Dimensional Probability

SdogV

Anyone care to critique this talk abstract for the CSAAPT Meeting, 3/16/2013?

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

mitchell porter

The horror... the horror...

SdogV

So, what is a definitive definition of "dimension" and "probability" to use in Physics?

mitchell porter

Please just look up those words in Wikipedia.

SdogV

See first entry for what was found there and elsewhere!

SdogV

Revised: Errors revealed in re-reading first draft post above. Sorry, too impulsive.

DIMENSION AND PROBABILITY
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 intensive 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 appears as significant in an FQXi physics essay* contest that I entered last summer to define panpsychism. In a 2-D equilateral triangle, with one point as an origin for other two, a probability versus dimension plot shows extrapolated evidence of 0-D and 3-D as expected. For vertices of a 3-D regular tetrahedron as 4 points, treated in the same fashion as 16 trees, implies evidence that extrapolate to minus 1-D and ~4-D. For a 4-D pyramid, (minus ~1/2)-D and ~7-D appears.

Four such points are required to define the space occupied by matter, (i.e. protons, electrons, and neutrons). For spherical spaces, I conclude an infinite-D for a 100% probability and well below 50% for anything less considered.

Are space-time dimensions and probability really understood?
_________________________________________________________
* http://fqxi.org/community/forum/topic/1409