Unifying gravity with the electrostatic forces: a new theory of quantum gravity (no mistakes) (original) (raw)
The aim if this research is to use the ratio between the electrostatic forces and gravity to essentially create a time-dependent wave equation that can be applied to entities larger than those found in the realms of quantum mechanics. It will attempt to show how this ratio can be applied to the atomic and subatomic and as such yield statistical models for the wavefunctions of electrons and scale these minute entities up into the scales of general relativity thereby showing the quantum origins of the force of gravity. The paper treats gravity as arising from the electrostatic forces; this point is the axiom, if you will, upon which the rest of the theory is based. I will introduce new concepts, such as that of a primary and secondary electron densities; the secondary density being analogous to the gravitational field. Given that, in this model electrons appear in any given position for periods of time very close to the Planck time, and that this holds for all electrons, one of the predictions of this theory is that an electron can appear for one of these very brief period of time within the first electron shell of an atom passing within range of the gravitational field of an object and so exert a force of attraction over the protons in the atoms of that object without violating the exclusion principle. 1. Defining primary and secondary electron densities. In the case of atoms the primary electron density is the point around an atom where electron(s) are at their highest degree of concentration – for a hydrogen atom in it's ground state this is the Bohr radius [1], for most other atoms this radius can be considered the Van der Waal radius [2], and it is the Van der Waal radius that will be used interchangeably with the term 'circumference' when talking about how the ideas of a primary and secondary electron density apply to an atom. So these primary and secondary densities can be defined mathematically as being components of the electron volume probability density symbolized as í µí¼ (í µí±) ! meaning that: í µí¼(í µí±) ! = í µí¼ ! + í µí¼ ! (í µí±í µí±. 1) And that each of the resultant densities can be defined in the following ways: For the primary density:
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