Original ledger status
FLAV.QGEO.01
geometric origin of Q reduced: Q_+ = A3 exponent grading (spec 1;2;3); Q_-^2 = N_fam on support; open = realise Q_+/Q_- on parabolic P1\mu4 UPDATE (2026-07-31, v567, QGEO.QRECON.01): the declared reductions (Q_+ spectrum, Q_-^2 budget) plus the v10 winding normalisation and the seam-line demand reconstruct the ANCHOR carrier-free (one code class on all 28 admissible pairs) and Q itself up to ONE binary sheet-coupling choice (q32 in {2,0}; the 81-pin) -- the v11 carrier budgets are bypassed entirely; the audit relocates to GATE.QGEO.01 and the binary selector. Markers unchanged.
Recorded status: Physical (conditional; sharpened)
Dependencies, status detail and source
Canonical status: Physical (conditional; sharpened)
Dependencies: FLAV.KQ.01; parabolic Hodge on P1\mu4
Scripts: v13_open_gates.py
Location: tfpt_2
Original CSV, line 15Original ledger status
HOR.CLOCK.02
QUANTUM-CLOCK TARGET (R1 made quantitative; nothing fitted): the Ginsparg-Perry multi-mode clock has per-l equations lambda^2+lambda+(l(l+1)-2)=0 - l=0 anchor pair {1,-2}, l=1 zero modes {0,-1}, l>=2 complex with Re=-1/2=-delta (audit). NEW CROSS-LINK [I]: the classical decay set (l=0,1) = {0,-1,-2} = -Spec(V) = -N_fam x cusp weights - the classical seam clock decays exactly on the grading that carries the transfer operator's eigenspaces (FLAV.QGEO.01/FLAV.DIAMOND.02): structural support for the relocation identification (SYNTH.INVENTORY.01 R1). THE QUANTUM TARGET [I]: transfer rates {0, Delta, 6ln3} are not weight-linear; rate(2)/rate(1) = log_{3/2}(3) = 1+log_{3/2}(2) = 2.7095; exact identity (1/3)^6 = ((2/3)^6)^{log_{3/2}3}; required bend log_{9/4}(3) = 1.35476 per weight step. COUPLING LANDSCAPE [I]: kappa = (c/24pi)(Lambda/Mbar^2), c=8: cosmological 7.6e-122 vs seam 1/(3pi) = 0.106 - the only viable regime, borderline non-perturbative; one-loop linear response cannot fix the bend (O(1) resummation or exact seam construction required). STATUS [P]: R1 = 'produce the bend log_{3/2}3 on the cusp ladder at coupling O(1/3pi)'; identification NOT closed
Recorded status: Identity [I] (tower, cross-link, target arithmetic, coupling) + Physical [P] (identification)
Dependencies, status detail and source
Canonical status: Identity: clock lives on the cusp ladder; exact bend target; [P] identification open
Dependencies: HOR.CLOCK.01; SYNTH.INVENTORY.01 (R1); FLAV.QGEO.01; FLAV.DIAMOND.02 (Spec V); FR.KOIDE.04
Scripts: v107_quantum_clock_target.py
Location: tfpt_horizon_readouts
Original CSV, line 190Original ledger status
FLAV.QGEO.04
THE Q+ GRADING IS COHOMOLOGY (the R5/GATE.QGEO dictionary at the spectrum level; external review 2026-06-12, validated and sharpened): (1) BASIS + CHARACTERS [I]: b_1(P^1 minus mu_4) = 3 = N_fam with holomorphic basis omega_k = z^(k-1)dz/(z^4-1), k = 1,2,3 (regular at infinity; the trivial character is absent - k = 4 would be the dlog form); the mu_4 character of omega_k is i^k, so H^1 = chi_1 + chi_2 + chi_3 with each nontrivial character exactly once; the residue vector of omega_k over the punctures is the character vector zeta^k/4 exactly. (2) THE GRADING IS Spec(Q+) [I]: the character degrees (1,2,3) are exactly Spec(Q+) (Q+ = 3*diag(cusp weights)+1, FLAV.QGEO.01); NEW: the cusp weights {0,1/3,2/3} are spec(A0*) (GATE.UWALL.07) - Mehta-Seshadri weights, cusp classes, cohomology characters and the flavor operator Q+ are ONE spectrum in four readouts. (3) A3 EXPONENTS [I]: (1,2,3) are the exponents of A3 (W(A3) = S4, GATE.UWALL.09) with Coxeter number h(A3) = 4 = |mu_4| - the Q+ generation grading IS the A3 exponent grading realised on the seam curve's cohomology: the R5 dictionary statement at spectrum level. (4) RESIDUE [P] (recorded): GATE.QGEO's remainder is the NATURALITY of the identification - the canonical map from the H^1 character basis to the V-axis generation basis (rowsum(V) = (1,2,3) verbatim, FLAV.SURF.01); spectrum equality is [I], the canonical map is the residue
Recorded status: Identity [I] (cohomology basis + characters + residues + spectrum match) + Physical [P] (naturality residue)
Dependencies, status detail and source
Canonical status: Identity: H^1 = chi_1+chi_2+chi_3 with degrees (1 2 3) = Spec(Q+) = A3 exponents; cusp weights = spec(A0*); residue = naturality of the canonical map
Dependencies: GATE.QGEO.01; FLAV.QGEO.01-03; GATE.UWALL.07; GATE.UWALL.09; FLAV.SURF.01
Scripts: v137_qplus_cohomology.py
Location: tfpt_2; tfpt_research_contracts
Original CSV, line 222Original ledger status
QGEO.QRECON.01
THE NO-CARRIER-RECONSTRUCTION AUDIT, STAGE A (2026-07-31; Priority 1 of the self-code review; one module, 9 checks, ~1 s, exact enumeration with integer prefilters + sympy verification; discovery probe carrier_free_q_reconstruction_probe.py 10/10, verdict RECONSTRUCTS-TO-FAMILY). THE QUESTION: can Q -- hence V and the v566 parabolic anchor self-code -- be reconstructed WITHOUT carrier/anchor inputs? THE CIRCULARITY LOCATED: v11's uniqueness certificate for Q enumerates over row sums (4,5,6), column sums (9,5,1) and chi_Q = (t-1)(t^2-5t+3) -- the 5 = g_car sits in the budgets and in chi_Q; all of it FORBIDDEN here. ALLOWED (each carrier-free, with corpus source): (S) Sigma = diag(1,-1,-1) [v10 sheet]; (W) Q(I+Sigma) = 2 N_fam W [v10 winding]; (E) Spec(Q_+) = {1,2,3} [FLAV.QGEO.01, A3 exponents]; (M) Q_- != 0, Q_-^2 = N_fam P, P^2 = P [FLAV.QGEO.01]; (Z) nonneg integers, bound 6 (robust at 9); (L) the seam-line demand [geometric, [C]]; (X) the saturation index N_fam^4 = 81 [v566 S4]. RESULTS [E]: (1) exactly 52 admissible matrices under (S)(W)(E)(M)(Z), corpus Q among them, first column forced to N_fam(1,1,1) by (W); (2) the seam-line demand cuts 52 -> 28 (real teeth); (3) THE ANCHOR IS CARRIER-FREE: all 28 parabolic members code the SAME anchor -- H' = I + Pi_dom(V') with char poly x^3 - 4x^2 + 5x - 2, spectrum (1,1,2) = a, ONE code class, no exceptions: the anchor self-code sits UPSTREAM of the carrier budgets, conditional on the declared geometric inputs; (4) THE RESIDUAL BIT: the 81-pin selects EXACTLY TWO members -- the corpus Q (q32 = 2 = |Z2|) and Q_alt (q32 = 0), difference matrix 2 E32 (the sheet-block coupling); every classical carrier-free certificate coincides on the pair (anticommutator spectrum {6,-4,-2} = (|R+(A3)|, -|mu4|, -|Z2|); commutator charpoly t(t^2+12); det = 3; saturation 81), while the ONE separating certificate is the carrier column budget (9,5,1) vs (9,3,1) -- exactly the forbidden input: the residual freedom is ONE binary coupled-vs-uncoupled sheet-block choice; (5) ablations: dropping (W) widens the bound-3 set 28 -> 1376 over 36 first columns (the winding input carries real load); bound robustness 6 -> 9 adds zero new (L)+(X) members; the forbidden inputs were evaluated nowhere. NAMED LIMITS AS LOAD-BEARING CONTENT: STAGE A ONLY -- whether (S)(W)(E)(M)(L) themselves derive from mu4/D4/H^1 parabolic geometry without family/sheet inputs is EXACTLY the open gate GATE.QGEO.01: the audit is RELOCATED there, not closed (N_fam = 3 is used throughout; family data was never forbidden -- the forbidden list is the CARRIER list); the carrier-free selector of the residual bit is OPEN, and its structural resonance with the split/nonsplit alignment-bit dichotomy (v528/v534, v566 S5) is a TYPED OBSERVATION, not a claim; NO P2 reduction -- AX.P2.01 and ANCHOR.GEN.01 markers untouched; the word 'derived' appears nowhere for any physics statement. UPDATE (2026-07-31, v568, DIAMOND.BIT.SELECT.01): the residual bit is located and given a canonical witness -- the twins generate different integral orders, and the ladder self-consistency (dominant mode = its own eigenvalue ladder (1,2,4)) selects the compiler Q uniquely on all 28 members; the split geometry (q32 = 1) is excluded by the demands already imposed; the physical selection stays open. Markers unchanged. [2026-07-31: Stage B narrowed by v574 -- the involution type is forced by a rank theorem and N_fam = 3 by the double self-consistency (ladder + sat = N^4); (E)(M)(L) stay the remaining gate; see QGEO.WINDING.SELF.01.]
Recorded status: Identity/enumeration [E] (exact admissible-set census 52/28/2 with integer prefilters verified by sympy on survivors; one anchor code class on all 28; separator dissection exact; ablations quantified) + [C] (the seam-line demand as declared geometric input; the bit-resonance observation) + [O] (Stage B = GATE.QGEO.01 relocation; the binary selector); verdict RECONSTRUCTS-TO-FAMILY; no marker moves
Dependencies, status detail and source
Canonical status: [E] 52 admissible under (S)(W)(E)(M)(Z) at B = 6; 28 under the seam-line demand; ONE anchor code x^3-4x^2+5x-2 = spectrum (1,1,2) on all 28 (carrier-free anchor); 81-pin -> exactly 2 (corpus Q vs q32 = 0 twin; all carrier-free certificates equal, separator = the forbidden column budget (9,5,1)); winding ablation 28 -> 1376 at bound 3; bound-stable at 9; 9/9 checks; verdict RECONSTRUCTS-TO-FAMILY
Dependencies: DIAMOND.PARA.SELFCODE.01; FLAV.QGEO.01; GATE.QGEO.01; FLAV.KQ.01; AX.P2.01; ANCHOR.GEN.01; v10; v11; v218; v566
Scripts: v567_carrier_free_q_reconstruction.py
Location: tfpt_1;tfpt_2
Original CSV, line 606