From Quantum Foundations of Quantum Field Theory, String Theory and Quantum Gravity to Dark Matter and Dark Energy

Abstract: We review our recent work on quantum foundations of quantum mechanics, quantum field theory and quantum gravity (formulated as metastring theory) and various implications for the problems of dark matter and dark energy. The first point concerns the new understanding of quantum theory via the concept of quantum (modular) spacetime endowed with manifest non-locality that is consistent with causality. This view implies the consistency of the fundamental length and Lorentz symmetry, based on the principle of relative (observer dependent) locality. The geometry of such quantum spacetime is encoded in the new concept of Born geometry. This in turn leads to a novel understanding of quantum field theory in a manifestly bi-local representation endowed with metaparticle quanta. A fully dynamical quantum spacetime, with a dynamical Born geometry, leads to quantum gravity (a quantum theory of dynamical geometry of quantum non-locality) in the guise of metastring theory. This generic formulation of string theory implies a radiatively stable positive cosmological constant (viewed as a curvature of the dual spacetime) as a model of dark energy in the observed classical spacetime, as well as metaparticle quanta (the zero modes of the metastring) as the natural quanta of dark matter in this approach.