Existence of a Single-World Classical Replacement for Quantum Mechanics

Determine whether there exists a single-world classical theory—deterministic or indeterministic—that replaces quantum mechanics by reproducing its predictions, while overcoming the constraints posed by Bell’s theorem and the Kochen–Specker theorem; or establish that such a replacement is impossible.

Background

The paper proposes a classical many-worlds interpretation in which quantum mechanics is reconstructed from coexisting classical worlds with identity-changing evolution and objective self-location probabilities. In discussing whether one could avoid the apparent extravagance of many worlds, the author directly addresses the prospect of a single-world classical alternative to quantum mechanics.

The author explicitly states that no such method is currently known and highlights fundamental barriers imposed by Bell’s and Kochen–Specker theorems. Settling the existence or impossibility of a single-world classical replacement would clarify whether many-worlds or other nonclassical features are necessary to account for quantum phenomena.