Combinatorial hierarchy

The 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 1964, 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

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