A time-symmetric generalization of quantum mechanics

TL;DR

This paper introduces a time-symmetric quantum mechanics model inspired by scattering theory, involving two interacting states traveling in opposite time directions, and demonstrates its equivalence to pseudo-unitary quantum mechanics.

Contribution

It presents a novel time-symmetric generalization of quantum mechanics based on dual interacting states and establishes its equivalence to pseudo-unitary quantum mechanics.

Findings

Model is equivalent to pseudo-unitary quantum mechanics

Introduces a new framework with forward and backward traveling states

Uses a unitary scattering operator to describe interactions

Abstract

I propose a time-symmetric generalization of quantum mechanics that is inspired by scattering theory. The model postulates two interacting quantum states, one traveling forward in time and one backward in time. The interaction is modeled by a unitary scattering operator. I show that this model is equivalent to pseudo-unitary quantum mechanics.