The Quantum Coin: Bohr & von Neumann's Solution ✎ express

Original: "There is No Quantum World"
· Jeffrey Bub
arXiv:2512.18400 · 2025-12-20 · arXiv non-exclusive · independent analysis · 1 min
A new perspective on measurement blends Bohr's and von Neumann's ideas, showing that the complexity of the apparatus itself eliminates quantum uncertainty.

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A quantum particle, an inhabitant of the elementary particle world, resembles a coin spinning in the air: neither heads nor tails, but a blend of possibilities. Yet when it lands on the table, the outcome becomes definite. What serves as the table in a measurement?

Niels Bohr insisted: the measuring device is part of the classical world, and cannot be described in quantum language. Measurement doesn't destroy the particle; it links it to our familiar surroundings.

The mathematician von Neumann showed that if the device is infinitely complex, its collective behavior inexorably squeezes a definite value out of the particle — much like how disorder inevitably grows in a closed system. The new work fuses Bohr's views with this mathematics: classical concepts are not a choice, but a necessity. The measurement problem vanishes. An unexpected twist: the same logic applies to black holes: there, quantum uncertainty hides behind the horizon, just like the faces of a spinning coin.

Von Neumann, who invented computer architecture, also brought his love for infinite systems to quantum mechanics: his measurement mathematics echoes the processing of crisp bits from quantum noise.

Scientists
Max BornWilliam WoottersJohn Archibald WheelerNiels BohrPhilippe GrangierDavid Hilbert
Concepts
quantum measurement theory quantum mechanics classical physics new physics no-cloning theorem john von neumann newtonian gravity feynman Noether's theorem gravity theories product operator newtonian limit commutator vacuum non singular cosmology von Neumann entropy newtons laws work Newton's second law einstein