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Explore the foundations and current research.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Historical attempts

Original experiment and contract metadata. A reported PASS is a historical verdict, not an independently reviewed result. Only explicit Atlas links are used when filtering by research area.

564 matching attempt records

physical observable bridge round19PASS

physical-observable-bridge-round19

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • validation.json lines 1–274

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/physical-observable-bridge-round19/validation.json

    16b0aa3b8e6ba382f3615f1f4c6fa21bedf20de3b3f29c4c75e5d96ebfbb8e4d

  • PROOF.md lines 1–377

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/physical-observable-bridge-round19/PROOF.md

    707749a643e988df5085adafe720a79454f904368858a659673589adcb931430

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:physical-observable-bridge-round19

plaquette gap certificateUNCUT_ORIGINAL_PLAQUETTE_AND_CUBE_GAPS_WITH_FAILED_BARE_Q_BULK_EXTENSION

Uncut plaquette and coupled-cube gaps, with a failed global extension

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • validation.json lines 1–520

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/plaquette-gap-certificate/validation.json

    10fd98af7bb9b3c65def50acf0167fa8dad7953bab021355487637e7a44684a5

  • README.md lines 1–368

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/plaquette-gap-certificate/README.md

    a82c5d8fa5445638194b1d7823ce180e1eac0d6fbdb06c7797617dff4fcd4f05

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:plaquette-gap-certificate

poisson charge round28CERTIFIED_PARTITION_IN_DECLARED_SUBCASE

Round28: an evaluated partition, in a declared subcase

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • validation.json lines 1–121

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/poisson-charge-round28/validation.json

    23a2491e2d3d0370883e085bf65dde3c72a1cb0048a905d4429627c337514c2b

  • PROOF.md lines 1–244

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/poisson-charge-round28/PROOF.md

    bcab65c05a8bca2bab10fc6fa4d9e46ad99f9199529138eefc587fa8645b69ae

  • README.md lines 1–54

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/poisson-charge-round28/README.md

    cfb824135a22c92d1921ac3d4fff057c431becf431fb9f48279ce6179b18d82e

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:poisson-charge-round28

polarization history bridgePARTIAL

Reicht die volle Besetzt/Unbesetzt-Polarisation aus, um die normgeordnete Vakuumamplitude exakt auf eine Crossblock-Historie zu reduzieren, und gibt es eine dimensionsfreie Stabilitätsschranke für ...

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • contract_index.json lines 1–36

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/polarization-history-bridge/contract_index.json

    427eb4377cf41f625c78663c99d1031c666c9679afc98b1ae48978823b30f4df

  • validation.json lines 1–133

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/polarization-history-bridge/validation.json

    5cdb8408063062901787f1d2df222daa5d5b5bfac965f56c3cd5a6daa7ad712d

  • README.md lines 1–266

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/polarization-history-bridge/README.md

    ebbf12b793075e67cd70fdb6e6e44d90c8e94b23cecb2d1d4f9d3c15b44d867e

  • checker.py lines 1–196

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/polarization-history-bridge/checker.py

    6f56240dbc892581986fc0ee631b15390838cfa708dcbaf926155541c06e247b

  • session_snapshot.json lines 1–54

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/polarization-history-bridge/session_snapshot.json

    f32483d7057d231c15f2017b25efb771d0160504965e51982434201cbf17d2b2

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:polarization-history-bridge

positive hopping band round22PASS

positive-hopping-band-round22

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • validation.json lines 1–404

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/positive-hopping-band-round22/validation.json

    4e3495fa85ec8c4df7f51ba3657629e08dd699bcd4a98761bf63250f8cd4abf6

  • PROOF.md lines 1–131

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/positive-hopping-band-round22/PROOF.md

    f04800b05e2f09098211ada037e8392e598526b6620e4e2232b62219abbbc93d

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:positive-hopping-band-round22

positive hopping momentum round22PASS

positive-hopping-momentum-round22

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • validation.json lines 1–399

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/positive-hopping-momentum-round22/validation.json

    b174a25489d08ff1ae38f33961d46db1082d60502c3d545cbd8e2c9d4502fdd1

  • PROOF.md lines 1–121

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/positive-hopping-momentum-round22/PROOF.md

    0cf319169c39b02f6f3775fd5213ba58f1555b7727b5b45bcb6f370be23e9984

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:positive-hopping-momentum-round22

preconditioned local parent round18PASS

preconditioned-local-parent-round18

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • validation.json lines 1–248

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/preconditioned-local-parent-round18/validation.json

    17e6de9f153d8098055366fe57d34d59354a00ca1ff687ebe228a3f354d7e0fc

  • PROOF.md lines 1–356

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/preconditioned-local-parent-round18/PROOF.md

    18630fe7e57792a12635f09d7977db351357ab44e75ec8ebc115eb96bc08d222

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:preconditioned-local-parent-round18

prescribed source kubopass (proof + regressions, unpromoted pure math)

Liefert eine vorgeschriebene erhaltende c-Zahl-Quelle auf dem freien nullmittleren Tensor-Fock-Target eine exakte retardierte TT-Weyl/Kubo-Antwort, und welcher affine skalare Krümmungsterm ist zusä...

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • contract_index.json lines 1–32

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/prescribed-source-kubo/contract_index.json

    79f97523516dc54087acb95f15fc582c94da1a3df6e85a7779da359f7a5cb4c5

  • validation.json lines 1–64

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/prescribed-source-kubo/validation.json

    82f5874e40e916d7f91a2c32cbfc61efd08442527ea2e14d339fba3acce333ff

  • README.md lines 1–427

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/prescribed-source-kubo/README.md

    fd6026f4a43b7d30f3dc154ebbe096acf6683495ca89126981655a22945684d8

  • kubo_source_checker.py lines 1–268

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/prescribed-source-kubo/kubo_source_checker.py

    d1185fb68ed405cbf82108af3255a1d9dbdd1185df4a3b00cac515d27cd3f654

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:prescribed-source-kubo

primitive charged source response 20260921PARTIAL

Can the primitive seam source independently determine charged fields, their common state and time response, and identify the specified boundary candidate without importing its lattice or energy form?

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • contract_index.json lines 1–72

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-charged-source-response-20260921/contract_index.json

    5111b83e8cb6ab503bee2c42a35539af9ab25e10a2bfd326596f75272bfe8ba4

  • validation.json lines 1–18

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-charged-source-response-20260921/validation.json

    f75acb856ca4b695bef643d0d7eb0b5cf646f4608aaf7b283f244678e48ba287

  • README.md lines 1–19

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-charged-source-response-20260921/README.md

    b91f36829ab9a52c8c9c9a7f494d209e9d44ca456bfd54abc59e98e80a5cafb3

  • checker.py lines 1–247

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-charged-source-response-20260921/checker.py

    302ab849ab7bee9feabb84a7d6cbddca276fc6db90d1663ca9a2ca73482103eb

  • certificate_optimized.json lines 1–98

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-charged-source-response-20260921/certificate_optimized.json

    d5f6364fe65fec217a6449d126e14487629aa1a685db39b8fb5409144a3efcd3

  • certificate.json lines 1–98

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-charged-source-response-20260921/certificate.json

    d5f6364fe65fec217a6449d126e14487629aa1a685db39b8fb5409144a3efcd3

  • source_checker_replay.json lines 1–668

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-charged-source-response-20260921/source_checker_replay.json

    610efe348f19f7e53d89186c5b275d5193e36d41466e0175b5926d395cf3b83b

  • source_manifest.json lines 1–58

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-charged-source-response-20260921/source_manifest.json

    b171032db8d320c0803ae09ed03616c0bda0d532f19f08a4b82058d05ca90a67

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:primitive-charged-source-response-20260921

primitive seam operator reconstruction 20261025PARTIAL

Do the original TFPT boundary and QFT papers construct the primitive seam line, its original time, and the full graded source; can their first unsupported identifications be repaired from the existing operators rather than a new source model?

Original archived TFPT 4.5 primitive boundary, carrier, EM and QFT passages, compared with the active P1/P2, Paper2 conditional QFT closure, and explicit lattice completion contracts. Infinite-dimensional analytic operator theorem and exact first-identification countercontrols, not a new physical model.

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • contract_index.json lines 1–72

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/contract_index.json

    df1056d52a523a73c03d9d60f32cd357590018449da99962716adae6b67cff83

  • README.md lines 1–90

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/README.md

    247f56a7b6126df189ade30e92cfb2ae19c66e1f567ff7213b7c2a3389146390

  • SPECTRAL-SEAM-RECONSTRUCTION.txt lines 1–278

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/SPECTRAL-SEAM-RECONSTRUCTION.txt

    45c472819667e7a981f7da4246d74d31e15104335e941cde0e0893808d674654

  • check_first_identifications.py lines 1–97

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/check_first_identifications.py

    5bf30250dbc65ab3408ccf18f853d62349f2fdb016aa63b41e5c883c2dca9100

  • identification-results.json lines 1–43

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/identification-results.json

    ed089bdaf31a99eb21c46d67adee58aa0021779529c824f4001d0fa895885a80

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:primitive-seam-operator-reconstruction-20261025

primitive transfer selection 20260912UNKNOWN

Unabhängiger Transfer-Vorwärtstest — Arbeitsstand 12. September 2026

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • contract_index.json lines 1–23

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-transfer-selection-20260912/contract_index.json

    2127a811c7032031869011185d102d38273d724ac26cef711f179d67fce5b155

  • README.md lines 1–284

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-transfer-selection-20260912/README.md

    ae5d28ac354addf9524e51805dca642454629f64a3128e6feb0b74baef102d72

  • assembly_not_history.py lines 1–98

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/primitive-transfer-selection-20260912/assembly_not_history.py

    3080e4d40a305c7a59c77437e619ca54e25a482b8ff0e27da54a8ed6aa8567a0

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:primitive-transfer-selection-20260912

projector locality round31CONDITIONAL_LOCAL_GEOMETRIC_CONTROL

Round31: projector geometry gives local, full-Fock and density control

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

  • validation.json lines 1–267

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/projector-locality-round31/validation.json

    a1cc920f3b0f52973a812b8a83fcd5100d3dcb796f13216072f7f62021668b30

  • README.md lines 1–139

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/projector-locality-round31/README.md

    5835185784f97b69f755910ebf0357bf0d30901d97bd603b5a2942cb4db09402

  • findings_overrides.json lines 1–1396

    Source checked at this snapshot

    Original location and fingerprint

    verification/findings_overrides.json

    aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:projector-locality-round31