Wave function of string and membrane and spacetime geometry

During the last twenty years, we witnessed the rapid development [1,2] of superstring theory which is trying to become a theory of everything. Due to the first and second revolutions of the superstring, although a lot of miraculous characteristics of the superstring such as string duality [3,4,5] are found, we still do not know the first law of the superstring. In the ordinary string theory, the string is firstly regarded as a classical object, and the quantum property is obtained by using the quantization method. Here a wave function description of the string (and membrane) is proposed in a general and concise way. The string (and membrane) is regarded as an inner structure of the membrane (and string) wave function, and is found to be relevant closely to the properties of bosons, fermions and spacetime. Through the investigation of the differential equation of the wave functions of membranes and strings, the Klein-Gordon equation for bosons and Dirac equation for fermions are deduced in a nature way. E-mail: [email protected]