Xenobots have no brain, no synapses, no genetic modification. They form memories anyway. The math is the same math that governs solar coronae, nuclear decay, and protein folding.
Published data from Pai et al. (Levin Lab, 2026). No framework rubric used — all inputs are physical measurements.
Three results that matter for the framework.
Same Kramers escape formula. Same barrier range. Different domains. Different substrates. One thermodynamic pattern.
Six predictions tested against published data. Honest about what's strong and what's weak.
| Test | Verdict | Key number |
|---|---|---|
| HP-XBM1 — Barrier symmetry | PASS | Eb/T = 5.61 reverse, < 1.79 formation |
| HP-XBM2 — CC-variance anti-correlation | PASS (direction) | Both stimuli anti-correlate; Fisher p = 0.14 |
| HP-XBM3 — Mean-field convergence | PASS (structural) | τ ≈ 34h ≠ predicted 2.4h (14× slower) |
| HP-XBM4 — Zone occupancy | PASS (partial) | Arcers < 10% ≈ tertiary 8% |
| HP-XBM5 — K-Factorization | PASS (direction) | Variance 7.7×; CC 17.5% |
| HP-XBM6 — Kramers universality | PASS | Eb/T = 6.76, z = 0.55 |
Honest assessment: 2/6 are quantitative passes (XBM1, XBM6). 2/6 are direction-only (XBM2, XBM5 — need individual xenobot data for quantitative ρ). 1/6 structural (XBM3 — exponential approach fits but timescale is 14× off). 1/6 partial (XBM4 — paper only reports arcers <10%, no spinner/rotator split). The strongest signal is Kramers barrier universality. The weakest is the mean-field timescale mismatch.
Pai, Traer, Sperry, Zeng & Levin (Levin Lab, Tufts/Harvard). bioRxiv 2026. CC-BY 4.0.