Complete response classification
Eight irredundant generators for coherent complex Dirac matter; six when real Majorana masses are also allowed. The proof has no representation-size cutoff.
Papers and reproducible results
Couplings, measurements, and the models they admit.
The featured axion paper classifies which heavy sectors can produce a given gauge response and derives conditional running bounds. Two related papers determine which interventions identify a trimer Hamiltonian and when a field description is observationally distinct from a competitor. The separate CHC Framework Series v2.0 archive contains 72 fixed manuscripts.
Featured paper · Axion theory
Which Axion Couplings Admit Heavy-Fermion Completions?
Global quantization does not decide which axion couplings heavy particles can generate. This paper classifies the complete gauge response of specified Dirac and Dirac–Majorana matter classes, determines their minimum contribution to gauge running, and derives conditional heavy-threshold bounds. The central classification requires no CHC hypothesis.
Exact anomaly–running compatibility
A necessary-and-sufficient integer test gives the complete minimal running frontier: at most 70 Dirac candidates, or nine with Majorana masses, for any anomaly vector.
Conditional threshold bounds
Published Standard Model inputs turn the arithmetic restriction into a heavy-mass bound. The stated benchmark is stronger than the componentwise triangle test, under the same validity assumptions.
The generators classify coupling responses, not unique particle spectra. Cosmological applications require separately specified interactions and thermal histories. This is a theoretical preprint, not an experimental detection.
Independent inverse-problem and experimental-design paper
Passive spectra and currents do not identify a general trimer; two edge attenuations do.
The 21-page paper proves an exact two-dimensional passive ambiguity, an explicit finite ambiguity after one intervention, and a closed-form global inverse after two distinct calibrated edge attenuations. It also reports a reproducible, figure-level spectrum–current audit of public superconducting-qubit results without converting compatibility into confirmation.
No-go theorem
Exact invariant compression
Five trace-free microscopic coordinates enter all passive spectra and nondegenerate currents through only three polynomial invariants.
Global inverse
Two distinct interventions
Two calibrated labelled-edge attenuations recover every site offset and positive hopping magnitude by closed-form equations.
Public-data boundary
Compatibility, not confirmation
Twenty registered intervals pass the conservative figure-resolution enclosure; absent raw covariance, no formal rejection or acceptance is claimed.
Methods-and-theory paper
One theorem tests whether a proposed distinction reaches observation.
The 35-page paper joins regular-branch and functional-saturation no-go results to finite predictive codimension, named-comparator exposure, covariance-weighted local power, and one prospectively fixed compact-holonomy test. It is derived from CHC v2.0 but has its own DOI and publication record.
Theorem
Restriction, distinction, and power
Separate ambient falsifiability from distinction against a specified competitor and from attainable measurement precision.
Prospective test
One fixed primary decision
Twelve phases, independent spectrum and current measurements, full covariance, validity gates, and one rejection threshold.
Scope
No theory-identity shortcut
The symmetric trimer is also the standard magnetic graph. Agreement cannot identify a cosmological compact field.
Current review status
Keep objections visible without changing the archive.
The archive remains the citable source. A separate status page tracks open objections, candidate downgrades, failed gates, and next checks.
Fixed source
The Zenodo archive remains the citable target, so criticism has something stable to hit.
Current objections
The review-status page shows which claims are most vulnerable, what would count as failure, and which objections would move the project.
Status changes
Corrections, downgrades, failed gates, sharper references, and stronger tests become public status changes rather than hidden maintenance.
Research entry points
Bounded claims can be checked against ordinary comparators.
Each route reduces the archive to a bounded question with a comparator, failure condition, and status basis, without requiring full-framework acceptance.
CHC does not ask readers to replace established QFT, GR, cosmology, or open-system machinery.
It routes claims through local record formation, boundary conditions, ordinary comparators, and controlled recovery limits.
It asks which calculated structures become stable records, shared facts, interfacial outcomes, or bounded public-data constraints.
The practical entry point is one claim family at a time: detector records, objectivity, branch budgets, or public stress tests.
Background, measurement, and benchmark notes
Use these notes after the claim routes are clear.
These three papers address interpretive background, finite-window measurement and objectivity, and raw-fragment QD/SBS redundancy tests. They remain independent of the 72-paper CHC archive and do not alter its validation status.
Background note
Phase-Background Realism
A philosophy-of-physics manuscript for interpretive background, bounded by recovery, ordinary-theory comparison, and failure-preserving evidence.
Adjacent research note
Measurement note
Durable Records and Redundant Objectivity
A quantum-measurement note separating measurement-map statistics, detector readout records, and redundant objectivity criteria on finite observation windows.
Adjacent research note
Benchmark note
Raw-Fragment QD/SBS Benchmark
A synthetic raw-fragment QD/SBS benchmark for all-subsets redundancy, disagreement diagnostics, negative controls, and common-mode fragility checks.
Adjacent research note
Reading routes through the 72-paper archive
Select one technical route before opening the full archive.
Each route identifies a technical surface and asks whether the bounded CHC claim survives its closest ordinary comparator. The route table converts the broad archive into inspectable entry points.
| Route | What to inspect | Current posture | Good first question |
|---|---|---|---|
| Mathematical spine | CHC-min action, constrained scalar sector, effective stiffness, and branch assumptions. | formula anchors for review, not proof of whole-framework validation | What assumptions make the root route well-posed? |
| Recovery limits | Controlled recovery, ordinary GR/QFT limits, and declared exclusion criteria. | ordinary limits remain the default comparator | What exactly is recovered, and at what order or window? |
| Detector records | SPAD, SNSPD, CCD, PMT, bubble-chamber, readout, latch, and durable-output rows. | orientation-only across completed detector-family rows | Does any record layer survive beyond ordinary detector/readout language? |
| Objectivity | SBS, quantum Darwinism, pointer stability, and shared-fact certificate comparisons. | likely redundant or equivalent-or-weaker in the named SBS case | Is the CHC certificate redundant, weaker, or stricter than standard objectivity criteria? |
| Interface budgets | Externalized, retained, and dissipated channels under a fixed calibration map. | candidate-only and blocked without a public fixed calibration artifact | Can one public calibration artifact close the branch budget? |
| Public-data gates | DE, CMB, TDC, FRC/CHIME labels and rerun or blocked-artifact status. | bounded labels: non-exclusion, partial, proxy, blocked, or failed | Which labels are non-exclusion, partial, failed, blocked, or rerunnable? |
| Typed sector language | Exact, recovery, compatibility, exclusion, and public-data labels across sectors. | claim governance only, not evidence promotion | Does the type discipline clarify claims without promoting unlike evidence? |
Archive boundary. The active surface is 72 papers: 47 parent papers plus
25 companion manuscripts. Companion entries are reviewable, but their evidentiary weight stays tied to
the parent claim, support lane, or public-data window they serve.
Included
- 72-paper parent-and-companion manuscript navigation.
- A 21-page flux-trimer inverse-problem paper with an exact no-go theorem, globally identifying intervention design, and public-data audit.
- A 92-page axion-classification paper with exact response tests, conditional running bounds, and reproducibility code.
- A 35-page distinguishability paper with its own DOI, theorem comparison, and prospective test.
- One-page first-reader overview.
- Framework orientation around phase, coherence, boundary conditions, records, and recovery limits.
- Per-paper guide pages with manuscript-based orientation.
- Current review-status page for visible criticism lanes and next review actions.
- Canonical Zenodo DOI link for the v2.0 public archive.
- Version-note slots for later corrections or updates.
Excluded
- No web-only claims.
- No empirical confirmation statement from the index itself.
- No final replacement claim for established physical theories from the index itself.
- No implication of journal publication, peer review, or independent validation.
- No claim that a single maintainer can complete full-framework validation alone.
Series sections
Full release map.
01-02
Root and background branch
The covariant expansion-phase root and the homogeneous background response used as the public entry point.
03-10
Propagation, measurement, and records
Common propagation classes, event statistics, detector-local commit, readout, and shared-fact records.
11-16
Relativity, clocks, and bound structures
De Broglie recovery, light-speed distinctions, cosmic time, and phase-decoupling tests.
17-20
Matter response and dynamical memory
Composite matter, vibrational spectra, tunneling, and boundary-memory prototypes.
21-29
Calibration and public witness windows
Declared calibration ledgers and observational stress windows for cosmology, compact objects, and carrier conversion.
30-35
Gauge, electroweak, and strong-sector windows
Matter-coupled gauge sheets, anomaly ledgers, electroweak structure, confinement grammar, and fit windows.
36-40
Completion, duality, and typed synthesis
Vacuum selection, compact fibers, duality benchmarks, large-N comparators, and cross-sector language.
41-45
Phase loading, commit cadence, and mass loading
Late-series finite-window identities for phase loading, commit cadence, neutrino response, and charged-lepton loading.
46-47
Predictive closure and finite holonomy benchmark
The common microscopic-closure criterion and a complete finite loop-holonomy realization with an exact spectral test.