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math.LO2025
Dirac - von Neumann axioms in the setting of Continuous Model Theory
Boris Zilber
We recast the well-known axiom system of quantum mechanics used by physicists (the Dirac calculus) in the language of Continuous Logic. For the basic version of the axiomatic syste…
physics.gen-ph2025
Structural approximation and a Minkowski space-time lattice with Lorentzian invariance
Boris Zilber
We introduce a framework of structural approximation to represent Lorentz-invariant Minkowski space-time as the limit of finite cyclic lattices, each equipped with the action of a…
math.LO2025
Axioms of Quantum Mechanics in light of Continuous Model Theory
Boris Zilber
We revisit Dirac's axiomatization of quantum mechanics and show that it can essentially be reformulated in a more familiar logical setting - continuous model theory. Our aim is two…