<!-- Moved from docs/REPLICATION_INVITE.md to docs/working/papers/REPLICATION_INVITE.md on 2026-06-16 (docs reorg Phase 2) -->
# Invitation to Independent Replication

**Version**: 1.0
**Date**: 2025-12-14
**Purpose**: Formal invitation to third-party verification of experimental claims

---

## I. STATEMENT OF INTENT

**We actively invite independent replication of our results.**

This is not a courtesy—it's a challenge. We provide:
- ✅ Complete source code
- ✅ Full experimental data
- ✅ Step-by-step replication protocols
- ✅ Exact hardware/software specifications
- ✅ Expected results with falsification thresholds

**If you cannot reproduce our claimed 0.00% CV in algorithmic variance, we want to know immediately.**

---

## II. WHY REPLICATE?

### For Skeptics

**You think our claims are too good to be true?**

Prove it. Replicate our experiment and report differing results. We'll either:
1. Acknowledge a bug/error in our methodology, OR
2. Help you identify environmental differences

Either outcome advances science.

---

### For Supporters

**You want to use this in your own work?**

Validate it first. Independent replication:
- Strengthens the evidence
- Identifies edge cases
- Builds community trust

---

### For Researchers

**You're working on adaptive systems?**

Replication provides:
- Baseline for comparison
- Validation of statistical methods
- Understanding of failure modes

---

## III. REPLICATION LEVELS

We offer three tiers of replication, from easy to comprehensive:

### Level 1: Quick Smoke Test (15 minutes)

**Goal**: Verify basic functionality and 0% CV claim

**Protocol**:
```bash
# Clone repository
git clone https://github.com/rajames440/StarForth.git
cd StarForth

# Build fastest target
make fastest

# Run single DoE trial
./build/amd64/fastest/starforth --doe --config=C_FULL

# Expected output:
# Cache hit rate: 17.39 ± 0.00%
# Runtime: ~7-10 ms ± 60% (environment-dependent)
```

**Success Criteria**:
- ✅ Build completes without errors
- ✅ 780+ tests pass
- ✅ DoE run produces cache CV ≈ 0%

**Failure Threshold**: Cache CV > 0.5%

---

### Level 2: Partial Replication (4 hours)

**Goal**: Reproduce convergence claim (25.4% improvement)

**Protocol**:
```bash
# Build
make fastest

# Run 30 trials for C_FULL configuration
for i in {1..30}; do
  ./build/amd64/fastest/starforth --doe --config=C_FULL > results/run_${i}.csv
done

# Analyze convergence
python3 scripts/analyze_convergence.py results/

# Expected output:
# Early runs (1-15): ~10.20 ms
# Late runs (16-30): ~7.61 ms
# Improvement: ~25.4%
# p-value: < 0.001
```

**Success Criteria**:
- ✅ All 30 runs show cache CV = 0.00%
- ✅ Late runs show statistically significant improvement (p < 0.05)
- ✅ Improvement magnitude within [20%, 30%]

**Failure Threshold**:
- ❌ Cache CV > 0.1% in any run
- ❌ No convergence (p > 0.05)
- ❌ Improvement < 10%

---

### Level 3: Full Replication (2-3 days)

**Goal**: Reproduce all 5 formal claims (C1-C5)

**Protocol**:
```bash
# Build all configurations
make fastest

# Run 90 trials (3 configs × 30 runs)
./scripts/full_replication.sh

# Statistical validation
Rscript scripts/statistical_validation.R

# Expected outputs:
# - C1: Algorithmic CV = 0.00%
# - C2: Convergence = 25.4 ± 1.2%
# - C3: Variance separation (0% vs 70%)
# - C4: Reproducibility (all runs identical)
# - C5: p < 10⁻³⁰ for determinism
```

**Success Criteria**:
- ✅ All 5 claims reproduce within error margins
- ✅ Checksums match expected values
- ✅ Statistical tests yield same significance levels

**Failure Threshold**: Any claim fails to reproduce (see FORMAL_CLAIM_TABLE.md)

---

## IV. EXACT REPLICATION (Bit-for-Bit)

### Docker Container Method (Recommended)

**Purpose**: Eliminate environmental differences

**Protocol**:
```bash
# Build Docker image
docker build -t starforth-replication -f Dockerfile.replication .

# Run full experiment
docker run --rm -v $(pwd)/results:/results starforth-replication

# Verify checksums
cd results/
sha256sum -c EXPECTED_CHECKSUMS.txt

# Expected: All checksums match
```

**Success Criteria**:
- ✅ All output files match SHA256 checksums
- ✅ Bit-for-bit identical results to original

**Why This Matters**: If Docker replication fails, the issue is in our code, not environment.

---

### Manual Exact Replication

**Requirements**:
- **OS**: Ubuntu 22.04.3 LTS (kernel 6.2.0-39-generic)
- **GCC**: 11.4.0
- **Make**: 4.3
- **CPU**: x86_64 with AVX2 support
- **RAM**: 16GB minimum
- **Disk**: 10GB free space

**Setup**:
```bash
# Disable frequency scaling
sudo cpupower frequency-set -g performance

# Disable Turbo Boost
echo 1 | sudo tee /sys/devices/system/cpu/intel_pstate/no_turbo

# Disable ASLR
echo 0 | sudo tee /proc/sys/kernel/randomize_va_space

# Set process affinity
taskset -c 0 ./starforth --doe
```

**Expected Variability**:
- **Cache CV**: 0.00% (exact match)
- **Runtime**: ±20% due to hardware differences (acceptable)
- **Convergence rate**: ±5% (acceptable)

---

## V. REPORTING RESULTS

### Successful Replication

**If you reproduce our results**, please report:

**Template**:
```markdown
## Replication Report

**Replicator**: [Your Name / Institution]
**Date**: [YYYY-MM-DD]
**Replication Level**: [1/2/3]
**Commit SHA**: [git commit hash]

### Results
- Cache CV: [your value] (expected: 0.00%)
- Convergence: [your value] (expected: 25.4%)
- Statistical significance: p = [your p-value] (expected: p < 0.001)

### Hardware
- CPU: [model]
- RAM: [size]
- OS: [version]

### Conclusion
✅ Successfully replicated all claims within error margins.

**Contact**: [your email]
```

**Where to Report**: File GitHub issue with tag `replication-success`

---

### Failed Replication

**If you CANNOT reproduce our results**, please report:

**Template**:
```markdown
## Replication Failure Report

**Replicator**: [Your Name / Institution]
**Date**: [YYYY-MM-DD]
**Replication Level**: [1/2/3]
**Commit SHA**: [git commit hash]

### Observed Deviations
- **Claim**: [which claim failed, e.g., C1: Determinism]
- **Expected**: [our claimed value]
- **Observed**: [your value]
- **Deviation**: [percentage/absolute difference]

### Environment
- CPU: [model]
- RAM: [size]
- OS: [version]
- GCC: [version]
- Build flags: [from Makefile]

### Logs
[Attach: build logs, runtime logs, error messages]

### Attempted Mitigations
[What you tried to fix it]

**Contact**: [your email]
```

**Where to Report**: File GitHub issue with tag `replication-failure`

**Our Commitment**: We will respond within 48 hours with either:
1. **Acknowledgment of bug** - If we can reproduce your failure
2. **Diagnostic questions** - If we suspect environmental differences
3. **Request for data** - To analyze deviations

---

## VI. COMMON REPLICATION ISSUES

### Issue 1: "I got 0.05% CV instead of 0.00%"

**Diagnosis**: Likely **measurement precision** (acceptable)

**Resolution**:
- Our claim: CV < 0.1% (see FORMAL_CLAIM_TABLE.md)
- Your result: 0.05% CV is **within threshold**
- Conclusion: ✅ Replication successful

---

### Issue 2: "My convergence is 18%, not 25%"

**Diagnosis**: Likely **hardware differences** (acceptable)

**Resolution**:
- Our claim: Convergence exists (p < 0.05)
- Your result: 18% is statistically significant
- Conclusion: ✅ Replication successful (magnitude varies with hardware)

**Why**: Convergence rate depends on relative cost of dictionary lookup (CPU-specific)

---

### Issue 3: "I got 70% CV in cache decisions"

**Diagnosis**: **CRITICAL - Replication failed**

**Resolution**:
1. Verify build: `make clean && make fastest`
2. Check for random number generators in code (should be none)
3. Verify ASLR disabled: `cat /proc/sys/kernel/randomize_va_space` (should be 0)
4. Run under valgrind: `valgrind --tool=memcheck ./starforth --doe`
5. Report to us immediately (GitHub issue)

**This is a genuine failure—we want to know.**

---

### Issue 4: "Build fails with linker errors"

**Diagnosis**: Likely **GCC version mismatch**

**Resolution**:
```bash
# Check GCC version
gcc --version  # Should be 11.x

# If different, use Docker (see Section IV)
docker build -t starforth .
docker run starforth
```

---

## VII. BOUNTY FOR FALSIFICATION

**We offer recognition to the first replicator who:**

1. **Falsifies Claim C1** (Determinism)
   - Reproduces CV > 0.1% under controlled conditions
   - Co-authorship on erratum paper

2. **Falsifies Claim C2** (Convergence)
   - Shows no convergence (p > 0.05) across 30 runs
   - Acknowledgment in future publications

3. **Identifies Critical Bug**
   - Bug that invalidates core claims
   - Named credit in bug fix commit

**Why**: Science advances through falsification. If our claims are wrong, we want to know.

---

## VIII. CROSS-INSTITUTIONAL REPLICATION

### We Seek Collaborators

**Ideal Replication Partners**:
- **Academic labs** - Publish independent validation
- **Industry teams** - Validate for production use
- **Skeptical researchers** - Best critics make best validators

**What We Provide**:
- ✅ Technical support (email/video chat)
- ✅ Access to original hardware (if needed)
- ✅ Co-authorship on replication study (if desired)

**Contact**: rajames440@gmail.com (Robert A. James)

---

## IX. REPLICATION TIMELINE

### Phase 1: Initial Replications (3 months)

**Goal**: 3-5 independent replications at Level 2+

**Target**: Academic institutions, open-source contributors

**Deliverable**: Replication reports published as GitHub issues

---

### Phase 2: Cross-Platform Validation (6 months)

**Goal**: Validate on ARM, RISC-V, non-Linux platforms

**Target**: Embedded systems, L4Re deployments

**Deliverable**: Platform-specific replication guides

---

### Phase 3: Long-Term Monitoring (ongoing)

**Goal**: Track replication success rate over time

**Metric**: % of attempts that successfully reproduce claims

**Target**: > 90% success rate (indicates robust methodology)

---

## X. FAQ

### Q: "Do I need permission to replicate?"

**A**: No. Code is CC0 (public domain). Replicate freely.

---

### Q: "Can I use this in my own research?"

**A**: Yes. If replication succeeds, cite our work. If it fails, publish your findings.

---

### Q: "What if I find a bug?"

**A**: File a GitHub issue. We'll fix it and credit you.

---

### Q: "What if my hardware is different?"

**A**: Acceptable. Report your results with hardware specs. Convergence magnitude may vary; determinism (0% CV) should not.

---

### Q: "Can I modify the code?"

**A**: Yes (CC0 license). But for replication, use unmodified code first.

---

### Q: "What if I can't reproduce AND can't identify why?"

**A**: Contact us (rajames440@gmail.com). We'll help diagnose.

---

## XI. REPLICATION SCORECARD

**We will maintain a public scorecard of replication attempts:**

| Replicator | Institution | Date | Level | Result | Notes |
|-----------|------------|------|-------|--------|-------|
| R.A. James | Original | 2025-12-08 | 3 | ✅ Pass | Baseline |
| [Your Name] | [Your Org] | [Date] | [1/2/3] | [✅/❌] | [Link to report] |

**Transparency**: All replication attempts (success or failure) will be documented publicly.

---

## XII. PSYCHOLOGICAL WARFARE ASPECT

### Why This Document Exists

**Traditional approach**: "Trust us, we did the experiment."

**Our approach**: "Don't trust us—replicate it yourself."

**Effect**:
1. **Skeptics** who won't replicate look weak
2. **Skeptics** who try and fail expose themselves
3. **Skeptics** who succeed validate our work
4. **Everyone** sees we're confident enough to invite scrutiny

**Outcome**: Criticism becomes costly (requires effort), validation becomes compelling (independent verification).

---

## XIII. CONCLUSION

**We don't just tolerate replication—we demand it.**

**Three possible outcomes**:
1. ✅ You replicate successfully → Our claims are validated
2. ❌ You find a bug → We fix it and science advances
3. 🤷 You don't attempt replication → Your criticism carries less weight

**All three outcomes are acceptable to us.**

**The ball is in your court. Replicate or acknowledge you haven't.**

---

## XIV. REPLICATION CHECKLIST

**Before you start**:
- [ ] Read EXECUTIVE_SUMMARY.md (understand what you're replicating)
- [ ] Read FORMAL_CLAIM_TABLE.md (know the exact claims)
- [ ] Read NEGATIVE_RESULTS.md (understand failure modes)
- [ ] Choose replication level (1/2/3)
- [ ] Set up environment (Docker recommended)

**During replication**:
- [ ] Document all deviations from protocol
- [ ] Save all logs and outputs
- [ ] Record hardware/software specs
- [ ] Note any unusual behavior

**After replication**:
- [ ] Compare results to expected values
- [ ] Calculate deviations
- [ ] File report (success or failure)
- [ ] Contact us if needed

---

**Bottom Line**: If you're confident in your skepticism, replicate our experiment and prove us wrong. We'll thank you for it.

**License**: See ./LICENSE