Logical Analysis of Some Physical Problems based on Dimensional Relationships

• 1、Kunming Institute of Physics, Kunming 650223

Abstract：Mach number is a dimensionless number. Based on the reciprocal of Mach number, the mathematical formula of mass decreasing with the increase of speed is given; according to the mass speed relation in the special relativity, the mass increases with the increase of speed, and the two contradict each other. Newton's second law of motion is derived from the basic dimensional relation. The logical basis of Newton's second law of motion is also contradictory to that of the mass speed relation of special relativity. Based on vector analysis, the generalized Maxwell's equations in mathematical meaning are derived. The special case of these equations is the well known Maxwell's equations in physical meaning, which is the basis of electromagnetic theory. In addition, any speed can satisfy the wave equation. By solving Maxwell's equations, it is proved that the light speed can satisfy the wave equation, and the derived conclusion is that light is a wave; the light speed can also satisfy the non wave equation and the conclusion derived from this is that light is not a wave, which contradicts each other. The principle of uncertainty and the concept of matter wave, both of them are related to Planck's constant, play a fundamental role in quantum mechanics. Through qualitative analysis and algebraic analysis of the dimensional relationship of Planck's constant, it is pointed out that the uncertainty principle is not unique. The principle of uncertainty is contradictory to the concept of matter wave.

Keywords： Mass Speed Relation Newton's Second Law of Motion Maxwell's Equations Wave Equation Uncertainty Principle Matter Wave