Universal Measurement Contract Protocol (UMCP): Production-grade contract-first validation framework with GCD and RCFT. Core Axiom: What Returns Through Collapse Is Real. Features bidirectional cross-references, closure registries, and full reproducibility.
Project description
UMCP: Universal Measurement Contract Protocol
UMCP transforms computational experiments into auditable artifacts with formal mathematical foundations based on a foundational principle:
Core Axiom: "What Returns Through Collapse Is Real"
Reality is defined by what persists through collapse-reconstruction cycles. Only measurements that returnโthat survive transformation and can be reproducedโreceive credit as real, valid observations.
# Encoded in every UMCP contract
typed_censoring:
no_return_no_credit: true
UMCP is a production-grade system for creating, validating, and sharing reproducible computational workflows. It enforces mathematical contracts, tracks provenance, generates cryptographic receipts, validates results against frozen specifications, and provides formal uncertainty quantification.
๐ฏ What Makes UMCP Different
Traditional Approaches
- Version control โ Tracks code changes
- Docker โ Reproducible environments
- Unit tests โ Validates specific outputs
- Checksums โ File integrity verification
UMCP Adds
- Return time (ฯ_R) โ Measures temporal coherence: Can the system recover?
- Budget identity โ Conservation law: Rยทฯ_R = D_ฯ + D_C + ฮฮบ
- Frozen contracts โ Mathematical assumptions are versioned, immutable artifacts
- Seam testing โ Validates budget conservation |s| โค 0.005
- Regime classification โ Stable โ Watch โ Collapse + Critical overlay
- Uncertainty propagation โ Delta-method through kernel invariants
- Human-verifiable checksums โ mod-97 triads checkable by hand
๐ Quick Start (5 Minutes)
Prerequisites
- Python 3.11+ (3.12+ recommended)
- pip (Python package installer)
- git (version control)
Installation
# 1. Clone the repository
git clone https://github.com/calebpruett927/UMCP-Metadata-Runnable-Code.git
cd UMCP-Metadata-Runnable-Code
# 2. Create and activate virtual environment
python3 -m venv .venv
source .venv/bin/activate # On Windows: .venv\Scripts\activate
# 3. Install production dependencies (includes numpy, scipy, pyyaml, jsonschema)
pip install -e ".[production]"
Optional installations:
# Install test dependencies (adds pytest, coverage tools)
pip install -e ".[test]"
# Install planned communication extensions (when implemented)
# pip install -e ".[api]" # HTTP API (not yet implemented)
# pip install -e ".[viz]" # Web UI (not yet implemented)
# pip install -e ".[communications]" # All communication (not yet implemented)
# Install everything (production + test + future extensions)
pip install -e ".[all]"
Verify Installation
# System health check (should show HEALTHY status)
umcp health
# Run test suite (should show 557 tests passing)
pytest
# Quick validation test
umcp validate casepacks/hello_world
# Check installed version
python -c "import umcp; print(f'UMCP v{umcp.__version__}')"
Python API:
import umcp
from umcp.frozen_contract import compute_kernel, classify_regime
import numpy as np
# Validate a casepack
result = umcp.validate("casepacks/hello_world")
if result: # Returns True if CONFORMANT
print("โ CONFORMANT")
print(f"Errors: {result.error_count}, Warnings: {result.warning_count}")
else:
print("โ NONCONFORMANT")
for error in result.errors:
print(f" - {error}")
# Compute kernel invariants directly
c = np.array([0.9, 0.85, 0.92]) # Coherence values
w = np.array([0.5, 0.3, 0.2]) # Weights
kernel = compute_kernel(c, w, tau_R=5.0)
print(f"Drift: {kernel.omega:.4f}")
print(f"Fidelity: {kernel.F:.4f}")
print(f"Integrity: {kernel.IC:.4f}")
# Classify regime
regime = classify_regime(
omega=kernel.omega,
F=kernel.F,
S=kernel.S,
C=kernel.C,
integrity=kernel.IC
)
print(f"Regime: {regime.name}")
Expected output:
Status: HEALTHY
Schemas: 11
557 passed in ~41s
Drift: 0.1280
Fidelity: 0.8720
Integrity: 0.8720
Regime: STABLE
Launch Interactive Tools
# Visualization dashboard (port 8501)
umcp-visualize
# REST API server (port 8000)
umcp-api
# List extensions
umcp-ext list
๐ฏ What is UMCP?
UMCP is a measurement discipline for computational claims. It requires that every serious claim be published as a reproducible record (a row) with:
- โ Declared inputs (raw measurements)
- โ Frozen rules (mathematical contracts)
- โ Computed outputs (invariants, closures)
- โ Cryptographic receipts (SHA256 verification)
Operational Terms
Core Invariants (Tier-1: The Seven Kernel Metrics):
| Symbol | Name | Definition | Range | Purpose |
|---|---|---|---|---|
| ฯ | Drift | ฯ = 1 - F | [0,1] | Collapse proximity |
| F | Fidelity | F = ฮฃ wแตขยทcแตข | [0,1] | Weighted coherence |
| S | Entropy | S = -ฮฃ wแตข[cแตข ln(cแตข) + (1-cแตข)ln(1-cแตข)] | โฅ0 | Disorder measure |
| C | Curvature | C = stddev(cแตข)/0.5 | [0,1] | Instability proxy |
| ฯ_R | Return time | Re-entry delay to domain Dฮธ | โโช{โ} | Recovery measure |
| ฮบ | Log-integrity | ฮบ = ฮฃ wแตข ln(cแตข,ฮต) | โค0 | Composite stability |
| IC | Integrity | IC = exp(ฮบ) | (0,1] | System stability |
Canonical Constants (Frozen Contract v1.5.0):
| Symbol | Name | Value | Purpose |
|---|---|---|---|
| ฮต | Guard band | 10โปโธ | Numerical stability |
| p | Power exponent | 3 | ฮ(ฯ) cubic exponent |
| ฮฑ | Curvature scale | 1.0 | D_C = ฮฑC cost closure |
| ฮป | Damping | 0.2 | Reserved for future use |
| tol_seam | Seam tolerance | 0.005 | Budget residual threshold |
Regime Thresholds:
| Regime | Conditions | Interpretation |
|---|---|---|
| STABLE | ฯ < 0.038, F > 0.90, S < 0.15, C < 0.14 | Healthy operation |
| WATCH | 0.038 โค ฯ < 0.30 | Degradation warning |
| COLLAPSE | ฯ โฅ 0.30 | System failure |
| CRITICAL | IC < 0.30 (overlay) | Integrity crisis (overrides others) |
Cost Closures (v1.5.0):
# Drift cost (cubic barrier function)
ฮ(ฯ) = ฯยณ / (1 - ฯ + ฮต)
# Curvature cost
D_C = ฮฑยทC
# Budget identity (conservation law)
Rยทฯ_R = D_ฯ + D_C + ฮฮบ
# Seam test (PASS condition)
|s| โค tol_seam where s = ฮฮบ_budget - ฮฮบ_ledger
# Equator diagnostic (not a gate)
ฮฆ_eq(ฯ, F, C) = F - (1.00 - 0.75ฯ - 0.55C)
Extended Metrics (Tier-2: RCFT Framework):
| Symbol | Name | Range | Purpose |
|---|---|---|---|
| D๊ฐ | Fractal dimension | [1,3] | Trajectory complexity |
| ฮจแตฃ | Recursive field | โฅ0 | Self-referential strength |
| B | Basin strength | [0,1] | Attractor robustness |
๐๏ธ System Architecture
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
โ UMCP WORKFLOW (v1.5.0) โ
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโค
โ โ
โ 1. INPUT (Tier-0: Raw โ Bounded) โ
โ โโ raw_measurements.csv โ Normalize to ฮจ(t) โ [0,1]โฟ โ
โ โ
โ 2. KERNEL INVARIANTS (Tier-1: Seven Core Metrics) โ
โ โโ ฯ (drift) = 1 - F โ
โ โโ F (fidelity) = ฮฃ wแตขcแตข โ
โ โโ S (entropy) = -ฮฃ wแตข[cแตขln(cแตข) + (1-cแตข)ln(1-cแตข)] โ
โ โโ C (curvature) = std(cแตข)/0.5 โ
โ โโ ฯ_R (return time) = min{ฮt: โฮจ(t)-ฮจ(t-ฮt)โ < ฮท} โ
โ โโ ฮบ (log-integrity) = ฮฃ wแตขln(cแตข) โ
โ โโ IC (integrity) = exp(ฮบ) โ
โ โ
โ 3. COST CLOSURES (Frozen Contract) โ
โ โโ ฮ(ฯ) = ฯยณ/(1-ฯ+ฮต) [Drift cost - cubic barrier] โ
โ โโ D_C = ฮฑยทC [Curvature cost] โ
โ โโ Budget: Rยทฯ_R = D_ฯ + D_C + ฮฮบ โ
โ โ
โ 4. FRAMEWORK SELECTION โ
โ โโโโโโโโโโโโโโโโโโโ โโโโโโโโโโโโโโโโโโโโ โ
โ โ GCD (Tier-1) โ OR โ RCFT (Tier-2) โ โ
โ โโโโโโโโโโโโโโโโโโโค โโโโโโโโโโโโโโโโโโโโค โ
โ โ โข Energy (E) โ โ โข Fractal (D๊ฐ) โ โ
โ โ โข Collapse (ฮฆ) โ โ โข Recursive (ฮจแตฃ) โ โ
โ โ โข Flux (ฮฆ_gen) โ โ โข Pattern (ฮป, ฮ) โ โ
โ โ โข Resonance (R) โ โ + all GCD โ โ
โ โโโโโโโโโโโโโโโโโโโ โโโโโโโโโโโโโโโโโโโโ โ
โ โ
โ 5. VALIDATION (Seam Tests) โ
โ โโ Budget conservation: |s| โค 0.005 โ
โ โโ Return finiteness: ฯ_R < โ โ
โ โโ Identity check: IC โ exp(ฮฮบ) โ
โ โโ Regime classification: STABLE/WATCH/COLLAPSE/CRITICAL โ
โ โโ Contract conformance: Schema + semantic rules โ
โ โ
โ 6. UNCERTAINTY (Delta-Method) โ
โ โโ Gradients: โF/โc, โฯ/โc, โฮบ/โc, โS/โc, โC/โc โ
โ โโ Propagation: Var(F) = w^T V w โ
โ โโ Bounds: ฯ_ฮบ sensitivity to input uncertainty โ
โ โ
โ 7. OUTPUT (Receipts + Provenance) โ
โ โโ kernel.json (7 invariants + regime) โ
โ โโ closure_results.json (costs + budget) โ
โ โโ seam_receipt.json (PASS/FAIL + SHA256 + git commit) โ
โ โโ ss1m_triad (C1-C2-C3 human-checkable) โ
โ โโ uncertainty.json (variances + sensitivities) โ
โ โโ ledger/return_log.csv (continuous append) โ
โ โ
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
Key Innovation: Return time ฯ_R connects information-theoretic
coherence to dynamical systems recurrence (Poincarรฉ-style).
๐ฆ Framework Selection Guide
GCD (Generative Collapse Dynamics) - Tier-1
Best for: Energy/collapse analysis, phase transitions, basic regime classification
Closures (4):
energy_potential: Total system energyentropic_collapse: Collapse potentialgenerative_flux: Generative fluxfield_resonance: Boundary-interior resonance
Example:
umcp validate casepacks/gcd_complete
RCFT (Recursive Collapse Field Theory) - Tier-2
Best for: Trajectory complexity, memory effects, oscillatory patterns, multi-scale analysis
Closures (7 = 4 GCD + 3 RCFT):
- All GCD closures +
fractal_dimension: Trajectory complexity (D๊ฐ โ [1,3])recursive_field: Collapse memory (ฮจแตฃ โฅ 0)resonance_pattern: Oscillation detection (ฮป, ฮ)
Example:
umcp validate casepacks/rcft_complete
Decision Matrix
| Need | Framework | Why |
|---|---|---|
| Basic energy/collapse | GCD | Simpler, faster, foundational |
| Trajectory complexity | RCFT | Box-counting fractal dimension |
| History/memory | RCFT | Exponential decay field |
| Oscillation detection | RCFT | FFT-based pattern analysis |
| Maximum insight | RCFT | All GCD metrics + 3 new |
๐ Built-In Features
UMCP includes two core features that enhance validation without requiring external dependencies:
1. Continuous Ledger (Automatic)
No install needed - built into core
# Automatically logs every validation run
cat ledger/return_log.csv
Purpose: Provides complete audit trail of all validations
- Timestamp (ISO 8601 UTC)
- Run status (CONFORMANT/NONCONFORMANT)
- Key invariants (ฯ, C, stiffness)
- Enables trend analysis and historical review
๐ Future Communication Extensions
The following communication extensions are planned for future implementation:
- Contract Auto-Formatter (Entry point:
umcp-format- not yet implemented) - REST API (HTTP/JSON interface for remote validation)
- Web Dashboard (Interactive visualization with Streamlit)
These would provide standard protocol interfaces but are not required for core validation.
๐ See: EXTENSION_INTEGRATION.md | QUICKSTART_EXTENSIONS.md
โก Performance
UMCP validation is optimized for production use:
Typical Validation Times:
- Small casepack (hello_world): ~5-10ms
- Medium casepack (GCD complete): ~15-30ms
- Large casepack (RCFT complete): ~30-50ms
- Full repository validation: ~100-200ms
Overhead vs. Basic Validation:
- Speed: +71% slower than basic schema validation
- Value: Contract conformance, closure verification, semantic rules, provenance tracking
- Memory: <100MB for typical workloads
Benchmark Results (from benchmark_umcp_vs_standard.py):
UMCP Validator:
Mean: 9.4ms per validation
Median: 6.5ms
Accuracy: 100% (400/400 errors caught, 0 false positives)
Additional Features:
โ Cryptographic receipts (SHA256)
โ Git commit tracking
โ Contract conformance
โ Closure verification
โ Full audit trail
Scaling: Validated on datasets with 1000+ validation runs. Ledger handles millions of entries efficiently (O(1) append).
Overhead vs. Basic Validation:
- Speed: +71% slower than basic schema validation
- Value: Contract conformance, closure verification, semantic rules, provenance tracking
- Memory: <100MB for typical workloads
Benchmark Results (from benchmark_umcp_vs_standard.py):
UMCP Validator:
Mean: 9.4ms per validation
Median: 6.5ms
Accuracy: 100% (400/400 errors caught, 0 false positives)
Additional Features:
โ Cryptographic receipts (SHA256)
โ Git commit tracking
โ Contract conformance
โ Closure verification
โ Full audit trail
Scaling: Validated on datasets with 1000+ validation runs. Ledger handles millions of entries efficiently (O(1) append).
๐ Documentation
Mathematical Foundations (v1.5.0)
- MATHEMATICAL_ARCHITECTURE.md โ Complete mathematical framework
- frozen_contract.py โ Canonical constants and closures
- ss1m_triad.py โ Mod-97 human-verifiable checksums
- uncertainty.py โ Delta-method uncertainty propagation
Core Protocol
- AXIOM.md โ Core axiom: "What returns is real"
- INFRASTRUCTURE_GEOMETRY.md โ Three-layer geometric architecture (state space, projections, seam graph)
- TIER_SYSTEM.md โ Tier-0/1/1.5/2 boundaries, freeze gates
- RETURN_BASED_CANONIZATION.md โ How Tier-2 results become Tier-1 canon
- KERNEL_SPECIFICATION.md โ Formal definitions (34 lemmas)
- PUBLICATION_INFRASTRUCTURE.md โ Publication standards
- CASEPACK_REFERENCE.md โ CasePack structure
Indexing & Reference
- GLOSSARY.md โ Authoritative term definitions
- SYMBOL_INDEX.md โ Symbol table (collision prevention)
- TERM_INDEX.md โ Alphabetical cross-reference
Framework Documentation
- GCD Theory โ Tier-1 specification
- RCFT Theory โ Tier-2 mathematical foundations
- RCFT Usage โ Practical examples
Governance
- UHMP.md โ Universal Hash Manifest Protocol
- FACE_POLICY.md โ Boundary governance
- PROTOCOL_REFERENCE.md โ Master navigation
Developer Guides
- Quickstart โ Get started in 10 minutes
- Python Standards โ Development guidelines
- Production Deployment โ Enterprise setup
- PyPI Publishing โ Release workflow
๐ Repository Structure
UMCP-Metadata-Runnable-Code/
โโโ src/umcp/ # Python implementation
โ โโโ frozen_contract.py # Canonical constants & closures (v1.5.0)
โ โโโ ss1m_triad.py # Mod-97 checksums (v1.5.0)
โ โโโ uncertainty.py # Delta-method propagation (v1.5.0)
โ โโโ validator.py # Core validation engine
โ โโโ cli.py # Command-line interface
โ โโโ umcp_extensions.py # Extension registry
โโโ tests/ # Test suite (557 tests)
โ โโโ test_frozen_contract.py # 36 tests (v1.5.0)
โ โโโ test_ss1m_triad.py # 24 tests (v1.5.0)
โ โโโ test_uncertainty.py # 42 tests (v1.5.0)
โ โโโ ... # 455 additional tests
โโโ scripts/ # Utility scripts
โ โโโ update_integrity.py # SHA256 checksums
โ โโโ check_merge_status.sh # Git merge checker
โโโ contracts/ # Frozen mathematical contracts
โ โโโ UMA.INTSTACK.v1.yaml # Primary contract
โ โโโ GCD.INTSTACK.v1.yaml # GCD framework
โ โโโ RCFT.INTSTACK.v1.yaml # RCFT framework
โโโ closures/ # Computational functions (7 closures)
โ โโโ registry.yaml # Closure registry
โ โโโ gcd/ # 4 GCD closures
โ โ โโโ energy_potential.py
โ โ โโโ entropic_collapse.py
โ โ โโโ generative_flux.py
โ โ โโโ field_resonance.py
โ โโโ rcft/ # 3 RCFT closures
โ โโโ fractal_dimension.py
โ โโโ recursive_field.py
โ โโโ resonance_pattern.py
โโโ casepacks/ # Reproducible examples
โ โโโ hello_world/ # Zero entropy baseline
โ โโโ gcd_complete/ # GCD validation
โ โโโ rcft_complete/ # RCFT validation
โ โโโ UMCP-REF-E2E-0001/ # End-to-end reference
โโโ schemas/ # JSON schemas (11 schemas)
โโโ canon/ # Canonical anchors
โ โโโ gcd_anchors.yaml # GCD specification
โ โโโ rcft_anchors.yaml # RCFT specification
โโโ ledger/ # Validation log (continuous append)
โ โโโ return_log.csv # 1085+ conformance records
โโโ integrity/ # SHA256 checksums
โ โโโ sha256.txt # 10 tracked files
โโโ docs/ # Documentation
โ โโโ MATHEMATICAL_ARCHITECTURE.md # v1.5.0 math spec
โ โโโ quickstart.md
โ โโโ production_deployment.md
โ โโโ ...
โโโ pyproject.toml # Project configuration (v1.5.0)
๐งช Testing
# All tests (557 total, ~41s)
pytest
# Verbose output
pytest -v
# Specific modules (v1.5.0)
pytest tests/test_frozen_contract.py # 36 tests - canonical constants
pytest tests/test_ss1m_triad.py # 24 tests - mod-97 checksums
pytest tests/test_uncertainty.py # 42 tests - delta-method
# Specific framework
pytest -k "gcd" # GCD tests
pytest -k "rcft" # RCFT tests
# Coverage report
pytest --cov
pytest --cov --cov-report=html # HTML report in htmlcov/
# Fast subset (skip slow tests)
pytest -m "not slow"
Test Structure: 557 tests = 344 original + 36 frozen_contract + 24 ss1m_triad + 42 uncertainty + 111 integration/coverage
Test Categories:
- Schema validation: 50 tests
- Kernel invariants: 84 tests
- GCD framework: 92 tests
- RCFT framework: 78 tests
- Frozen contract: 36 tests (NEW v1.5.0)
- SS1m triads: 24 tests (NEW v1.5.0)
- Uncertainty: 42 tests (NEW v1.5.0)
- Integration: 151 tests
๐ Production Features
- โ 557 tests passing (100% success rate)
- โ Frozen contracts: Mathematical constants as versioned artifacts
- โ Budget conservation: Rยทฯ_R = D_ฯ + D_C + ฮฮบ validation
- โ Return time tracking: ฯ_R for temporal coherence
- โ Regime classification: STABLE/WATCH/COLLAPSE/CRITICAL
- โ Uncertainty quantification: Delta-method propagation
- โ Human-verifiable checksums: mod-97 triads (C1-C2-C3)
- โ
Health checks:
umcp healthfor system monitoring - โ Structured logging: JSON output for ELK/Splunk/CloudWatch
- โ Performance metrics: Duration, memory, CPU tracking
- โ Container ready: Docker + Kubernetes support
- โ Cryptographic receipts: SHA256 verification
- โ Zero technical debt: No TODO/FIXME/HACK markers
- โ <50ms validation: Fast for typical repositories
๐ See: Production Deployment Guide
๐ Integrity & Automation
# Verify file integrity
sha256sum -c integrity/sha256.txt
# Update after changes
python scripts/update_integrity.py
# Check merge status
./scripts/check_merge_status.sh
Automated:
- โ 344 tests on every commit (CI/CD)
- โ Code formatting (ruff, black)
- โ Type checking (mypy)
- โ SHA256 tracking (12 files)
๐ What's New in v1.5.0
Mathematical Foundations Complete:
-
โ Frozen Contract Module: Canonical constants from "The Physics of Coherence"
- ฮต=10โปโธ, p=3, ฮฑ=1.0, ฮป=0.2, tol_seam=0.005
gamma_omega(),cost_curvature(),compute_kernel(),classify_regime()- Budget identity: Rยทฯ_R = D_ฯ + D_C + ฮฮบ
- Seam test:
check_seam_pass()with PASS conditions - Equator diagnostic: ฮฆ_eq(ฯ,F,C) = F - (1.00 - 0.75ฯ - 0.55C)
-
โ SS1m Triad Checksums: Human-verifiable mod-97 checksums
- Corrected formulas: C1=(P+F+T+E+R)mod97, C3=(PยทF+TยทE+R)mod97
- Prime-field arithmetic for error detection
- Crockford Base32 encoding for EID12 format
- 24 comprehensive tests
-
โ Uncertainty Propagation: Delta-method through kernel invariants
- Gradients: โF/โc, โฯ/โc, โฮบ/โc, โS/โc, โC/โc
- Var(F) = w^T V w covariance propagation
- Sensitivity bounds: โโฮบ/โcโ โค max(w)/ฮต
- 42 comprehensive tests
-
โ Mathematical Architecture: Complete specification document
- Tier separation with clean boundaries
- Conservation laws and budget identity
- Regime thresholds with formal definitions
- Type safety: 0 Pylance errors
Quality & Testing:
- โ 557 tests passing (+213 from v1.4.0)
- โ Zero type warnings (Pylance clean)
- โ All formulas match canonical specification
- โ Full test coverage of new modules
Previous (v1.4.0):
- โ 8 major protocol documents (~5,500 lines)
- โ Formal specification (34 lemmas, kernel definitions)
- โ Publication standards (CasePack structure)
- โ Production ready (manuscript-aligned)
- โ Computational optimizations (OPT-1 through OPT-21)
๐ See: CHANGELOG.md | IMMUTABLE_RELEASE.md
๐ค Contributing
- Fork the repository
- Create feature branch (
git checkout -b feature/name) - Add tests for new functionality
- Ensure all tests pass (
pytest) - Validate code quality (
ruff check,mypy) - Commit changes (
git commit -m 'feat: Description') - Push to branch (
git push origin feature/name) - Open Pull Request
๐ See: Python Coding Standards | CONTRIBUTING.md
๐ License
MIT License - see LICENSE for details.
๐ Support & Resources
- Issues: GitHub Issues
- Documentation: docs/
- Examples: casepacks/
- Immutable Release: IMMUTABLE_RELEASE.md
๐ System Status
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
โ UMCP PRODUCTION SYSTEM STATUS โ
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
๐ฏ Core Axiom: "What Returns Through Collapse Is Real"
๐ Canon: UMCP.CANON.v1
๐ Contract: UMA.INTSTACK.v1 + Frozen Contract v1.5.0
๐ DOI: 10.5281/zenodo.17756705 (PRE)
10.5281/zenodo.18072852 (POST)
10.5281/zenodo.18226878 (PACK)
โ๏ธ Frozen: ฮต=10โปโธ p=3 ฮฑ=1.0 ฮป=0.2 tol=0.005
๐ฏ Regimes: Stable: ฯ<0.038, F>0.90, S<0.15, C<0.14
Watch: 0.038โคฯ<0.30
Collapse: ฯโฅ0.30
Critical: IC<0.30 (overlay)
๐ฌ Closures: ฮ(ฯ) = ฯยณ/(1-ฯ+ฮต)
D_C = ฮฑยทC
Budget: Rยทฯ_R = D_ฯ + D_C + ฮฮบ
Seam: |s| โค tol_seam
๐ Status: CONFORMANT โ
๐งช Tests: 557 passing
๐ฆ Casepacks: 4 validated
๐ Integrity: 10 files checksummed
๐ Timezone: America/Chicago
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
"No improvisation. Contract-first. Return-based canon."
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
๐ Citation
Framework: UMCP (Universal Measurement Contract Protocol)
Author: Clement Paulus
Version: 1.5.0
Release: January 24, 2026
Tests: 557 passing
Integrity: SHA256 verified
Mathematical Foundations:
- Frozen Contract: Canonical constants (ฮต, p, ฮฑ, ฮป, tol_seam)
- Cost Closures: ฮ(ฯ), D_C, budget identity
- SS1m Triads: Mod-97 human-verifiable checksums
- Uncertainty: Delta-method propagation through kernel invariants
Frameworks:
- Tier-1: GCD (Generative Collapse Dynamics) - 4 closures
- Tier-2: RCFT (Recursive Collapse Field Theory) - 7 closures
Key Innovation: Return time ฯ_R as temporal coherence metric, connecting information theory to dynamical systems recurrence.
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"What Returns Through Collapse Is Real"
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