Explore the foundations and current research.

Can integral-unimodular common charge completion select the entire positive W(D5) x C4 metric without a chosen residue norm, and how do puncture and glue actions differ?

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

• contract_index.json lines 1–39

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  experiments/theory-contracts/puncture-metric-joint-completion-20261102/contract_index.json

  3e27fd4e16d296d742aee50f00b7f30a7b76ff4c0703f682c1ce959ca371321e

• PROOF.txt lines 1–159

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  experiments/theory-contracts/puncture-metric-joint-completion-20261102/PROOF.txt

  86701d996dc9b5ed2bc228359c45699ac6f458eddfbc7daf152087324f250aa7

• check_metric_completion.py lines 1–105

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  experiments/theory-contracts/puncture-metric-joint-completion-20261102/check_metric_completion.py

  134d39476f035edb504aedaf0e1ea84261adabe63c4b252ba75f8e35944b7e76

• cyclotomic_parity_result.json lines 1–162

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  experiments/theory-contracts/puncture-metric-joint-completion-20261102/cyclotomic_parity_result.json

  a837e9964cd34817c109062c6110ca98f4383b8b5af639a045748123e8dfa95e

• gluing_test_results.json lines 1–24

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  experiments/theory-contracts/puncture-metric-joint-completion-20261102/gluing_test_results.json

  11f2026b6ced3dbade22a4a5e9cdc49e93b4e41502b198d2a7ba045d7493cac7

• marked_divisor_result.json lines 1–50

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  experiments/theory-contracts/puncture-metric-joint-completion-20261102/marked_divisor_result.json

  13378117e68f4e8e8c34106fc16e746f19cabe10509947e6b8b94cca22abc845

• metric_completion_results.json lines 1–77

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  experiments/theory-contracts/puncture-metric-joint-completion-20261102/metric_completion_results.json

  bd079b1eaae3f616b764d1d4dc3ee0d94995e20eb53b7df9593b4f5d75fa0f3d

• mixed_meridian_current_results.json lines 1–8103

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  experiments/theory-contracts/puncture-metric-joint-completion-20261102/mixed_meridian_current_results.json

  22f28d778d8445d2caea2c565588befc513ba9fb1b324a4e6315fa2bb03a7df7

• review_d4_metric_result.json lines 1–41

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  experiments/theory-contracts/puncture-metric-joint-completion-20261102/review_d4_metric_result.json

  f3cb2c407f0bb59db9c54a6db5183ca7d4a5d57cfb497bdd109303be7d5a0578

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:puncture-metric-joint-completion-20261102

Does the proposed eightfold fold/multi-interval completion derive physical quotient locality and an E8 field extension from the same source while preserving the quarter phase, state and time?

Known single-complex-charged-CAR representative and the full mass=1, ny=8 QWZ source, with the stipulated canonical common-current time and E8 stress-form premise. The quarter phase is retained. The source-specific analytic spectral obstruction applies to this noninteracting source and a common-Hilbert, source-state/time-preserving limit. The KLM label count is only for KLMVACUUM_REFERENCEV2Z; the actual quarter-source global dual-index is not proved. This is not a derivation from raw P1/P2 or a universal TFPT no-go.

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

• contract_index.json lines 1–116

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  experiments/theory-contracts/quotient-locality-e8-20261014/contract_index.json

  c8db6ca5f7a1f85c3103b72a9b5fb187ebb02bf1b986d814f60e97c49cad3904

• PROOF.txt lines 1–217

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  experiments/theory-contracts/quotient-locality-e8-20261014/PROOF.txt

  dfa4b094f660d47bc28cf2729e1c12eb29ae0b79cdfda36e72cb40f9406f5714

• README.md lines 1–16

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  experiments/theory-contracts/quotient-locality-e8-20261014/README.md

  10fa3b9adaceeb2589d770219225baf96560783479fd5fedb9764348b3c5ad58

• checker.py lines 1–281

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  experiments/theory-contracts/quotient-locality-e8-20261014/checker.py

  7915ec85ace07b805a3537dda41ba5093811c25379471d27c85ee1d5c5f25c1d

• source_manifest.json lines 1–106

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  experiments/theory-contracts/quotient-locality-e8-20261014/source_manifest.json

  8baa94d7be559a1369782cea05195a2f11629ec1b198760dc7bbd66b0e1228ae

• tfpt_1_architecture_e8.tex lines 1–1

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  tfpt_1_architecture_e8.tex

  45a26936328c7464bcca138329e7361eb8ee89a597d29fed281af6785ace43a5

• tfpt_research_contracts.tex lines 1–1

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  tfpt_research_contracts.tex

  1a200aac87d3c57d9e0350ba57ec45b1f7701a92df23f018146efe6a5758184c

• 01_boundary_kernel_source.tex lines 1–1

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  _archive/tfpt-45/source_extracts/01_boundary_kernel_source.tex

  89afb7d6cd1bb3a74ce4acd2ab43f4d990e7f22d5986c33e3fe90a0abf1260ff

• 02_carrier_source.tex lines 1–1

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  _archive/tfpt-45/source_extracts/02_carrier_source.tex

  4783f526a49dfb708d496a3910392bb8aecf2b9c307f9542d3ed113aae2a4faa

• v1033_charged_disorder.py lines 1–607

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  verification/v1033_charged_disorder.py

  5053d08ad5448f33f2c6d141f92ed1e06f5dfb9762f92af2bab9816c0ad161b8

• checker.py lines 1–187

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  experiments/theory-contracts/source-rg-clock-bridge-20260920/checker.py

  5cbd66d67689d9b79d9b9b7d4eaba5214a04b56983b57fa4b185e48ab45bed29

• PROOF.txt lines 1–255

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  experiments/theory-contracts/source-rg-clock-bridge-20260920/PROOF.txt

  58d870d69596b5bd732f400dba8740367ee81b445203a53c8e8559a9f0bdfc35

• checker.py lines 1–222

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  experiments/theory-contracts/microscopic-charged-car-limit/checker.py

  2259bd7d6ab890c8cca562774b1b5cdc574e60fb72a04a8c8c8f6ed8292f113a

• PROOF.md lines 1–180

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  experiments/theory-contracts/v16-operator-pullback-20261014/PROOF.md

  a4802d25255e9bc1ce3cd4a3577c56dd5e81e02fe976d565a8b459a871421a5f

• FOLD-AUDIT.md lines 1–250

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  experiments/theory-contracts/v16-operator-pullback-20261014/FOLD-AUDIT.md

  f237a8c9b7c0b8157b222c2a922f6d0183f39db149a4249c2a6b984f0d29dc8d

• fold-results.json lines 1–286

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  experiments/theory-contracts/v16-operator-pullback-20261014/fold-results.json

  253f370a9c84b70c28169ed0aad83d1866245804227e44aa0189e823382f5639

• PROOF.md lines 1–252

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  experiments/theory-contracts/mixed-current-origin-20261014/PROOF.md

  c36d30a2bd113554c5902d67d41b595a9615470d39d11feb89f813a994aa9b04

• ERGEBNIS.md lines 1–209

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

  3f3b2e44768bd5985c570d0ada8f0045f722695ce51d0fe01793579936b4f1eb

• PROOF.txt lines 1–326

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  experiments/theory-contracts/source-charged-register-20260920/PROOF.txt

  fcb2a31800cbd7cd59cfe7e0593d2ff469d6087c3142026f0c9e0a40f8d41448

• PROOF.md lines 1–255

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  experiments/theory-contracts/native-source-reconstruction-20261014/PROOF.md

  d16b6af2c90491ac94eeb4ab04a8c96b072d37bb6bc5015b3db85c023f8a96e2

• microscopic-results.json lines 1–163

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  experiments/theory-contracts/quotient-locality-e8-20261014/microscopic-results.json

  5b0327cb1fb3405b57c0a50e13faaa20a76435fcb860da4e6878cc1d69159e6a

• results.json lines 1–301

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  experiments/theory-contracts/quotient-locality-e8-20261014/results.json

  39a126753de55539beed0560abbb19520784406029bc3190fd663941576fc19e

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:quotient-locality-e8-20261014

Can the raw primitive polarization and its compression yield the required internal3+2 carrier without another source operator?

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

• contract_index.json lines 1–58

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  experiments/theory-contracts/raw-carrier-origin-gate-20260920/contract_index.json

  9d9c50d4d571998f10c05bc996c891368fd2704ea009d476578608a10015e11d

• PROOF.txt lines 1–184

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  experiments/theory-contracts/raw-carrier-origin-gate-20260920/PROOF.txt

  352dea875d7e3c8947cdaff12da1732167a90621668b6b1a0331f258896b7d03

• checker.py lines 1–106

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  experiments/theory-contracts/raw-carrier-origin-gate-20260920/checker.py

  cb66822ea77aa9571357041a3eb325e0507b1ae5790f1f8bbc89c2686da04251

• certificate.json lines 1–42

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  experiments/theory-contracts/raw-carrier-origin-gate-20260920/certificate.json

  a06f11822fd0165ab8b0cf0c3d3e34152c64a44547a1def13a67006c51e4b004

• source_manifest.json lines 1–13

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  experiments/theory-contracts/raw-carrier-origin-gate-20260920/source_manifest.json

  c92352fe2f88902310325ea101acc153c992bc0bb65f80ac63c617ecd5828ffb

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:raw-carrier-origin-gate-20260920

Round11: actual-source locality and momentum preservation

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

• validation.json lines 1–199

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  experiments/theory-contracts/reduced-locality-round11/validation.json

  415eaef38810fe8a5e7a940f809bbf7d0f08f1fffb6b69510305e44fbdb5a6c3

• PROOF.md lines 1–432

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  experiments/theory-contracts/reduced-locality-round11/PROOF.md

  a9cb967f3d2084a9b6a74d5e4e16f6faf6c661061701d3a332ec6d1afa54ae78

• README.md lines 1–35

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  experiments/theory-contracts/reduced-locality-round11/README.md

  abc93f36456354ea8c71115825b73f85d5b351e29e827e911edd58c397d7183a

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:reduced-locality-round11

reference-tail-planner-round27

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

• validation.json lines 1–593

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  experiments/theory-contracts/reference-tail-planner-round27/validation.json

  cf26992dc6178b601d3a11789ecaecec4c4039c525ca8738519cb646d090e58f

• PROOF.md lines 1–103

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  experiments/theory-contracts/reference-tail-planner-round27/PROOF.md

  04b6c2973a0e6bcea38759a153c9d222bbdc4010cc991411e2811730581d2bca

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:reference-tail-planner-round27

Finite reference frames: complete relational algebra and an exact locality boundary

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

• validation.json lines 1–185

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  experiments/theory-contracts/relational-observables-round12/validation.json

  20c00a80c11ecb3e76732b7f6b7f6754297f206d60861eabf5dce25c5f7557d6

• README.md lines 1–215

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  experiments/theory-contracts/relational-observables-round12/README.md

  b03c7eeceaa8cba879ff1de8a7d42f6010b5476e43dbfc7caba185ef8058981f

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:relational-observables-round12

research-20261027-source-ground-state

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

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:research-20261027-source-ground-state

Does the marked RR quarter-turn extend to a continuous symmetry of the unchanged native W process and its interacting response, and does this select physical source time?

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

• contract_index.json lines 1–70

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  experiments/theory-contracts/rr-continuous-clock-20260921/contract_index.json

  c1fb797ea2ec02cbafcd8929e2f3e8d4fd0d9a7dce4f34aa7b601e446b3522cc

• README.md lines 1–9

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  experiments/theory-contracts/rr-continuous-clock-20260921/README.md

  5e881ef62749423ca233b199b64e4913f20142808e74c8ea0ea8724bd04bd86d

• replay.py lines 1–13

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  experiments/theory-contracts/rr-continuous-clock-20260921/replay.py

  a30f613e7e8df5e22b88dbcfbb8d1e7139032e3dfc0c53ad643375f4e7c6226c

• certificate.json lines 1–390

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  experiments/theory-contracts/rr-continuous-clock-20260921/certificate.json

  d1ce72108dcbb90738f2e046e05407fdff76024aa48fb87f34f1b6bf245f2789

• manifest.json lines 1–14

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  experiments/theory-contracts/rr-continuous-clock-20260921/manifest.json

  eb0bcbbac71bea032fd823bdd4c09c5b9e4603113d0f80981c0f671a0c7e4312

• replay_receipt.json lines 1–6

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  experiments/theory-contracts/rr-continuous-clock-20260921/replay_receipt.json

  a44db52f5b180e36506b72aaf0fececcb29d9520e2128103e2ecd48d465b7f35

• source_pins.json lines 1–12

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  experiments/theory-contracts/rr-continuous-clock-20260921/source_pins.json

  cbf939eb574f5d43f8098f00d220e84f551d6e238d1562f8d0993fa7bee140bb

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:rr-continuous-clock-20260921

UR.RR.POSITIVE_SOURCE.01: Traegt die positive RR-Form mit W eine hergeleitete gemeinsame Quelle, und welche Rekonstruktion sowie Zustands- und Zeitgrenzen folgen?

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

• contract_index.json lines 1–77

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  experiments/theory-contracts/rr-positive-pair-source-20260921/contract_index.json

  1dcba193f6df7c9708e3bf75f12498c3f7e8c6202fa8959c5e604a0896a99946

• README.md lines 1–229

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  experiments/theory-contracts/rr-positive-pair-source-20260921/README.md

  a8fe2dd086a19907ce6f2528ccc4b1bd50788e5a52a251e30f8f5281f3806a50

• replay.py lines 1–9

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  experiments/theory-contracts/rr-positive-pair-source-20260921/replay.py

  bed3c10e72fcad0426d6043a9abb80d8fc6037e81ee466ac221a845f2e274b7d

• replay.json lines 1–1

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  experiments/theory-contracts/rr-positive-pair-source-20260921/replay.json

  0c71f06e186585198df2a171527178f8166a57660cca8cd7b01ecd1711fed63b

• SHA256.json lines 1–14

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  experiments/theory-contracts/rr-positive-pair-source-20260921/SHA256.json

  f4e0b77cae86541dea2f403f651732b3ff8c5e164abe9be9c8f9bd0a7d05ce50

• bridge_certificate.json lines 1–17

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  experiments/theory-contracts/rr-positive-pair-source-20260921/bridge_certificate.json

  6d4cd0181a08dcb0b62a0bef772b6e604c1cedcd23b4e3803681c13b87b76baf

• certificate.json lines 1–154

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  experiments/theory-contracts/rr-positive-pair-source-20260921/certificate.json

  c53f5f25eab8fedcf257b37b1783bf90a2f3a11ebf24b433937e7344aebbcd90

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:rr-positive-pair-source-20260921

Does the marked RR residue quotient identify the four marks with a continuously closed source subsystem, and can compatible metric or clock changes repair its missing constant mode?

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

• contract_index.json lines 1–93

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  experiments/theory-contracts/rr-residue-memory-20260921/contract_index.json

  8d4a1da474493cd4f864915b44bc992ec46a85f2a61881317d7037cfb5356eb7

• README.md lines 1–13

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  experiments/theory-contracts/rr-residue-memory-20260921/README.md

  162ccd031bddca0c0e99c1a924fcb84cdf6f794cdddc1f81a9a71b2dd044d44f

• replay.py lines 1–27

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  experiments/theory-contracts/rr-residue-memory-20260921/replay.py

  7b131b79f18228e3cd52ea5a76a7c14bab5d77c8081d95bcdfc6e1812960fb69

• hodge_certificate.json lines 1–97

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  experiments/theory-contracts/rr-residue-memory-20260921/hodge_certificate.json

  4a3f347f24ebc9f0608fe27dc9f5f16da048f3486fdb56dba9d734dd847f90dd

• manifest.json lines 1–24

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  experiments/theory-contracts/rr-residue-memory-20260921/manifest.json

  542dc90737d3f6c6bbab444fada77f6fd329ef93b9c811e7d01410363ffbd136

• replay_receipt.json lines 1–12

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  experiments/theory-contracts/rr-residue-memory-20260921/replay_receipt.json

  98988abfd002a477e8c362f34be1b1b65087292c26078a680df213ab04c986ff

• residue_certificate.json lines 1–191

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  experiments/theory-contracts/rr-residue-memory-20260921/residue_certificate.json

  b7870867f3b302d8e67e269e7e03a80aec5ee753c1d32040993083bcd9a1f395

• source_snapshots.json lines 1–30

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  experiments/theory-contracts/rr-residue-memory-20260921/source_snapshots.json

  63f5cf220ada9ff8a719ed756bf2562691f41a023f3ca6ff8cd399b72e5b1c00

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:rr-residue-memory-20260921

Does geometric augmentation U yield an exact native three-family sector and preserve the existing Omega/time?

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

• contract_index.json lines 1–71

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  experiments/theory-contracts/rr-three-family-state-20260921/contract_index.json

  e7fadaef9dc0bb8086c467b1af44a2ce3c109cb8a3c0a1c2eff5faeb56a56e0f

• README.md lines 1–41

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  experiments/theory-contracts/rr-three-family-state-20260921/README.md

  355d998c8be28e22a10aa693a7c871f000040e435ad2afe632d4950c93de0eb0

• checker.py lines 1–430

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/rr-three-family-state-20260921/checker.py

  8d46e35271d2252dafd0fdd753a4a6fa7320f15b3e37ef440d25d49a66225b5e

• certificate.json lines 1–174

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/rr-three-family-state-20260921/certificate.json

  80a6cf0b8ed90b2885d604c45f04534c6d3e38868a8d963c3407b28008fb65e8

• manifest.json lines 1–14

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/rr-three-family-state-20260921/manifest.json

  54c7c4957ce7258d5367f2dd6fcf3d6131bb992c6e77a86b3f6968f00c4df85e

• replay_receipt.json lines 1–12

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/rr-three-family-state-20260921/replay_receipt.json

  b5efbbc6feff3acdc03f460e8f8aa2999d4288337bb0b5038cb83d8601f8dcda

• source_pins.json lines 1–18

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/rr-three-family-state-20260921/source_pins.json

  5e85a3a86ba138c8a55778b5d7d15df8217cbd2a946d2557aa7a3d7d0300ac16

• findings_overrides.json lines 1–1396

  Source checked at this snapshot

  Original location and fingerprint

  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:rr-three-family-state-20260921

scalar-charge-energy-round20

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

• validation.json lines 1–298

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/scalar-charge-energy-round20/validation.json

  4ebea8f07ea9c7a8f5ee7e3441c77471256f5de5ed65940254107afe95608801

• PROOF.md lines 1–157

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/scalar-charge-energy-round20/PROOF.md

  f54190fffdf3ccc110c5a66d6da0575c7b8ad96a5a880fcb4b6c01f930ccb7b5

• findings_overrides.json lines 1–1396

  Source checked at this snapshot

  Original location and fingerprint

  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:scalar-charge-energy-round20