地壳受力的向量场及奇点的存在性

Existence of singular point and vector fields for the force of crust

在地壳的每一点,由于受力定义了整个地壳上的向量场,然后利用同胚,将其转化为球面上的自映射,并根据球面的欧拉示性数等于2,说明该自映射至少有一个不动点,即向量场至少有一个奇点.这样,从理论上解释了地震、海啸、火山等自然现象发生的必然性.

Vector field of the whole crust was defined by the loading state of every point on the crust. Then, by using homeomorphism, we change it into self-maps on a sphere. According to the theorem Euler characteristic is equal to 2 on the sphere, it is show that this maps has at least one fixed point, that is to say the vector field has at least one singular point. So from this paper, we can draw earthquake, tsunami, fiery hill and so on are natural phenomena in theory.