openOmega: Tensor Matrix Architecture for Matter-Antimatter Symmetry in ±12D, ±112D, and ±224D Spaces

Previous approaches to simulating physical reality (the openQL and openOL engines) were limited to simulating "positive" matter and observable fields. This document introduces the unifying openOmega architecture, which expands intensional tensor computing to include absolute physical symmetry. By introducing the Cayley-Dickson construction and the algebra of sedenions, the engine expands the phase space from 12D and 112D to a full 224D, and crucially, integrates their negative mirror counterparts (-12D, -112D, -224D). This negative half-plane mathematically represents the Dirac sea of the vacuum, antimatter, and phase-conjugated (time-reversed) wave propagation. By utilizing "Zero Divisors" natively in the silicon of Tensor Cores, the architecture enables the computation of spontaneous matter creation from the vacuum and annihilation with absolute energy conservation, thereby providing a unified framework for a Theory of Everything in computational physics.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23263527
Primary Topic
Algebraic and Geometric Analysis
Type
preprint
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preprint

openOmega: Tensor Matrix Architecture for Matter-Antimatter Symmetry in ±12D, ±112D, and ±224D Spaces

Michal Mazgal
Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
preprint

openOmega: Tensor Matrix Architecture for Matter-Antimatter Symmetry in ±12D, ±112D, and ±224D Spaces

Michal Mazgal
preprint en

Abstract

Previous approaches to simulating physical reality (the openQL and openOL engines) were limited to simulating "positive" matter and observable fields. This document introduces the unifying openOmega architecture, which expands intensional tensor computing to include absolute physical symmetry. By introducing the Cayley-Dickson construction and the algebra of sedenions, the engine expands the phase space from 12D and 112D to a full 224D, and crucially, integrates their negative mirror counterparts (-12D, -112D, -224D). This negative half-plane mathematically represents the Dirac sea of the vacuum, antimatter, and phase-conjugated (time-reversed) wave propagation. By utilizing "Zero Divisors" natively in the silicon of Tensor Cores, the architecture enables the computation of spontaneous matter creation from the vacuum and annihilation with absolute energy conservation, thereby providing a unified framework for a Theory of Everything in computational physics.

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
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openOmega: Tensor Matrix Architecture for Matter-Antimatter Symmetry in ±12D, ±112D, and ±224D Spaces — Michal Mazgal · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS