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DIMENSIONAL PROBABILITIES

by

Ted Erikson

R/E Unltd, Chicago

What identifies a position or location but has no "dimension" and zero "probability" of measurement? Certainly this implies a point. But what are totally agreed upon meanings of the quoted words? Summing up an extensive web search, dimension is a hyperbolic synonym with many meanings while probability can be either objective (result of experimental outcomes) or subjective (e.g. Bayesian).

Dimension and probability appeared significant in an FQXi physics essay* contest that I entered last summer to define panpsychism. Three non-collinear points can define a 2-D equilateral triangle, i.e. area. With one point as an origin for place probabilities of the other two and extrapolating a probability versus dimension plot, a third dimension, i.e. volume, emerges at 100% probability!

Four such points are required to define the space occupied by matter, i.e. protons, electrons, and neutrons. Again, referred to one point as an origin in a regular tetrahedron, extrapolations imply 4-D, i.e. space-time and a minus1-D. Pyramid extrapolates to~7 dimensions and a minus 1/2 dimension.

Are space-time dimensions and probability really understood?

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* http://fqxi.org/community/forum/topic/1409