Evaluation of the displayed local target action and actual field direction, not derivation of its coefficients or whole renormalized functional. Existing flavor/Spine outputs are not replaced by a new Yukawa fit. Explicitly declared Dirac-modulus variations remain allowed, including fixed-shape Majorana amplitude and the existing sigma branch. No complete primitive dichotomy or physical completion. The reviewed claimed exact H=0 decoupling and H!=0 failure are not proved by its determinant-only coefficient. Permutation extrema of a single linear mixing invariant do not classify stationary points of the whole master.
Read the exact result, assumptions and evidence
Result
The original v252/v254 call varies q(H)M with supplied Yukawas. Its displayed local target quartic yields the Higgs tadpole, not independent matrix-Y stationarity. The whole96 radial family with Majorana retained has exact quadratic/quartic trace identities, including4Tr(DY²DMR²)t², and the corresponding contracted radial tadpole. Bound coefficients,gap,reference andeta retain chain terms. The reviewed further identification of the original APS generator with a function of h² is absent from the cited definition; only the already known pure PF<=G branch is settled. The reviewed original master already contains relative Z and determinant terms; The reviewed separate extra Gamma_H is not specified there and may double count. Differentiate the actual shared field dependence in the existing expression. The explicit logdet coefficient alone is not the derivative of the whole master: the relative Z contribution can change it already at first field order. An exact scalar Gaussian control refutes that inference without replacing the original TFPT source.
Required assumptions
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Given global quaternionic SM mass loop with fixed Yukawas
Use already fully derived v252/v254 particle LR one-form family M_H=(q(H) tensor I_nf)diag(Yup,Ydown),q(H)=[[phi1,phi2],[-barphi2,barphi1]],with fixed Yukawa matrices and common represented/trivialized SM gauge space. Determinant-winding test requires nowhere-zero H along closed loop and invertible Yukawas. Normal geometric bundle clutch is not identified with this global matrix; Majorana and genuine additional bundle transport are separate data.
Original gap-normalized relative P1 action
Original source defines chi_seed=1/lambda_1^+(|B_Sigma|), S_prim=Tr f(D_rel/chi)-Tr f(D_ref/chi)+i pi Deltaeta/2 for declared spectral test profile. D_rel/ref are geometric odd/even parts; varying reflection, boundary domains, reference, state and eta must be retained. This is the given source function, not a new coupling or physical event rule. Scalar quarter CAR realization and NS/native field dictionary remain explicitly conditional.
Original admissibility and graded-source interfaces
v42 defines P_adm through primitive seam/Cauchy,gap,color and determinant conditions; v31 closure assumes an RP CAR kernel without identifying it with the old circle. v42 exp(W_k[J]) is a formal parent integral; spectral action, positive geometric marginal and full graded source are not equated. The separate eta term of the master functional is retained. Seek an original local image, not global Hilbert equivalence.
Only shared leading distances with the stated equal weighting. Different q/p spectra, unequal weights, full mode sums and actual sector-dependent original C6 residue packets with additional length-six windings remain outside the exclusion. Frobenius exponents are not a boundary clutch without an actual operator dictionary.
Read the exact result, assumptions and evidence
Result
Original diagonal TOTAL lengths Lu=(7,3,0),Ld=(7,5,2),Le=(8,5,3) have sorted gap ratios3/4,3/2,2/3; separate numeric left/right lists are not supplied. A common single-leg list requires one ratio. For equal-weight same-list two-leg readers, normalize x=(0,1,t): all six relative S3 permutations are degenerate or give only t-1 and its reciprocal. No arbitrary real triple reproduces all three original rows. Entire class is analytically decided.
Required assumptions
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Common leading triple distances with equal two-leg weights
Restricted candidate class only: arbitrary shared real triple x, sector positive scales/offsets and permutations, single leg or equal-weight same-list two legs. Not a P1 axiom. Different lists/weights, full sums and extra operator histories lie outside.
Only the specified bare kernel class without additional relative readers or noncommuting actual holonomy words. No general TFPT CP obstruction, Majorana/theta claim or identification with full Pstr. Singular parameters are outside the inverse-square-root domain. Outside the common-real class, twisted contributions in both sectors are not necessary for algebraic CP: invariant Yu and one-sector twisted Yd=I+Pdiag(1,2,i) have Tr([Hu,Hd]^3)=-1440i. This is not an original TFPT mass derivation.
Read the exact result, assumptions and evidence
Result
The same D=diag(1,omega,omega²) conjugates every positive bare H3 and its inverse square root to real symmetric matrices. Real diagonal left/right readers commute with D, so all such Yukawas are simultaneously real and all weak flavor CP-odd invariants vanish. No parameter or genetic search within this fully classified bare class can change the result.
Required assumptions
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Bare positive C3 kernel with real diagonal Yukawa readers
For this restricted analytic class only, take the displayed positive circulant H3 with real parameters and strictly positive eigenvalues, and Y_f=L_f H3_f^-1/2 R_f with real diagonal readers. This is not assumed to be the original P1 consumer or full Pstr compression.
Retain The reviewed positive fixed-point geometry. Its inferred full singlet/CP removability, p-as-second-face and pair-order sign claims fail these concrete tests. No universal exclusion of a separately defined time-order reader or source map. Scalar free annulus propagation is not the whole coupled source, and geometric evaluation is not automatically a permitted unsmeared quantum insertion at a Fuchs mark. Retain original time, spin/norm and conditional CP readouts.
Read the exact result, assumptions and evidence
Result
At the two actual fixed points, all mixed products evaluate nontrivially into distinct twisted fibers and Rfiber=rho P. P-fixed is not a full flavor singlet: an original allowed deck sign already moves the rho line. A zero complete Stokes period or isotropic Cauchy Green form does not erase nonzero source cross correlations. Both q and p sources have two faces. Reversing every pair order is a global minus basis change and leaves the minus U6 action unchanged; the existing alternating orbit map is required.
Required assumptions
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Recovered genus2 cover with retained coefficients
Retain exactly the older three-sheet cover C:w³=(z²-1)/(z²+1), eta=z(1-w³), eta²=1-w⁶, six Weierstrass points p_a=omega^a,q_a=-omega^a, given z base and clock markings. Seek actual flat coefficient lines for existing v117 monodromy, not mere permutation equivalence or an assumed field intertwiner.
Unchanged A0* Fuchsian equation and actual C4 clock
Fix exactly v115 A0*, U=diag(1,i,-i), residues U^k A0* U^-k at i^k and regular base point z=0. Retain base rotation, positive meridian on t=z⁴ and simultaneous fiber basis change. No new Riemann Hilbert solution or D4 reflection lift is assumed.
Complete data of both product-collar faces
A selfadjoint B occurs in an exact normal-independent product equation. The full orthogonal L2 Cauchy graph projection of both labeled faces, their actual fiber identification and independently known positive normal length ell are supplied. Selection of these data from P1/P2 is not presumed.
Geometric Clifford boundary with explicit changed complex structure
Assume the existing free product class B=Gamma A or actual smooth tangential odd finite coefficient B_Phi=Z A-S Phi with total grading Z tensor gamma_F. Apply the standard Clifford boundary functor on the underlying real space with NEW complex structure Ical=i_old Gamma_tot and real structure C0=i_old gamma_n; the dual face has -C0. C0 is old-linear and new-antilinear,not identified with original charge J. This differs from full complex CAR quantization of both independent normal copies. State conclusions use the full graph as the actual quantum covariance in this functor. Its physical selection from P1/P2 is not presumed proved; Phi is a fixed classical background. Keep the fixed normal-independent product collar; a(theta) is smooth Hermitian and even,Phi(theta) smooth Hermitian and odd. No quantization of these bosonic backgrounds.
Exact whole operator/state/time FAMILY covariance of givenF5/96 source under explicitq/generation alignment. D_E alone is not generic sameΦ symmetry;complexY/MR are reflected. Numerical countercontrol is diagnostic;block identity is proof. W_E is algebra-preserving commutant unitary basis equivalence,not innerSMgauge;nativeK/clock/reference admissibility not proved. A sharedG frame change transformsΦ andJ jointly,different from additionalW_E source action. No universalMajorana/OS obstruction fromω. Circle parameter is not derived physicalOS time. No physicalE0cut or antiξ-to-linear seam deduction. Source001/002 already supply boundary operator,Seedstate/time;old local-source embedding on cyclic image suffices,no unnecessary global presentation equivalence. No universal rank6q+p requirement for all doubles. FullP1generation andT1–T8 remain unclosed. Update: abstractparallelK/E8coverextensionisnowproved. Itsactualchiral96restrictiondiffersfromthisearlierparticlewisehypothesis. Adaptednativeclocksfixed,flavorQtransportedandnotuniversalSeedrequirement.
Read the exact result, assumptions and evidence
Result
Original realA equation gives fullE0 field map J_E^rowψ=U_Fbarψ(ibarz). In actual constructedG frame,D_E=Gbase^-1U_FbarGbase=ω²S,S=diag(1,−1,1),unitary,D_EbarD_E=I;independent exact matrix substitution verified. Canonical spinξ cancels against half-form boundary factor in NS coefficients. Under declared v252 generation alignment KE=DcalκP_E has D_E on particles,barD_E on antiparticles,commutesγ_F,J_F andsquares1. Exact coupling images:Y_f^E=SbarY_fS,MR^E=ωSbarMR S,with requiredMajorana transpose. ExistingIcal makes𝒥=IcalKE NEW-complex-antilinear involution transportingC0,C_faces andallfourT_faces slots. Exact𝒥GΦ𝒥^-1=GΦE includesbothcrossblocks;givenprojectorCARstate andallwordstransportwithnonewstate. Givenunitarytime has parameterreversal j_Ee^(ithΦ)j_E^-1=e^(-ithΦE). Realconstructorcontrols return tosameΦviaW_E=VωL_S=Dcal^-1;actualtridiagonalMRrequiresbothfactors.
Required assumptions
Declared comparison of actual q columns with supplied v252 generation slots
For operator comparison identify actual ordered horizontal q columnsG with three supplied generation slots of v252 full_D basis. D_E=Gbase^-1U_FbarGbase acts on particle families,barD_E on antiparticles; Φ remains given full_D constructor with its Y_f and symmetricMR. Retain F5 Ical,C0,T_faces,NS domain and full graph covariance. This alignment is declared comparison input,not derived from kernel count,H0,equal dimensions orP1. Selects no mass,state,physical time or native action permission.
Unchanged A0* Fuchsian equation and actual C4 clock
Fix exactly v115 A0*, U=diag(1,i,-i), residues U^k A0* U^-k at i^k and regular base point z=0. Retain base rotation, positive meridian on t=z⁴ and simultaneous fiber basis change. No new Riemann Hilbert solution or D4 reflection lift is assumed.
Recovered genus2 cover with retained coefficients
Retain exactly the older three-sheet cover C:w³=(z²-1)/(z²+1), eta=z(1-w³), eta²=1-w⁶, six Weierstrass points p_a=omega^a,q_a=-omega^a, given z base and clock markings. Seek actual flat coefficient lines for existing v117 monodromy, not mere permutation equivalence or an assumed field intertwiner.
Geometric Clifford boundary with explicit changed complex structure
Assume the existing free product class B=Gamma A or actual smooth tangential odd finite coefficient B_Phi=Z A-S Phi with total grading Z tensor gamma_F. Apply the standard Clifford boundary functor on the underlying real space with NEW complex structure Ical=i_old Gamma_tot and real structure C0=i_old gamma_n; the dual face has -C0. C0 is old-linear and new-antilinear,not identified with original charge J. This differs from full complex CAR quantization of both independent normal copies. State conclusions use the full graph as the actual quantum covariance in this functor. Its physical selection from P1/P2 is not presumed proved; Phi is a fixed classical background. Keep the fixed normal-independent product collar; a(theta) is smooth Hermitian and even,Phi(theta) smooth Hermitian and odd. No quantization of these bosonic backgrounds.
Constant odd circle-source coefficient with existing sea and full boundary graph
In the existing Clifford chart on L2(S1,K) with finite K let h0=(-i∂theta+alpha)gamma,alpha=1/4 or3/4,gamma*=gamma,gamma²=I. Supply constant selfadjoint odd Phi,{gamma,Phi}=0,and V=-i gamma Phi,h=h0+V on common periodic H1. Compare given CAR sea projectors P_-(h0),P_-(h) and complete pure two-face projector G_ell(h),ell>0,including crossings. This is the existing source class with classical background, not physical selection from P1 or quantization of dynamic bosons.
Complete data of both product-collar faces
A selfadjoint B occurs in an exact normal-independent product equation. The full orthogonal L2 Cauchy graph projection of both labeled faces, their actual fiber identification and independently known positive normal length ell are supplied. Selection of these data from P1/P2 is not presumed.
Actual full v252 gauge lift and original P2 comparison
Given the full unchanged v252 constructor pi,J_F,gamma_F,D_F and its symbolic Yukawa/Majorana inputs. Compare real gauge lift U=pi(u)J_F pi(u)J_F^-1 on the connected unimodular branch lambda det(m)=1 with original oriented P2 carrier E3+E2,Y=(-1/3)^3+(1/2)^2. No full Spin10 source action is presumed. A cyclically fixed neutral family line is considered only with an expressly supplied sigma=(123) and eigenvalue1; its original physical selection is not assumed.
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Closed curve with specified orthogonal spin source;no transfer to original P1/F5 operator,APS domain or physical action. No freely choosing a dual to fit target phase. Character comparison only for reviewed c/Q/deckV4/spin-center,not full Jac[2] zero-mode functor. Odd line exists;unsaturated section vanishes at this singular operator. Three geometric Real forms or complex normal index1 do not determine physical Majorana count or parity cancellation. One complex CAR mode has two Majorana directions yet odd relative vacuum parity;odd transition amplitude is not a positive state. Reuse old primitive seam defect and solved same-spin unit quotient. No general origin no-go or physical completion.
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Result
For supplied V=S0⊗Fq,the orthogonal coefficient form and S0²=K give a symmetric K-valued pairing. Integration by parts makes the closed Dolbeault operator bilinearly skew;its Pfaffian superline exists functorially. With Δ=detH0 and Serre duality,the fixed conventions are λ_coh=Δ²,Det_F=Δ^-2,Pf_F=Δ^-1. Pf_F has reviewed Nq line character and odd parity. This does not identify actual charged W=(16,4):its vertical κ phase−i forbids invariant scalar W⊗W→K. Existing full selfdual W⊕W* source has Pf=±det of its charged block.
Required assumptions
Supplied split carrier with actual q sign lines on genus-two cover
Given existing split carrier E3⊕E2 with unitary split connection onX and actual unitary flat q linesL0,L1,L2 on old coverC:w³=(z²−1)/(z²+1),η²=1−w⁶,product1 andπ*Fv117=L0⊕L1⊕L2. Pull these data toX×C and combine with declared alignment to mA slots. This does not selectX,E,mA or alignment as original P1 quantum source.
Geometric Clifford boundary with explicit changed complex structure
Assume the existing free product class B=Gamma A or actual smooth tangential odd finite coefficient B_Phi=Z A-S Phi with total grading Z tensor gamma_F. Apply the standard Clifford boundary functor on the underlying real space with NEW complex structure Ical=i_old Gamma_tot and real structure C0=i_old gamma_n; the dual face has -C0. C0 is old-linear and new-antilinear,not identified with original charge J. This differs from full complex CAR quantization of both independent normal copies. State conclusions use the full graph as the actual quantum covariance in this functor. Its physical selection from P1/P2 is not presumed proved; Phi is a fixed classical background. Keep the fixed normal-independent product collar; a(theta) is smooth Hermitian and even,Phi(theta) smooth Hermitian and odd. No quantization of these bosonic backgrounds.
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Source-reviewed reuse and concrete representation distinction. Different original clocks need not be identical or incompatible from multiplicities alone. Whole native C12 conjugacy and supplied parallel representatives remain solved. FixedM preservation needs actual transitions,connection and domain; free M↦HMH⁻¹ is not automatic fixed-bundle automorphism for unequal D powers. Fourth-slot anomaly compensation is existing conditional index arithmetic,not a physical fourth generation. Bare E8-bracket/Weyl single-anchor class remains settled in its statistics scope. No original common source,state/R/time derived from this representation comparison. The reviewed I_mu4 identification of normal sphere with flavor base and four equal logarithmic poles is new expressly underived geometry. Conditional uniqueness for fixedO1/simple-pole data holds,but is not origin. Fuchs degree and monodromy need same∇d±a convention:res−1/4 for∇d+a gives+i;ODE+a gives−i withdegree−1. Explicit horizontal point map in original iA(iz)=UA(z)U^-1 convention usesU,notU^-1. Anti-linear coefficient symmetry proves neitherOS norunchanged singularL2 normal index. ActualC3/q-cover alternatives retained.
Read the exact result, assumptions and evidence
Result
Original explicitly contains SU3⊂SU4 via4=3+1. For supplied90degree family-vector rotation R,U=diag(R,1) preserves each of (16,4) and(bar16,bar4). Actual five E8 branches yield248 multiplicities(134,56,2,56) for(1,i,−1,−i),trace132,the already known root-quarter type. In fixed four-basis U induces only h1↔h2 on traceless Cartan,spectrum(1,1,−1),order2; this is not order4R on family vectors. Native glue clock has(60,64,60,64),trace0. Claimed spinlift selection m=(k,k,k,−2−3k),minimal mF/dual,was already proved exactly on22September under extra fixed irreducible parallelity; general covariance does not supply it. Actual mixed output is(E⊕E*)⊗D^(mi+mj+1),with dual pairing of complementary SU4-six indices. Candidate general single-Higgs exclusion ofmA therefore lacks actual physical field map. Later The reviewed dual exclusion from charged-triplet determinant also does not follow from SU3 flavor:forB_k=A+k a I3,tracefree part remainsA for everyk;fullSU4 beta part stays traceless for both natural duals.
Required assumptions
Existing SU3 family-vector embedding into SU4 four
Use original SU3⊂SU4 embedding with4=3+1 and existing E8 branches (45,1),(1,15),(16,4),(bar16,bar4),(10,6). A supplied family-vector rotation R acts by U=diag(R,1), with actual tensor/exterior powers on these branches. This does not identify original v117 connection with physically used marked family connection or derive original joint operator source.
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Independent exact census and analytic review of The reviewed candidate,not original selection of Cartan identification. std⊗sign rotation representation was already proved. No physical spacetime chirality,charge conjugation,OS reflection,Yukawa equality or identification with original C12/48 cover. Twelve X-inverting maps differ by color/weak Weyl actions. Candidate general impossibility claim is therefore too broad. Actual family-vector action is separated in companion finding.
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Result
Under extra fixed orthogonal Cartan identification c(x,y,z)=(-y,x,z),exactly1920of3840 D5 signed permutations preserve full E8 roots,all exchanging the two marked64 sectors. Exactly12 preserve color/weak root blocks and unorientedX line,all X→−X; none preserve orientedX. Even total E8 half-root parity analytically forces odd signs in both blocks. Generally exchange parity is sign:S4→C2. Existing C4 descent t=z⁴ has local signs(−,+,−); intermediate cover s²=t,s=z² already has A4 monodromy and preserves marked64. Full C4 cover is stronger than needed for this grading alone.
Required assumptions
Additional fixed orthogonal identification with the D3 Cartan
For the Cartan test only, identify the v117 rotation triple orthogonally with the last D3 coordinate block of the fixed marked D5+D3 E8 roots. Tested lifts are blockwise signed coordinate permutations. This is not an operator identity implied by original SU3⊂SU4 embedding or a physical chirality identification.
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
New conditional common corollary of supplied family/lift,not P1 selection. Numbers become anomaly coefficients only under actual chiral1+1D field quantization; not an original Ward insertion calculation. Four A3 carriers are not four physical generations or a contradiction to original three-family construction. N×W index proves neither physical4D theory nor ΔB/L transitions. Dual-bundle formula Wm*=ΛoddE⊗⊕D^(−1−m) holds but supplies no actual OS domain/phase/RP map. Whole ordinary genuine heat pair of pure gauge conjugates Dg=MgD0Mg* is exactly zero; not transferred to Padm,marked insertions or unidentified original reflection-pair convention. Native clock,old Clifford/boundary states and whole positive sources retained. No stochastic rescan of settled loop classes. Local retention of the Yukawa seed in finite qM does not refute an upstream TFPT flavor derivation. Originals contain the hard holonomy formula; archived faulty D/P puncture display and existing analytic v117 C4/A4/S4 repair are already reviewed and reused,without claiming new D4 rigidity.
Read the exact result, assumptions and evidence
Result
Same supplied orbit family and existing September22 lift yield chW_m=64+(32+16Σm)x−16xy. For Σm=−2 normal family index has rank0 and ch=−16y. Split mA kernels are K+=2[Rodd⊗L+Reven⊗detV],K−=2[Reven+Rodd⊗Q],16modes each. Fully SM-equivariant Q is detV⊗L*,Y+.5; bare L* would haveY−.5. For commuting Spin10 charges q,signed quadratic mode sum is A_q=(Σm+2)Tr16q². Per-copy coefficients are Y:5/3+10m/3,T3:1+2m,SU3:1+2m and gravity8+16m. Same condition thus links algebraic natural lift to normal charge balance. Mathematical product index is−16d and weighted I_B=I_L=−4d. Conversely new origin identification of τ|winddet| with Dirichlet minimization fails exactly:gε=diag(exp(i[φ+εsinφ]),1) always costsτ but E=1+ε²/2. True HS loop energy has full Fourier equality class h exp(i sign(k)φP),but is an additional functional. Even one fixed hemisphere leaves all projector directions equivalent under unrestricted smooth other-disk gauges.
Required assumptions
Given normal orbit family and four-copy natural spin lift
N=CP1_N and W=P(V) are distinct bases. Supplied SM color C=3_(Y−1/3) and V=2_(Y+1/2) carry E=C⊕(O_N1⊠L)⊕(O_N0⊠Q),Q=V/L=detV⊗L*. D=detE has normal degree1 and is SM neutral. For four integral m_j consider W_m=ΛevenE⊗⊕D^m_j; already proved natural joint lifts have Σm=−2. mA=(0,0,−1,−1) is only a supplied representative. Literal kernels use previously specified split vertical spin connection; virtual family classes persist under smooth variation. A1+1D anomaly interpretation needs actual quantization of these modes; N×W is not assumed physical spacetime.
Given normal spin clutch,weak orbit family and U2 linearization
V=C² with actual SM action e^(it/2)U is supplied. N=CP1 normal spin sphere,W=P(V) separate weak orbit,L=O_W(-1) tautological,Q=V/L. Given degree-one clutch becomes explicit family g(w,φ)=e^(iφ)Pw+I-Pw,E=(O_N1⊠L)⊕(O_N0⊠Q),with split vertical connection and actual H1 domains. E8 application additionally retains named half-root λκ and mixed-carrier line j6. W is not assumed an already original physical parameter space; orbit/dual-section functor is tested as mathematical comparison.
Actual full v252 gauge lift and original P2 comparison
Given the full unchanged v252 constructor pi,J_F,gamma_F,D_F and its symbolic Yukawa/Majorana inputs. Compare real gauge lift U=pi(u)J_F pi(u)J_F^-1 on the connected unimodular branch lambda det(m)=1 with original oriented P2 carrier E3+E2,Y=(-1/3)^3+(1/2)^2. No full Spin10 source action is presumed. A cyclically fixed neutral family line is considered only with an expressly supplied sigma=(123) and eigenvalue1; its original physical selection is not assumed.
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Applies to the documented derived discrete stratum and c_u/c_d; it does not determine U_f* or absolute amplitudes.
Read the exact result, assumptions and evidence
Result
The active TFPT text states that Q geometry, det R=8, and rigidity of c_u/c_d=55/117 are established on the derived stratum; the continuous wall point U_f* is needed only for absolute amplitude normalization. The ratio is not an open monodromy/amplitude calculation.
Required assumptions
P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.