# Lorentz-invariant, retrocausal, and deterministic hidden variables

## TL;DR

This paper explores a novel foliation-dependent approach to Lorentz-invariant deterministic hidden variables, suggesting retrocausation as a consistent solution to quantum nonlocality without preferred frames or paradoxes.

## Contribution

It introduces a foliation-dependent framework that allows Lorentz-invariant hidden variables and demonstrates retrocausation as a consistent feature in this context.

## Key findings

- Retrocausation emerges without paradoxes.
- Foliation-dependent models can bypass no-go theorems.
- Implications for Bohmian mechanics and quantum nonlocality.

## Abstract

We review several no-go theorems attributed to Gisin and Hardy, Conway and Kochen purporting the impossibility of Lorentz-invariant deterministic hidden-variable model for explaining quantum nonlocality. Those theorems claim that the only known solution to escape the conclusions is either to accept a preferred reference frame or to abandon the hidden-variable program altogether. Here we present a different alternative based on a foliation dependent framework adapted to deterministic hidden variables. We analyse the impact of such an approach on Bohmian mechanics and show that retrocausation (that is future influencing the past) necessarily comes out without time-loop paradox.