Two Maps of One City express

Original: "Generalized relative locality and causal sets"
· Andrea Bevilacqua, Alice Boldrin
arXiv:2604.17272 · 2026-04-19 · CC BY 4.0 · 2 min
Time and distance can shift depending on who is doing the measuring.

If two people look at a city from different hills, their maps don't match. One sees the tower to the left of the river, the other sees it to the right. But both know: it's the same city. That's roughly how our Universe works in this new approach to quantum gravity.

The authors suggest distinguishing between two "flavors" of spacetime. The first is common to all, like the real city down in the valley. The second is unique to each observer, like a hand-drawn sketch. This personal sketch isn't made of smooth lines but of discrete points-events linked by causality (what comes before, what comes after). The paper's main conclusion: when these two descriptions interact, the relativity of location emerges — an effect where two observers can disagree about where exactly something happened. And no exotic geometry is needed for this.

The relativity of location is like a game of two translators: both hear the same speech, but they write it down in different coordinate systems. The meaning is the same, but the words on paper end up in different places.

This view flips the usual picture. Previously, it was thought that the relativity of location requires complex geometry in momentum space. Here, everything is built around spacetime itself, with momenta playing a secondary role. It's as if we finally realized that it's not the hill that distorts the map, but that the map itself must be flexible. Practically, this means the new approach can be applied to cosmology on any background, not just in special cases. Causality, what happened before and what after, remains clear even in such flexible models.

If spacetime were truly discrete at the microscopic level, then on the scale of a grain of sand there would be more "points-events" than there are grains of sand on all the beaches on Earth.

In Isaac Asimov's novel "The End of Eternity," observers from different eras literally see different realities, and must coordinate them to avoid destroying history.

Scientists
Bernhard RiemannJoseph WeberKarl SchwarzschildKip ThorneRainer WeissAlbert Einstein
Concepts
causal set theory quantum field theory in curved spacetime background independent quantum gravity fq gravity locality general relativity flat space gravitational singularity gravitational entanglement causality spacetime emergence Penrose singularity theorem supergravity curvature nonlocality position temporal entanglement spatial curvature granger causality newtonian limit