Two Times in the Quantum World ✛

Original: "Two times or none?"
· Michael Ridley, Eliahu Cohen
arXiv:2509.22264 · 2025-09-26 · CC BY 4.0 · 1 min
Scientists compare two approaches to the nature of time: timeless and with two directions — perhaps our reality is just their meeting point.

The quantum world does not recognize the usual flow of time. One approach, developed by Wheeler, asserts: all events — past, present, future — already coexist, like frames on a film reel. In this 'timeless' picture, our life is merely the projector's path across a static spacetime strip. The ticking of clocks is an illusion, born from the growth of disorder in the system.

Another method, proposed by Aharonov, goes beyond the Standard Model and adds a hidden property to particles, allowing them to move in both directions along time — as if the film reel could be run forward and backward simultaneously. Every event gets a mirror twin from the reverse flow. On large scales, the symmetry of these two directions adds up to the familiar arrow of time.

An unexpected twist: these two views may not be mutually exclusive. Perhaps the Universe uses both, switching depending on scale, and our 'now' is just their meeting point.

If the two-time approach were correct, every particle in the Universe would have its 'twin,' living in the reverse time flow.

As in the movie 'Tenet,' where heroes move backwards through time, so this model suggests the existence of reverse motion for fundamental particles.

\hat{H}|\Psi\rangle = 0
The Wheeler–DeWitt equation: the total energy of the quantum state of the universe is zero, and time does not enter the equation as an external parameter.
\hat{H}_+ |\Psi\rangle = 0, \quad \hat{H}_- |\Psi\rangle = 0
Two constraint equations for the upper and lower branches of the Keldysh contour: time is doubled, and each branch obeys its own condition.
Scientists
Bryce DeWittCarlo RovelliJohn Archibald WheelerJacob BekensteinKarl SchwarzschildJoseph Weber
Concepts
quantum time quantum switch product operator commutator time feynman integral operator observer Schrödinger equation two level system hybrid approach spacetime temporal entanglement hamiltonian spacetime emergence hybrid algorithm semiclassical uncertainty principle state space memory