The Surjective Mapping Conjecture and the Measurement Problem in Quantum Mechanics

Accepting a time-symmetric quantum dynamical world with ontological wave functions or fields, we follow arguments that naturally lead to a two-boundary interpretation of quantum mechanics. The usual two boundary picture is a valid superdeterministic interpretation. It has, however, one unsatisfactory feature. The random selection of a chosen measurement path of the universe is far too complicated. To avoid it, we propose an alternate two-boundary concept called surjective mapping conjecture. It takes as fundamental a quantum-time running forward like the usual time on the wave-function side and backward on the complex conjugate side. Unrelated fixed arbitrary boundary conditions at the initial and the final quantum times then determine the measurement path of the expanding and contracting quantum-time universe in the required way.

Automated summary

The paper introduces an alternative two-boundary concept called the surjective mapping conjecture to explain the measurement path of the quantum-time universe. This concept views quantum time as running forward on the wave-function side and backward on the complex conjugate side, with fixed arbitrary conditions determining the measurement path.