Non-Measurability Theory
Abstract
First, we generalize measure theory by establishing measures on all sets. Secondly, we take two properties of dark energy as the principle of the theory, one is that dark energy has the property of a non-measurable set, and the other is that all matter and fields are excitation of dark energy. We do deductive reasoning on the basis of these two principles, and the first conclusion is that there is non-measurable matter, and we provide evidence for the existence of such matter. According to the principles, We propose a theoretical framework that may provide a unified approach to a range of outstanding problems in physics. We can get that all geometric quantities in de Sitter space are interval-valued. Therefore , we can introduce quantum intertextuality into the theory of gravity and geometry.Finally,We put forward several falsifiable theoretical predictions, in particular the unilateral gravitational effect of non-measurable matter, which encompasses the violation of the weak equivalence principle for that matter.
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