Quantum Bio-Energetics

What the model tries to capture

The essay argues that evolution happens at unseen, subsurface levels long before it becomes visible. One candidate for those subsurface events is proton tunneling across the hydrogen bonds that hold DNA base pairs together. A proton in the wrong place can shift a base into a rare tautomeric form, which then pairs differently during replication. The error is small, local, and quantum-mechanical. Enough of them, filtered by selection, could become the raw material of a new species.

What the published work establishes

This is no longer only a thought experiment at the mechanism level. Peer-reviewed biophysical work (Slocombe, Sacchi, Al-Khalili and colleagues, building on Löwdin 1963) models proton tunneling across the hydrogen bonds of DNA base pairs — the G–C pair in particular — as a dominant contributor to spontaneous tautomerisation.

• Rate dominance. Calculated tunneling rates run orders of magnitude above classical thermal hopping over the same barrier.
• Transient but non-zero. Tautomeric states form and revert rapidly, yet retain a non-negligible steady-state occupation probability.
• Replication as a freeze. Strand separation during replication can lock a transient tautomer into a permanent mismatch — a point mutation.
• Active suppression. Enzymes such as helicase appear to raise the relevant energy barriers, offering stereochemical protection against double-proton-transfer mutations.

Taken together, these supply a concrete physical mechanism for the essay’s claim of imperceptible, subsurface biological change: alterations that accumulate quietly at the level of single hydrogen bonds and only become visible later, through phenotypic and cultural effects. The circuit below is a teaching model of that mechanism, not a substitute for the published calculations.

The circuit

The PennyLane circuit below is deliberately minimal. Wire 0 represents the proton’s position; wire 1 represents the electronic state of the base pair. The Hadamard puts the proton in superposition. The rotation RX(params[0]) stands in for the potential barrier height. The CNOT entangles the proton position with the base-pair state. The final RZ adds environmental or thermal noise.

import pennylane as qml
from pennylane import numpy as np

dev = qml.device("default.qubit", wires=2)

@qml.qnode(dev)
def quantum_tunneling_circuit(params):
    """
    Models proton tunneling across a hydrogen bond in a DNA base pair.
    This is one candidate mechanism for spontaneous tautomeric shifts
    (point mutations) — the kind of small, imperceptible change the essay
    describes as eventually producing new species.
    """
    # Superposition of proton position
    qml.Hadamard(wires=0)

    # Potential energy barrier
    qml.RX(params[0], wires=0)

    # Entanglement with base-pair electronic state
    qml.CNOT(wires=[0, 1])

    # Environmental / thermal noise
    qml.RZ(params[1], wires=1)

    return qml.probs(wires=[0, 1])

# Barrier height, environmental noise
params = np.array([0.45, 0.12], requires_grad=True)
probs = quantum_tunneling_circuit(params)

print("Quantum State Probabilities (No Mutation | Mutated State):")
print(probs)

How to read the output

The returned probabilities are a two-bit distribution. In this toy model, one outcome is read as “no mutation” and the other as “mutated state.” The exact mapping is arbitrary; the point is to make the quantum event countable, so that many such events can be summed into a population-level rate.

Link back to the essay

This notebook supplies a candidate physical mechanism for the claim that small subsurface quantum events accumulate into biological divergence. It does not prove that claim. It only makes the claim concrete enough to be wrong.