Established within the stated premises
finding:original_common_metric_and_whole_source_ward_fix_vacuum_pole_geometry
Original Lorentz geometric branch uses the same Clifford anchor and g contraction for retained matter/Higgs/gauge kinetics. Under WHOLE source covariance and invariant vacuum, the Legendre map carries Ward identity to the same Gamma_ren and its Hessian transforms in actual field representations. Physical scalar pole factors then depend on common q_g. Internal mixing,masses,residues create no independent species-speed parameter. QFT008:199–254 supplies the precise source covariance/OS hypothesis, not inferred from the principal symbol alone. Preserve reference cancellations and nonpropagating blocks.
Scope: Positive application of existing geometric source and conditional whole quantum implication. Does not newly select invariant vacuum or prove whole source covariance. H thermal state,KMS modular boost and ordinary Hamiltonian time are not identified. No equal massive group/medium velocities or LR-bound-as-Lorentz-metric claim. Shared pole kinematics alone is not full IR universality.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Original covariant geometric source branch and invariant vacuum
Actual original Lorentz geometric branch with common D_geo Clifford symbol and its actually retained nondegenerate kinetic blocks. Quantum implication assumes WHOLE source/reference/regulator or renormalized Ward covariance and a flat Lorentz-invariant vacuum with actual field representations. This does not follow from the symbol alone and is not asserted for every H KMS state or optional lattice caller. Retain full moments rather than cumulants as OS family and R044/R045 reference cancellations.
premise:original-covariant-geometric-source-and-invariant-vacuum
Established within the stated premises
finding:complete_mixed_kinetic_tensor_has_uniform_common_metric_error_bound
Retain all mixed terms of actual Hermitian block K_t omega²+2K_ts^a omega k_a-K_s^(ab)k_a k_b. Common coefficient-tensor factorization K^(mu nu)=g^(mu nu)Z requires B(n)=0,C(n)=c²I in common orthogonal coordinates. Actual residual budgets imply for each positive characteristic sqrt(eta²+1-epsilon)-eta <= v/c <= sqrt(eta²+1+epsilon)+eta. Hermitian companion [[-2B,sqrtC],[sqrtC,0]] covers all real nonzero roots; scalar Rayleigh root proves the bound without [B,C]=0. No new model or parameter fit. epsilon/eta are not invented from static native data.
Scope: Analytic whole-class result for stated positive Hermitian quadratic principal blocks. Necessary/sufficient concerns named coefficient-tensor factorization, not arbitrary dressed quantum pole kernels. No actual IR residual estimate without its source calculation, full higher-vertex/RG theorem, or identification with group/UV-front velocity. Static X/Y equality determines neither K_t nor K_ts.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Whole kinetic tensors of the same source and actual residual bounds
Use actual retained Hermitian two-derivative physical block with K_t>0 and all K_ts^a,K_s^(ab) from the same source,state and coordinates. Separate masses and other derivative orders for the principal-symbol test. Whitened B(n),C(n) are Hermitian. Quantitative bound assumes actual uniform ||B||<=eta c,||C-c²I||<=epsilon c²,c>0,eta>=0,0<=epsilon<1. c is the same original metric/unit conversion, not species calibration. Native static data do not automatically supply these residual bounds.
premise:same_source_hermitian_quadratic_kinetic_tensor_and_residual_bounds
Established within the stated premises
finding:actual_ir_native_split_compares_distinct_actions_and_coupled_stiffness_is_static
Unchanged original calls were actually executed. v1011 B8 retains full256D physical logZ and gives Kx=.2921723188988497,Ky=.2921723189292652. Downstream spinor consumer uses separate free Wilson slab and static link factor, already declared not_same_Fock_sector_no_volume_limit. v1012 velocity_witness returns original SPLIT: QWZ Bloch momentum,gauge holonomy and0D deck phase are distinct parameter actions. Thus neither whole common pole test nor physical Lorentz NoGo. Preserve positive coupled/free witnesses and scoped later fixed-background/parent closures.
Scope: Targeted actual consumer replay, not full suite or corpus-wide absence claim. No new gauge/temperature/model choice. Supplied thermal responses are not invariant vacuum and need not all have one medium speed. Limited numbers do not derive original couplings, physical IR status or ledger promotion.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Actual native IR callers with their distinct parameter actions
Unchanged original v1011 B6/B8 calls and ir_universality_witness_probe.velocity_witness with original parameters and source classes. Distinguish full256D physical B8 Hamiltonian/thermal logZ from its separate free spinor companion. Spatial Bloch momentum,global holonomy and0D deck phase are distinct actual operations, not presumed one momentum. No new temperature/coupling is selected as physical input.
premise:actual_ir_native_callers_with_their_distinct_parameter_actions
Established within the stated premises
finding:r104-original-det16-factor-has-complete-nongaussian-thermal-source
Exactly Ebeta=aI+bP,a=exp(-2beta),b=1-a,Z=65536a+b. For every A,omega(A)=(aTrA+b<phi|A|phi>)/Z. All equal-time Cij=deltaij/2 and anomalous Fij0 agree but <ni nj>=1/4+b/(4Z),i≠j and <Omega16>=b exp(i phi)/(2Z). Omega is original annihilator. Source nonquasifree for beta>0. Whole native covariance and120 density pairs checked at3 beta.
Scope: Exact supplied ambient factor, not whole cell or physical gauge state. Temporal two-points not claimed equal. Relative phase invisible below degree16, but common frame change can change convention. Diagnostic beta, no clock calibration or new global NoGo.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Literal separated DET16 mirror factor of v1013 table
Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.
premise:r104-literal-v1013-separated-det16-mirror-factor
Established within the stated premises
finding:r104-original-det16-word-source-has-matrix-free-cubic-renewal
For every finite ordered CAR word and finite nonnegative heat intervals, PBP=<phi|B|phi>P reduces projector cuts to cyclic edges. Dynamic sum over unique smallest cut counts every subset once. Bitstates0/F give matrix elements,CAR signs free trace. O(k³) arithmetic operations and O(k²) memory at fixed16 modes. Implemented with no Hilbert matrices in evaluator.7 native4/8/16 words including Omega/adjoint agree within2.082e-17;12 four-words with independent expansion within3.34e-16.
Scope: Ordinary untwined ambient trace. Does not implement arbitrary gauge twists or unknown source legs; no uniform relative-error or bit-complexity theorem. All-word proof analytic; finite comparisons native controls. No whole4D cell executed.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Literal separated DET16 mirror factor of v1013 table
Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.
premise:r104-literal-v1013-separated-det16-mirror-factor
Established within the stated premises
finding:r104-separated-det16-factor-reduces-whole-source-with-bound-gauge-weights
Ambient rest source factors exactly as ZR[J] product Zm. With actual product gauge action,same physical Gauss trace reduces to |G|^-|Vint| sum_g TrR[UR(g)e^-beta HR ordered rest source] product_x[aTrUm,x+b<phi|Um,x|phi>]. Explicit canonical Gamma(r),det r1 gives a det(I+r)+b. Original Spin10 center q^N has four weights65536a+b,256a+b,b,256a+b,directly checked. Preserve weights and unnormalized Z0.
Scope: Conditional whole-source reduction, not solved rest lattice.256 rest states per cell,256^V at volume. No v1013 gauge/P1 clock identity from center order. Mirror source words require actual gauge insertion and graded order. v1007 mirror hopping outside class. No blanket dismissal of other parents, primitive coupling derivation or physical total promotion.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Literal separated DET16 mirror factor of v1013 table
Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.
premise:r104-literal-v1013-separated-det16-mirror-factor - Actual product gauge action and rest-source legs
Actual supplied original finite gauge action factors as UR(g) tensor product Um,x(gx), preserves same H and uses same original whole Gauss projector. Rest-source legs are gauge compatible. No concrete v1013 mirror representation or P1 clock identity is added from group order. Gamma(r),det r1,no implementer phase is only explicitly supplied subcase.
premise:r104-factorized-original-gauge-action-and-rest-source-legs - Original regular finite gauge links and complete interior Gauss stars
Actual regular finite-G links with original matter representation. Impose the original Gauss=1 projectors only for complete contained stars preserved by actual H. Open boundary with a path from every projected link component to an unprojected boundary vertex. Local gauge actions commute and preserve each interaction term. Admissible observables belong to A^G; do not add broken seam/boundary stars. No periodic neutrality or alternate sector choice.
premise:original-regular-finite-gauge-links-and-complete-interior-gauss-stars
Established within the stated premises
finding:r111-original-positive-parent-clause-leaves-time-generator-residual-unbound
Delta_adm=sum K_r² forces K_r Padm=0. With the actual same penalty representation,the assumed physical parent split reduces to Hpar+Htr,pos. After a genuine common field/boundary identification,r=h_source-hpar must come from the whole source-time derivative. Printed class allows R_s=R0+sHpar,s>=0;each ordered excited eigenvalue E_j(s)>=E_j(0)+s m0 without commutation. For a fixed admitted zero-time word F,psi=F Omega orthogonal to Omega,-C_s'(0)+C_0'(0)=s<psi,Hpar psi>>0 for s>0.
Scope: Only named original finite parent class;no ambiguity of one complete source or new physical coupling/projector. Locality uses existing R0/Hpar supports;charge blocks require common reduction. Primitive H_adm[F,0],whole physical generator,joint spectrum and F1 remain not_computed/open. All existing source/state/OS results retained.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Original positive parent class at fixed source time
Finite original parent Hpar>=0,ker Hpar=C Omega,gap m0>0. QFT005 assumes H0=Hpar+sum K_r+R0 with positive additions annihilating Omega. Compare only printed R0 conditions at fixed original time. Identify field/source spaces only through an actual common realization;no multiple generators for one whole S/Z source.
premise:r111-original-parent-domination-fixed-time-comparison
Established within the stated premises
finding:r111-original-c6-marked-time-response-has-exact-positive-three-rate-defect
C(k)=(2r1^k+2r2^k+r3^k)/36,r1=(a-2b)/(a-b),r2=(a-2b)/(a+b),r3=(a-2b)/(a+2b). Literal symbolic6x6 original matrix at k0,1,2:three zero residuals. Fourth identity:C0C2-C1²=b²(a-2b)²(3a²+8ab+7b²)/[108(a-b)²(a+b)²(a+2b)²]>0,zero residual. The same response has no single flat excitation rate.
Scope: Exact response of existing internal transport operator. Diagonal probe is not an originally physically identified field word. No 3+1D momenta,masses or primitive H_adm derivation. Known spectral/Perron boundary retained;four symbolic identities actually executed. No F1/TOE/ledger promotion.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Original C6 Green operator and mathematical diagonal probe
Same EM005 C=(U6+U6*)/2,Y=(aI-2bC)^-1,a>2b>0,R=(a-2b)Y with uniform Perron vector. O=|0><0|-I/6 is a mathematical diagonal probe on the given space,not an originally physically identified field or physical time calibration.
premise:r111-original-c6-green-and-diagonal-label-probe
Established within the stated premises
finding:r112-original-ps-majorana-orbit-forces-quadratic-fluctuation
On the actual existing quaternion branch A2=hat(u)[A1,hat(u)*] and D+A1+A1tilde+A2=UDU* exactly. In the whole96 operator only the Majorana block A2_(p,anti)=ww^T tensor M_R,w=(q_R-I)e_nu is nonzero. For all original Yukawas TrDlin²-TrD²=4|alpha-1|²TrM_R* M_R. At original quaternion(0,1) the quartic defect is12Tr[(M_R M_R*)²]+16Tr[(Y_e*Y_e)(M_R M_R*)]. Actual84 real-direction execution,five symbolic identities and independent block/quartic check. Coefficient1 follows from the original gauge action,with no new coupling.
Scope: Necessary covariant completion of existing conditional PS branch. Whole relative spectral invariance requires the actual common selector/deck/reference/domain transport. No new physical scalar amplitude,primitive S_adm or quantum-source identity,joint generator or physical spectrum. General CCvS theorem is existing mathematics; new content is explicit evaluation on the original operator.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Actual PS quaternion branch with original Majorana block
Mathematical scope of existing v252 realization: whole96 operator with four complex3x3 Yukawas, symmetric M_R, original J_F/Kswap and actual u=rep_PS(I2,q_R,I3). Order zero and JD=DJ hold; unitary lift U=uJuJ^-1. No primitive selection of PS gauging or full SU4 implementation is assumed.
premise:r112-original-ps-quaternion-majorana-subgroup
Established within the stated premises
finding:r112-inverse-variation-fixes-action-boundary-and-bosonic-backreaction
The exact original skew Euler operator E=M_b Psi integrates by scaling homotopy to S_F=1/2 Psi^T M_b Psi. In the existing charged chart the original input/output polarization gives S_F,open=int barpsi(partial_r+h_b)psi-barpsi_out psi_out and on solutions -barpsi_out R_b psi_in. The actual unintegrated zero-fermion value fixes B[b]. Joint bosonic variation is delta S_B+1/2 Psi^T delta M_b Psi. Exactly one compatible fermionic integration gives delta(S_B-logPfM)=delta S_B-1/2Tr(M^-1deltaM),with actual reference/eta phase. A genuine linear quantum-source identity yields the same conditional quadratic action; integrating the same bosons produces effective higher fermion terms as their cumulants.
Scope: Explicit classical variational derivation on the existing field chart; no new CAR or quantization assumption for the homotopy. Exact Euler/zero-field identifications are conditional; the same Cauchy graph alone is insufficient. Existing whole Clifford source remains,but is not automatically primitive physical S_adm. No identification of C0 with finite J_F or equality of branches. Zero modes retained as source polynomial; logarithmic bosonic cumulants require actual Z_B!=0. Full primitive action and joint physical spectrum remain underived.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Exact Euler operator and unintegrated zero-fermion restriction
Conditional variational statement on the same original Clifford field chart: M_b=C L_b with the actual skew pairing and compatible domain/boundary polarization is the exact off-shell fermionic Euler operator, not merely an equation with the same classical solution set. The bosonic remainder is the identified original unintegrated zero-fermion value. Fulfillment of these physical identifications by the whole primitive S_adm source is neither assumed nor established. Pfaffian logarithms only on the actual invertible domain with original orientation.
premise:r112-exact-offshell-variation-and-unintegrated-body
Established within the stated premises
finding:r113-original-gauge-brst-cannot-generate-full-fermion-contact-directions
The original BRST clause is <sO>=0. The ideal generated by fermion coordinates is preserved by v_a(Psi)=T_aPsi,all regular combinations and supercommutators. But partial_Psi_i Psi_i=1 lies outside that ideal. Thus R112's full linear fermion-contact identity does not follow from these original gauge directions alone. The original color selector also gives P_r c_q†=c_q†P_(r-q),hence P0 c_q†P0=0 for nonzero Z3 charge; actual neutral words retain charged intermediate paths.
Scope: Excludes only the specified BRST-to-linear-contact inference. Does not exclude physical TFPT source or demand ambient CAR/independent charged field variations universally. Extended SD/BV constructions carry different supplied data. No physical source or spectrum closure.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Regular original gauge directions of fermion fields
The reviewed original gauge/BRST Ward rule acts on fermions through represented linear gauge directions v_a(Psi)=T_a Psi and dually on barPsi. Regular coefficients,ghost extensions and supercommutators are allowed,not inverse Grassmann coordinates. An additionally introduced collective Schwinger-Dyson shift symmetry is not part of this clause.
premise:r113-regular-original-gauge-fermion-directions
Established within the stated premises
finding:r113-whole-marked-source-fixes-joint-generator-and-selector-contacts
Existing whole relation Q_t[b]c_i†=sum c_j†Rji[b]Q_t[b] gives Q_t[1]c_i†=sum c_j†Q_t[Rji] under actual boson integration. With whole P outside and A[B]=P Q[B]P,exactly A[1]c_i†-sum c_j†A[Rji]=P Q[1][P,c_i†]+sum[P,c_j†]Q[Rji]P. Under stated time/domain premises the actual marked short-time jet gives Vji=Q0[hji],[H,c_i†]=sum c_j†Vji and in the compatible finite joint space H=HB+sum Vji c_j†c_i. HB is fixed by the original empty-fermion matrix leg C_t00=exp(-tHB),not a new physical vacuum or traced Z[0]. Nonreducing P requires the exact sewing defect and return memory.
Scope: Joint generator derived analytically within existing conditionally exterior source branch. All dynamic bosons and genuine mixed operator weights retained,no separate averages or fiberwise P_b. Unbounded commutant statement is not proved by a formal core commutator. Actual primitive-source identity remains an application premise; no new comparison parent. Primitive S_adm,H_tr,pos and joint physical spectrum not evaluated. Original OS source needs no extra universal CAR/Fock requirement.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Existing whole Clifford source with compatible marked time jets
Conditional scope: same whole original Clifford field chart,Q_t[b]=s_t[b]Gamma(R_t[b]),with actual unnormalized ordered boson integration and the same whole projector on the same space. Generator additionally requires the actual compatible semigroup time Q_t[1]=exp(-tH),R0=I,Rdot0=-h and differentiable whole marked caller. Vji=Q0[hji] are actual bosonic operators with matching adjunction. Compatible finite regulator; unbounded extension requires strong domain reduction. These premises do not identify the branch with the primitive physical source and impose no universal CAR or Gaussian requirement.
premise:r113-matched-whole-clifford-boson-source-and-short-time-jet
Established within the stated premises
finding:r105-original-det16-generator-has-exact-top-charge-and-density-hierarchy
Native H=2I-P0-P16-exp(i phi)Omega*-exp(-i phi)Omega. Whole density coefficients [1,1,-1,1,...,1,-2] through occupation degree16/CAR degree32. All65536 diagonals checked,operator identity error0. On same16 CAR algebra,33-point phase filter exactly separates all q=-16..16,H16=<F|H|0>Omega*,target -exp(i phi)Omega*. Native charge support0,±16,top-block error0,numerical phase residual3.308e-15. C4 average aliases0,±4,±8,±12,±16 and does not select this coefficient.
Scope: Native target operator and general finite charge reader. Diagnostic phase conjugation is no new physical U1/P1 clock. Rest-valued coefficient remains operator. Three matrix elements necessary,not sufficient for whole identity. Need full generator/source/state/time/reference map. No completed original S/Z comparison or F1 closure.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Literal separated DET16 mirror factor of v1013 table
Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.
premise:r104-literal-v1013-separated-det16-mirror-factor
Established within the stated premises
finding:r105-low-charge-open-transfer-cannot-equal-original-det16
With number bandwidth s,rest-operator <F|H^j|0>=0 for js<16. For s2,orders0..7 vanish even with Majorana pairing and whole noncommuting boson dynamics; ||H||<=M gives norm<=exp(eps M)(eps M)^8/8!. DET16 instead gives eps exp(i phi)+O(eps²). Thus no exact same open short-time source in class. Earliest possible order is not a nonzero guarantee. Regular common reference/time map t0=0,t'0≠0 preserve first zero test.
Scope: Conditional class result,no global TFPT/IR refutation or blanket Gaussianity after boson integration. Do not declare S_seam/top or other vertices absent/zero. Distinguish Pexp(-epsH)P from exp(-epsPHP);endpoint fixing suffices for first derivative,higher compressed bandwidth requires suitable filtration control. No such Padm property asserted.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Actually identified16 CAR fields and open time boundary
Same original16-mode CAR algebra,vacuum0,full stateF,N=sumni and actual reconstructed transfer kernel/generator with rest factor,domain and bound reference. Do not identify action S_adm with H. No identification by equal dimension or assumed physical U1 symmetry. Carry actual projection and source maps.
premise:r105-same-sixteen-mode-open-transfer-map - Whole charge-bandlimited generator and regular boundary class
On same unfiltered open16-field boundary,every whole generator term changes number by at most s<16. Rest operators have no hidden action on those modes and may be noncommuting. Finite bounded regulator or common domain/required derivatives. Fixed epsilon-independent linear rest evaluation with allowed derivative interchange. No thermal preweight,mixed boundary,different effective H or singular limit. This premise is NOT asserted for whole actual TFPT action.
premise:r105-number-bandlimited-full-generator-and-regular-boundary
Established within the stated premises
finding:r105-reviewed-det16-chain-supplies-parent-not-common-source-derivation
Original probe labels vertex construction exploration;v1002 supplies projector/probe phase pi/7,memo calls identities inputs,v1013 table supplies2(I-P). This reviewed chain is no independent S_adm/Z origin proof. Source45 W_k defines whole common action in aggregate;bilinear lattice action demand also has S_seam/top and later Hamilton/thermodynamic amendments. Thus no global r2 assumption or blanket source absence. DET16 remains candidate parent,no new universal F1 gate.
Scope: Judgment on cited original passages actually read,not exhaustive corpus absence. Preserve G/H/I,F1 and all prior proved components. Symmetry/anomaly/same ground alone do not close IR/whole origin. Native short-time tests check target operator,not another S/Z caller without field map.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Literal separated DET16 mirror factor of v1013 table
Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.
premise:r104-literal-v1013-separated-det16-mirror-factor
- experiments/theory-contracts/original-local-source-variable-background-20261102/DET16-ORIGIN-TEST.txt, lines 1–190
Source SHA256: 8fbb0d9da82e3a49c3ce1f6b0aa69a3034df059c6e891d2c3c0fbe3285dbf19b
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/R105-REVIEW.txt, lines 1–61
Source SHA256: 994a17df703f734b64fefbd9926b5ce0e622011a7aaa895796438e24f9d1a11e
bounded-sanitized-excerpt · current-at-snapshot · 27 administrative lines explicitly omitted
- experiments/theory-contracts/original-local-source-variable-background-20261102/check_det16_origin.py, lines 1–119
Source SHA256: 6c289c666342ff3184c53999ecb3884221e3ea664e74ca710666bc7aab140b65
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/det16-origin-results.json, lines 1–145
Source SHA256: e4a4b5f663b25f04eaf835d88d2186049491383cc84ade5e8843a9e19b4ce0e2
bounded-sanitized-excerpt · current-at-snapshot · 3 administrative lines explicitly omitted
- verification/v1002_spin10_mirror_projector.py, lines 1–60
Source SHA256: 84f7cd7987887ee071d7e05872285ab274ae329f6bcfa693be69bb52add19a4c
bounded-excerpt · current-at-snapshot
- experiments/tfpt-discovery/spin10_det16_projector_probe.py, lines 1–45
Source SHA256: 945b5bd8cc0d21e75bf894a5f153ab9e14557b02c41d2b7352d2f8e38a1becfb
bounded-excerpt · current-at-snapshot
- documents/articles--2026-08-30--det16_mirror_gap_theorem_en/sections/001-section-concrete-model-and-frozen-finite-input.tex, lines 42–77
Source SHA256: 2bd1cf05c074b4605313844ae704081ceaaafd521b009faa1fa0bfc467e82f10
bounded-excerpt · current-at-snapshot
- documents/articles--2026-08-30--tfpt_thermodynamic_dynamics_en/sections/001-section-the-concrete-uniformly-local-class.tex, lines 57–111
Source SHA256: 9f53a07911c9e2e8f6b2f594b7c154f5a8dc0faeb2e9a429cc04a229cc6f4294
bounded-excerpt · current-at-snapshot
- documents/tfpt_research_contracts/sections/015-source.tex, lines 304–366
Source SHA256: 2ec9c3ab6903e9d29823ee5a52ef588cf8504848df6c51c21f0412f31f9eb886
bounded-excerpt · current-at-snapshot
- documents/tfpt_research_contracts/sections/017-source.tex, lines 153–238
Source SHA256: 492599a0d20043a5589ca610ce7e1ebceffb8de043eae8eb406e4469d3e4be83
bounded-excerpt · current-at-snapshot
- documents/archive--tfpt-45--source_extracts--04_qft_source/sections/007-subsection-renormalized-physical-and-scheme-readout-laye.tex, lines 1–28
Source SHA256: 9c1c587cbd61fc4034649d778d16f1ee0e8c1e1189885babb3d8148a6fe72d7c
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/JOINT.txt, lines 48–64
Source SHA256: 99266285ad9afed2b029294a5548db9c8bf2988ab4c90561c7620fe178776286
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/ORIGINAL-PRODUCER.txt, lines 1–200
Source SHA256: 4eea03561e2d6971bea515b27f91bfd3dcf22bd53ed632f9e8ba0bfa580ed5da
bounded-sanitized-excerpt · current-at-snapshot · 17 administrative lines explicitly omitted
- experiments/theory-contracts/original-local-source-variable-background-20261102/ORIGINAL-PRODUCER.txt, lines 201–299
Source SHA256: 4eea03561e2d6971bea515b27f91bfd3dcf22bd53ed632f9e8ba0bfa580ed5da
bounded-sanitized-excerpt · current-at-snapshot · 6 administrative lines explicitly omitted
Established within the stated premises
finding:r106-native-sixteen-field-time-evaluation-distinguishes-original-parents
Independently sum ALL16 a_i to obtain N_a=N+8(P0-PF-exp(i phi)Omega*-exp(-i phi)Omega). Original H_add=Delta N_a has top block -8Delta exp(i phi),H_flat2Q -exp(i phi). No Delta/common clock factor matches n1 andn2 together. At common gap2,norm difference30. Full actual unitary time executed on all16 OLD c_i:alpha_flat(c)=c+(exp(-2it)-1)Pc+(exp(2it)-1)cP. Dressed alpha_flat(a)=a+(exp(-2it)-1)Pa,alpha_add(a)=exp(-iDelta t)a;max-entry residual9.551e-16. Ordered two-excitation word exp(-2it) versus exp(-2iDelta t).
Scope: Executed application of parent distinction already explicit in v1027/J,not new fundamental origin theorem. Preserve correct whole time/source chart of given flat parent. Euclidean conjugation separate from actual unitary time. Primitive S/Z OS H_adm on these fields NOT computed,JSON null/not_computed. Cited seed/OS passages lack this concrete field action;no corpus-wide absence. U containing supplied targetphi is no independent origin,but valid whole source chart. No physical F1/IR or ledger closure.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Literal separated DET16 mirror factor of v1013 table
Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.
premise:r104-literal-v1013-separated-det16-mirror-factor - Original even DET field rotation on native16 fields
Native v1002 c_i and supplied phase pi/7,original v1027 even-n conjugation rule U and a_i=Uc_iU*,N_a=sum a_i*a_i,Delta>0. v1027 concrete control is n4/phase0;same proved rule applied to native n16 with mathematical phase transport. Delta2 only matches the one-particle gap for comparison,not source selection. Independent primitive H_adm is NOT identified thereby.
premise:r106-original-even-det-canonicalization-on-native-sixteen-fields
Established within the stated premises
finding:r107-actual-car-time-derivation-fixes-det-coefficient-without-autonomous-cell
With actual CAR embedding,(id)^-1 sum_IJ delta(E_IJ)E_JI=H-I tensor Tr_FH/d,d65536;offdiagonal blocks fully fixed as rest operators. Short reader i epsilon_i E_(0,Fwithouti)delta(C_i)P0=P0 tensor H_F0 for every i. Preserve all rest and couplings. OS Omega need not be CARempty:source vector xi=E_0J Omega/sqrt omega(E_JJ) exists by sumEJJ=I when actual field legs admissible;not a new physical ground state.
Scope: Conditional algebraic derivation,not identified primitive field map or computed H_F0. No autonomous Fock cell/isolated16 or extra vacuum requirement. Unbounded identities only on stated domain/form class. Preserve whole original source/quotient.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Actually embedded CAR fields and original time derivatives
Conditional mathematical bridge:actual unital CAR16 embedding in original reconstructed field space with adjoints,source legs,charge/Gauss map and original delta=i[H_adm,.]. Finite bounded regulator or common matrix-unit/adjoint-invariant core with required H/form products. No autonomous cell or identification by Splus dimension16. Embedding is NOT asserted supplied for primitive P1/v1002 source.
premise:r107-actual-unital-car-field-embedding-and-time-domain
Established within the stated premises
finding:r107-original96-family-leakage-has-full-yukawa-majorana-identity
Original v252 full_D gives sum_g||Q_gD_FP_g||HS²=||MR||HS²+2sum_f n_fsum_g≠h|Yf_gh|²,n_u,d3,n_e,nu1. P_g selects16 PARTICLE columns,MR factor1 not2. Actual builder executed on90 real/imaginary coefficient directions;exact integer Gram diagonal,weights6/6/2/2 offdiagonalY,0 diagonalY,1 MR;cross/diagonal error0. No physical Y/MR chosen.
Scope: Whole symbolic input-class comparison for internal one-particle D_F,not H_adm or new physical mass/mirror source. Nonzero right side forbids naive autonomous compression of these families;open coupled16 fields remain possible without global autonomy gate. Existing flavor results preserved.
Required premises and original source excerpts
- 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.
premise:typed-source-structures
Established within the stated premises
finding:r107-reviewed-original-carrier-and-os-route-leaves-native-field-identification-uncomputed
Boundary002 includes tau_t,omega,Theta as seed data,functor Seed→Bordism. Full S/Z→Schwinger→OS H_adm route preserved. Carrier Splus=LambdaevenC5 has16 internal species,v1002 quantizes CAR16 on Lambda(Splus) with65536 cluster states. Reviewed Primitive003/Completion027,Carrier002,QFT004/005/007/008 and Companion006 supply no here computed native mirror smearing/source/time derivative map. Conditional formulas do not close origin. Primitive H_F0 explicitly null/not_computed;the primitive source-identification objective remains open.
Scope: Judgment on15 actually read source intervals and executed matrix class,no exhaustive corpus absence or in-principle impossibility.39 literalH_adm files/27 nearby hits are navigation,not proof. Preserve G/H/I/J,whole source/Z0/ref/eta,state/time/RP,E8/clocks,memory,Y/flavor/alpha and52 completed F1 subtasks;no ledger promotion.
Required premises and original source excerpts
- 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.
premise:typed-source-structures
- documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/002-section-intrinsic-closed-branch-and-canonical-rigid-obje.tex, lines 103–143
Source SHA256: 1de90a4a7379bef804cc7815d72c0f86bb398a5771e9b00997c4bb15e8815f9e
bounded-excerpt · current-at-snapshot
- documents/archive--tfpt-45--source_extracts--02_carrier_source/sections/002-subsection-internal-carrier-stabilizer-and-one-family-pa.tex, lines 188–301
Source SHA256: ad8c8fced742cdbff008a9fb8b581d1aa75d92c3665ab9de21b4a821c74b42ef
bounded-excerpt · current-at-snapshot
- documents/archive--tfpt-45--source_extracts--04_qft_source/sections/007-subsection-renormalized-physical-and-scheme-readout-laye.tex, lines 3–145
Source SHA256: 9c1c587cbd61fc4034649d778d16f1ee0e8c1e1189885babb3d8148a6fe72d7c
bounded-excerpt · current-at-snapshot
- documents/archive--tfpt-45--source_extracts--04_qft_source/sections/005-subsection-admissible-schwinger-functions-minkowski-loca.tex, lines 2–40
Source SHA256: 8bf0a37157505ca12b90154dbe41a29c49a503686a8493dffd63945f205e0af6
bounded-excerpt · current-at-snapshot
- documents/archive--tfpt-45--source_extracts--04_qft_source/sections/005-subsection-admissible-schwinger-functions-minkowski-loca.tex, lines 144–160
Source SHA256: 8bf0a37157505ca12b90154dbe41a29c49a503686a8493dffd63945f205e0af6
bounded-excerpt · current-at-snapshot
- documents/archive--tfpt-45--source_extracts--04_qft_source/sections/008-section-relative-reflection-positivity-with-fermions.tex, lines 215–254
Source SHA256: 898aa879cf6a3eb6464d3180274bc2fc028408aeec9676af70a862dad9c3f4dc
bounded-excerpt · current-at-snapshot
- documents/archive--tfpt-45--source_extracts--04_qft_source/sections/004-source.tex, lines 110–156
Source SHA256: a5d1cc26f80d2f1d5af3d89b94cf8ff8912b572040614d4e1c27f1fe3b747126
bounded-excerpt · current-at-snapshot
- documents/archive--tfpt-45--source_extracts--04_qft_source/sections/004-source.tex, lines 241–284
Source SHA256: a5d1cc26f80d2f1d5af3d89b94cf8ff8912b572040614d4e1c27f1fe3b747126
bounded-excerpt · current-at-snapshot
- documents/archive--tfpt-45--source_extracts--technical_companion_source/sections/006-subsection-infrared-continuations-of-the-seam-transfer.tex, lines 171–210
Source SHA256: a3268d08cad1134cea4f47818ed1234fe222d46481906bff1477e89373654ddd
bounded-excerpt · current-at-snapshot
- documents/archive--paper-latex--tfpt-42/sections/003-subsection-primitive-relative-spectral-dynamics.tex, lines 1–35
Source SHA256: 8683d7459140a06d5e03a06adefd05bf7e6538356e4e4da4397133aa991b8fe4
bounded-excerpt · current-at-snapshot
- documents/archive--paper-latex--tfpt-42/sections/003-subsection-primitive-relative-spectral-dynamics.tex, lines 217–290
Source SHA256: 8683d7459140a06d5e03a06adefd05bf7e6538356e4e4da4397133aa991b8fe4
bounded-excerpt · current-at-snapshot
- documents/archive--paper-latex--tfpt-42/sections/003-subsection-primitive-relative-spectral-dynamics.tex, lines 398–403
Source SHA256: 8683d7459140a06d5e03a06adefd05bf7e6538356e4e4da4397133aa991b8fe4
bounded-excerpt · current-at-snapshot
- documents/archive--paper-latex--tfpt-42/sections/027-subsection-primitive-completion-from-the-boundary-kernel.tex, lines 229–355
Source SHA256: 59f89c232f7636919ee049f25e066f2ba7937a0e636333b9c4eab2fef17c5d42
bounded-excerpt · current-at-snapshot
- verification/v252_full_finite_triple.py, lines 63–116
Source SHA256: 820254440e178430422e50605067775656236602996307f67c9e69124ba5d163
bounded-excerpt · current-at-snapshot
- verification/v1002_spin10_mirror_projector.py, lines 1–60
Source SHA256: 84f7cd7987887ee071d7e05872285ab274ae329f6bcfa693be69bb52add19a4c
bounded-excerpt · current-at-snapshot
- experiments/theory-contracts/original-local-source-variable-background-20261102/ORIGINAL-HADM-FIELD-MAP.txt, lines 1–180
Source SHA256: 8a8cbf5d59055ccb060e6947d0c34449db9ccf6a95463104e9e8150a733fc52c
bounded-sanitized-excerpt · current-at-snapshot · 11 administrative lines explicitly omitted
- experiments/theory-contracts/original-local-source-variable-background-20261102/R107-REVIEW.txt, lines 1–58
Source SHA256: a3e7c5db624b30081c762d1e752e5a8de4fc812ea83d6cd0b37ad0fee5170dc7
bounded-sanitized-excerpt · current-at-snapshot · 29 administrative lines explicitly omitted
- experiments/theory-contracts/original-local-source-variable-background-20261102/original-carrier16-result.json, lines 1–24
Source SHA256: b418dacc3ac6a22a04e03a4b3aaa0a270c7e00ed44b3d749bf8f162ef320b5aa
bounded-excerpt · current-at-snapshot
Non-scientific attribution omitted from public display.
Established within the stated premises
finding:k-full-original-word-kernel-determines-transfer-and-whole-det-test
Full source forces G,K_t,h=-K'_0. Equal full pairing/closed form and actual sewing determine transfer;discrete caller uses whole fixed step. DET jet:(H_R+2I)E-2I p_phi includes all density/top/rest coefficients. Actual ordinary finite thermal trace gives H_ij=-C'_ij(0)/q(P_a) for i!=j using original full-block matrix insertions. Diagonal differences follow from the same insertions;the common scalar follows from the actual unnormalized positive trace. Mirror indices need all rest tests B. Original source/reference remain bound. Positive compression leakage proves sewing requirement.
Scope: Exactly full-source/time premise. Primitive16 source values NOT computed. No new boundary state,measure,profile,vacuum,autonomous cell or continuum gate;thermal Liouvillian separate.
Required premises and original source excerpts
- 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.
premise:typed-source-structures - Whole original word source with actual time sewing
Same given valid complete original source q with fields,positive OS pairing/null quotient,reflection,actual time shift and semigroup sewing on common operator core/equal closed forms. Ordinary finite thermal trace insertion reader only when that caller is actually supplied. Unnormalized source/reference/eta remain bound. Purely discrete source requires only whole fixed one-step kernel. No new source or universal continuum premise.
premise:k-original-full-word-kernel-and-actual-time-sewing - Actually identified16 CAR fields and open time boundary
Same original16-mode CAR algebra,vacuum0,full stateF,N=sumni and actual reconstructed transfer kernel/generator with rest factor,domain and bound reference. Do not identify action S_adm with H. No identification by equal dimension or assumed physical U1 symmetry. Carry actual projection and source maps.
premise:r105-same-sixteen-mode-open-transfer-map - Literal separated DET16 mirror factor of v1013 table
Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.
premise:r104-literal-v1013-separated-det16-mirror-factor
Open questions preserve their achieved subresults
Each research problem has its own scope. A resolved task does not close its whole physical parent. Historical tasks remain explicitly historical in the source record.
Future quotient and positive GNS reconstruction
What is determined by complete future behavior, and what additional positive word-kernel source is needed to reconstruct a cyclic operator realization?
- Resolved in scope: Future quotient from complete rRead result
- Resolved in scope: Conditional GNS reconstruction from supplied KRead result
- open: Select complete K from the original source
Historical: common source, state and event selection
Outside the active mathematical research program since the user's23Oct2026 decision. Historical question: Do the original principles derive a common physical source together with its state, dynamical events, and physically observed fields?
Seam connection and family action
Does the joint discrete theorem determine a concrete connection and a family coupling compatible with the determinant seam action?
- Resolved in scope: Separate classes from actual transportRead result
- open: Derive the common connection from the original source
Physical time and complete transfer
Do the original reflection/projector structures determine the full physical time generator and required field transfer?
- Resolved in scope: Reuse the sign-projector counterexampleRead result
- Resolved in scope: Reuse conditional full-transfer reconstructionRead result
- open: Identify the physical complete TFPT transfer
- Resolved in scope: Reuse complete collar reconstructionRead result
- Resolved in scope: Classify homogeneous GKLS embedding of the shared register familyRead result
- Resolved in scope: Decide every homogeneous GKSL logarithm of the fixed M4 channelRead result
Flavor ratio and absolute amplitude scale
Which flavor quantity is fixed on the derived discrete stratum, and which requires the continuous holonomy anchor?
- Resolved in scope: Reuse the derived flavor ratioRead result
- open: Determine the absolute holonomy amplitude
Alpha: derived terms, unique root and physical EM identification
Where do the factors and closed alpha equation come from, which provenance steps are proved, and which precise physical EM identification remains open?
- Resolved in scope: Separate root calculation from source selectionRead result
- open: Derive the actual EM functional variation and Thomson identification
- Resolved in scope: Establish the unique global positive rootRead result
Geometric flow and gravity normalization
Do common matter-only observations derive geometric horizon flow and the area response from the original gravity source?
- Resolved in scope: Record scope of fixed original functionalRead result
- open: Derive geometric modular response and area coefficient
Clocks and complete neutral source response
Which complete quadratic response can the actual clock images reconstruct?
- Resolved in scope: Reconstruct all neutral quadratic matrix directionsRead result
- open: Derive physically admissible probe access
Clock action on charge, time and quarter transition
How does the actual Gaussian J act on the complete marked source?
- Resolved in scope: Construct original J lift with complete time/charge actionRead result
- open: Derive physical meaning of the frame orbit
Which responses distinguish charged time action?
Which data separate sources with identical complete neutral vacuum response?
- Resolved in scope: Determine twist blindness completelyRead result
- Resolved in scope: Reconstruct twist from charged responsesRead result
- open: Derive actual charged source probes
Which seam action distinguishes native opposite charges?
Can existing native charge fields produce the quarter-twist time response of the seam?
- Resolved in scope: Check native fields and response discriminatorRead result
- open: Derive actual marked seam/state action
Constructive seam search: operators, state and source compatibility
What does the complete phase search decide, and which additional state information prevents a false source solution?
- Resolved in scope: Finite search closed, actual winding and parity equivalenceRead result
- Resolved in scope: Positive finite-word state extensionRead result
- Resolved in scope: E8 current group conditionally determines the P signRead result
- Resolved in scope: The same shift functional hides distinct ground statesRead result
- Resolved in scope: No phase hit realizes the unchanged sourceRead result
Which partner actually belongs to the original seam?
Which charge, state type and time action belong to the root partner and original sheet pairing?
- Resolved in scope: Concrete pair operator; source neutrality is not hypercharge neutralityRead result
- Resolved in scope: Fixed quarter time splits the color/weak multipletRead result
- Resolved in scope: Explicit conjugation for the existing sheet pairingRead result
- Resolved in scope: Actual partner map between quarter domainsRead result
- Resolved in scope: Bilinear sheet pairing is not Hermitian kernel selectionRead result
- Resolved in scope: Actual quarter conjugation transports the supplied markingRead result
- Resolved in scope: No time-stabilizing orthogonal repair of the fixed markingRead result
- Resolved in scope: Spinor16 is a state sector, not a 16-real one-particle fieldRead result
Automated construction of operator maps and sources
Which tools generate operator maps, learn counterexamples, and can search for the full positive source?
- Resolved in scope: Calibrate new search without supplying the target mapRead result
- open: Synthesize a joint field, marking and transfer dictionary
- open: Search for the positive common source kernel itself
- Resolved in scope: Automatically construct, certify and distinguish finite kernelsRead result
- Resolved in scope: Repair search conditions against source types and collar controlsRead result
- Resolved in scope: Reconstruct multi-field sewing of the canonically identified boundary sourceRead result
- Resolved in scope: Retain absolute reference amplitude in searchRead result
- Resolved in scope: Integrate supplied free source including boundary response and scalarRead result
- Resolved in scope: Convert the full finite CAR kernel into a link functionalRead result
- Resolved in scope: Close original recursive word reconstruction with memoryRead resultRead result
- Resolved in scope: Retain whole original caller through scale and readoutRead resultRead result
- Resolved in scope: Execute actual shared Higgs source with full matter words and local RPRead resultRead result
- Resolved in scope: Reduce whole constant original Higgs spectral fiberRead result
- open: Resolve original geometric Higgs residue sign and field map
- Resolved in scope: Evaluate local original Higgs heat identification and whole finite consumerRead resultRead result
- Resolved in scope: Execute whole variable bound Higgs reference and original scale mapRead resultRead result
- Resolved in scope: Execute whole inner Higgs scale/source and normal kernel transportRead resultRead result
- Resolved in scope: Execute given whole superconnection and normal spectral readerRead resultRead result
- Resolved in scope: Determine own-admissibility and whole total-chiral spectral readersRead resultRead result
- Resolved in scope: Derive whole scale-energy map,normal profile and relative flowRead resultRead result
- Resolved in scope: Execute original Green energy producer and mixed scale readoutRead resultRead result
- Resolved in scope: Match current action argument and common Higgs/gravity weightsRead resultRead result
- Resolved in scope: Execute whole original curvature consumers and Higgs radial sourceRead resultRead resultRead result
- Resolved in scope: Execute original whole four-ghost source and geometric type testRead resultRead result
- Resolved in scope: Execute original moving normal kernel derivative and whole source responseRead result
- Resolved in scope: Decide fixed original O1 source and normal operator placementRead result
- Resolved in scope: Compare whole Higgs mixture and covariance reader on invariant four-field witnessRead result
- Resolved in scope: Test exact bounded cutoff on whole ordinary Higgs volumeRead result
- Resolved in scope: Test whole original circle joint mode and IR Higgs normalizationRead result
- Resolved in scope: Test original O1 mode covariance against whole Higgs-law classRead result
- open: Reconstruct original localization from the whole process
- Resolved in scope: Test bare native-code word compression against actual localityRead result
- Resolved in scope: Decide original geometric local-time class and execute actual interval readerRead resultRead result
- Resolved in scope: Execute actual regional two-face partner and supported charged wordRead resultRead result
- Resolved in scope: Execute original color marginal, modular field law and complete class readerRead resultRead resultRead result
- Resolved in scope: Reconstruct common Higgs law from whole original quarter source towerRead resultRead resultRead result
- Resolved in scope: Execute original record action on Doily and ordered whole source responseRead resultRead resultRead resultRead result
- Resolved in scope: Locally implement original record process and test unchanged exterior sourceRead resultRead resultRead result
- Resolved in scope: Execute original elliptic insertion,whole source and causal responseRead resultRead resultRead result
- Resolved in scope: Evaluate actual joint Higgs and color group sourceRead resultRead result
- Resolved in scope: Execute whole original graph color reader with typed original center selectorRead resultRead result
- Resolved in scope: Execute original color fixed source and first inherited grading testRead resultRead result
- Resolved in scope: Execute actual original color-spinor CAR four-word and complete spin-sector sewingRead resultRead result
- Resolved in scope: Decide actual color admissibility of density operations and coordinate regionsRead resultRead result
- Resolved in scope: Execute actual whole seam-operation class and two-face responseRead resultRead result
- Resolved in scope: Execute entire original C6 word expansion with source amplitudeRead resultRead result
- Resolved in scope: Execute original collective Higgs force source and entire mean dualRead resultRead resultRead result
- Resolved in scope: Execute original all-mode force with actual time and whole sourceRead resultRead result
- Resolved in scope: Execute original local space/time force source and causal liftRead resultRead result
Origin reverse selection, field dictionary and original P1 kernel
What does reverse selection of P1/P2 give for concrete local fields and multi-field responses, and which identification with the original P1 kernel has actually been proved?
Observable reality: minimal conditions and counterworlds
Which operational conditions are independently required, which inequivalent models satisfy them, and which observable distinctions remain for selection?
Formal carrier core: unbounded Pascal uniqueness and finite glue
Which carrier and glue statements are already present in the papers and Lean sources, and which physical selection does not follow?
- Resolved in scope: Classify the unbounded Pascal proofRead result
- Resolved in scope: Classify the formal finite glue scopeRead result
Active mathematical program: marked seam monodromies and lattice lifts
Which marked seam/lattice transport geometries, lift classes and local-coefficient invariants arise from existing clock/reflection/quartic data? First complete case: sign lifts of fourJ representation on CP1 minusμ4.
- Resolved in scope: Define marked seam category and factor formulaRead result
- Resolved in scope: Completely classify quarter-clock four-puncture liftsRead result
- Resolved in scope: Determine central class and all subgroup restrictionsRead result
- Resolved in scope: Determine full G0 cocycle and classRead result
- Resolved in scope: Determine native4/5/6local cohomologyRead result
- Resolved in scope: Classify unrestricted G31 reflection monodromiesRead resultRead result
- Resolved in scope: Determine lift class beyond G0Read result
- open: Classify additional reflection/clock equivariance and mapping-class quotients
- Resolved in scope: Equivariant lifting and divisibility by eightRead result
- Resolved in scope: All62clock obstructions and central transport variantsRead result
- Resolved in scope: Actual group comparison and central pushout exclusionRead result
- Resolved in scope: Complete invariants and explicit collisionsRead result
- Resolved in scope: Compare E6 and E7 slices with the actual quarter clockRead resultRead resultRead resultRead result
- Resolved in scope: Classify original character-valued G31monodromy liftsRead resultRead result
- Resolved in scope: Determine E7-pair action on all original lattice fieldsRead result
- Resolved in scope: Completely connect E6/E7 cuts to the original compilerRead result
- Resolved in scope: Compare common covers and actual clock carriersRead result
- Resolved in scope: Prove shared representation consequence for48,4/3 and5/4Read result
- Resolved in scope: Completely decide joint compiler-field-cover constructionRead resultRead resultRead resultRead result
- Resolved in scope: Reconstruct canonical local compiler field source from C4Read resultRead result
- Resolved in scope: Eliminate redundant sector and multiplicity assumptionsRead result
- Resolved in scope: Classify native equivariant markingsRead result
- Resolved in scope: Classify pure quarter clock mapping class quotientRead result
- Resolved in scope: Determine complete cut algebra and lossless tetrahedron transformRead resultRead resultRead resultRead result
- Resolved in scope: Completely compare scalar glue and actual native compiler classRead resultRead resultRead resultRead result
Common clock sectors, quartic geometry and operational reconstruction
Which previously separate data of the original TFPT core follow from a common clock and representation geometry, and which complete finite measurement classification follows without asserting physical source selection?
Automatic joint origin hypotheses and source responses
Which simple joint rules connect the existing P1 source chain,double cover,information and compiler,and which whole candidate classes can be decided automatically using actual source consequences?
- Resolved in scope: Decide even-matter word class and check actual AI operator expressionsRead resultRead result
Existing TFPT derivations and correction of repeated gap diagnoses
Which common source/reconstruction chain already exists in the old original papers, and which purported global gaps arose from reducing P1 or choosing an optional CAR route?
Complete physical Hamiltonian source with Gauss sector and thermal word limit
Which whole source is constructed on the original local Hamiltonian route, how do physical constraints and thermal words follow, and how is its actual IR response distinguished from the original covariant geometric source branch?
Original TFPT source versus DET16 mirror vertex
Does the same original TFPT source produce the concrete DET16 generator and whole responses,or is a computable parent supplied as extra input?
Whole original source and canonical vacuum attachment
Which vacuum joins are already in the whole original source,and how do H ground source and R104 field/Gauss source join completely without second state choice or parent change?
Craig chiral measure and the original whole TFPT source
Which concrete operator and Berezin measure map preserves the original TFPT source when connecting Craig overlap measure?
- open: Compare original4D fermion Hessian and measure line with Craig
Cyclic quantum universe and original Genesis connection
Does original TFPT dynamics yield the exact cyclic quantum return in the September/October press lead and a geometric Genesis transition?
- open: Test periodicity and Genesis response on the same whole source
Physical constants as joint constraints on the TFPT source
Which independent constants constrain the original common source, and can one relative heat product supply gravity and vacuum energy together?
- open: Evaluate original volume, curvature and gauge responses together