Paper 154 · CC-BY 4.0 · DOI: 10.5281/zenodo.19158782

Memory Without Neurons

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.

The numbers

Published data from Pai et al. (Levin Lab, 2026). No framework rubric used — all inputs are physical measurements.

6.76 Kramers Barrier Eb/kBT — universal range
0/5 Kill Conditions Fired All survive on published data
7.7× Scale Expansion Variance freed, coupling preserved
0 Neurons Zero neural architecture

What the xenobot reveals

Three results that matter for the framework.

Direct Observable
Calcium = Coupling
Ca²+ cross-correlation IS the coupling coordinate α. First time a Pe coordinate has a direct physical measurement. Embryo CC = 0.663, xenobot CC = 0.547. No scoring rubric involved.
K-Factorization
Scale and Shape Decouple
Variance expands 7.7× (scale freed). Cross-correlation changes only 17.5% (shape preserved). During stimulus: scale responds instantly, shape reorganizes over hours. K-Factorization in real-time.
Universal Barrier
Same Math, No Brain
Memory barrier Eb/T = 6.76 from 24h persistence. Sits between solar corona (6.54) and protein folding (6.90). The Kramers framework gives the same number across 8 domains. Zero neurons required.

The barrier is universal

Same Kramers escape formula. Same barrier range. Different domains. Different substrates. One thermodynamic pattern.

DomainEb/kBTΔ
Jailbreak/compliance3.2–4.8−3.6
Epidemic threshold5.3−1.5
Nuclear alpha decay5.6–8.2−1.2
Solar corona6.54−0.22
Xenobot memory6.760
Protein folding6.90+0.14
Chemical kinetics7.10+0.34

z = 0.55 from cross-domain mean. Well within one standard deviation.

HP-XBM experiment results

Six predictions tested against published data. Honest about what's strong and what's weak.

TestVerdictKey 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.

The source

Pai, Traer, Sperry, Zeng & Levin (Levin Lab, Tufts/Harvard). bioRxiv 2026. CC-BY 4.0.

N=30 Baseline Xenobots + N=22 embryo controls
24h+ Memory Persistence Last measurement timepoint
~28K Transcripts GEO: GSE320387 (public 2026-03-30)
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Read the paper
Full analysis on Zenodo. CC-BY 4.0.
Kramers Unification
Paper 131. The barrier formula across 11 domains.
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