Chronos URF-RR

Flagship executable URF/Chronos frontier repository.

This repository records verified build surfaces, Lean interface surfaces, JSON artifacts, status documents, and verifier tests for the Chronos/URF reduction program. It is a proof-facing frontier and infrastructure repository, not a repository-level theorem-closure claim.

Current repository status

Status: CONDITIONAL_FRONTIER_EXECUTABLE_SURFACE

Current checked main head at README update time:

c02adde9

Latest build closeout recorded:

CONCRETE_ANALYTIC_EINSTEIN_MATTER_ESTIMATE_PACKAGE_CLOSEOUT_STACK
BUILD_CLOSEOUT_SURFACE_ONLY_NO_ANALYTIC_PACKAGE_PROOF
NEXT_BUILD_ALLOWED_AFTER_STOP_LOCK

Recent closeout chain:

#458 concrete analytic package closeout stack
#457 restricted concentration monotonicity proof surface
#456 local balance law dQ/dt derivation surface
#455 concrete analytic estimate package proof-obligation lock
#454 concrete analytic estimate package bridge
#453 restricted continuation norm control
#452 restricted local concentration monotonicity estimate
#451 concrete analytic estimate package target

What the repository verifies

The executable layer verifies that registered surfaces compile, artifacts match their expected schemas, status documents preserve required boundary language, and test/verifier suites pass.

Typical verification commands:

lake build
python3 -m pytest -q
git diff --check
git status --short

A successful build means the checked targets compile. It does not mean that frontier, conditional, assumed, axiom-dependent, admit-dependent, sorry-dependent, or proof-surface objects prove their headline mathematical targets.

Current analytic-package surface

The current Einstein-matter analytic-package build is stopped at:

BUILD_CLOSEOUT_SURFACE_ONLY_NO_ANALYTIC_PACKAGE_PROOF

The closeout stack records the following remaining objects as proof surfaces only:

RESTRICTED_CONTINUATION_NORM_CONTROL_PROOF
PACKAGE_COMPATIBILITY_PROOF
TARGET_INTERFACE_COMPATIBILITY_PROOF
CONCRETE_ANALYTIC_EINSTEIN_MATTER_ESTIMATE_PACKAGE_PROOF
CONCRETE_ANALYTIC_EINSTEIN_MATTER_ESTIMATE_PACKAGE_BUILD_STOP_LOCK

This is a build-closeout and status-lock result only.

Non-claims

This repository does not claim:

• analytic Einstein-matter bootstrap package proof
• concrete analytic Einstein-matter estimate package proof
• analytic derivation of the local balance law
• unconditional restricted concentration monotonicity theorem
• unconditional restricted continuation norm theorem
• threshold crossing proof
• gravity closure
• unrestricted Chronos-RR
• unrestricted H4.1/FGL
• P vs NP
• any Clay problem

Governance and boundary discipline

This repository is governed by explicit status locks, boundary documents, JSON artifacts, Lean frontier modules, and verifier tests.

Relevant files include:

CLAIMS.md
STATUS.md
STATUS_SNAPSHOT.md
OPEN_INPUTS_REGISTRY.md
docs/status/
artifacts/chronos/
lean/Chronos/Frontier/
tools/
tests/
boundaries.toml

Repository role

urf-core             = core definitions, theorem/library layer, shared foundations
chronos-urf-rr      = executable frontier/status/conditional surface
frontier-dashboard  = public dashboard/status synchronization

Minimal local verification

cd ~/chronos-urf-rr
lake build
python3 -m pytest -q
git diff --check
git status --short

Status rule

Build success, CI success, dashboards, ledgers, status documents, axioms, admits, sorries, placeholders, proof surfaces, candidate estimates, or closeout stacks do not constitute theorem-level closure.

Formal Status

Status: Conditional / Frontier Formalization

axiom is a trusted assumption, not a proof. admit is a proof hole. sorry is a proof hole.

Conditional inventory: docs/status/CONDITIONAL_FRONTIER_STATUS_2026_04_27.md

FGL-Only Status

PASS: FGL is the sole open finite-patch assumption

Open Frontier Items

• (R1) Long-Chord Exclusion Lemma
• (R2) Diameter-Separation Filling Obstruction
• (R3) Uniform Local-Type Capacity Lemma

Current Build Closeout

Status: BUILD_CLOSEOUT_SURFACE_ONLY_NO_ANALYTIC_PACKAGE_PROOF

Latest closeout chain:

#458 concrete analytic package closeout stack
#457 restricted concentration monotonicity proof surface
#456 local balance law dQ/dt derivation surface
#455 concrete analytic estimate package proof-obligation lock
#454 concrete analytic estimate package bridge
#453 restricted continuation norm control
#452 restricted local concentration monotonicity estimate
#451 concrete analytic estimate package target
Next build status:
NEXT_BUILD_ALLOWED_AFTER_STOP_LOCK
This README update is documentation only. It does not prove analytic Einstein-matter bootstrap package proof, concrete analytic Einstein-matter estimate package proof, gravity closure, Chronos-RR, H4.1/FGL, P vs NP, or any Clay problem.

## FGL-Only Statement

`terminal_assumption: FGL(k,R,B)`

`proof_shell_file: proofs/Chronos/conditional/FGL_PROOF_SHELL_2026_04.md`

`finite-patch H4.1 is conditional only on `proofs/Chronos/conditional/FGL_PROOF_SHELL_2026_04.md`.`

`PASS: FGL is the sole open finite-patch assumption`

`proofs/Chronos/conditional/FGL_PROOF_SHELL_2026_04.md`

## Governance and Claim Discipline

- [Physics Admission Standard](docs/PHYSICS_ADMISSION_STANDARD.md)
- [Program Percentage Ledger](docs/PROGRAM_PERCENTAGE_LEDGER.md)
- [Formal Physics Candidate Selection](docs/FORMAL_PHYSICS_CANDIDATE_SELECTION.md)
- [README Staleness Audit](artifacts/readme_audit/README_STALENESS_AUDIT_2026_07_04.md)