Formal Formulation, Symbol Definitions, and Step-by-Step Assembly of the Mizan Master Equation

In this paper, I present the formal mathematical formulation, complete symbol breakdown, and rigorous step-by-step structural derivation of the Mizan Master Equation. Operating strictly within a discrete computational state-space, I define the transition mechanics governing node information propagation across discrete update steps without referencing continuous background manifolds. I establish the precise definition, purpose, and mathematical function of each constituent symbol within the governing state relation \\Xi_k = M \\cdot [\\Xi_{k-1} \\otimes \\mathcal{R}(\\frac{K_{\\text{Global}}}{k})], delivering a self-contained foundation for discrete matrix state updates.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22814682
Primary Topic
Model Reduction and Neural Networks
Type
preprint
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preprint

Formal Formulation, Symbol Definitions, and Step-by-Step Assembly of the Mizan Master Equation

Davinus Masire Ochanda
Zenodo (CERN European Organization for Nuclear Research)
Model Reduction and Neural Networks
preprint

Formal Formulation, Symbol Definitions, and Step-by-Step Assembly of the Mizan Master Equation

Davinus Masire Ochanda
preprint en

Abstract

In this paper, I present the formal mathematical formulation, complete symbol breakdown, and rigorous step-by-step structural derivation of the Mizan Master Equation. Operating strictly within a discrete computational state-space, I define the transition mechanics governing node information propagation across discrete update steps without referencing continuous background manifolds. I establish the precise definition, purpose, and mathematical function of each constituent symbol within the governing state relation \Xi_k = M \cdot [\Xi_{k-1} \otimes \mathcal{R}(\frac{K_{\text{Global}}}{k})], delivering a self-contained foundation for discrete matrix state updates.

Zenodo (CERN European Organization for Nuclear Research)
Oldham Council (GB)
Model Reduction and Neural Networks
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