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The original technical record remains available here. For explanations, reviewed conclusions and the history of research questions, start with the knowledge atlas.

Research snapshot 2026-11-02 · 783 active ledger claims · 706 scientific findings · 707 registered scripts. These are different inventories, not counts of independent physical confirmations.

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What does this inventory cover?

Every one of the 783 active ledger IDs is included. All 788 ledger rows, including superseded rows, remain in the download. The reviewed research corpus contains 707 findings; 1 administrative record is excluded from public scientific content, with the omission recorded in the coverage file.

The scientific findings include 515 established scoped results, 63 conditional results and 128 scoped exclusions. These labels describe the recorded finding. They do not upgrade its parent physical goal or overwrite the original ledger.

Sources were matched to their recorded hashes and line ranges at this snapshot. Bounded text excerpts make sources available even when a source is not in the earlier public release. Any omitted administrative lines are explicitly marked. This is source coverage, not a new execution of Python, Lean or Wolfram proofs.

Atlas revision 4d8fcdb3587f8e4cc0898e5c · snapshot SHA256 7c23438352ba021cef5aa0999c31e5c242fbc6ed12b172e4d35fb6a68f65dbb4

5 matching records · page 1 of 1

Original ledger status

CAR.LADDER.01

CAR.LADDER.01

PASCAL LADDER THEOREM (Target B residual sharpened to zero slack): the closure 2^{g-1} = sum_{k<=K} C(g,k) has for every K exactly one solution g = 2K+1 (K=1..6 scanned over g=1..60; structurally: odd-g midpoint identity by binomial symmetry, even-g strict straddle around 2^{g-1} excludes all even g). EXACT EQUIVALENCE [I]: the carrier selection g=5 <=> the truncation degree K=2 - the Pascal-selection residual (CAR.PASCAL.01/REDTEAM.B.01, typed [A]/[P]) is therefore EXACTLY the one named hypothesis Quadratic Boundary Locality (ARCH.QUAD.01). NEIGHBOUR WORLDS [I]: K=1 -> g=3 (one-family world), K=2 -> g=5 (three families), K=3 -> g=7 (nine families), K=4 -> g=9 inconsistent (N_fam = 255/9 not integer). OVERDETERMINATION [I]: only K=2 also satisfies the independent rank closure g+N_fam = 8 = rank E8 (CAR.UNIQ.01/v14) - two independent selections agree. THE ONE HYPOTHESIS [P] (recorded, not claimed): QBL = the seam Calderon datum is a single two-point kernel and the carrier code is generated by the degrees it certifies (K<=2); if proven from reflection positivity the carrier choice upgrades [A]/[P] -> [L] along QBL => K=2 <=> g=5 => 16 => D5 => E8

Recorded status: Identity/Lattice [I]/[L] (ladder, equivalence, controls, overdetermination) + [P] (QBL)

Dependencies, status detail and source

Canonical status: Identity: g=5 <=> K=2 exactly; Target B residual = one hypothesis (QBL)

Dependencies: CAR.PASCAL.01; REDTEAM.B.01; ARCH.QUAD.01 (QBL named); CAR.UNIQ.01 (v14)

Scripts: v108_pascal_ladder.py

Location: tfpt_3_e8_audit_bootstrap;tfpt_1

Original CSV, line 191

Original ledger status

CAR.PAIR.01

CAR.PAIR.01

SHEET-PAIRING LEMMA (the first exact representation-theoretic anchor of the QBL programme; connects red-team Target B to the sheet Z2): character-exact weight-multiset results from the D5 spinor weights (+-1/2)^5 alone - (1) NO SCALAR WITHIN A SHEET: zero-weight multiplicity of S+xS+ (and S-xS-) is 0, because the odd slot count g=5 flips the sign parity of -w (a parity theorem of the five-slot code): there is no invariant bilinear pairing inside one chirality. (2) THE SCALAR LIVES ACROSS THE SHEETS: S+xS- has zero-weight multiplicity 16 = 1+5+10 (the Pascal triple) and equals exactly, as a weight multiset, the even-form tower Lambda^0 + Lambda^2 + Lambda^4 (256 = 1+45+210) with zero-mode grading (1,5,10) = the carrier code (Lambda^0,Lambda^1,Lambda^2)(C^5). (3) SHEET-DIAGONAL = ODD FORMS: (S+xS+) u (S-xS-) = 2Lambda^1 + 2Lambda^3 + Lambda^5 exactly (512 = 20+240+252): within-sheet pairings are odd-form-valued, never scalar. (4) the scalar-bearing tower tops at Lambda^{2K} with K=2 - bilinear seam data reach exactly the Pascal-ladder degree (CAR.LADDER.01). (5) QBL READING [P] (recorded, not claimed): the seam's single scalar two-point kernel is necessarily a SHEET PAIRING (chirality-off-diagonal, the same Z2 as GATE.METRIC.07 / FLAV.SHEET.01-03); the remaining step is to show the Calderon kernel supplies exactly this pairing and nothing beyond - then QBL => K=2 <=> g=5 closes the carrier choice

Recorded status: Identity [I] (character-exact multiset identities) + Physical [P] (QBL reading)

Dependencies, status detail and source

Canonical status: Identity: scalar pairing only across sheets; even tower tops at 2K; QBL anchored

Dependencies: CAR.LADDER.01; ARCH.QUAD.01 (QBL); GATE.METRIC.07 (sheet Z2); FLAV.SHEET.01-03; CAR.PASCAL.01

Scripts: v109_sheet_pairing.py

Location: tfpt_1

Original CSV, line 193

Original ledger status

CAR.PAIR.02

CAR.PAIR.02

CALDERON-SHEET SELECTION THEOREM (which Calderon involutions certify a scalar kernel; the v109 follow-up): on the carrier H = S+ (+) S- the certified bilinear data of an involution eps (eps^2 = 1) are the matrix elements <f, eps g>; the v109 singlet counts per sheet block (0, 0, 1, 1) give the exact selection statement - (1) SELECTION THEOREM [I] (finite model): a sheet-ODD involution (swapping S+ <-> S-) certifies EXACTLY 1+1 = 2 = |Z2| invariant scalar kernels (one per orientation), a sheet-EVEN involution certifies NONE: 'a scalar two-point datum exists IFF eps is sheet-odd'. (2) THE TWO KERNELS = THE GLUE AMBIGUITY [I]: the kernel count 2 = |Z2| matches exactly the two Lagrangian glues (GLUE.LAGR.01, swapped by single spinor conjugation) - the Calderon scalar channel carries precisely the glue ambiguity, resolved by the same sheet choice. (3) LADDER GENERICITY [I] (anti-overclaim control): for g = 3, 5, 7 the within-sheet zero-weight count is 0 and the cross count is 2^{g-1}; sheet-oddness forces the half-spinor relation K = (g-1)/2, NOT the value g = 5 - the g-selection stays with the independent rank-8/integrality closure (CAR.RANK / CAR.LADDER.01). (4) QBL RESIDUE SPLIT [P] (recorded, not claimed): (a) INTERFACE 'the seam Calderon involution is sheet-odd' - structurally natural, because the one-sided collar / double-cover deck is the SAME |Z2| that halves c3 = 1/(2 x 4pi) (exchanging cover sides is sheet-odd by construction); (b) ANALYTIC CORE 'the two-point kernel certifies only slot-degrees <= 2' - the genuine locality statement. Two named parts; proving both closes QBL => K=2 <=> g=5

Recorded status: Identity [I] (finite-model selection theorem + ladder control) + Physical [P] (residue typing)

Dependencies, status detail and source

Canonical status: Identity: scalar kernel exists iff involution is sheet-odd; 2 = |Z2| kernels = glue ambiguity; QBL residue split into interface + analytic core

Dependencies: CAR.PAIR.01; CAR.LADDER.01; ARCH.QUAD.01 (QBL); GLUE.LAGR.01 (two glues); GATE.METRIC.07 (sheet Z2)

Scripts: v110_calderon_sheet.py

Location: tfpt_1

Original CSV, line 194

Original ledger status

CAR.QTRANS.01

CAR.QTRANS.01

QUADRATIC-TRANSPORT THEOREM (the transport half of the QBL analytic core becomes a theorem): grade seam transport by Clifford degree in the 10 field operators on the 5-slot Fock space (S = Lambda^*(C^5), 32-dim, S+ = 16 code states; integer Jordan-Wigner model, spanning claims via full-rank certificates mod p = 1000003, valid over Q) - (1) PARITY [exact block-zero]: all 10 linear words are sheet-ODD (map S+ -> S-), all 45 quadratic words are sheet-EVEN: code-preserving transport has even Clifford degree (the same Z2 as CAR.PAIR.01/02). (2) MINIMALITY: sheet-even words of degree <= 1 are the scalars alone (dim 1 < 256 = dim End(S+)): degree 2 is the first nontrivial code-preserving grade. (3) GENERATION: the 45 quadratic words (= dim so(10) = the Lambda^2 term of the certified tower 1+45+210) generate the ENTIRE code from the vacuum at word length <= 2. (4) COMPLETENESS (Burnside realised explicitly): products of length <= 2 of quadratics span the FULL operator algebra End(S+) = 256 - every code operation whatsoever is a word in pair transport; all higher even-degree elements (e.g. the 210 quartics) are redundant. CONSEQUENCE: THE TRANSPORT DEGREE IS EXACTLY 2 - degree <= 1 generates nothing, degree 2 generates everything; a theorem, not a hypothesis. (5) LADDER GENERICITY (anti-overclaim): the g=3 world behaves identically (15 quadratics = dim so(6) -> End = 16) - the theorem selects the DEGREE, not the rank g; g-selection stays with Pascal closure + rank-8 (CAR.LADDER.01/CAR.RANK). (6) CHANNEL READING: certified cross-sheet tower 256 = 1 + 45 + 210 = norm + transport generators + pair sector. (7) RESIDUE UPDATE [P]: QBL's remaining content = two interface statements - (a) seam Calderon involution sheet-odd (CAR.PAIR.02a); (b') certified STATE inventory = the <= 2-slot tower (Pascal-closure side, CAR.LADDER.01); nothing about transport remains hypothetical

Recorded status: Identity [I] (exact finite theorem; mod-p certificates valid over Q) + Physical [P] (residue typing)

Dependencies, status detail and source

Canonical status: Theorem: transport degree exactly 2 (minimal complete grade); QBL residue reduced to two interface statements

Dependencies: CAR.PAIR.01; CAR.PAIR.02; CAR.LADDER.01; ARCH.QUAD.01 (QBL); CAR.RANK

Scripts: v111_quadratic_transport.py

Location: tfpt_1

Original CSV, line 195

Original ledger status

CAR.COUNT.01

CAR.COUNT.01

SELF-COUNTING CHANNEL (the Pascal closure is an IDENTITY of the certified channel, not an extra requirement; closes the state half of the QBL analytic core at the structural level): (1) CANONICAL BIJECTION [I] - for odd g negation w -> -w maps the S+ weights bijectively into the opposite sheet (the CAR.PAIR.01 parity stated as a bijection), so the Cartan-neutral kernels of the certified channel S+xS- are exactly the pairs (w,-w), ONE PER CODE STATE: # neutral certified kernels = dim S+ = 2^{g-1} exactly (4, 16, 64 for g = 3, 5, 7) - the channel counts the code. (2) PASCAL PARTITION [I]: the same neutral set graded by pair-degree m (zero modes of Lambda^{2m}(C^{2g})) has sizes C(g,m) for m = 0..K = (g-1)/2; g=5 -> (1,5,10). (3) THE CLOSURE IS AN IDENTITY [I]: two countings of one set give 2^{g-1} = sum_{m<=K} C(g,m), symbolically verified for all odd g = 3..13 - the closure CONDITION of CAR.LADDER.01 is the channel counting itself. (4) HODGE FOLD [I]: the code's minus-sign grading C(g,2j) equals the folded binomial C(g, min(2j, g-2j)) with min(2j,g-2j) <= K - every code sector appears as a pair-degree <= K sector (g=5: code (1,10,5) vs channel (1,5,10), same multiset, folded order). (5) LADDER GENERICITY: the identity holds for every odd g and carries NO g-selection - the selection stays with rank-8 (g + N_fam = 8, CAR.RANK/v14) and ladder integrality (CAR.LADDER.01). (6) RESIDUE RE-TYPE [P] (recorded, not claimed): QBL clause (b') loses its closure burden - given the sheet-odd kernel (CAR.PAIR.02a) the channel automatically contains exactly one neutral kernel per code state at pair-degree <= K, so (b') is the definition of the channel; the remaining physical input is 'the seam certifies through a single scalar 2-point kernel' (for the established free c=8 seam net Wick extends the single kernel to the entire even tower by determinants); the carrier selection itself is carried by rank-8 + integrality - QBL is the structural consistency frame, no longer a missing selector

Recorded status: Identity [I] (bijection + exact multiset gradings + symbolic binomial identity) + Physical [P] (residue re-type)

Dependencies, status detail and source

Canonical status: Identity: Pascal closure = two countings of the channel's neutral set; one kernel per code state; QBL residue = single 2-point-kernel input

Dependencies: CAR.PAIR.01; CAR.PAIR.02; CAR.QTRANS.01; CAR.LADDER.01; CAR.RANK; ARCH.QUAD.01 (QBL)

Scripts: v112_selfcounting_channel.py

Location: tfpt_1

Original CSV, line 196

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 closure for fixed inputs

Which closure equation follows for a fixed seam projector, and which inputs still need justification?

  • Resolved in scope: Separate root calculation from source selectionRead result
  • open: Derive alpha inputs and Thomson transfer
  • 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 response search with original-source decision

Which additional joint response actually follows from original source equations, and which entire finite process family remains undecided without it?