Physics & SpaceOpen access
Quantum phenomenology from a classical integer automaton: an emergent Schrödinger sector, exact exchange statistics, CHSH violation without randomness, frame-independent Bell statistics, a surviving isotropy no-go, and an engine-measured Planck-scale prediction, and obstruction theorems for dynamic geometry, and a bit-reversible clock field with a critical depth and a lapse theorem
New in v6 — a canonical, bit-reversible clock field (section 4c). The scalar lapse field is made itself bit-reversible with a clock-dependent stiffness by a canonical (ψ, p) transformation with an integer band table (0 register mismatches for matter + field at 64³). A pre-registe...
Zenodo (CERN European Organization for Nuclear Research)2026-09-190 citationsDOI Physics & SpaceOpen access
Quantum phenomenology from a classical integer automaton: an emergent Schrödinger sector, exact exchange statistics, CHSH violation without randomness, frame-independent Bell statistics, a surviving isotropy no-go, and an engine-measured Planck-scale prediction, and obstruction theorems for dynamic geometry, and a bit-reversible clock field with a critical depth and a lapse theorem
New in v6 — a canonical, bit-reversible clock field (section 4c). The scalar lapse field is made itself bit-reversible with a clock-dependent stiffness by a canonical (ψ, p) transformation with an integer band table (0 register mismatches for matter + field at 64³). A pre-registe...
Zenodo (CERN European Organization for Nuclear Research)2026-09-190 citationsDOI Physics & SpaceOpen access
Quantum phenomenology from a classical integer automaton: an emergent Schrödinger sector, exact exchange statistics, CHSH violation without randomness, foliation-independent Bell statistics, a selection-rule theorem for ensemble entanglement, a stimulated parametric pair channel with a capacity wall, a surviving isotropy no-go, two engine-measured forced rationals, and obstruction theorems for dynamic geometry
What this is. A single bit-exactly reversible, integer-valued lattice automaton in which a broad range of quantum phenomenology arises as measurable, checksum-reproducible behaviour. Evolution is a permutation of integer microstates, not approximate numerical integration — which...
Zenodo (CERN European Organization for Nuclear Research)2026-09-020 citationsDOI Physics & SpaceOpen access
A pre-registered quadratic photon-dispersion coefficient from an integer automaton, decidable by UHECR composition
We present a falsifiable prediction extracted from a candidate discrete substrate for physics: an integer, bit-exactly reversible Feistel automaton whose massless linear branch carries an isotropic, quadratically Planck-suppressed modification of the photon dispersion relation. T...
Zenodo (CERN European Organization for Nuclear Research)2026-08-270 citationsDOI