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Breaking on 25-10-22:  Calculating the Fine Structure Constant from Dimensions Alone (no symmetry required), please see the News Section.

Welcome to the website that supports a mathematical model of dimensionless physical constants based on the symmetry of prime numbers and the nature of exponential functions. The objective here is to calculate the relative rest masses of elementary particles and the relative coupling constants between forces. These ratios are free parameters in the standard model of physics, in the form of dimensionless constants. 

Large amounts of time, effort and money have been spent on measuring the dimensionless constants of physics. Yet in order to obtain an exact value for a constant it is necessary to calculate it, because the numbers coming out of experiments will always be subject to a certain degree of imprecision (called the relative standard uncertainty).

Although Albert Einstein once hoped to “rationally completely determine” precise values for dimensionless physical constants, the modern consensus is that it is simply not possible. The values used for rest masses and force coupling constants in the standard model have never been explained using a symmetry model, and in fact nobody appears to be trying any more. Yet if such a model could be found it would not simply be a case of replacing one mystery with another – because the mathematics of the model should supply some predictive power. And any predictions would eventually be either confirmed or disproved by results coming out of future observations and experiments.

The Large Hadron Collider has recently supplied a measured estimate of the rest mass of the Higgs boson, and now the book Prime Symmetry and Particle Physics is proposing a calculation of this dimensionless constant with a new model that also predicts rest masses for the neutrinos and an undiscovered light pseudoscalar boson (that could be a candidate for dark matter). 

Please choose a dimensionless constant from this drop-down list to see the “Prime Symmetry Model” (PSM) prediction:

[cf]theconstants[/cf]

For a full comparison of all the calculated constants against their currently measured values (wherever such are known), see this table of calculated dimensionless constants.