In this paper, we introduce a new type of computation called “Morphic Computing”. Morphic Computing is based on Field Theory and more specifically Morphic Fields. Morphic Fields were first introduced by Rupert Sheldrake [1981] from his hypothesis of formative causation that made use of the older notion of Morphogenetic Fields. Rupert Sheldrake [1981] developed his famous theory, Morphic Resonan...

In this note we classify sequences according to whether they are morphic, pure morphic, uniform morphic, pure uniform morphic, primitive morphic, or pure primitive morphic, and for each possibility we either give an example or prove that no example is possible.

In this paper, we re-formulate “morphic cohomology” as introduced by the author and H.B. Lawson [F-L1] in such a way that it and “Lawson homology” satisfy the list of basic properties codified by S. Bloch and A. Ogus [B-O]. This reformulation enables us to clarify and unify our previous definitions and provides this topological cycle theory with foundational properties which have proved useful ...

In this paper we generalize the notion of an ι-symmetric word, from an antimorphic involution, to an arbitrary involution ι as follows: a nonempty word w is said to be ι-symmetric if w = αβ = ι(βα) for some words α, β . We propose the notion of ιtwin-roots (x, y) of an ι-symmetric wordw. We prove the existence and uniqueness of the ι-twin-roots of an ι-symmetric word, and show that the left fac...

Let R be a ring. An element a in R is called left morphic (Nicholson and Sánchez Campos, 2004a) if l a R/Ra, where l a denotes the left annihilator of a in R. The ring itself is called a left morphic ring if every element is left morphic. Left morphic rings were first introduced by Nicholson and Sánchez Campos (2004a) and were discussed in great detail there and in Nicholson and Sánchez Campos ...

We study structure of pure morphic and morphic sequences and prove the following result: the subword complexity of arbitrary morphic sequence is either Θ(n) for some k ∈ N, or is

Multidimensional contractions of irreducible representations of the Cayley–Klein orthogonal algebras in Gel'fand–Zetlin basis are considered. Contracted over different parameters, algebras can turn out to be iso-morphic. In this case method of transitions describes the same reducible representations in different basises, say discrete and continuons ones.