Abstract
In this document an attempt is made to explain the origin of gravity. The basis for the analysis is a merger of Quantum theory and Relativity. Nowhere in the analysis there is any need to deviate from well proven and successful concepts of both theories and rules of calculation, and no exotic new particles will have to be introduced. By doing so it is demonstrated that, next to its local interactions of a multi-particle system, the Schrödinger equation leads to pairs of two and only two members. This solution is used as the invariant term in the “Klein-Gordon” equation which finally leads to gravitational interactions between members of the pairs. With this particular solution for the quantum-mechanical wave function, it is found that gravity is a second order effect operating over a long range. In this document it is tried to give a complete and consistent account of all steps that have been taken in the derivation of the classical Newton’s law. Further, the document emphasizes precise justification of some of the basic assumptions made and how it works out on a cosmological scale. It is also found that the generator of gravity is contributing mass to particles that have gravitational interaction.
Highlights
In our daily life, gravity is experienced everywhere and at all moments
An attempt is made to find an explanation for the gravity law, or Newton’s third law starting from well established and proven theorems: Special Relativity and Quantum Mechanics
These two theories cannot be readily combined, it is possible to use the outcome of quantum mechanical considerations as starting point for further analysis by taking into account the rules of specific relativity
Summary
Gravity is experienced everywhere and at all moments. Without gravity the world as an entity would not exist; the Sun would not shine; water waves would not run; etc. The remarkable thing is that, apparently for more than one reason, particles will be interacting in groups of two and only two and can give rise to gravitational exchange This pair formation is described quantum mechanically. Either starting from the classical Schrödinger equation or the relativistic Einstein energy equation, this latter formulated in a quantum mechanical setting known as the “Klein Gordon” (KG) equation results in the same wave function describing pairs of particles. Since this wave function represents a pair potential, a relativistic mass can be attributed to it which is used in the KG-equation to derive an interaction field between the members that form the ensemble. In the last paragraph all the symbols used will be listed for easy reference
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