The Postulate of Vacuum as the Medium of Matter Waves and the Extension of the Equivalence Principle

Zhongfei Mao*

Abstract

The vacuum polarization described in quantum electrodynamics inspires the reconstruction of the relationship between vacuum and 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 intrinsic properties of 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 = 𝑐ℏ𝑅ᵢⱼₖₗ𝑅ᵢⱼₖₗ/2, and the momentum analogous to electromagnetic momentum density 𝜀₀𝐸 × 𝐵. A metric with curvature proportional to 𝑚/𝑟² is thus obtained. The equivalence of the torsion of 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. For ℏ/2 spin, it corresponds to a Möbius circle. It is remarkable that the two classes of elementary particles, bosons and fermions, correspond to orientable and non-orientable topological manifolds, respectively. The reinterpreted concept of matter as curved space leads to the idea of absolute space. Time dilation observed in the Global Positioning System, as predicted by special relativity and dependent on velocity relative to a universal frame, provides evidence supporting absolute space.

Keywords

Vacuum Polarization, Matter Waves, Metric Space, Equivalence Principle, Curved Space, Affine Connection, Torsion, Quantum Spin, Absolute Space

Corresponding Author

Zhongfei Mao, Independent Researcher, China.

Citation

Mao, Z. (2025). The Postulate of Vacuum as the Medium of Matter Waves and the Extension of the Equivalence Principle. Int J Phys Sci Res. 1(1), 01–18.