Orientation guide

Choose a 10-minute path before opening the full archive.

This page routes readers through the coordinated 72-paper release. Begin with Papers 01, 46, and 47, then choose the sector closest to the question under review. The guide lowers the first barrier for outside readers: pick the question closest to your field, read a small set first, then return to the manuscript archive.

Claim authority. Scientific claims are defined by the manuscripts. Guide text is a routing aid only.

First 10 minutes Researcher entry points All papers Zenodo archive

First 10 minutes

Get the shape of the work before reading technical detail.

One-sentence thesis

CHC v2.0 asks whether one compact-phase action and finite microscopic couplings can produce observable restrictions that survive recovery, nuisance profiling, and direct tests.

One-paragraph thesis

The root paper fixes the regular scalar-tensor content and the global role of compact topology. CHC-MCL states when action, probability, memory, and inference are sufficiently closed to retain predictive content. CHC-MHB then supplies one complete finite holonomy model with an exact scale-free invariant and a phase-null control. The remaining papers extend, test, or delimit those claims across physical sectors.

What this guide is for

Find why a bounded part of CHC may be worth checking before reading details.
Separate root framework, measurement, cosmology, gauge, and completion layers.
Keep visual guide material secondary to manuscript records.
Use the version DOI when citing the fixed v2.0 archive and the concept DOI when citing all versions.

What not to expect

Not an empirical confirmation statement.
Not a standard-model, general-relativity, or cosmology replacement announcement.
Not a product, benchmark, or implementation disclosure.
Not a substitute for paper assumptions and exclusions.
Not a claim that every lane is owner-level closed.
Not a replacement for archive records or manuscript PDFs.

For outside researchers

Start from the extra question CHC asks on top of existing tools.

CHC is not offered here as a superior replacement for QFT, GR, cosmology, or open quantum systems. Its possible value is narrower: it asks which calculated structures become stable records, shared facts, interfacial outcomes, or bounded public-data constraints. These routes are designed so a reader can test one claim family without accepting the whole framework.

See full reading paths

ENTRY 01

Predictive core

What is derived, what remains adjustable, and what can be rejected?

Read the covariant root, the microscopic-closure theorem, and the exact finite holonomy benchmark as one argument.

Claim family: Root dynamics, predictive closure, and a finite parameter-free spectral restriction.
Standard tools retained: Scalar-tensor reduction, inverse variational theory, quantum instruments, passive systems, differential identifiability, and finite tight-binding spectra.
What CHC adds: A common closure standard and one compact-loop realization that satisfies it.
Failure condition: No nonzero compatibility direction survives profiling, or the prospective invariant and open-chain control fail.

01 CHC CHC: A Restricted Covariant Expansion-Phase Scalar-Tensor Framework with Controlled General-Relativistic Recovery 46 CHC-MCL Microscopic Closure, Functional Nuisance, and Predictive Rank in the Compact-Phase Framework 47 CHC-MHB Microscopic Compact-Holonomy Benchmark and Spectral-Invariant Test

ENTRY 02

Detector records

When does a threshold crossing become a recorded event?

Start where the series separates switching, failed transients, local commit, latching, and durable record-counting.

Claim family: Detector-local event closure and durable record formation.
Standard tools retained: Propagation, detector physics, thermodynamic switching models.
What CHC adds: A typed separation between threshold crossing, local commit, latching, and record status.
Failure condition: No declared detector family supports the cross-observable record-side constraints without retuning.

05 CHC-OPL Operational Phase-Link and Local Commit Grammar for Detector-Local Opening and Thresholds in the CHC Framework 06 CHC-DBC Dynamic Boundary Insertion, Detector Memory, and Pre-Latch Trigger Sinks in Wave--Detector Systems 07 CHC-DTM Detector Thermodynamics, Metastable Amplification, and Irreversible Readout 10 CHC-RSF A Durable-Record Certificate Ladder from Detector Semantics to Shared-Fact Conditions

ENTRY 03

Classical objectivity

When is decoherence not enough for a shared fact?

Read the redundant-record route as a stricter objectivity filter using accessibility, consensus, discord leakage, and pointer stability.

Claim family: Redundant-record objectivity and shared-fact certification.
Standard tools retained: Open-system dynamics, decoherence, pointer-state analysis, fragment access models.
What CHC adds: A certificate layer separating decohered states from publicly recoverable, consensus-bearing records.
Failure condition: The added certificate conditions do not exclude or organize any case beyond ordinary decoherence language.

08 CHC-RIF A Fail-Closed Plateau Protocol for Residual Irreversibility Floors in Interference and Echo Observables 09 CHC-OBJ Classical Objectivity from Redundant Records: Fragment Inference and Certificate Ladders 10 CHC-RSF A Durable-Record Certificate Ladder from Detector Semantics to Shared-Fact Conditions

ENTRY 04

Interfacial outcomes

How does absorbed excitation become externalized, retained, or dissipated?

Use the branch-budget route as a middle-layer interface grammar, explicitly not as a Maxwell, QED, or detector-microphysics replacement.

Claim family: Interfacial branch budgets for absorbed excitation.
Standard tools retained: Maxwell/QED calculations, material response, transport, dissipation, detector microphysics.
What CHC adds: A record-facing budget grammar for externalized outcome, retained/internal ledger, and dissipative sink branches.
Failure condition: Branch labels cannot be tied to conserved budgets, measured channels, or reproducible interface regimes.

29 CHC-CBL Interfacial Commit Branching Laws and Conditional Branch-Budget Estimation for Electromagnetic Carrier Conversion

ENTRY 05

Public stress tests

Can bounded CHC constraints survive public-data checks?

Open the witness-window papers first, then check whether the declared support or stress labels stay within their non-claim boundaries.

Claim family: Public-data witness windows, exclusions, reproductions, and holdout-style stress tests.
Standard tools retained: Public catalogs, standard statistics, astrophysical/cosmological baselines, reproducibility checks.
What CHC adds: A claim-boundary discipline for separating support, stress, nonexclusion, block, and failure labels.
Failure condition: The windows require post-hoc retuning, overstate support labels, or fail to produce bounded exclusions.

21 CHC-CCL Task-Fixed pi Readout within a Declared Solar-System Calibration Window 23 CHC-FRC Fast-Radio-Burst Source Counts and Log-Shell Event-Rate Inference in a Near-Euclidean Window 24 CHC-TDC Strong-Lens Time-Delay Cosmography in the CHC Framework: Fermat Potentials, Distance Factors, and Inference Control 27 CHC-CMB Primary-Sector Width and Linked-Ruler Constraints in a Restricted Phase-Field Description of the Cosmic Microwave Background 28 CHC-QAC Quasi-local Angular-Momentum Compensation Grammar on Declared Cosmological Domains in the CHC Framework 29 CHC-CBL Interfacial Commit Branching Laws and Conditional Branch-Budget Estimation for Electromagnetic Carrier Conversion

For skeptical readers. The intended first test is not whether the full CHC program is true. Start with one bounded claim family: detector-record formation, shared-fact certificates, interfacial branch budgets, or public-data stress windows. Each should be judged by its stated assumptions, recovery limits, exclusion conditions, and whether it survives as more than retrospective reinterpretation.

Failure condition. If no bounded claim, exclusion, reproduction, or holdout-style test survives scrutiny beyond retrospective interpretation, CHC should be treated as a philosophical or heuristic framework rather than as a competing physical theory.

Concrete examples

What CHC is doing across the 72-paper archive.

A large theory archive is easy to misread as one sweeping assertion. This guide instead points to concrete moves: where CHC introduces a boundary distinction, what ordinary tools remain in force, and what would make the distinction useful, redundant, blocked, or false.

Open current review status

EXAMPLE 01

DE / CR2 / CMB

Cosmology as a sequence of declared windows

The cosmology-facing papers separate homogeneous phase-flat response, chronometer inference, bound-structure decoupling, and primary-sector ruler constraints. This lets a reader ask a narrower question than whether CHC replaces cosmology: which background, clock, ruler, or width statement is being made, and under which recovery or exclusion condition?

02 CHC-DE Homogeneous Phase-Flatness and Dark-Energy-Like Background Response in the Covariant Expansion-Phase Framework 13 CHC-CR2 Phase-Curvature Effects on Cosmic Time and Chronometer Inference 14 CHC-CM1 Phase-Decoupling of Bound Structures in an Expanding Universe 27 CHC-CMB Primary-Sector Width and Linked-Ruler Constraints in a Restricted Phase-Field Description of the Cosmic Microwave Background

EXAMPLE 02

OPL / DBC / DTM / RSF

Measurement as threshold, commit, latch, and durable record

The measurement papers treat a detector event as a layered process: propagation reaches an effect domain, a local opening or threshold is crossed, a metastable device commits or fails to commit, and only some outputs become durable records. That grammar is useful because it can be checked directly against ordinary detector/readout models.

05 CHC-OPL Operational Phase-Link and Local Commit Grammar for Detector-Local Opening and Thresholds in the CHC Framework 06 CHC-DBC Dynamic Boundary Insertion, Detector Memory, and Pre-Latch Trigger Sinks in Wave--Detector Systems 07 CHC-DTM Detector Thermodynamics, Metastable Amplification, and Irreversible Readout 10 CHC-RSF A Durable-Record Certificate Ladder from Detector Semantics to Shared-Fact Conditions

EXAMPLE 03

OBJ / RSF

Shared facts as public recoverability, not private decoherence alone

The objectivity route asks whether redundant records become publicly recoverable and consensus-bearing, rather than only decohered in a formal state description. Its review value is also its risk: if quantum Darwinism, spectrum broadcast structure, pointer stability, or fragment-access criteria already cover the case, CHC wording should be narrowed or retired.

09 CHC-OBJ Classical Objectivity from Redundant Records: Fragment Inference and Certificate Ladders 10 CHC-RSF A Durable-Record Certificate Ladder from Detector Semantics to Shared-Fact Conditions

EXAMPLE 04

CBL / CBL-VP0 / CBL-VP1

Interfaces as branch-budget accounting

The interfacial branch-budget route asks whether absorbed excitation can be tracked into externalized, retained, and dissipated channels under one calibration map. The companion records are useful as public-pilot and support surfaces, but they remain bounded: they can sharpen or downgrade the branch grammar without validating the parent claim by themselves.

29 CHC-CBL Interfacial Commit Branching Laws and Conditional Branch-Budget Estimation for Electromagnetic Carrier Conversion 29-1 CHC-CBL-VP0 Public Branch-Law Pilot Gates for CHC-CBL 29-2 CHC-CBL-VP1 Same-Window Public Optical Branch-Budget Gate in IGDB for CHC-CBL

EXAMPLE 05

FRC / TDC / QAC companions

Public data as stress surfaces, not loose support

The public-data companions make source basis, selection risk, reproducibility status, and downgrade condition visible. FRC/CHIME is the clearest example: the rerun surface is public, but the declared selection-stress condition fails, so the correct value is transparency and falsifiability rather than support inflation.

23 CHC-FRC Fast-Radio-Burst Source Counts and Log-Shell Event-Rate Inference in a Near-Euclidean Window 23-3 CHC-FRC-VP2 FRC-VP2: CHIME Catalog 1 Injection-Selection Surface Gates in CHC 24 CHC-TDC Strong-Lens Time-Delay Cosmography in the CHC Framework: Fermat Potentials, Distance Factors, and Inference Control 24-1 CHC-TDC-VP1 CHC-TDC-VP1: Public-Posterior Residual Gates for Time-Delay Cosmography 28 CHC-QAC Quasi-local Angular-Momentum Compensation Grammar on Declared Cosmological Domains in the CHC Framework 28-7 CHC-QAC-VP6 Mass-Weighted Observable-Family Bridge Gates in CHC

EXAMPLE 06

BH1 / BH2

Black-hole questions as accessibility and return-boundary problems

The black-hole papers approach horizons, evaporation, memory, and return kernels through conditional access and boundary structure. The series value is in making those assumptions explicit enough to compare with standard black-hole, JT-bath, and information-flow accounts.

25 CHC-BH1 Black-Hole Horizons as Accessibility Boundaries: Hawking Recovery, Information Repartition, and Hidden Conditional Dependence 26 CHC-BH2 JT-Bath Evaporation, Schwarzian Memory, and Non-Markovian Return Kernels

Inspectable targets. The archive is worth reading where broad interpretive questions become named review surfaces: clocks, rulers, records, shared facts, interfaces, horizons, source-count windows, and public-data support lanes. The value is not a validation claim; each surface can be challenged, narrowed, blocked, or retired without accepting the whole framework.

Formula anchors

Use equations as navigational handles, not decorative authority.

Technical readers need concrete places to start. This guide surfaces a small set of readable anchors so visitors can see where to challenge the action, recovery conditions, boundary bookkeeping, and phase-loading identity.

Open CHC root

Use with the audit map. These equations are not decorative authority. They are review handles for the mathematical spine, recovery route, boundary bookkeeping, and typed sector language. Open featured audit cases.

Action-level entry

The CHC-min spine is the right first formula.

\mathcal{L}_{\mathrm{CHC}} =-\frac{M_{\mathcal H}^{2}}{2}X_{\mathcal H} -\frac{M_{\Phi}^{2}}{2}X_{\Phi} -U(\mathcal H,\Phi) +\Omega(\Phi-f(\mathcal H))

Read as: A constrained scalar-sector grammar whose boundary conditions and reduction assumptions have to be checked in the root manuscripts.
Do not read as: A standalone proof that the whole archive is physically correct.

Recovery condition

Effective stiffness turns recovery into a checkable condition.

M_{\mathrm{eff}}^{2}(\mathcal H) \equiv M_{\mathcal H}^{2} +M_{\Phi}^{2}\left(f'(\mathcal H)\right)^{2}, \qquad \Xi\sim \frac{\Lambda_{\Xi}^{4}} {M_{\mathrm{eff}}^{2}\lVert\nabla\mathcal H\rVert_{\mathrm{bg}}^{2}}

Read as: A reader-facing handle for asking where GR-like recovery, positive stiffness, and background limits are assumed.
Do not read as: A universal perturbation parameter that can be moved across every manuscript without its declared boundary.

Boundary term

Boundary conditions are part of the claim, not decoration.

S_{\mathrm{bdry}}^{\mathrm{CHC}} =\int_{\partial M}\sqrt{|h|} \left(M_{\mathcal H}^{2}\mathcal H\,\partial_{n}\mathcal H +M_{\Phi}^{2}\Phi\,\partial_{n}\Phi\right)

Read as: A reminder that Neumann or mixed-boundary readings need variational bookkeeping before being used in physical interpretation.
Do not read as: An extra term to invoke where ordinary Dirichlet conditions or manuscript assumptions do not call for it.

Phase loading

Sector exchange is an exact-identity style claim only where derived.

\lambda_{(a)} =\frac{1}{\Lambda_{\Xi}^{4}\sqrt{-g}} \frac{\delta S_{(a)}}{\delta\mathcal H}, \qquad \nabla_{\mu}T_{(a)}^{\mu\nu} =\Lambda_{\Xi}^{4}\lambda_{(a)}\nabla^{\nu}\mathcal H

Read as: A route for discussing cross-sector exchange and phase-loading language under typed claim status.
Do not read as: A license to treat every particle-physics or cosmology statement as an empirically verified CHC residue.

Gate examples

Partial, failed, and non-overturn labels should be easy to see.

A researcher-facing archive becomes more credible when it does not flatten outcomes. These examples keep detailed evaluation material in bounded review language.

Open public-data labels

DE-VP0

Background non-exclusion

Useful as a bounded question about whether phase-flat background behavior remains inside ordinary posterior envelopes. It should not be presented as dark-energy closure.

CMB-VP0

Primary diagnostic partial

Width, acoustic-angle, linked-ruler, and later-transfer checks should be separated so a reader can challenge the exact gate that is being invoked.

FRC-VP2

Selection stress

The CHIME route is a strong public negative example: high selection-response variability is preserved as stress, not converted into support.

TDC-VP2

Relaxed proxy non-overturn

The time-delay lensing route is best read as proxy-level stress language with mass-profile and kinematic limitations explicit.

ULS

Typed claim promotion

Exact, Recover, Struct, Exclude, and Compat roles help readers avoid mixing theorem-like identities, recovery limits, public-data labels, and conjectural bridges.

Phase Origin comparison

The name is useful because phase origins matter in several technical settings.

The cryo-EM and quantum-chemistry comparison is valuable as naming and orientation. It should be stated as an analogy about phase readability and gauge discipline, not as evidence that CHC is true.

Domain	Technical setting	Phase-origin role	Boundary
CHC	Covariant scalar-tensor and field-theory archive	Uses a phase-background reference route to organize recovery, boundary, and sector-exchange questions.	Scientific value still depends on manuscript-level assumptions and external review.
Cryo-EM	Fourier-space image processing	Phase-origin handling makes Fourier phase structure readable against the intended real-space reference.	An analogy for phase readability, not evidence for CHC physics.
DIRAC / DALTON	Relativistic quantum chemistry	Gauge or phase-origin choices help keep magnetic-response and London-orbital calculations interpretable.	An analogy for origin discipline, not a cross-domain proof.

Reader router

Pick the route closest to your question.

Open full archive

PATH 01

Core theory

I want the framework spine.

Start with the root and background papers, then move into recovery and calibration anchors.

01 CHC CHC: A Restricted Covariant Expansion-Phase Scalar-Tensor Framework with Controlled General-Relativistic Recovery 46 CHC-MCL Microscopic Closure, Functional Nuisance, and Predictive Rank in the Compact-Phase Framework 47 CHC-MHB Microscopic Compact-Holonomy Benchmark and Spectral-Invariant Test 02 CHC-DE Homogeneous Phase-Flatness and Dark-Energy-Like Background Response in the Covariant Expansion-Phase Framework 12 CHC-CR1 Local and Global Light Speed in the CHC Framework 13 CHC-CR2 Phase-Curvature Effects on Cosmic Time and Chronometer Inference 21 CHC-CCL Task-Fixed pi Readout within a Declared Solar-System Calibration Window 27 CHC-CMB Primary-Sector Width and Linked-Ruler Constraints in a Restricted Phase-Field Description of the Cosmic Microwave Background

PATH 02

Measurement and records

I care about measurement, clicks, and shared facts.

Follow propagation into event statistics, detector-local commit, durable records, and objectivity criteria.

03 CHC-QCHC Common Propagation Classes and Positive-Frequency Wave Mechanics in the CHC Framework 05 CHC-OPL Operational Phase-Link and Local Commit Grammar for Detector-Local Opening and Thresholds in the CHC Framework 06 CHC-DBC Dynamic Boundary Insertion, Detector Memory, and Pre-Latch Trigger Sinks in Wave--Detector Systems 07 CHC-DTM Detector Thermodynamics, Metastable Amplification, and Irreversible Readout 08 CHC-RIF A Fail-Closed Plateau Protocol for Residual Irreversibility Floors in Interference and Echo Observables 09 CHC-OBJ Classical Objectivity from Redundant Records: Fragment Inference and Certificate Ladders 10 CHC-RSF A Durable-Record Certificate Ladder from Detector Semantics to Shared-Fact Conditions

PATH 03

Empirical skeptic

I want public-data and stress-test surfaces.

Open the declared public witness windows first, then read each boundary as part of the result.

21 CHC-CCL Task-Fixed pi Readout within a Declared Solar-System Calibration Window 23 CHC-FRC Fast-Radio-Burst Source Counts and Log-Shell Event-Rate Inference in a Near-Euclidean Window 24 CHC-TDC Strong-Lens Time-Delay Cosmography in the CHC Framework: Fermat Potentials, Distance Factors, and Inference Control 27 CHC-CMB Primary-Sector Width and Linked-Ruler Constraints in a Restricted Phase-Field Description of the Cosmic Microwave Background 28 CHC-QAC Quasi-local Angular-Momentum Compensation Grammar on Declared Cosmological Domains in the CHC Framework 29 CHC-CBL Interfacial Commit Branching Laws and Conditional Branch-Budget Estimation for Electromagnetic Carrier Conversion

PATH 04

Boundary auditor

I am checking what is not being claimed.

Use the root, source-authority, and witness-window papers to track exclusions before details.

01 CHC CHC: A Restricted Covariant Expansion-Phase Scalar-Tensor Framework with Controlled General-Relativistic Recovery 21 CHC-CCL Task-Fixed pi Readout within a Declared Solar-System Calibration Window 23 CHC-FRC Fast-Radio-Burst Source Counts and Log-Shell Event-Rate Inference in a Near-Euclidean Window 24 CHC-TDC Strong-Lens Time-Delay Cosmography in the CHC Framework: Fermat Potentials, Distance Factors, and Inference Control 27 CHC-CMB Primary-Sector Width and Linked-Ruler Constraints in a Restricted Phase-Field Description of the Cosmic Microwave Background

Series structure

The release is grouped by function.

Open full 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.

Reader-safe terms

These terms help orientation. They do not widen manuscript claims.

Term	Reader-safe meaning	Do not read it as
Source-authority lane	The manuscript sequence used to keep the website and paper list aligned.	A blanket owner-level theorem closure for every paper.
Public support lane	A bounded support or witness surface described by its source paper.	An unrestricted empirical confirmation claim.
Per-paper guide	A web guide page for manuscript-based orientation, structure, status, and future links.	A web-only scientific statement.

FAQ

Why not keep the old first-paper guide exactly?

The release plan changed. The richer guide structure is useful, but the page now needs to orient the full parent-and-companion map.

Should videos be on the homepage?

No. The homepage should stay manuscript-first. Videos belong on guide or media pages when they are ready.

Where should research readers start?

Use the research entry or series pages before opening individual paper guides.

What gets added as the release matures?

Additional version notes, companion-paper links, verification-package records, and final media packages.

Release boundary. This guide can become richer over time, but the order stays: manuscript records first, the canonical archive link second, companion/support records third, media/guide embeds fourth.