Quantum Determinism from Quantum General Covariance
H. Nikolic
TL;DR
This paper shows that enforcing general covariance in quantum field theory naturally leads to a covariant Bohmian interpretation, where quantum fields evolve deterministically in a way consistent with covariance.
Contribution
It introduces a covariant Bohmian framework derived from the De Donder-Weyl formalism, connecting covariance with deterministic quantum evolution.
Findings
Quantum fields exhibit deterministic evolution under covariance constraints
The covariant Bohmian interpretation aligns with standard QFT in a covariant manner
The formalism bridges covariant quantization and hidden-variable theories
Abstract
The requirement of general covariance of quantum field theory (QFT) naturally leads to quantization based on the manifestly covariant De Donder-Weyl formalism. To recover the standard noncovariant formalism without violating covariance, fields need to depend on time in a specific deterministic manner. This deterministic evolution of quantum fields is recognized as a covariant version of the Bohmian hidden-variable interpretation of QFT.
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