How to Avoid Absolute Determinismin Two Boundary Quantum Dynamics

Abstract

Arguments for a two boundary theory are briefly outlined. Plausible concepts of how in such a theory an approximate causal macroscopic theory can emerge are presented. A problem with simple implementations of the two boundary theory is that effective or real willful decisions can not be added as there is no consecutive macroscopic time ordering. In this letter, we present a somewhat drastic but beautiful way to avoid it.

The Surjective Mapping Conjecture and the Measurement Problem in Quantum Mechanics

“…It is intrinsically somewhat less deterministic than the usual two boundary interpretations [11]. What happens at a time τ 1 = t and τ 2 = 2t f − t affects the evolution in between, including the "final" t f state.…”

Measurement Problem in Quantum Mechanics and the Surjection Hypothesis

“…There is a simple, natural way to select a path according to Equation ( 15) [23], avoiding random selection. If desired, it can be easily amended to include free will decisions [29].…”

“…The quantum-times τ −1 and τ 1 are chosen in a way that in the in-between region, the extensive system of witnesses matching in the extremely extended region at τ 0 keep ψ(2τ 0 − τ) and ψ * (τ) sufficiently close to maintain the usual prediction. Eventually, the different "initial" states < i | =< ψ(τ −2 ) | and | i >= |ψ(τ 2 ) > will yield ψ(2τ 0 − τ) = ψ * (τ) leading to visible CPT violations [29].…”