Research-Stack/6-Documentation/docs/distilled/Prioritization_BlowupPotential_2026-05-11.md
2026-05-11 22:18:31 -05:00

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Prioritization — Given Blowup Potential from Minimal Tests

Date: 2026-05-11 Query: What to prioritize given detector fires correctly on primes with zero calibration Source: deepseek-v4-pro:cloud


Week Action
12 Mathematical blowup characterization: systematic test suite, map firing boundaries, confirm K/σ_c/D_c invariance
23 Crypto shortcut: one on-chain market (ETH/USDC Uniswap or Aave), compare firing to known stress events
34 Internal tech report: write up results, check if any parameter tuning needed
46 Starling murmuration deep dive: Cavagna 3D trajectory data, validate against predator attacks/roosting
68 Draft preprint: math + crypto + starling → arXiv
8+ Historical prose pipeline: subsistence observer records, expand to cattle/fish/rat datasets

Priority 1: Mathematical Characterization First (days, not weeks)

The prime gap result is the most leveraged finding. It fired with zero calibration on a domain the detector was never designed for. Before applying to biology or finance, characterize what CLASS of sequences the detector fires on.

Test suite to run:

  • Random uniform → should be silent
  • Random walk / Brownian noise → high σ_q, no collapse
  • Periodic (sine, constant gap) → silent or low firing
  • Chaotic (logistic map, Lorenz discretized) → intermediate
  • Fibonacci mod n, digits of π, Copeland-Erdős, Thue-Morse
  • Twin prime gaps only, prime gaps by range
  • Primes in arithmetic progressions

Why first: Gives a falsification boundary. Know exactly what the detector CAN and CANNOT see before touching noisier domains. Prevents overinterpretation. Takes days, not months.


Priority 2: Crypto Fast Track (parallel with math characterization)

Fastest feedback loop. Blockchain data is live, machine-readable, constraint math is explicit.

  • Pick one pool: ETH/USDC Uniswap v3 or Aave lending
  • Extract: tick liquidity, liquidation events, funding rates, trade sizes
  • Set τ = block time or event time
  • Find firing clusters → compare against known crashes, squeezes, governance attacks

Not the final validation — use as stress test. If fires on manipulated adversarial data at meaningful points, robustness confirmed. If fails, learn limitations early.


Priority 3: Depth vs Breadth Resolution

Breadth first across math + crypto is SAFE because you're actively testing invariance. The math characterization will reveal whether K, σ_c, D_c need substrate-specific tuning before you touch biology.

After math + crypto: go deep on starling murmurations (Cavagna data) because:

  • Already numerical (3D trajectories) — no extraction pipeline
  • Known critical phenomenon with studied order-disorder transition
  • Can directly compare to predator attack / roosting timestamps
  • Cleaner than historical prose anecdotes

Priority 4: Historical Prose Pipeline (weeks 8+)

Build AFTER math + crypto results are in hand. You'll know exactly what features to extract and how to discretize them. Don't build the pipeline for a signal you don't yet fully trust.

Schema when built:

{ timestamp: uint32, activity: enum{grazing,resting,milling,agitated,fleeing}, cohesion: enum{scattered,loose,tight} }

Publication Sequencing

Stage Timing Content
Internal tech report Now Prime gap result + math blowup plan. Establishes priority.
Preprint (arXiv) Weeks 6-8 Math characterization + crypto case + starling. Stakes claim, invites feedback.
Full paper Months 3-4 All three domains. Three-domain package (math, adversarial human, biological) is hard to dismiss.

Do not publish prematurely. The cross-domain substrate-invariance claim is bold. It needs math + one adversarial system + one clean biological system minimum before submission to high-impact venue.


Key Insight from DeepSeek

"The prime gap test is your canary in the coal mine — it's telling you this is bigger than you thought. Characterize that first, then let the applications flow from a position of mathematical certainty."