Advanced insight. Reasoning at the extremes.
©Copyright Andrew R. Hall Abstract Inventions 2015. All rights reserved.
Evaluation of the UKE
The Universal Keystone Equation
It is easy to use the UKE to calculate the value of G once you know a couple of things...
h is Planck's constant with a value of 6.62606957e-34 Wikipedia
c is the speed of light with a value of 299792458 m/s Wikipedia
To calculate G in Excel enter; =(9*h/c)^(1/4)
In Excel, you need to enter the values for h and c, or reference cells containing the values to make the calculation work.
This evaluates as 6.678354E-11 to 6 d.p. This is well within the range of experimentally derived values. The table below summarises some of the quoted values from the Gravitational Constant Wikipedia Page.
|Source||Value of G|
|Torsion Balance Experiment||6.67384(80)×10−11|
|Cold Atom Interferometry||6.693(34)×10−11|
|Improved Cold Atom Interferometry||G= 6.67191(99)×10−11|
More interestingly, as an algebraic expression it can be subtituted for G in other equations.
As with many things in life the invention of this expression was a bit of a surprise. I was thinking about how energy travelling in straight lines could become bent round and locked into a box. The equation E=hc/lambda was one of my equations but I was also thinking about h/c. I considered that I had heard about there being a mystery as to why gravity was so much weaker than electromagnetism by a factor of about 10e-40 so I did the following sums as show in the excel excerpt pictured below:-
As the result at step 3 looked familiar I just played with square roots of numbers I knew and very quickly found that I was looking at sqrt(3)/3 which I guess just stuck in my my head from 3 phase electrical power calculations I did at university. Finding such a close geometrical tie-in seemed an unlikely coincidence, so I thought I may be onto something useful. I tidied up the equation and went on to explore it further. I used a similar method of comparison of values to get my expression for h in terms of c.