Politics as a Galaxy: Public Opinion Obeys Physics ✎ express

Original: "A quantum-like model of political consensus via non self-adjoint Hamiltonians"
· Fabio Bagarello, Gloria Liarda
arXiv:2606.19014 · 2026-06-17 · arXiv non-exclusive · independent analysis · 1 min
Quantum math helped model how government support rises and falls over time.

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Imagine a political system as a vast galaxy. Parties are stars, and supporters are dark matter — invisible but holding the whole structure together. The mood of this mass oscillates: condensing into hot support or dispersing as cold disillusionment. Over time, the spread of opinions grows, boosting entropy — a measure of chaos, like particles scattering in a cooling cloud.

To describe such flows, physicists turned to the mathematics of quantum mechanics — the kind that underpins the work of Werner Heisenberg. Its core idea is simple: a system exchanges energy with its surroundings, and the scientists swapped energy for public trust. The political galaxy isn't closed: trust comes and goes, just as stars are born and fade.

The authors considered three possible paths. When a coalition acts in harmony, support grows smoothly, like a galaxy in a calm phase. Internal strife causes sharp spikes, akin to star clusters colliding. The third scenario is a fragile balance: the slightest crisis collapses everything, like gravitational collapse. So abstract equations explain why some governments stay popular for ages while others plummet in an instant — no polling required.

It turns out that the math of quantum mechanics can catch the very moment when public opinion is about to shift dramatically — before analysts even notice.

A similar idea underlies psychohistory from Isaac Asimov's Foundation series — where math predicted the fate of galactic empires.

Scientists
David DeutschErwin SchrödingerJohn Stewart BellLouis de BroglieLov GroverPaul Benioff
Concepts
hamiltonian Hamiltonian mechanics Hamilton's rule time evolution coupled general circulation model Boltzmann equation quantum-like models quantum dynamics complex system dynamics collective behavior classical model harmonic oscillator agent Dynamical Systems product operator semiclassical stochastic dynamical system koopman operator Stochastic modeling emergent collective learning