How a Timeless World Gains a Past and a Future ✎ express

Original: "The problem of time: a path integral view"
· Juan Manuel Diaz, Alejandro Perez
arXiv:2605.17935 · 2026-05-18 · arXiv non-exclusive · independent analysis · 1 min
Physicists have shown that the arrow of time is not baked into the laws of nature but emerges as soon as you identify a ‘clock’ within the Universe itself.

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The deepest equations of physics, like the Wheeler–DeWitt equation, contain no time. Past and future are scrambled within them, like frames on a film reel with no arrow indicating which way to play it. This symmetry is not a flaw but a feature.

By summing over all possible histories, the theory yields an equal mixture of forward and backward evolutions: this is known as the cosine problem. But as soon as you single out a ‘clock’ inside the universe, any subsystem that sets a rhythm, the symmetry breaks. The clock becomes a projector: the sum of histories now prefers one direction.

Thus, in quantum gravity (for instance, in the work of Rovelli), the flow of time is born spontaneously. No tweaking of the laws: an internal metronome turns chaos into the arrow of time. This also explains how time could have started after the Big Bang. And most astonishingly, any sufficiently large object, even a spinning galaxy, can act as such a clock, selecting a future from a fan of possibilities.

Paradox: time doesn’t flow on its own: it requires an ‘observer’ in the form of a physical clock. Without one, all moments exist at once, like frames on a frozen film reel.

Just like in ‘Tenet’, where reversed entropy turns time backward, the new work shows that at a fundamental level, motion in either direction is equally valid — until a clock intervenes.

\exp(iS/\hbar)+\exp(-iS/\hbar)
sum of two quantum trajectories—one toward the future and one toward the past; S is the accumulated action, ħ is Planck’s constant
Scientists
Bryce DeWittCarlo RovelliJohn Archibald WheelerBernhard RiemannJoseph WeberKarl Schwarzschild
Concepts
time evolution spacetime emergence Schrödinger equation quantum time einstein geodesic equation gravitational theory quantum walk semiclassical gravity CPT theorem causality spacetime curvature schrodingers cat gravity theories causal set theory trajectory position evolution ergodic theorem Einstein field equations