How Long Does a Bacterium Live? The Answer in a Quantum Recipe ✛ ✦

Original: "Fock-Space Formulation of the Lifetime of a Unicellular Organism"
· Yehuda Roth
arXiv:2606.31185 · 2026-06-30 · CC BY 4.0 · 1 min
Physicists measured a bacterium's lifespan through the integrity of its DNA — like a culinary recipe.

What is life? This question was already pondered by Erwin Schrödinger. Today, physicists have found an unexpected answer for bacteria. Their DNA works like a culinary recipe passed down from generation to generation in a living 'bakery'. As long as the recipe has no errors, life continues. But once smudges appear, the dish spoils — that is death. Scientists call the recipe's flawless preservation quantum coherence, and its breakdown — quantum decoherence.

Using the core equation of quantum physics and the methods of Heisenberg and Dirac, researchers derived a simple formula: τ = 1/λ, where τ is lifespan and λ is the error accumulation rate. The faster the recipe gets 'smudged', the shorter the life. An unexpected model outcome: two bacteria with the same recipe cannot occupy the same imaginary cell — exactly like two electrons avoid identical states (Pauli principle).

The model echoes the second law of thermodynamics: entropy (a measure of disorder) always increases. The bacterium, like a tiny engine, spends energy fixing DNA 'typos', temporarily holding chaos at bay. Once resources are exhausted, it succumbs to decay.

This approach turns death into a measurable loss of quantum information — essentially a quantum collapse. It gives a clear criterion for life, especially valuable for the search for extraterrestrial life. If a probe finds molecules with long-lasting coherence, that will be a biosignature. And on Earth, quantum sensors will help us understand how entanglement within DNA protects health and why we age.

The model enforces a 'one bacterium rule': two microorganisms with identical DNA cannot occupy the same imaginary cell — just like two electrons cannot be in the same state (Pauli principle).

\tau = \frac{1}{\lambda}
τ — bacterium lifespan, λ — rate of genetic code accuracy loss (decoherence).
Scientists
David DeutschErwin SchrödingerJohn Stewart BellLouis de BroglieLov GroverPaul Benioff
Concepts
cell bacterium genome biology biomolecule species stem cell living cells biofilm immunity origin of life biosignatures microorganism embryonic development protein bacteria gene microbial community DNA ecosystem