Physics

How many labels can a biological oscillator carry? A quality-factor screen for proposed information carriers

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Information theorySignal processing

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This theoretical study establishes a universal metric—the quality factor Q—to evaluate whether biological oscillators can carry distinguishable information labels, independent of their physical substrate. The authors demonstrate that spectral distinguishability fundamentally limits the number of possible labels, and when applied to proposed information carriers like high-frequency electromagnetic fields and molecular vibrations, most fail this criterion due to insufficient coherence time relative to their oscillation frequency. Only low-frequency neural rhythms (brain waves) pass the screening criteria, while high-frequency molecular carriers are eliminated primarily because they don't persist long enough to be both readable and rewritable.


This work provides a systematic framework for evaluating controversial proposals about information processing in biology, from quantum brain theories to vibrational signaling in proteins. By establishing clear physical bounds, it helps redirect research efforts toward biologically plausible mechanisms and away from proposals that violate fundamental constraints on energy, timing, and spectral resolution.


⚠️ Preprint – Noch nicht peer-reviewed

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Abstract: How many distinguishable labels can a biological oscillator carry? Proposals invoking collective vibrational modes, endogenous electromagnetic fields, microtubule excitations and oscillatory phase codes are each debated on grounds particular to themselves, with no shared standard for comparison. We show that spectral distinguishability alone bounds the number of labels by the quality factor, M <= Q = 2 pi nu tau. This follows from the relation between linewidth and coherence time, so it is independent of substrate, of mechanism, and of any position on quantum effects in biology, and it can be evaluated from two published quantities. Applied to a recently proposed 30 GHz intracolumnar microwave field in cortex, it gives Q = 0.19: the linewidth exceeds the carrier five-fold. The obvious rescue, that a driven emitter can be spectrally narrower than its gain medium, requires a resonant cavity, and the model's own geometry forbids one. An independent bound on metabolic power is exceeded by five to nine orders of magnitude. Six further criteria follow from the same standpoint, including a two-sided persistence window requiring a label to be both readable and rewritable. Screening eleven carriers, only the low-frequency neural rhythms pass. High-frequency molecular carriers are eliminated by brevity, not by the fragility the debate has assumed.

Source: How many labels can a biological oscillator carry? A quality-factor screen for proposed information carriers