C] physical framework), NOT a from-action quantisation; the global non-perturbative ambient measure (C7/QG.AMB.01) is separate and stays the inherited, gap-decoupled QG problem; v_geo remains the one unit.

Recorded status: Full covariant Einstein equation [E]/[C]/[O] (parameter-free: 8pi=1/c3 + Lambda from alpha; Einstein tensor via fixed-volume equilibrium + Lovelock conservation; B6 closed at local level; residual = equation-of-state status + C7 global measure)

Original ledger status

FR.POLE.SOLVE.01

FR.POLE.SOLVE.01

Track 3 (2026-06-23, F_transfer): the Koide source->pole transfer as a TYPED solver -- promotes experiments/ftransfer/koide_source_to_pole into the ledger with a kill test. Does NOT re-prove the 53/54 operator factor (v183, [E]) or Q*=2/3 (v82/v101); answers the one open question: is the physical source->pole transfer standard QED/EW running? A clean NEGATIVE. [E] Q_pole=Koide(PDG poles)=2/3 to 3e-6; Q_src(phi0-ladder, v93)=0.6644638 (0.33% below 2/3). [E] dQ/deps>0 at the pole: more QED running widens the hierarchy and pushes Q ABOVE 2/3 (Q(eps_QED)>2/3). [E] the eps mapping Q_pole->Q_src is NEGATIVE (brentq) while QED gives eps=+(3/2)(alpha/pi)>0 for any alpha in [1/137,1/128] -- the WRONG SIGN. [C] verdict: F_pole is NOT perturbative running; the transfer is the non-QED operator/Moebius generator whose signature is 53/54 (v183, [E]) and the (2/3)^6 Moebius flow (v82). Stays [C], sharper -- plain running is the kill (excluded).

Recorded status: Koide source->pole: standard QED running EXCLUDED (wrong sign) -- the transfer is the non-QED 53/54 operator/Moebius generator [E]/[C]

Original ledger status

FR.QCD.BUDGET.01

FR.QCD.BUDGET.01

Track 3 (2026-06-23, F_transfer): the m_p/m_e transfer as a TYPED uncertainty-budget + kill test -- the falsifiability companion to v262 (the precise 2-loop point), replacing the v326 toy (which hardcodes 1836.15). Does NOT re-derive Lambda^(3) or the b3=-7 beta (v164/v262, [E]); propagates the two declared externals through the transfer m_p/m_e=C_p Lambda^(3)/m_e. [E] b3=-(11-2 n_f/3)=-7 (n_f=6 carrier). [N] two declared externals (v339): alpha_s(M_Z)=0.1179+-0.0009 (PDG) and C_p=2.83+-0.15 (lattice), entering linearly-in-log so d ln Lambda=(2pi/(b0^(5) alpha_s^2)) d alpha_s~5.3% and d C_p/C_p~5.3%. [C] m_p/m_e central ~1824 (v262 2-loop) with a propagated 1-sigma band +-sqrt(5.3^2+5.3^2)%~+-7.5% -> [~1690,~1960], CONTAINING the observed 1836.15 -- no free dial. [X] kill: a future lattice C_p+-0.03 + tighter alpha_s shrink the band to ~+-2%; a band then EXCLUDING 1836.15 drops the QCD-matching transfer route (b3=-7 carrier + the SU(9)-integer firewall v262 untouched).

Recorded status: m_p/m_e uncertainty budget: the observed 1836.15 is inside the propagated +-7.5% (alpha_s, C_p) band; lattice-tightening is the kill [C]/[N]/[X]

Original ledger status

E8.REVERSE.AUDIT.01

E8.REVERSE.AUDIT.01

THE REVERSE NUMEROLOGY AUDIT + WHAT THE GOLDEN RATIO MEANS (2026-06-22). TFPT's forward discipline (v305) is one-directional: every physical READOUT must map onto an E8 structure (anti-fitting). The reverse question (rightly asked): how much E8 structure is mapped onto NOTHING, and why? -- and is the recurring golden ratio numerology? [E] THE REVERSE AUDIT: E8 has 8 Casimir invariant degrees {2,8,12,14,18,20,24,30} (= exponents+1); exactly THREE feed a PRIMARY physical-constant readout -- degree 2 (the quadratic/metric), degree 8 (the rank -> c3=1/(8pi)), degree 30 (the Coxeter number -> g_car=5 and the order-30 cycle) -- and FIVE carry no primary readout {12,14,18,20,24} (they coincide with structural atoms -- A3 roots, dim G2, det L, |W(A3)|, the anchor power sum -- per v66, but those per-degree coincidences are mostly UNFORCED, the numerology temptation reconciled/declined in v355). So 3/8 are primary readouts, 5/8 hull overhead. [E] ECONOMY, NOT PROMISCUITY (the anti-numerology signature): a SMALL fixed set of E8 data (rank 8, h=30, det Cartan 1, the D5(+)A3 maximal sub, the 16 half-spinor) generates the ENTIRE readout set (gauge group, 3 families, hypercharges, alpha^-1, the flavor matrix, the scales); the higher Casimir invariants are NEVER reached into to fit anything. A numerological use of E8 would be PROMISCUOUS (mining the rich structure for matches); TFPT is ECONOMICAL (few invariants, many readouts) and leaves most of E8 untouched. [E] THE GOLDEN RATIO IS UNMAPPED => NOT NUMEROLOGY: phi=2cos(pi/5) appears only in INTERNAL structure -- the affine-E8 attractor subleading eigenvalue (v312) and the icosian lattice/2I (v348) -- and in NO physical readout (no measured constant is phi). Numerology = a number FITTED to an OBSERVATION; phi is fitted to nothing, it is the algebraic signature of the 5-fold (h=30=2*3*5), the carrier ANNOUNCING that it is icosahedral. Unmapped structure cannot be numerology. [O] WHY THE UNMAPPED REMAINDER EXISTS (honest): E8's role is the minimal even-unimodular HULL (consistency container, det=1), not the world group; the hull's job is done by the low data (rank, h, det, decomposition), so the higher Casimirs {12,14,18,20,24} are by-products of unimodular closure. The 5/8 unmapped is the HULL OVERHEAD -- expected for a hull, but stated plainly: where a future higher-invariant readout could live, or genuine over-capacity. TFPT does not pretend E8 is fully used.

Recorded status: Reverse anti-numerology audit [E]/[O] (3/8 Casimir invariants mapped, 5/8 hull overhead; economy not promiscuity; phi is unmapped structure not numerology)

Original ledger status

E8.OTHERSIDE.AUDIT.01

E8.OTHERSIDE.AUDIT.01

THE 'OTHER SIDE OF THE SEAM' AUDITED AGAINST THE UNMAPPED E8 STRUCTURE (2026-06-27, v430): the sheet/deck complement of the reverse audit v354/v355. The reverse audit found FIVE Casimir degrees {12,14,18,20,24} with no primary readout ('hull overhead'); the double cover has an 'other side' (the one-sided Z2 collar / conjugate half-spinor S^-). Does that other side correlate with the unmapped E8 structure -- is the leftover where the second sheet lives? The answer is a disciplined NEGATIVE. [E] DECK = DEGREE-2 INVARIANT (matched): the one-sided double cover contributes |Z2|=2 (the factor 1/2 in c3=1/(2*4pi)=1/(8pi), v58/v216); 2=min(E8 degrees)=the quadratic/metric, one of the THREE matched primary readouts {2,8,30} (v354), never one of the unmapped {12,14,18,20,24}. [E] TWO SHEETS = THE 128-SPINOR (matched, collective): dim S^+=dim S^-=16; the full E8 spinor block is 128=rank*dim S^+=8*16=2^(rank-1)=sum(degrees) (v227/v66), the spinor half of 248=120+128; the 'other side' S^- enters 248 as the conjugate (16-bar,4-bar), 128=2*64, not a spare singlet. [E] FORCED-DISJOINT: the natural sheet/deck integer set {|Z2|,dim S^+,dim(S^+ + S^-),128-spinor}={2,16,32,128} has EMPTY intersection with the unmapped degrees {12,14,18,20,24}; its only degree-alphabet contact is the MATCHED degree 2 and the collective spinor budget 128=sum(deg). [O] DISCIPLINED DECLINE (the v355 discriminator applied to the sheet): each unmapped degree, if 'explained' from sheet/deck atoms, needs an UNFORCED coefficient and admits >=2 readings -- exactly the promiscuous mining v355 declines; no forced sheet->unmapped-degree identity. [E] 'S^- = DM' DOWNGRADED + WIMP NO-GO: v227 replaced the over-strong 'S^- is dark matter' by the magnitude/phase typing of 248=120+128; 128=(16,4)+(16-bar,4-bar) is the SAME matter spinor, so there is no spare E8 singlet for a WIMP (frontier) -- dark matter is the determinant-line axion (a PHASE of existing structure). [O] WHERE THE ONLY LIVE 'OTHER SIDE' QUESTION SITS: whether the 128 phase/glue channel hosts a dark sector stays Frontier (v227), but that is MATCHED structure (the spinor 128=sum(deg)), NOT the five unmapped degrees. CONCLUSION: the 'other side of the seam' is forced-disjoint from E8's unmapped Casimir degrees -- a clean structural NEGATIVE complementing v354/v355.

Recorded status: Sheet/deck reverse audit [E]/[O] (the double-cover 'other side' = degree-2 + the 128-spinor, forced-disjoint from the 5 unmapped degrees; the complement of v354/v355)

Original ledger status

OVERDET.FLOOR.01

OVERDET.FLOOR.01

THE UNCONDITIONAL IMPROBABILITY FLOOR + THE L1<->L2 BRIDGE (2026-06-27, v432): the defensible over-determination number that survives even if a skeptic REJECTS the declared formula grammar -- the complement of the conditional null model (v100) and the multiply-vs-compress framework (v427/v428). [E] DISJOINT MULTIPLICATIVE PIECES (per v428): compression removed (v427's seven readouts are ONE (2,3,5)/E8 object, not multiplied); what honestly multiplies is the input '8' forced FOUR independent ways {rank E8, h(D5)=2(g_car-1), phi(30), Milnor(2,3,5)} plus the FOREIGN witness alpha^-1~137 (prime, outside the (2,3,5) skeleton). [C] CONSERVATIVE FLOOR: multiplying ONLY across disjoint pieces (input over-determination x the alpha grammar census 1/94500 from v100 x the phi0-seed cluster counted ONCE x one weakly-discriminating downstream witness K+->pi+nunu) the floor stays <=1e-6 across a grid of GENEROUS chance assignments, nominal ~1e-10 -- 'extraordinary' WITHOUT the declared grammar. [E] THE BRIDGE: the unconditional floor (~1e-10) sits ~20 orders ABOVE the v100 conditional 10^-30.7; that gap is exactly the evidential value of proving the FORMS forced, so L1 (the alpha form-derivation ALPHA.QUILLEN.EXACT.01/v382) and L2 (this floor) are the SAME lever -- closing L1 moves the alpha factor from the 1/94500 census toward certainty. [C] HONEST SCOPE: bounds ONLY the 'is it numerology?' question, NOT the physics bridge (seam/anchor/transfer, firewall v187); a conservative FLOOR (an upper bound on chance-plausibility), not a posterior.

Recorded status: Unconditional over-determination floor [C] (disjoint pieces only, compression removed; floor ~1e-10 vs v100 conditional 10^-30.7; bounds numerology only, firewall)

Original ledger status

OVERDET.FLOOR.02

OVERDET.FLOOR.02

HARDENING THE UNCONDITIONAL FLOOR -- THE ASSUMPTION-MINIMAL COUNTING FLOOR (2026-06-29, v436): OVERDET.FLOOR.01 (v432) multiplies the counting census by SUBJECTIVE chance assignments (input-'8' independence 0.1^3, seed 0.012, kaon 0.15) a skeptic can contest; this module shows the 'is it numerology?' verdict does NOT rest on them. [E] ASSUMPTION-MINIMAL FLOOR: the alpha cubic-class census (v100 layer D) is PURE COUNTING -- of N=94500 complexity-matched F_U(1) variants only ONE lands in the 4e-8 CODATA window (the TFPT instance, alpha^-1=137.0359992), so p_alpha <= 1/94500 = 1.06e-5 ~ 4.40 sigma (two-sided) with NO subjective probability, NO prior, NO multi-observable grammar. [E] MONOTONE CONCESSION LADDER: -log10(p) full scorecard+alpha ~30.7 -> scorecard-only ~25.8 -> alpha-census-only ~4.98 (=4.40 sigma); each rung uses strictly less evidence and 'not chance (>4 sigma)' holds at the MOST adversarial rung, so the verdict never rests on one contestable piece. [E] INDEPENDENCE: strip ALL of v432's subjective factors (1.8e-6) and the floor is still the counting census 4.40 sigma -- they only SHARPEN an already-extraordinary floor. [C] HONEST 5-SIGMA GAP: the conventional 5 sigma line (p=5.7e-7 two-sided) is crossed UNCONDITIONALLY by the census times exactly ONE more independent factor <=0.054 (the input-'8' four-fold over-determination or one foreign witness), stated not hidden. [C] FIREWALL: bounds ONLY 'is it numerology?', NOT the physics bridge (firewall v187); a conservative FLOOR (an upper bound on chance-plausibility), not a posterior.

Recorded status: Assumption-minimal counting floor [E]/[C] (the alpha census 1/94500 = 4.40 sigma with no subjective probability; monotone concession ladder; independent of v432's subjective pieces; honest 5-sigma gap; hardens OVERDET.FLOOR.01)

Original ledger status

TFPT.SELFLOOP.01

TFPT.SELFLOOP.01

THE BIRD'S-EYE RETHINK (2026-06-22, refining TFPT.IRREDUCIBLE.01/v352). Stepping all the way back: TFPT is not a LINEAR theory (axioms -> theorems) at all -- it is a CLOSED SELF-CONSISTENT LOOP whose outputs fix its own inputs, with ZERO free adjustable dimensionless parameters; pi (the only transcendental) is a fixed mathematical constant of the boundary geometry, not a dial. [E] IT IS A LOOP, NOT A LINEAR FOUNDATION: outputs fix inputs -- g_car=5 = max prime of h(E8)=30 (the output Coxeter number fixes the input rank), the 8 in c3 = rank E8 = g_car+N_fam (the output lattice fixes the input seam constant); inputs fix outputs ({c3,g_car} -> D5(+)A3+mu4 -> E8 -> SM, alpha, scales). The arrows close into a circle (v6 bootstrap) with a UNIQUE fixed point (v56 attractor); 'which is the axiom?' is the wrong question for a loop. [E] ZERO FREE ADJUSTABLE DIMENSIONLESS DIALS: every load-bearing number is forced/over-determined (g_car 3 ways, the 8 four ways = rank E8 = h(D5) = phi(30) = det R, rank E8, c=8, N_fam=3, the (2,3,5) atoms, the golden ratio, alpha^-1 the unique root); the count of free adjustable dimensionless parameters is 0. [E] pi IS A FIXED CONSTANT, NOT A DIAL: pi enters only through the boundary 2-sphere (oint_{S^2} K = 2 pi chi = 4 pi, chi=2), so c3 = 1/(|Z2| oint K) = 1/(8 pi); pi is the sole transcendental but a fixed mathematical constant of the continuous boundary geometry, not tunable. [A] REFINING v352: v352 said 'the irreducibles are the framework + pi'; sharpened -- pi is not a free input (the sphere's constant) and the 'framework' is not a free meta-axiom but a SELECTION PRINCIPLE ('reality is the unique self-consistent discrete reflection-positive boundary loop'); the honest characterisation is a UNIQUE self-consistent loop with ZERO free dials, not 'axioms + a tested meta-axiom'. [O] THE ONE GENUINE RESIDUAL AND THE FORK: discretely the loop CLOSES (unique, over-determined); the only thing not verified is whether it closes in the CONTINUUM -- the existence of the chiral edge / massless scaling limit (SEAM.EQUIV.01, v336/v351). Under STRUCTURAL REALISM (reality IS the self-consistent structure) the loop is complete and this is not a separate question; under CONSTRUCTIVISM (an independent physical world must instantiate the math) the continuum closure is the genuine open theorem. The fork is philosophical, not numerical -- TFPT has no free numbers either way.

Recorded status: Capstone rethink [E]/[A]/[O] (a unique self-consistent loop with zero free dials; pi a fixed geometric constant; the one residual is the continuum closure; the fork is philosophical not numerical)

Original ledger status

EM.WARD.02

EM.WARD.02

HEAT-KERNEL SHARPENING OF EM.WARD.01 (2026-06-22): derives the ORIGIN and STRUCTURE of the F_U(1) determinant-line terms from textbook Seeley-DeWitt/Gilkey heat-kernel coefficients, advancing the EM-Ward origin from [P] (conjectured) to [E] for the term STRUCTURE; honestly fences the rest. NO new gate (sharpens EM.WARD.01). [E] c3 = 1/(8 pi) is the boundary GAUSS-BONNET heat-kernel coefficient: the seam is the flat pillowcase S^2(2,2,2,2) (chi=2), oint K = 2 pi chi = 4 pi, c3 = 1/(|Z2| oint K) (v216). [E] the alpha^2 term is the GILKEY gauge-curvature coefficient: the U(1) Laplacian a4 contains 30 Omega^2/360 = (1/12) Omega^2 (Gilkey, Invariance Theory Thm 4.8.16), Omega = i alpha F => -(alpha^2/12) F^2, so an alpha^2 term in log det Delta_U(1) is FORCED -- the Calderon -2 c3^3 a^2 is the gauge-curvature (Quillen-curvature) piece, not an ansatz. [E] the c3-ladder {0,3,6} is arithmetic (step 3 = three channels; 6 = |R^+(A3)| C6 hexagon). [E] multiplicities forced: 2 = |Z2| (sheet), 8 b1 = (4/5) M = (rank E8) b1 (b1=41/10, v48/v159). [E] pi-power test: 2 c3^3 = 1/(256 pi^3) carries pi^3 => THREE boundary c3-insertions, not a single bulk a4 (~pi^{-1}). [C] the exact coefficient 2 c3^3 needs the seam F-normalisation. [O] the cubic alpha^3 Maxwell moment (a topological/Chern level, NOT a Seeley-DeWitt integral) + the full identification (this IS the seam U(1) zeta-determinant) = EM.WARD.01's residual, tied to SEAM.EQUIV.01. NOT closed. alpha^-1 stays [E] (v3).

Recorded status: Heat-kernel origin [E]/[C]/[O] (term structure [E]; exact value [C]; cubic moment + identification [O]; no new gate)

Original ledger status

DATA.SCORECARD.01

DATA.SCORECARD.01

Confrontation of TFPT predictions with current research data (2024/25) - honest scorecard incl. tensions [N], data-confrontation (Python-only, external data). STRONG MATCHES: alpha^-1=137.0359992 vs CODATA 137.035999177 (~9 sig figs); sin^2 th12=0.30675 vs NuFIT 6.0 (2024) 0.307+-0.012 (0.02 sigma); beta_rad=0.2424 deg vs ACT DR6 (Diego-Palazuelos-Komatsu 2025) 0.215+-0.074 (0.37 sigma). MILD ~2 sigma TENSIONS: sin^2 th13=0.0231 vs NuFIT 0.02195+-0.00058 (1.98 sigma high); R+R^2 Starobinsky n_s=0.960-0.967 consistent with Planck 0.9649 but ~2 sigma below the DESI-combined P-ACT-LB 0.9743+-0.0034 (DESI-driven shift under discussion; CMB-only favors Starobinsky range). OPEN: theta23 octant ([P], NuFIT ambiguous 0.470/0.561). FUTURE FALSIFIER: tensor-to-scalar r~0.004 (Starobinsky), well below bound ~0.03, testable by CMB-S4/LiteBIRD. Honest verdict: impressive matches AND real current ~2 sigma tests - a falsifiable theory, not self-confirming

Recorded status: Numerical/data [N]

Original ledger status

LAMBDA.BRANCH.01

LAMBDA.BRANCH.01

Lambda-metrology branch selection => G_N as horizon-metrology OUTPUT, the 123-orders double overlap, and the ACT DR6 birefringence comparison. (1) The form rho_Lambda/Mbar^4=(3/(4pi^2))e^(-2 alpha^-1) is in Paper 1; NEW: with delta_top=48 c3^4=3/(256 pi^4) the physical branch prefactor is (8pi)^2 delta_top=3/(4pi^2) [I], and the alternative branch 2c3 e^(-2a) is mis-scaled by 2c3/delta_top=1/(24 c3^3)=64 pi^3/3=661.467 - so selecting the physical branch PINS Mbar (hence G_N): Newton constant is an output, not a free input [I]+[P consequence]. (2) 123-orders split [I]/[N]: |log10(rho_Lambda/M_Pl^4)|=122.948=119.028(=2 alpha^-1/ln10, EM fixed point)+3.920(=log10(256 pi^4/3), seam-defect prefactor in M_Pl units) - double overlap of one boundary compiler, not fine-tuning. (3) ACT DR6 birefringence [N]: TFPT beta_rad=phi0/(4pi)=0.2424 deg (same seed as Cabibbo); ACT DR6 (Diego-Palazuelos & Komatsu 2025, arXiv:2509.13654, PRD 113 L101302) beta=0.215+-0.074 deg (2.9 sigma) => TFPT ~0.37 sigma from central value (consistent, falsifiable). Plus action exponents (1,5,10)=K5 graph counts (5 vertices, 10 edges)=Pascal 16=1+5+10

Recorded status: Identity [I] + observational [N] + [P] consequence

Original ledger status

SEAM.CROSSLINK.01

SEAM.CROSSLINK.01

Horizon cross-links - published black-hole results meeting compiler atoms (exact arithmetic [I]; physical seam=horizon identification is [P]): (1) JACOBSON/EINSTEIN: c3=1/(8pi) is exactly the Einstein-eq coefficient G_uv=8pi T_uv and EH action 1/(16piG)=c3/(2G); Jacobson 1995 derives Einstein eq from dQ=T dS on local Rindler horizons with entropy density 1/(4G), entropy coeff 1/4=1/|mu4| => if seam=horizon, gravity is its thermodynamics and c3 the conversion constant. (2) HOD QNM: Schwarzschild asymptotic quasinormal omega_R->T_H ln(3) (Hod 1998, Motl 2003), imaginary spacing 2pi T_H => omega_R/T_H=ln(3)=ln(N_fam); ladder spacing=seam unit 1/(2pi)=4c3. HONEST: the 3 is spin-dependent => [P] cross-link not forced. (3) Hawking power P_H=c3/(1920 M^2), 1920=|W(D5)|=2^4*5! (carrier Weyl group). (4) one alpha^-1: H0/Mbar~e^(-ainv)/(2pi) keys off the SAME EM fixed point as S_dS, Lambda. (5) S_BH=A/(4G)=A/(|mu4| l_P^2): one boundary cell per |mu4|=4 Planck areas. Supports the seam=horizon picture; not a closure

Recorded status: Identity [I] + [P] cross-links

Original ledger status

SEAM.CYCLE.01

SEAM.CYCLE.01

A cyclic element INSIDE the compiler hull (computed, not asserted): built from the E8 Cartan matrix, the Coxeter element c=s1...s8 has order EXACTLY h(E8)=30=|Z2|*N_fam*g_car=2*3*5 (verified by matrix powers, v55), and its eigenvalues are primitive 30th roots exp(2pi i m/30) with m the E8 exponents {1,7,11,13,17,19,23,29} = EXACTLY the phi(30)=8 totatives of 30. Hence rank E8=8=phi(30)=#exponents=#live phases of the order-30 cycle => the 8 in c3=1/(8pi) is the live-phase count of a primitive order-30 cyclic rotation of the hull, period 30=|Z2|*N_fam*g_car. PLUS one-alpha cross-sector: S_dS*rho_Lambda=1/(128 c3^4)=32 pi^4 (de Sitter Gibbons-Hawking entropy ~ 1/Lambda), so the SAME EM fixed point alpha^-1=137.036 sets the cosmic horizon entropy and Lambda smallness ~10^-122=e^(-2 alpha^-1). FURTHER: S_dS=2^g_car*pi^|mu4|*e^(2 alpha^-1) - the entropy prefactor 32 pi^4 = (Dirac spinor dim of D5=SO(10): S+ + S- =16+16=2^g_car) x pi^|mu4|, with 128=2^7 (7=scalaron exponent g+n-1): cosmic horizon entropy = carrier Clifford dim x pi^glue x EM fixed point. [I]/[L]; cyclic-cosmology reading is [P], not included

Recorded status: Identity/Lie [I]/[L]