The postulate of vacuum as the medium of matter waves and the extension of the equivalence principle

The vacuum polarization described in quantum electrodynamics inspires the reconstruction of the relationship between a vacuum and a particle. It is reasonable to amalgamate vacuum and matter into one object: the metric space. Thus, the motion of matter can be described as the propagation of the state of space in a vacuum, the vacuum being the medium through which the matter wave propagates. The consequence of unifying a particle and vacuum with metric space is that all the properties of the particle should be described as the intrinsic properties of the space. By defining the affine curvature tensor symmetric part (electric field analogue) and an antisymmetric part (magnetic field analogue, zero divergence), the energy density is proposed to be proportional to the Kretschmann scalar, 𝑢 = 𝑐ℏ𝑅𝑖𝑗𝑘𝑙 𝑅𝑖𝑗𝑘𝑙/2, and the momentum similar to electromagnetic momentum density 𝜀0𝐸 × 𝐵; a metric with a curvature proportional to 𝑚/𝑟2 is thus obtained. The equivalence of the torsion of the affine connection space with the angular momentum of matter is then discussed. The quantized spin angular momentum eigenstate in quantum mechanics is related to a connected torsional manifold. In the case of ℏ/2 spin, it corresponds to a Möbius circle. It is remarkable that the two classified elementary particles, bosons and fermions, correspond to the two types of topological manifolds, orientable and nonorientable manifolds. The reinterpreted concept of matter, in the form of curved space, gives rise to the idea of absolute space. The time dilation observed in the Global Positioning System, as predicted by special relativity and depending on the velocity in relation to the “universal frame," provides evidence of absolute space.