Theoretical Analysis On Leaning Tower Experiment Of Quantum Waves

In this paper,the universality of free fall of quantum wave in gravitation is proposed,and the leaning tower experiment of quantum waves is tentatively set up to test it.The evolution equation of effective energy-momentum tensor of quantum waves,being observables and serving as the “quantum trajectory” of quantum waves in gravitational field,has been systematically deduced,which can be used to analyze what kinds of gravitation fields should be chosen in the leaning tower experiment of quantum waves.In the weak-field approximation,the conclusion is reached that in the setting of general gravitational fields and initial wave functions,the universality of free fall of quantum waves is to break down.With the Schwarzschild solution taken,we calculate evolution equations of effective energy-momentum tensor of three different fields,scalar,vector and spinor fields in gravitation and their differences.In so doing,we predict the universality of free fall of these three different quantum waves is invalid in this special case.In this work,a nonlocal test of the interaction of gravitation and matter has been proposed,and the framework of theoretical analysis of subsequent concrete experimental designs built up,which makes practical experiment foreseeable.And all this would surely boost our understanding of quantum mechanics,general relativity and their relationship.