Combinatorial hierarchy
The combinatorial hierarchy is a mathematical structure of hierarchical sets of "bit-strings" generated from an algorithm based on "discrimination" (or equivalently XOR). Discovered by Frederick Parker-Rhodes, the hierarchy gives the physical coupling constants from a simple aphysical model. Remarkably, the relative strengths of the four forces—such as the dimensionless electromagnetic (fine-structure constant) or gravitational coupling constant—can be produced from the hierarchy, without any reference to physics.
See also
Notes
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
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