Schrödinger's Cat Meets Occam's Razor

Area of Science:

• Quantum Mechanics
• Philosophy of Science

Background:

• The Schrödinger cat problem highlights paradoxes in quantum mechanics measurement.
• Conventional quantum mechanics treats measurement as a primitive concept, leading to paradoxes with the Heisenberg cut.

Purpose of the Study:

• To simplify and explain Belavkin's approach to the Schrödinger cat problem.
• To connect Belavkin's ideas with Landsman's work on superselection and environmental interaction.
• To make these concepts accessible to those in philosophy of science by using discrete time and separable Hilbert spaces.

Main Methods:

• Utilizing discrete time and separable Hilbert spaces for a simplified model.
• Applying Belavkin's collapse theory, where the classical world evolves stochastically.
• Defining the quantum/classical distinction through the arrow of time.

Main Results:

• The classical world emerges dynamically and stochastically from quantum evolution.
• The Born rule governs the probabilistic evolution of classical trajectories.
• A collection of 'beables' with classical trajectories grows over time.

Conclusions:

• Belavkin's approach offers a resolution to quantum measurement paradoxes.
• The past is characterized by particles, the future by waves, with the present at the interface.
• This framework provides a novel perspective on the quantum-to-classical transition.