Lorentz Covariance of Precise Predictability

Egon Marx

Juan León, Mariano Quirós C, J. Ramírez Mittelbrunn

Jaba Tkemaladze

The Ze-Lorentz framework (ZeVT) is a retrocausal ontological model that aims to reconcile Lorentz covariance with a deterministic state space while enforcing global Ze-budget conservation to avoid paradoxes. The model extends the Harrigan-Spekkens ontology with a conserved global resource $ Z: $ defined over the ontic state space and compact spacetime regions M, conserved via ∮_MjZ=0. Lorentz covariance is achieved via a retrocausal mechanism where future boundary conditions constrain present ontic states. The Bucciotti-Strocchi theorem (2024) demonstrates that within the standard canonical formalism of non-abelian Yang-Mills theories, Lorentz covariance, a global gauge group, and a non-trivial local subgroup cannot simultaneously be preserved. The theorem was not originally formulated for hidden-variable theories; however, its implications constrain any ontological framework, including ZeVT, that seeks to maintain manifest Lorentz covariance. The retrocausal mechanism and global Ze-budget conservation in ZeVT operate outside the theorem’s standard canonical framework assumptions; the non-abelian extension remains an open problem. The framework yields two testable predictions: (1) a correction to the Heisenberg uncertainty product, AB/2+/(NZ0); and (2) a modified decoherence time, _ZeVT=_QM(1+/(NZ0)). Experimental thresholds for distinguishing ZeVT from standard quantum mechanics are estimated for current ion-trap and future atom-interferometry platforms.

Steve Mackman, Euan J. Squires

Richard J. Cook

Recently, the author put forward a theory of the motion of photons in physical space, which provides a new approach to problems of photon-counting statistics. Here that theory is briefly reviewed, and a proof of its Lorentz covariance is given.