Reference: Essays on Substance
General Relativity & Quantum Mechanics
General Relativity (GR) and Quantum Mechanics (QM) are two fundamental theories in physics that describe the universe, but they have key disagreements. These disagreements come from the mathematical models used to support either theory and its focus. For example, GR views the space-time structure on a cosmic scale as continuous; whereas, QM looks at the same space-time structure on an atomic scale as discrete.
The space-time structure is a dimensional structure, and the dimensions, in reality, must belong to something. That something is substance, which is matter, energy or aether. There is no empty space. When GR talks about the curvature of space-time, it is the curvature of actual substance. It is the curvature of matter, energy and aether. We can see the curvature of matter in moons, planets and stars; but the curvature of energy and aether is not visible to us.
QM supposes that this space-time or substance is of a discrete nature ad infinitum, but the substance is not discrete even at the cosmic level. There is a continuation from matter to energy to aether. There appears to be a boundary between a planet and surrounding space; but, factually, there is a continuity across that boundary. As we examine that boundary closely, it comes down to the boundary between the atom and its surrounding energy, or between the nuclear region and the surrounding electronic region, or among nucleons and electrons. There is no clear-cut break or discontinuity in reality. Any discontinuity is only mathematical.
So, the disagreements between GR and QM come down to mathematics only. The mathematical models that are being used for GR and QM are inconsistent with each other. According to The Scientific Method, these inconsistencies send us back to the drawing board. According to Mathematics and Physics, we need to resolve the inconsistencies in mathematical logic with live logic.
This next step is to look more closely at the mathematical models being used for GR and QM.
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