Quantized Application of Space Mechanics

Aiming at the difficulty in unifying gravitational theory and quantum theory, this paper conducts research on gravitational quantization based on Space Mechanics Theory (SMT) and Material Spatial Structure Theory (MSST). This theory postulates that the ultimate elementary constituent of cosmic matter is the indivisible Democriteon (D particle), and the cosmic space is permeated by an aether medium. The squeezing effect exerted by aether on Democriteon particles constitutes the Space-Force, which is equivalent to gravitation. The theory holds that the Newtonian gravitational constant G is a derived quantity dependent on density, while the space mechanics constant μ represents the universal cosmic constant. Energy is essentially aether vibration; matter and waves belong to distinct existential forms without invoking the wave particle duality hypothesis. Using the free particle rotational oscillation energy model constructed by space mechanics combined with black body radiation laws, this paper derives the energy radiation equation for free particles. Numerical comparison shows that the quantum unit M_Z, composed of 〖10〗^28 Democriteon particles, functions to link macroscopic and microscopic constants, yielding the quantum gravitational constant μ_M. Under the equivalence relation 1 C·s=1 J, close correlations exist among the elementary charge e, the reduced Planck constant ħ, and the quantum gravitational constant μ_M: e=μ_M ħ. Substitution into the superconducting magnetic flux quantum formula gives Φ_0 μ_M=π, revealing that magnetic flux quanta and spatial gravitational quanta both originate from the cosmic spatial background field.