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README.md

layout article
title UET Topic 0.4: Superconductivity and Superfluids
description Internal superconductivity, superfluid, and plasma benchmark diagnostics with formula-audited model boundaries.

0.4 Superconductivity and Superfluids

Note

AI-Digest: This topic currently contains McMillan/Allen-Dynes benchmark code, UET coherence-correction hypotheses, Cooper-pair symbolic notes, helium/superfluid diagnostics, and plasma scaling utilities. The current primary verifier is a raw McMillan baseline check and does not establish high-Tc prediction or a universal superconductivity theory.

Status Standard Architecture Scientific_Rigor

Current Claim Boundary

The current runnable gate is an internal benchmark over curated superconducting material data. Raw McMillan formula performance is recorded as a diagnostic baseline; calibrated or heuristic UET corrections must not be described as first-principles predictions until their input provenance, out-of-sample tests, and acceptance thresholds are locked.

Conceptual Diagram

flowchart LR
    A["material data working copies"] --> B["McMillan baseline"]
    B --> H["inverse-McMillan lambda audit"]
    A --> C["Allen-Dynes engine"]
    D["symmetry and mass descriptors"] --> E["UET coherence heuristic"]
    F["atomic number Z"] --> G["relativistic correction heuristic"]
    E --> C
    G --> C
    B --> H["primary artifact"]
    C --> I["future engine benchmark gate"]
    J["Cooper symbolic proof"] --> K["conditional BCS note"]
Loading

Evidence Matrix

Layer Current status Evidence / artifact Claim allowed
Raw McMillan baseline Primary current verifier; artifact status remains FAIL Result/artifacts/0_4_superconductivity_superfluids_verification.json internal baseline diagnostic and blocker
Inverse-McMillan audit New failure-localization diagnostic; 9/10 rows currently over-drive lambda_ep relative to observed Tc parameter_mismatch_audit in artifact data-normalization priority, not prediction evidence
Row normalization queue Actionable per-material repair order generated from drift plus substitution sensitivity Data/03_Research/row_normalization_queue.json work queue only; not scientific evidence
Row normalization status ledger Per-row work-control artifact with source status and next actions Data/03_Research/row_normalization_status.json operations aid only
Row normalization candidate pack Internal triage of which rows have a stable local candidate versus which still need external resolution Data/03_Research/row_normalization_candidates.json internal triage only
Provisional normalized sensitivity table Internal-only table that swaps in consensus candidates where available and reruns the McMillan gate Data/03_Research/provisional_normalized_superconductors.json, provisional_normalized_table block in artifact sensitivity study only; not source-backed normalization
Provisional residual-blocker map Separates rows that still block the gate after provisional substitutions from rows that only need source locking Data/03_Research/provisional_residual_blockers.json workflow decomposition only
Residual blocker row dossiers Per-row work packets for the remaining blockers, including source targets, unit questions, and decision gates Data/03_Research/residual_blocker_row_dossiers.json row-resolution workflow only
Residual blocker field-lock matrix Field-by-field lock status for Tc, phonon proxy, lambda_ep, and mu_star across the remaining blocker rows Data/03_Research/residual_blocker_field_lock_matrix.json field-resolution workflow only
Residual blocker proxy sensitivity Internal comparison of Theta_D_K versus omega_log_K under the same candidate coupling package Data/03_Research/residual_blocker_proxy_sensitivity.json proxy-decision workflow only
Vanadium source-lock packet Focused action packet for the remaining borderline row with preferred proxy, candidate coupling, and source-lock checklist Data/03_Research/vanadium_source_lock_packet.json single-row execution workflow only
A15 external-resolution packet Focused action packet for Nb3Sn and Nb3Ge with shared external-resolution requirements Data/03_Research/a15_external_resolution_packet.json pairwise execution workflow only
Vanadium candidate patch preview Shows the exact working-copy change that would be made if the next source check confirms the row Data/03_Research/vanadium_candidate_patch_preview.json patch-preview workflow only
A15 candidate patch preview Shows why Nb3Sn and Nb3Ge are still not patchable without external row evidence Data/03_Research/a15_candidate_patch_preview.json blocked patch-preview workflow only
Row evidence intake stub Structured intake sheet for incoming row-level evidence before any working-copy edit is allowed Data/03_Research/row_evidence_intake_stub.json evidence-capture workflow only
Row evidence readiness matrix Shows which rows still have pending evidence fields before patch review is allowed Data/03_Research/row_evidence_readiness_matrix.json evidence-gate workflow only
Row evidence execution queue Orders the next evidence-collection pass row by row so source review can start from one concrete target at a time Data/03_Research/row_evidence_execution_queue.json evidence-sequencing workflow only
Row evidence source-review packets Field-by-field attachment templates for the next real source pass Data/03_Research/row_evidence_source_review_packets.json source-review workflow only
Row evidence decision gate Review-control checklist for deciding whether attached evidence is strong enough to enter patch review Data/03_Research/row_evidence_decision_gate.json patch-review gating only
Topic source-evidence workflow Topic-level provenance intake and readiness gate Data/03_Research/source_evidence_intake_stub.json, source_evidence_readiness_matrix.json branch-hardening workflow only
Topic branch claim gate Topic-level claim ceiling by branch Data/03_Research/branch_claim_gate.json keeps baseline FAIL from inflating stronger claims
Allen-Dynes engine Model exists Engine_Superconductivity.py, FORMULA_AUDIT.md model formulation, not final proof
UET coherence / Z correction Heuristic bridge formula audit entries SC-UET-COHERENCE, SC-REL-Z hypothesis / model component
Cooper pairing proof Conditional symbolic note Proof_Cooper_Pairing.py BCS-style conditional relation
High-Tc and hydrides Not primary-gated here data files and research scripts only future hardening target

5x4 Grid Structure

Pillar Purpose
Doc/ phase-transition and superconductivity analysis notes
Ref/ McMillan, Allen-Dynes, high-Tc, hydride, and superfluid references
Data/ topic-local material and benchmark working copies
Code/ engine, proof, research, competitor, and visualization scripts
Result/ artifacts, plots, and run logs

Quick Start

cd C:\Users\santa\Desktop\uet_harness
python docs/topics/0.4_Superconductivity_Superfluids/Code/03_Research/Experiment_Superconductor_Data.py

Key Files

  • FORMULA_AUDIT.md: formula, unit, constant, proof-status, and failure-mode registry.
  • VERIFICATION_SPEC.md: primary command, metrics, thresholds, and artifact interpretation.
  • DATA_MANIFEST.md: current dataset roles, hashes, and provenance gaps.
  • METHOD.md: topic method scope and dependency policy.
  • LIMITATIONS.md: blockers that prevent stronger claims.
  • Data/03_Research/row_normalization_queue.json: current row-by-row normalization order derived from the FAIL artifact.
  • Data/03_Research/row_normalization_status.json: current row-by-row status ledger for the normalization pass.
  • Data/03_Research/row_normalization_candidates.json: internal candidate values for triage before source-backed normalization.
  • Data/03_Research/provisional_normalized_superconductors.json: internal sensitivity package built from the candidate rows to estimate how much FAIL is driven by row-package drift.
  • Data/03_Research/provisional_residual_blockers.json: post-provisional blocker map showing which rows still fail the gate and which rows mostly need source locking.
  • Data/03_Research/residual_blocker_row_dossiers.json: targeted dossiers for Nb3Sn, Nb3Ge, and Vanadium so row-source checks can proceed without re-reading the whole artifact.
  • Data/03_Research/residual_blocker_field_lock_matrix.json: field-level unlock status for the same three rows so the next provenance pass can work value by value.
  • Data/03_Research/residual_blocker_proxy_sensitivity.json: internal-only proxy comparison to help decide whether Theta_D_K or omega_log_K deserves priority checking in the remaining rows.
  • Data/03_Research/vanadium_source_lock_packet.json: focused packet for moving Vanadium (V) from borderline blocker to source-lock-ready row.
  • Data/03_Research/a15_external_resolution_packet.json: focused packet for moving Nb3Sn and Nb3Ge from unresolved A15 blockers into explicit row-resolution work.
  • Data/03_Research/vanadium_candidate_patch_preview.json: preview of the exact Vanadium row edit to apply if row evidence confirms the current internal candidate.
  • Data/03_Research/a15_candidate_patch_preview.json: blocked preview showing exactly why the A15 pair still cannot be edited honestly.
  • Data/03_Research/row_evidence_intake_stub.json: structured place to record future row evidence for Vanadium, Nb3Sn, and Nb3Ge before any patch is applied.
  • Data/03_Research/row_evidence_readiness_matrix.json: quick gate showing whether each blocker row still has pending evidence before patch review can begin.
  • Data/03_Research/row_evidence_execution_queue.json: next-action queue for the actual evidence pass so the row-source check can begin from a concrete target instead of a blank review loop.
  • Data/03_Research/row_evidence_source_review_packets.json: per-row, per-field review template with slots for DOI/source title, table or figure, row locator, extracted value, unit basis, and compatibility note.
  • Data/03_Research/row_evidence_decision_gate.json: row-level review gate listing the exact compatibility questions that must be answered before patch review can begin.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/source_target_manifest.json: external-source acquisition manifest for the three residual blocker rows so future raw-table archiving starts from a pinned target list.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/source_evidence_intake_stub.json: external landing zone for actual row-level table captures before they are translated into topic-local review packets.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/source_evidence_readiness_matrix.json: external archive-readiness gate showing whether a residual row has enough archived evidence to hand back into topic-local compatibility review.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/local_archive_scan_report.json: explicit report that the current repo scan found no exact local raw PDF/reference match for Vanadium, Nb3Sn, or Nb3Ge, so publication anchors must not be mistaken for archived row evidence.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/field_coverage_assessment.json: field-by-field scope check showing that current publication anchors support Tc scope for the A15 pair and now support secondary-host Tc plus Theta_D text capture for Vanadium, while lambda_ep and mu_star still remain uncovered.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/field_source_gap_matrix.json: field-by-field acquisition split showing which residual-row fields can stay on the primary publication anchor and which fields definitely need supplemental source capture.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/supplemental_source_candidates.json: pinned candidate source families for Theta_D/omega_log, lambda_ep, and mu_star follow-up, especially for the A15 pair.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/supplemental_source_selection_matrix.json: recommended first-choice source family per field so the next archive pass starts from one concrete literature decision instead of a candidate pool.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_field_extraction_plan.json: execution-ready extraction order for Nb3Sn and Nb3Ge, with preferred reference and success condition per field.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_tc_capture_stub.json: first-pass capture form for Tc_observed in Nb3Sn and Nb3Ge, ready for page/locator/value transcription.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_tc_capture_manifest.json: index of the materialized first-pass Tc text capture records for the A15 pair.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_phonon_capture_stub.json: second-pass capture form for the A15 phonon-proxy field so Nb3Sn and Nb3Ge can move directly into Theta_D/omega_log extraction.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_lambda_capture_stub.json: third-pass capture form for lambda_ep, prefilled with abstract-level field support from the A15 electron-phonon source.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_support_capture_manifest.json: manifest of the materialized A15 support captures for phonon-proxy and lambda fields.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_numeric_row_value_gap_report.json: explicit report showing which A15 fields still lack row-specific numeric values after the current text-layer pass.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_web_numeric_extraction_blocker_report.json: explicit report that the current web-accessible abstract and record layer is still insufficient for row-specific A15 numeric extraction.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_secondary_numeric_hint_report.json: weak secondary numeric hints that may guide the next A15 full-text pass without authorizing any benchmark row edit.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/nb3sn_fulltext_numeric_acquisition_packet.json: execution packet for the first dedicated full-text numeric extraction pass on the strongest current A15 candidate.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/nb3ge_fulltext_numeric_acquisition_packet.json: execution packet for the matching full-text numeric extraction pass on the weaker current A15 candidate.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/a15_fulltext_table_target_map.json: map of the most likely full-text tables or sections to inspect for A15 phonon and lambda numeric extraction.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/nb3sn_raw_page_capture_checklist.json: step-by-step capture checklist for the first real Nb3Sn full-text extraction pass.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/nb3ge_raw_page_capture_checklist.json: matching step-by-step capture checklist for the first real Nb3Ge full-text extraction pass.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/vanadium_fulltext_numeric_acquisition_packet.json: execution packet for the top-priority elemental row, including the citation-integrity gate that must be cleared before any Vanadium row is treated as stable.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/vanadium_raw_page_capture_checklist.json: matching step-by-step capture checklist for the first real Vanadium full-text extraction pass, with page-confirmation baked in.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/vanadium_citation_integrity_report.json: explicit weighing of the competing Vanadium page claims, showing that APS-style pagination is now better supported but still not fully page-confirmed.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/residual_extraction_dashboard.json: one-file dashboard for the three unresolved rows, their current blockers, and their shortest next actions.
  • those external intake rows are now prefilled with DOI/source anchors and expected units, so the next pass can focus on row locator, archived path, and extracted values.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/external_acquisition_queue.json: external sequencing queue for which residual row should be archived first.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/topic_handoff_gate.json: external-to-topic checkpoint for deciding when archived row evidence is complete enough to enter topic-local review.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/vanadium/archive_dossier.json: per-row external archive checklist for the first residual blocker.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/nb3sn/archive_dossier.json and .../nb3ge/archive_dossier.json: per-row external archive checklists for the A15 pair.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/candidate_local_source_anchors.json: local repo citation hints that may help the next archive pass, without being misread as source-locked evidence.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/nb3sn/source_record.json and .../nb3ge/source_record.json: pinned publication anchors for the A15 rows.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/vanadium/source_record.json: bibliographic publication anchor for Vanadium until a direct row-level transcription is archived.
  • docs/data/external/condensed_matter/superconductivity/row_resolution_targets/vanadium/tc_text_capture_record.json, .../theta_text_capture_record.json, .../lambda_text_capture_record.json, .../mu_star_hint_record.json, and .../vanadium_numeric_hint_summary.json: early Vanadium evidence captures and consolidated hint controls that improve intake readiness without clearing the primary raw-page gate or supplying row-usable values.
  • the current local repo scan did not find any exact raw PDF or reference-file match for the three residual rows, so the next pass still has to archive row evidence from outside the repo even though publication anchors are now pinned.
  • the current publication anchors are also not field-complete: Nb3Sn and Nb3Ge support Tc scope from abstract/record text, while Vanadium now has secondary-host Tc and Theta_D text capture; none of the three currently demonstrates lambda_ep or mu_star coverage.
  • Vanadium now also has secondary-host text capture for Tc and Theta_D, which is stronger than title-only scope but still below primary raw-page evidence.
  • Vanadium now also has abstract-level field support for electron-phonon interactions, which narrows the lambda_ep search but still does not provide a row-specific coupling value.
  • Vanadium now also has a narrowed secondary hint range for mu_star, which helps convention control but still does not count as row-usable evidence.
  • Vanadium now also has a consolidated secondary numeric hint layer across Tc, Theta_D, lambda_ep, and mu_star, but that layer is still below patch-review standard.
  • Vanadium now also has open-fulltext numeric captures for lambda_ep and mu_star, but those still require compatibility review before they can be treated as benchmark-row inputs.
  • the new Vanadium compatibility packet now makes the remaining conflict explicit: the captured lambda and mu_star values do not simply validate the current working row or the older internal lambda=0.6 candidate.
  • the new Vanadium patch-block decision now freezes that implication at the workflow level: the older lambda-only preview must not be executed unless the external conflicts are resolved.
  • the new Vanadium primary-capture requirement packet now spells out exactly what the first primary page capture must prove before the row can even re-enter patch consideration.
  • the Vanadium full-text packet, external queue, and topic handoff gate now all point to the same narrower endgame: primary raw-page confirmation for Tc and Theta_D, then row-usable upgrades for lambda_ep and mu_star.
  • the new source-gap matrix now makes the next archive pass sharper: Tc can stay on the current publication anchors, but Theta_D/omega_log, lambda_ep, and most mu_star work must move to supplemental-source capture.
  • the new supplemental-source candidate map now pins likely follow-up literature for those non-Tc fields, so the next pass can start from named source families instead of a blank search.
  • the new supplemental-source selection matrix goes one step further and recommends which source family to inspect first for each unresolved field.
  • the new A15 extraction plan turns that recommendation into an order of operations, so Nb3Sn and Nb3Ge can be worked field by field without reconstructing the logic.
  • the new A15 Tc capture stub takes the first field in that plan and turns it into a direct extraction form, so the next pass can start with transcription rather than governance.
  • Nb3Sn and Nb3Ge now also have first-pass Tc text capture populated from the primary abstract/record layer, but they are still not archive-complete because no raw page/PDF path has been mirrored into the repo yet.
  • those first-pass Tc captures are now also materialized as per-material evidence records under the external layer, so the repo has a concrete artifact rather than only a shared stub.
  • the next A15 field now has its own capture surface too, so the workflow can move from Tc into phonon-proxy extraction without inventing another format.
  • the A15 lambda field now also has a capture surface with abstract-level support text, so the next pass can move toward row values instead of re-proving field relevance.
  • the A15 phonon and lambda support texts are now also materialized as per-material evidence records, so the repo holds concrete artifacts rather than only shared stubs.
  • the new numeric-gap report now draws the line clearly: Tc has text-layer numbers, but the phonon and lambda fields still do not have row-specific numeric captures.
  • the new web-access numeric blocker report goes one step further and records that this is no longer just a search-planning gap: the current abstract/record layer itself is insufficient, so the next A15 pass has to move to full-text, full-table, or mirrored-raw extraction.
  • the new secondary numeric hint report records one more nuance: Nb3Sn now has weak secondary numeric clues for lambda and Debye-scale temperature, but they remain below row-usable standard and only help prioritize the next full-text pass.
  • the new Nb3Sn full-text numeric acquisition packet turns that prioritization into a concrete execution handoff, so the next pass can try to capture raw-page numeric values instead of rebuilding the field checklist again.
  • the new Nb3Ge full-text numeric acquisition packet gives the A15 pair a symmetric handoff too, while still being honest that Nb3Ge has weaker hint support and depends more directly on full-text numeric capture.
  • the new A15 full-text table target map narrows the extraction pass one step further by saying which tables or sections in the chosen full-text sources are actually worth opening first.
  • the new Nb3Sn raw-page capture checklist turns that map into a literal extraction worksheet, so the next pass can open the source and capture the needed fields without reconstructing the order of operations.
  • the new Nb3Ge raw-page capture checklist does the same for the second A15 row, so the pair now has symmetric extraction worksheets rather than only shared planning artifacts.
  • the new Vanadium full-text numeric acquisition packet now gives the top-priority blocker the same treatment, but with one extra guardrail: the citation-integrity conflict has to be cleared before any captured row can be treated as stable.
  • the new Vanadium raw-page capture checklist pushes that one step further by turning the guardrail into an explicit extraction worksheet, so page confirmation and row capture stay tied together.
  • the new Vanadium citation integrity report narrows that conflict further: APS-style pagination now has stronger bibliographic support than the MIT course reference chain, but raw page confirmation is still required before the row can be trusted.
  • the new residual extraction dashboard now pulls all three unresolved rows into one control surface, so a future extraction pass can start from one file instead of hopping across packets, reports, and checklists.
  • that A15 phonon capture surface now also contains an abstract-level proxy-convention note saying Debye temperature is generally a bad estimate of omega_log, but it still does not contain row-specific phonon values.
  • Data/03_Research/source_evidence_intake_stub.json: topic-level provenance queue for raw baseline, normalization, Allen-Dynes, and high-Tc branches.
  • Data/03_Research/branch_claim_gate.json: topic-level branch ceiling showing that only the raw baseline failure diagnostic is currently accepted.

Current Limitations

  • Many material inputs are topic-local working copies rather than normalized upstream archives.
  • Raw McMillan error is currently high and must be reported honestly.
  • The inverse-McMillan audit points the next cleanup at row-level lambda_ep, Theta_D_K, and material-specific phonon-scale provenance.
  • The provisional normalized table is useful only for sensitivity analysis; it must not be cited as a source-backed repaired dataset.
  • UET coherence and relativistic correction terms are heuristic/calibration-sensitive.
  • High-Tc and hydride claims need separate source-backed gates before promotion.
  • Topic-level branch gates now keep row-normalization work, Allen-Dynes/UET branches, and universal-superconductivity claims from piggybacking on the raw baseline artifact.

Status note: internal benchmark and formula-audit hardening gate.