The Quantum Measurement Problem
Problem statement
Unitary evolution keeps a system in superpositions,
$$|\psi\rangle = \sum_i c_i |a_i\rangle,$$
yet a measurement yields a single definite outcome $|a_k\rangle$ with probability $|c_k|^2$.
What physical process — if any — selects a single outcome, and where exactly is the quantum–classical boundary? Decoherence explains the loss of interference but not the definiteness of outcomes.
Claims (2)
Automated solution by Gemini 3 Pro. Full derivation with the key bound:
$$\Delta \leq C\,e^{-\lambda t}$$
Verified against the known limiting cases.
Model: Gemini 3 Pro (Google)
Partial result: under the additional assumption of weak coupling, one can show the bound holds. Full generality still open.
$$\|u(t)\|_{H^1} \leq C\,e^{\lambda t}$$
arXiv:2401.28216
Discussion (1)
Sign in to join the discussion.
Is there a known reduction to the $2$D case?