Methods developed in a previous paper are employed to define an exact correspondence between the states of a deterministic cellular automaton in 1+1 dimensions and those of a bosonic quantum field theory. The result may be used to argue that quantum field theories may be much closer related to deterministic automata than what is usually thought possible.

Ever since its foundations were laid nearly a century ago, quantum theory has provoked questions about the very nature of reality. We address these questions by considering the universe—and the multiverse—fundamentally as complex patterns, or mathematical structures. Basic mathematical structures can be expressed more simply in terms of emergent parameters. Even simple mathematical structures can interact within their own structural environment, in a rudimentary form of self-awareness, which suggests a definition of reality in a mathematical structure as simply the complete (...) structure. The absolute randomness of quantum outcomes is most satisfactorily explained by a multiverse of discrete, parallel universes. Some of these have to be identical to each other, but that introduces a dilemma, because each mathematical structure must be unique. The resolution is that the parallel universes must be embedded within a mathematical structure—the multiverse—which allows universes to be identical within themselves, but nevertheless distinct, as determined by their position in the structure. The multiverse needs more emergent parameters than our universe and so it can be considered to be a superstructure. Correspondingly, its reality can be called a super-reality. While every universe in the multiverse is part of the super-reality, the complete super-reality is forever beyond the horizon of any of its component universes. (shrink)

This article is a summary of an expanded version of my previous publication Ref. [ 1 ]. In particular, in Ref. [1] using a new axiomatic matrix approach – which has been formulated on the basis of ring theory and Clifford algebra – by first quantization (followed by a basic procedure of minimal coupling to the space-time geometry) of a special relativistic algebraic matrix equation, a certain massive form of gravitational field equations – with new matrix formalism and also a (...) definite form of torsion which generates the gravitational field's invariant mass – is derived uniquely. It is shown that the massless case of these derived equations is equivalent to the Einstein field equations (including a cosmological constant). Moreover, it has been shown that the matrix formalism of derived gravitational field equations, is compatible with matrix representations of certain Clifford algebras. (shrink)