Newton’s and Einstein’s Gravity in a New Perspective for Planck Masses and Smaller Sized Objects

Abstract

Here we derive Newton's and Einstein's gravitational results for any mass less than or equal to a Planck mass. All of the new formulas presented in this paper give the same numerical output as the traditional formulas. However, they have been rewritten in a way that gives a new perspective on the formulas when working with gravity at the level of the subatomic world. To rewrite the well-known formulas in this way could make it easier to understand the strengths and weaknesses in Newton's and Einstein's gravitation formulas at the subatomic scale, potentially opening them up for new important interpretations and extensions. For example, we suggest that the speed of gravity equal to that of light is actually embedded and hidden inside of Newton's gravitational formula.

Finding the Planck Length Independent of Newton's Gravitational Constant and the Planck Constant: The Compton Clock Model of Matter

“…Haug has, in a series of papers [11][12][13], suggested that Newton's gravitational constant is a composite constant of the form…”

Better Quantum Mechanics ? Thoughts on a New Definition of Momentum That Makes Physics Simpler and More Consistent

“…− mc (5) and when v << c, this can be very well approximated by the first term of a Taylor series expansion…”

“…We claim that this will also hold for photons. The key is to combine it with Haug's maximum velocity [3][4][5][6][7] of matter vmax = c 1 −…”

Better Quantum Mechanics ? Thoughts on a New&nbsp;Definition of Momentum That Makes Physics Simpler and More Consistent

“…We claim that this will also hold for photons. The key is to combine it with Haug's maximum velocity [10,[12][13][14][15] of matter vmax = c 1 − l 2 p λ 2 . As discussed in previous papers, in the special case of the Planck mass particle, the maximum velocity is zero vmax = c 1 − l 2 p l 2 p = 0 (9) This sounds absurd, but in our view it represents the collision point between two photons.…”