This paper follows on from earlier papers which eliminated four important constants of nature, Planck’s constant h, the Gravitational constant , Permeability and Boltsmann’s constant by showing, after adjusting misaligned S.I. units, that they are only dimensionless ratios. Shown here is the interpretation of what it means that the relative values in any units of all of the observable set of TAPU parameters can be described simply as powers of the ratio theta = sqrt(2 Pi c/a), where c is the speed of light and a the fine structure constant.
The well-known simple formula for adding velocities relativistically is only a 2-variable version of a far more powerful formula which enables an infinite number of relative velocities, energies or any Planck-limited variables to be totalled. That formula is based on the product of those variables, treated as fields, rather than their addition. The interpretation of the formula is of the comparison of the stretching of the fields in opposite directions versus the total stretching involved.
A consideration of the von Klitzing and Josephson constants is made, showing what their values would be in a system with Planck sized charges and reinterpreting the relationships uncovered. The reinterpretation is based on a dimensional analysis that concludes with the representation of many Planck and fundamental parameters in terms of ratios of only Rk and Kj or only h and c and may enable advances in metrology using the more precisely known values of Rk and Kj.
This paper presents new ways of understanding the relationships between parameters. The novel insights and predictions include: A self-contained and consistent new Planck unit set of maximal sized parameters from which all observed values can be compared and easily combined in equations. A self-contained and consistent new Planck unit set of electron-charge based parameters, some of which are directly observable in experiments. The interpretation of the gravitational constant G as a dimensionless ratio and its relegation from gravitational to permeability use and the elimination of the need to test the equivalence of gravitational and inertial masses. That all parameters can be displayed in terms of only h and c for the Planck maximal parameter set and in terms of only h, c and alpha for the electron-charge based set (other than permeability and permittivity which have G content), and which was previously considered impossible. There exists a new hypothetical dimensional analysis that can be used to describe parameter dimensions and to uncover any law of nature or any universal constants. That all electron charge based Planck parameters can be described solely in terms of ratios of the Rk and Kj, and so will benefit from the precision of measurement of these two parameters. That the experimentally observed value of Rk implies either that the velocity of a current within certain electromagnetic materials could be in excess of light speed, the patterns produced by subluminal physical objects have a maximum velocity of c times twice pi divided by alpha or that such a velocity is required in order to pass through those material. That most electromagnetic parameters can be reinterpreted in terms of mechanical parameters. By adjusting currently misaligned SI units to be self-consistent and consistent with DAPU units, greater clarity will ensue. This is a toolkit for providing a better understanding of the fundamentals of physics.