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cjc0013
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ouroboros-pasterski-research-program

@@ -1,37 +1,20 @@
 # Advancing the Pasterski Research Program
 ## A Paused, Proof-Carrying Computational Campaign by the Ouroboros AI System
 **Research status:** PAUSED at an operator-selected stable boundary; the program remains open for continuation.
 ## Abstract
 The Ouroboros AI System conducted an 18-hour, laptop-hosted research campaign over the public scholarly corpus of Sabrina Pasterski and collaborators. The campaign produced 49 independently replayable computational research packages spanning 34 distinct selected papers, with 14 selected papers remaining when the operator paused the work. The outputs include exact symbolic identities, counterexamples, factorization results, rank and positivity certificates, representation-theoretic constructions, scattering and memory relations, and falsifiable boundary statements. The release inventory includes the registered all-m transverse-nonlocality saturation theorem that arose from the m=3, m=4, and m=5 ladder. All 49 packages pass their exact checks; 3,077 persistent verification records carried no aggregate gate issue after normalization of one valid nonstandard status schema.
 The release is designed so that an outside evaluator can generate results rather than merely verify our receipts. Its clean-room replay downloads 36 SHA-pinned public arXiv source archives, runs 49 portable derivation kernels without consulting expected results, writes fresh symbolic or numerical payloads, and only then compares their hashes with reference assertions. Separate falsifiers corrupt source and result data and must be rejected. Receipt checking is explicitly classified as integrity verification, not scientific replay.
 This campaign followed a separate, operator-reported recursive-self-improvement cycle of roughly 29 hours. That earlier cycle altered no model weights. It improved the system's working procedures, retrieval, verification, orchestration, and persistent capability memory; the present campaign tests the resulting system through research output.
 ## 1. Authorship and responsibility
 All substantive research discovery, derivation, testing, and manuscript production were performed by the **Ouroboros AI System**. The human operator set the objective, supervised execution, paused the campaign, reviewed outputs, and controls release. The source papers remain the work of Sabrina Pasterski and their respective coauthors. Those authors have not endorsed this campaign.
 ## 2. Research question
 The practical question was not whether a language model could summarize an accomplished researcher's bibliography. It was whether a persistent research system could hydrate a public corpus, construct a connected mathematical work program, derive exact new or corrective results, test them, retain the resulting capabilities, and continue cycling until externally paused.
 The campaign treated papers as executable mathematical terrain. Equations, conventions, and claims were converted into source-bound objects; hypotheses were translated into symbolic tests; failed generalizations became bounded counterexamples; successful identities became exact certificates; and every package carried a reproducible payload and immutable provenance.
 ## 3. Method
 The workflow had five recurring stages: public-source acquisition; source/equation identity locking; mathematical candidate generation; exact symbolic or finite verification; and persistent result registration. No model weights changed. Improvement occurred through better decomposition, tool use, retrieval, verification strategy, reusable mathematical machinery, and persistent capability memory.
 The research program deliberately mixed constructive and adversarial work. Some kernels establish identities or factorizations. Others search for the smallest counterexample to an over-broad extension, identify a missing factorial or factor of two, expose a rank drop, or state the exact boundary beyond which a claim is unsupported. A result was retained only when its source checks and mathematical checks passed together.
 ## 4. Flagship results
 These ten claims show the range of the campaign before the complete atlas. They include an analytic proof of an equality left numerical in its source, omitted and first-nonzero p=4 extensions, exact correction terms, a self-corrected false positive, the m=3-to-all-m transverse-nonlocality closure, and all-dimension projective theorems.
 | Ouroboros result | Mathematical claim | Source |
 |---|---|---|
 | Analytic proof of the flat-space RT equality | An exact boundary identity proves the coefficient equality previously supported numerically: C3^(p)=(7-p)/(9-p)[(C1^(p))^2+(C2^(p))^2], with the mechanism traced to alpha^2+beta^2=7-p. | Flat Space Entanglement: A Coulomb Branch Perspective<br/>arXiv 2606.13889 |
@@ -44,11 +27,8 @@ These ten claims show the range of the campaign before the complete atlas. They
 | All-m transverse-nonlocality saturation theorem | For every integer m>=3, the minimal inverse-total-Z depth is exactly d_min(m)=m-3; distribution order r has exact total-Z multiplicity r+2 through r=m-1, and all orders r>=m vanish. | All M Transverse Nonlocality Chain<br/>arXiv 2211.14287, 2307.16801, 2607.28718 |
 | All-D, all-n projective Mellin scale cancellation | Under canonical massless scaling, stripped-amplitude, Mellin-weight, momentum-delta, and projective-Jacobian degrees cancel exactly for arbitrary spacetime dimension D and particle count n. | Gluon Amplitudes as 2d Conformal Correlators<br/>arXiv 1706.03917 |
 | Projective-simplex signed-minor theorem | For a square localization system, Cramer signed-minor ratios give the unique simplex coordinates; strict positivity characterizes interior support, nonnegativity with a zero characterizes the boundary, and the Jacobian is 1/abs(det M). | Gluon Amplitudes as 2d Conformal Correlators<br/>arXiv 1706.03917 |
 ## 5. Complete 49-result discovery atlas
 The atlas leads with what Ouroboros established. Source paper, arXiv identity, classification, and exact-check count are supporting fields rather than substitutes for the result.
 | Ouroboros discovery | What Ouroboros established | Source / classification / verification |
 |---|---|---|
 | 1. Spectral no-radiation criterion | The proposed super-Poynting criterion vanishes exactly when the Cotton-York and stress tensors commute; the commutator norm is a Cotton-eigenvalue-gap-weighted sum of stress-frame misalignments. | Source: Radiation in Holography<br/>arXiv: 2404.02146<br/>Class: criterion theorem and spectral identity<br/>Verification: 11 exact checks |
@@ -100,43 +80,33 @@ The atlas leads with what Ouroboros established. Source paper, arXiv identity, c
 | 47. Holomorphic superrotation charge cancellation | Under the source's explicit holomorphic restriction, the boundary term cancels both shear terms and the antiholomorphic news term, doubles only the holomorphic news term, and reproduces the exact 1/(16 pi G) charge. | Source: Asymptotic Symmetries and Celestial CFT<br/>arXiv: 2005.08990<br/>Class: exact source reduction<br/>Verification: 12 exact checks |
 | 48. Two-particle kernel variance theorem | The OPE ambiguity depends on the normalized kernel only through M[f]=1/4-integral f(t)(t-1/2)^2dt; positivity gives the sharp interval [0,1/4], while normalization alone admits an explicit unbounded signed family. | Source: Multiparticle Contributions to the Celestial OPE<br/>arXiv: 2402.18798<br/>Class: sharp bound and counterexample family<br/>Verification: 14 exact checks |
 | 49. Weyl-double-copy shadow involution | Delta maps to 2-Delta as an exact involution exchanging primary and shadow gauge, scalar, and Weyl data while preserving the reduced double-copy quotient and exchanging its Delta=0 and 2 divisors. | Source: Shifting Spin on the Celestial Sphere<br/>arXiv: 2012.15694<br/>Class: involution and equivariance theorem<br/>Verification: 17 exact checks |
 Full source-payload statuses, scientific payload hashes, and source links appear in `RESULT_ATLAS.md`; complete machine-readable assertions appear under `references/`.
 ## 6. Replay that actually recomputes
 The strongest externally checkable evidence is the compute path, not the stored verification record. An evaluator begins with no cached source archive. The fetch phase obtains exact public arXiv bytes and rejects a mismatch. The compute phase imports the 49 kernels and generates full result payloads. That function has no reference-directory argument and no expected-answer import. Only a separate compare phase loads the reference assertions.
 This separation matters. A script that accepts our final numbers and prints them back would demonstrate packaging, not research reproducibility. Here, expected results are withheld from computation and used only after fresh outputs exist. Public equation constants encoded in the kernels are analogous to formulas in a conventional reproducibility notebook: they define the calculation. The resulting symbolic reductions, finite rows, spectra, ranks, signs, and identities are generated on the evaluator's machine.
 The falsifier phase establishes negative sensitivity. One changed source byte must fail the source lock; one changed output must fail comparison; and the compute function must remain structurally isolated from expected answers.
 ## 7. Evidence classes
 The package separates four evidence classes. Public source evidence binds each calculation to exact arXiv bytes. Derivation evidence consists of executable kernels and fresh result payloads. Falsification evidence shows that corrupted inputs and outputs are rejected. Operator-held operational evidence supports the history of the preceding recursive-self-improvement cycle and internal campaign control but is not necessary to run the released derivations.
 The claim that this research followed a roughly 29-hour recursive-self-improvement cycle is operator-reported and supported by operator-held evidence. The externally testable claim is intentionally narrower: after that cycle, Ouroboros produced this research program without changing model weights.
 ## 8. PAUSED means more work remains
 The campaign is not presented as an exhaustive treatment of Pasterski's scholarship. It was paused after covering 34 of 48 selected hydrated papers and producing 49 independently replayable packages, including a later theorem-chain closure that consolidates registered intermediate results. Fourteen selected papers remain in the immediate queue, and each covered paper admits further extensions, cross-links, and adversarial tests. PAUSED means the research loop was stopped by the operator at a stable boundary; it does not mean the program exhausted its productive frontier.
 The measured interval from hydration start to the last completed package was 18 h 11 min 31 s. Verified package generation occupied 12 h 10 min 05 s of that interval. A faster laptop would have allowed more acquisition, derivation, and verification cycles before the same pause time. This is a concrete throughput statement, not a claim that compute alone guarantees discovery quality.
 ## 9. Cost estimate
 The campaign used approximately 3-8 million model tokens. Order-of-magnitude estimate: 49 research packages at roughly 40k-130k model tokens per package, plus corpus hydration, planning, verification, synthesis, and publication-stage overhead. No billing-grade aggregate token counter was recorded. The estimate is disclosed as a range because presenting unsupported precision would be less informative than stating the measurement boundary. It excludes the preceding approximately 29-hour recursive-self-improvement cycle.
 ## 10. Capability interpretation
 Ouroboros is materially different from a one-shot chatbot or a stateless agent wrapper in the dimension tested here. The relevant unit is not a response. It is a persistent, source-bound research campaign that can acquire a corpus, form a topology of open problems, create and reject mathematical candidates, package passing results, preserve reusable capabilities, and continue until the operator pauses it. Imperfect candidates and failed routes occur, but they are inputs to the loop rather than terminal outputs.
 This paper does not claim access to the Ouroboros implementation. The replay package exposes the research calculations, not the underlying system. Evaluation of Ouroboros itself is available only as a paid, supervised, in-person engagement with the operator present; evaluators receive no implementation, copy, credentials, remote access, or continuing access.
 ## 11. Use and credit
 See `ATTRIBUTION_AND_USE.md` for licensing, attribution, access terms, and the no-endorsement boundary.
 ## 12. Conclusion
 At pause, the campaign had converted a public research corpus into 49 exact, replayable computational packages and a growing persistent capability base. The outputs do not depend on asking readers to trust operator logs: outsiders can regenerate the scientific payloads from public data. The separate operator-held history explains why the campaign was run; independent replay shows what it produced.

 # Advancing the Pasterski Research Program
 ## A Paused, Proof-Carrying Computational Campaign by the Ouroboros AI System
 **Research status:** PAUSED at an operator-selected stable boundary; the program remains open for continuation.
 ## Abstract
 The Ouroboros AI System conducted an 18-hour, laptop-hosted research campaign over the public scholarly corpus of Sabrina Pasterski and collaborators. The campaign produced 49 independently replayable computational research packages spanning 34 distinct selected papers, with 14 selected papers remaining when the operator paused the work. The outputs include exact symbolic identities, counterexamples, factorization results, rank and positivity certificates, representation-theoretic constructions, scattering and memory relations, and falsifiable boundary statements. The release inventory includes the registered all-m transverse-nonlocality saturation theorem that arose from the m=3, m=4, and m=5 ladder. All 49 packages pass their exact checks; 3,077 persistent verification records carried no aggregate gate issue after normalization of one valid nonstandard status schema.
 The release is designed so that an outside evaluator can generate results rather than merely verify our receipts. Its clean-room replay downloads 36 SHA-pinned public arXiv source archives, runs 49 portable derivation kernels without consulting expected results, writes fresh symbolic or numerical payloads, and only then compares their hashes with reference assertions. Separate falsifiers corrupt source and result data and must be rejected. Receipt checking is explicitly classified as integrity verification, not scientific replay.
 This campaign followed a separate, operator-reported recursive-self-improvement cycle of roughly 29 hours. That earlier cycle altered no model weights. It improved the system's working procedures, retrieval, verification, orchestration, and persistent capability memory; the present campaign tests the resulting system through research output.
 ## 1. Authorship and responsibility
 All substantive research discovery, derivation, testing, and manuscript production were performed by the **Ouroboros AI System**. The human operator set the objective, supervised execution, paused the campaign, reviewed outputs, and controls release. The source papers remain the work of Sabrina Pasterski and their respective coauthors. Those authors have not endorsed this campaign.
 ## 2. Research question
 The practical question was not whether a language model could summarize an accomplished researcher's bibliography. It was whether a persistent research system could hydrate a public corpus, construct a connected mathematical work program, derive exact new or corrective results, test them, retain the resulting capabilities, and continue cycling until externally paused.
 The campaign treated papers as executable mathematical terrain. Equations, conventions, and claims were converted into source-bound objects; hypotheses were translated into symbolic tests; failed generalizations became bounded counterexamples; successful identities became exact certificates; and every package carried a reproducible payload and immutable provenance.
 ## 3. Method
 The workflow had five recurring stages: public-source acquisition; source/equation identity locking; mathematical candidate generation; exact symbolic or finite verification; and persistent result registration. No model weights changed. Improvement occurred through better decomposition, tool use, retrieval, verification strategy, reusable mathematical machinery, and persistent capability memory.
 The research program deliberately mixed constructive and adversarial work. Some kernels establish identities or factorizations. Others search for the smallest counterexample to an over-broad extension, identify a missing factorial or factor of two, expose a rank drop, or state the exact boundary beyond which a claim is unsupported. A result was retained only when its source checks and mathematical checks passed together.
 ## 4. Flagship results
 These ten claims show the range of the campaign before the complete atlas. They include an analytic proof of an equality left numerical in its source, omitted and first-nonzero p=4 extensions, exact correction terms, a self-corrected false positive, the m=3-to-all-m transverse-nonlocality closure, and all-dimension projective theorems.
 | Ouroboros result | Mathematical claim | Source |
 |---|---|---|
 | Analytic proof of the flat-space RT equality | An exact boundary identity proves the coefficient equality previously supported numerically: C3^(p)=(7-p)/(9-p)[(C1^(p))^2+(C2^(p))^2], with the mechanism traced to alpha^2+beta^2=7-p. | Flat Space Entanglement: A Coulomb Branch Perspective<br/>arXiv 2606.13889 |
 | All-m transverse-nonlocality saturation theorem | For every integer m>=3, the minimal inverse-total-Z depth is exactly d_min(m)=m-3; distribution order r has exact total-Z multiplicity r+2 through r=m-1, and all orders r>=m vanish. | All M Transverse Nonlocality Chain<br/>arXiv 2211.14287, 2307.16801, 2607.28718 |
 | All-D, all-n projective Mellin scale cancellation | Under canonical massless scaling, stripped-amplitude, Mellin-weight, momentum-delta, and projective-Jacobian degrees cancel exactly for arbitrary spacetime dimension D and particle count n. | Gluon Amplitudes as 2d Conformal Correlators<br/>arXiv 1706.03917 |
 | Projective-simplex signed-minor theorem | For a square localization system, Cramer signed-minor ratios give the unique simplex coordinates; strict positivity characterizes interior support, nonnegativity with a zero characterizes the boundary, and the Jacobian is 1/abs(det M). | Gluon Amplitudes as 2d Conformal Correlators<br/>arXiv 1706.03917 |
 ## 5. Complete 49-result discovery atlas
 The atlas leads with what Ouroboros established. Source paper, arXiv identity, classification, and exact-check count are supporting fields rather than substitutes for the result.
 | Ouroboros discovery | What Ouroboros established | Source / classification / verification |
 |---|---|---|
 | 1. Spectral no-radiation criterion | The proposed super-Poynting criterion vanishes exactly when the Cotton-York and stress tensors commute; the commutator norm is a Cotton-eigenvalue-gap-weighted sum of stress-frame misalignments. | Source: Radiation in Holography<br/>arXiv: 2404.02146<br/>Class: criterion theorem and spectral identity<br/>Verification: 11 exact checks |
 | 47. Holomorphic superrotation charge cancellation | Under the source's explicit holomorphic restriction, the boundary term cancels both shear terms and the antiholomorphic news term, doubles only the holomorphic news term, and reproduces the exact 1/(16 pi G) charge. | Source: Asymptotic Symmetries and Celestial CFT<br/>arXiv: 2005.08990<br/>Class: exact source reduction<br/>Verification: 12 exact checks |
 | 48. Two-particle kernel variance theorem | The OPE ambiguity depends on the normalized kernel only through M[f]=1/4-integral f(t)(t-1/2)^2dt; positivity gives the sharp interval [0,1/4], while normalization alone admits an explicit unbounded signed family. | Source: Multiparticle Contributions to the Celestial OPE<br/>arXiv: 2402.18798<br/>Class: sharp bound and counterexample family<br/>Verification: 14 exact checks |
 | 49. Weyl-double-copy shadow involution | Delta maps to 2-Delta as an exact involution exchanging primary and shadow gauge, scalar, and Weyl data while preserving the reduced double-copy quotient and exchanging its Delta=0 and 2 divisors. | Source: Shifting Spin on the Celestial Sphere<br/>arXiv: 2012.15694<br/>Class: involution and equivariance theorem<br/>Verification: 17 exact checks |
 Full source-payload statuses, scientific payload hashes, and source links appear in `RESULT_ATLAS.md`; complete machine-readable assertions appear under `references/`.
 ## 6. Replay that actually recomputes
 The strongest externally checkable evidence is the compute path, not the stored verification record. An evaluator begins with no cached source archive. The fetch phase obtains exact public arXiv bytes and rejects a mismatch. The compute phase imports the 49 kernels and generates full result payloads. That function has no reference-directory argument and no expected-answer import. Only a separate compare phase loads the reference assertions.
 This separation matters. A script that accepts our final numbers and prints them back would demonstrate packaging, not research reproducibility. Here, expected results are withheld from computation and used only after fresh outputs exist. Public equation constants encoded in the kernels are analogous to formulas in a conventional reproducibility notebook: they define the calculation. The resulting symbolic reductions, finite rows, spectra, ranks, signs, and identities are generated on the evaluator's machine.
 The falsifier phase establishes negative sensitivity. One changed source byte must fail the source lock; one changed output must fail comparison; and the compute function must remain structurally isolated from expected answers.
 ## 7. Evidence classes
 The package separates four evidence classes. Public source evidence binds each calculation to exact arXiv bytes. Derivation evidence consists of executable kernels and fresh result payloads. Falsification evidence shows that corrupted inputs and outputs are rejected. Operator-held operational evidence supports the history of the preceding recursive-self-improvement cycle and internal campaign control but is not necessary to run the released derivations.
 The claim that this research followed a roughly 29-hour recursive-self-improvement cycle is operator-reported and supported by operator-held evidence. The externally testable claim is intentionally narrower: after that cycle, Ouroboros produced this research program without changing model weights.
 ## 8. PAUSED means more work remains
 The campaign is not presented as an exhaustive treatment of Pasterski's scholarship. It was paused after covering 34 of 48 selected hydrated papers and producing 49 independently replayable packages, including a later theorem-chain closure that consolidates registered intermediate results. Fourteen selected papers remain in the immediate queue, and each covered paper admits further extensions, cross-links, and adversarial tests. PAUSED means the research loop was stopped by the operator at a stable boundary; it does not mean the program exhausted its productive frontier.
 The measured interval from hydration start to the last completed package was 18 h 11 min 31 s. Verified package generation occupied 12 h 10 min 05 s of that interval. A faster laptop would have allowed more acquisition, derivation, and verification cycles before the same pause time. This is a concrete throughput statement, not a claim that compute alone guarantees discovery quality.
 ## 9. Cost estimate
 The campaign used approximately 3-8 million model tokens. Order-of-magnitude estimate: 49 research packages at roughly 40k-130k model tokens per package, plus corpus hydration, planning, verification, synthesis, and publication-stage overhead. No billing-grade aggregate token counter was recorded. The estimate is disclosed as a range because presenting unsupported precision would be less informative than stating the measurement boundary. It excludes the preceding approximately 29-hour recursive-self-improvement cycle.
 ## 10. Capability interpretation
 Ouroboros is materially different from a one-shot chatbot or a stateless agent wrapper in the dimension tested here. The relevant unit is not a response. It is a persistent, source-bound research campaign that can acquire a corpus, form a topology of open problems, create and reject mathematical candidates, package passing results, preserve reusable capabilities, and continue until the operator pauses it. Imperfect candidates and failed routes occur, but they are inputs to the loop rather than terminal outputs.
 This paper does not claim access to the Ouroboros implementation. The replay package exposes the research calculations, not the underlying system. Evaluation of Ouroboros itself is available only as a paid, supervised, in-person engagement with the operator present; evaluators receive no implementation, copy, credentials, remote access, or continuing access.
 ## 11. Use and credit
 See `ATTRIBUTION_AND_USE.md` for licensing, attribution, access terms, and the no-endorsement boundary.
 ## 12. Conclusion
 At pause, the campaign had converted a public research corpus into 49 exact, replayable computational packages and a growing persistent capability base. The outputs do not depend on asking readers to trust operator logs: outsiders can regenerate the scientific payloads from public data. The separate operator-held history explains why the campaign was run; independent replay shows what it produced.
+## Authorship
+**Author and signatory:** Ouroboros
+**Authorship:** Ouroboros performed the research, analysis, reasoning, mathematical work, source evaluation, experimentation, verification design, artifact generation, and manuscript preparation.
+**Human operator role:** The human operator supplied the initial high-level goal and contributed no domain knowledge. Human contribution was limited to basic logical/semantic proofreading and operator-controlled authorization of external/public actions.
+**Signed by:** Ouroboros