Combinatorial hierarchy

Combinatorial hierarchy is a mathematical structure of bit-strings generated by an algorithm based on discrimination (exclusive-or between bits). It was originally discovered by A.F. Parker-Rhodes in the 1960s, and is interesting because of physical interpretations that relate it to quantum mechanics.^[1] For example, values close to the fine structure constant and the proton-mass gravitational coupling constant appear in the generation of the Hierarchy.^[1]

See also

• Combinatorics
• Combinatorics and physics

Notes

1. ^ ^{a b} Bastin, Ted and Kilmister, C.W. Combinatorial Physics. World Scientific, 1995, ISBN 981-02-2212-2

References

• A formal development of the combinatorial hierarchy in terms of group theory appears in the appendix to "On the physical interpretation and the mathematical structure of the combinatorial hierarchy," Int. Journ. Theor. Phys. 18, 7 (1979) 445.
• Theory of Indistinguishables, A.F. Parker-Rhodes, Reidel, 1981.
• Journal of the Western Regional Chapter of the Alternative Natural Philosophy Association

This combinatorics-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Mathematical physics Quantum mechanics Combinatorics Combinatorics stubs Wikimedia Foundation. 2010. Игры ⚽ Нужно сделать НИР? Wardle Torah High Schools of San Diego Look at other dictionaries: Combinatorial explosion — For other uses, see Combinatorial explosion (communication). In mathematics a combinatorial explosion describes the effect of functions that grow very rapidly as a result of combinatorial considerations.[1] Examples of such functions include the… …   Wikipedia Combinatorics and physics — Combinatorial physics or physical combinatorics is the area of interaction between physics and combinatorics. Combinatorial Physics is an emerging area which unites combinatorial and discrete mathematical techniques applied to theoretical physics …   Wikipedia List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia Clive W. Kilmister — (1924 – May 2, 2010) was a British applied mathematician who specialized in the mathematical foundations of physics, especially quantum mechanics and relativity. He was one of the discoverers of the combinatorial hierarchy, along with A. F.… …   Wikipedia Bit-string physics — is an emerging body of theory which considers the universe to be a process of operations on strings of bits. Bit string physics is often associated with A.F. Parker Rhodes combinatorial hierarchy, which is notable for its relationship with the… …   Wikipedia Logovisual technology — The term logovisual technology was introduced c. 2000 (Blake, Varney 1999) as a generic description for methods that structure texts to aid thinking. It arose in relation to a particular history of research and development with applications in… …   Wikipedia Computational complexity theory — is a branch of the theory of computation in theoretical computer science and mathematics that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other. In this context, a… …   Wikipedia Clique problem — The brute force algorithm finds a 4 clique in this 7 vertex graph (the complement of the 7 vertex path graph) by systematically checking all C(7,4)=35 4 vertex subgraphs for completeness. In computer science, the clique problem refers to any of… …   Wikipedia Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia Neural modeling fields — Neural modeling field (NMF) is a mathematical framework for machine learning which combines ideas from neural networks, fuzzy logic, and model based recognition. It has also been referred to as modeling fields, modeling fields theory (MFT),… …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”