Causal Clifford Theory (CL10): a quantum cellular automaton on Cl(10,0) — Standard Model kinematics, exactly unitary causal dynamics, and a lattice gravitational sector

A quantum cellular automaton is defined on a Planck lattice whose 2x2x2 cells carry the Clifford algebra Cl(10,0) on eight sub-sites (on-site space C^256) and are updated by one six-stage product of Spin(10) plane rotations and swap-rotations. This repository contains the full construction (doc/final_publication.md, 54 p) and its three companion papers (Paper I: core kinematics and unitarity; Paper II: the gauged bond layer and the lattice gravitational sector; Paper III: the loop-factor ladder and the phenomenology), together with the complete validation suite: 112 experiments, 112/112 PASS (run_validation.py). Every number quoted in the papers is produced by the open scripts in this repository. Results carry a provenance classification (algebraic, conventional, fitted, open); nine tensions with observation and seven falsifiers are reported rather than hidden.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-12
DOI
https://doi.org/10.5281/zenodo.23321106
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Causal Clifford Theory (CL10): a quantum cellular automaton on Cl(10,0) — Standard Model kinematics, exactly unitary causal dynamics, and a lattice gravitational sector

Mohamed Haouach
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Causal Clifford Theory (CL10): a quantum cellular automaton on Cl(10,0) — Standard Model kinematics, exactly unitary causal dynamics, and a lattice gravitational sector

Mohamed Haouach
preprint en

Abstract

A quantum cellular automaton is defined on a Planck lattice whose 2x2x2 cells carry the Clifford algebra Cl(10,0) on eight sub-sites (on-site space C^256) and are updated by one six-stage product of Spin(10) plane rotations and swap-rotations. This repository contains the full construction (doc/final_publication.md, 54 p) and its three companion papers (Paper I: core kinematics and unitarity; Paper II: the gauged bond layer and the lattice gravitational sector; Paper III: the loop-factor ladder and the phenomenology), together with the complete validation suite: 112 experiments, 112/112 PASS (run_validation.py). Every number quoted in the papers is produced by the open scripts in this repository. Results carry a provenance classification (algebraic, conventional, fitted, open); nine tensions with observation and seven falsifiers are reported rather than hidden.

Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
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Causal Clifford Theory (CL10): a quantum cellular automaton on Cl(10,0) — Standard Model kinematics, exactly unitary causal dynamics, and a lattice gravitational sector — Mohamed Haouach · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS