Non-measurability theory(2025/3/30)

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 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 second principle, we can solve the cosmological constant problem and the black hole information paradox. 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 get quantum gravity and quantum geometry.