Theorem 1: formal statement of hypotheses H1 through H4 and the conclusion of the DNA-Zeno no-go theorem

Research · 8/10

DNA Zeno, independent research

Independent research study exploring whether the quantum Zeno effect could freeze proton tunneling in DNA base pairs (a mechanism behind mutation-inducing tautomers) to protect DNA-based data storage.

The physical mechanism

The proton in a hydrogen bond (for instance between an adenine and a thymine) has a nonzero probability of crossing the energy barrier separating its canonical position from its tautomeric one, through plain quantum tunneling. This is the switch, a source of mutations during replication, that the study seeks to control.

The algorithm studied

Zeno-effect control would apply, at regular intervals much shorter than the tunneling effect's characteristic time, a projective measurement operator forcing the system to stay in its initial canonical state rather than letting it evolve freely into a superposition. The study formalizes this algorithm mathematically, something the existing literature never spells out.

Theorem and conclusion

By comparing the structural consequences (measurement-photon energy far exceeding bond energy) and thermodynamic consequences (Landauer dissipation) of this active control, the study establishes a no-go theorem: Zeno control of storage DNA is physically and energetically impossible with any conceivable technology. A roadmap of more realistic alternatives (cryogenics, advanced classical error-correcting codes, XNA substrate engineering, machine-learning prediction) is proposed instead.

Full report available below in both French and English.

Citing this work

Published in open access on Zenodo, in matching French and English versions:

×3,000 Probe energy needed vs. DNA bond-breaking threshold
10⁶ Gap between tunneling error and synthesis error

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