Why a photon loses its purity ✎

Original: "A gravitationally induced decoherence model for photons in the context of the relational formalism"
arXiv:2602.07622 · 2026-02-07 · arXiv non-exclusive · independent analysis · 2 min
Gravitational waves wash away a photon's quantum purity, and this has been calculated for the first time without simplifications.

A tuning fork rings a single note until the trembling of the floor touches it. A photon in empty space is like such a tuning fork: its polarization can be strictly vertical or horizontal, and that is a pure quantum state. But the space around it is not empty. It is threaded by gravitational waves that stretch and squeeze everything they meet along the way. Decoherence is exactly that moment when the trembling of the floor starts throwing the tuning fork's pitch off.

Previously, this process was calculated for an object with no direction. A photon is trickier: it has polarization, and you have to make sure the calculation does not depend on how we look at the system. Scientists got around this difficulty by choosing the gravitational field itself as the clock. The idea is simple: time is set not by an external observer but by the course of events themselves.

The temperature of the gravitational background in the model is 0.9 kelvin. That is slightly warmer than the cosmic microwave background left over from the Big Bang.

What came out of it is an equation that describes how a photon gradually loses its quantum purity. It contains none of the simplifications usually made to keep a calculation manageable. This means the equation also applies when the gravitational noise changes rapidly. The practical payoff will not arrive tomorrow, but it is there. If we manage to measure how the gravitational background erases the quantum purity of a single photon, that will be a test of ideas in quantum gravity. For now, the model is a reminder: even in the emptiest room, the floor is always trembling a little.

In cosmological models the temperature of the thermal gravitational background is estimated at 0.9 K, only slightly above the temperature of the cosmic microwave background.

Concepts
classical gravity general relativity quantum clock interference fq gravity gravitational redshift geodesic equation equivalence principle AdS/CFT correspondence Birkhoff's theorem gravitational entanglement Wheeler-DeWitt equation Law of Universal Gravitation dynamic casimir effect magnetophotonic effects Einstein field equations Time dilation Maxwell's equations quantum decoherence causal set theory newtons laws