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The Wolfram Hyperdimensional Graph theory derriving both Standard Model and Hilbert Space
The Wolfram Hyperdimensional Graph theory encompasses a shift from considering internal structures to focusing on process theories. This approach has been applied in quantum mechanics through categorical quantum mechanics, where the emphasis is on quantum processes rather than spaces of states. Constructive theory is likened to the processes and functions version of physics, contrasting traditional mathematical physics which is viewed as the sets and structures version. The hypergraph dynamics view merges both internal structure and process algebra, allowing for a dual perspective. By neglecting multi-way system considerations, general relativity and quantum mechanics can emerge as limiting cases from the Wolfram Hyperdimensional Graph theory. The symmetric, monoidal category in categorical quantum mechanics resembles the algebraic structure of Hilbert spaces in quantum mechanics.