A different point of view...
©Copyright Andrew R. Hall Abstract Inventions 2015-2019. All rights reserved.
Newton = Einstein . Planck
"a", the number at the centre of the Universe. This is part of a significant upgrade to this site with the formulae the "a" allows.
The Hubble constant. The Hubble constant may not mean an expanding universe.
A more accurate value for G. A prediction of the value of Newton's Gravitational Constant.
Speed of light from geometry. A calculation of the speed of light and the impedance of free space from geometry.
All the time in the Universe. A formula for the age of the universe in terms of h and c.
A prediction of an improved value for Newton's gravitational constant.
Since I published my original value for G on this website according to the 2015 formula Gh, I have had very little feedback. I am fully aware that there is an apparent problem with the units of the equation from the point of view of dimensional analysis. However, the magnitude of the equation was close enough to be of practical utility, and the formula is simple, so I explored it further. As of Christmas this year I am in a position where I have significantly improved on my original estimate and backed it off with a number of other calculations.
Therefore, I can provide the following equation for G.
The Universal Keystone Equation 2017
This equation calculates a value within the error limits of certainty proposed by NIST and CODATA but also provides a prediciton of a further 5 digits of accuracy
GH = 6.67434912 (+/-1) e-11
Should anyone be interested or have need to do very accurate calculations involving G I have at least another 3 or 4 digits of accuracy beyond what is quoted above. Please get in touch. The uncertainty quoted here arises from possible innacuracy in the defined value of c and the declared value of h. Revised more accurate predicted values for h and c are available too.
The Universal Keystone Equation
On this day, 2nd September 2015, I formally publish a relationship which may, in future, come to be regarded as a law of science.
This is, to my knowledge, the first theoretical calculation of G, Newton's universal constant of gravitation, which has only been determined by experiment since it was published over 300 years ago. I have used G subscript H to indicate that the value of G has been determined from the UKE (Universal Keystone Equation).
It is certainly a scientific curiosity and worthy of consideration.
I have chosen to name the equation “The Universal Keystone Equation” because;
in providing an algebraic relationship between c, G and h, it provides a theoretical centre piece that connects other existing theories; it connects quantum theory, the theory of relativity and Newton's law of universal gravitation, and provides the possibility of unlocking mankind’s efforts to understand the overarching principles of the universe around us.