A time (anti)symmetric approach to the double solution theory

TL;DR

This paper introduces a local, antisymmetric wave-based approach to quantum mechanics that reproduces orthodox results and incorporates superdeterminism and time symmetry, inspired by de Broglie's early ideas.

Contribution

It proposes a novel local, antisymmetric wavelet framework that aligns with de Broglie-Bohm trajectories and challenges nonlocal interpretations of quantum mechanics.

Findings

Reproduces quantum trajectories using antisymmetric wave pulses

Achieves locality in Bell's sense unlike traditional Bohmian mechanics

Links superdeterminism and time symmetry to quantum behavior

Abstract

In this work we present a new theoretical approach to interpreting and reproducing quantum mechanics using trajectory-guided wavelets. Inspired by the 1925 work of Louis de Broglie, we demonstrate that pulses composed of a difference between a retarded wave and an advanced wave (known as antisymmetric waves) are capable of following quantum trajectories predicted by de Broglie-Bohm theory (also known as Bohmian mechanics). Our theory reproduces the main results of orthodox quantum mechanics and, unlike Bohmian theory, is local in the Bell sense. We show that this is linked to the superdeterminism and past-future (anti)symmetry of our theory.