New Equivalence Principle Between Dark Matter- Dark Energy And General Matter*

In Einstein’s Field Equation, when gravity bends a spacetime, there is a spring force of the spacetime to balance the gravity. If the gravity is canceled, the curve of the spacetime will be gone back flat by the spring force. The spring force of spacetime is a negative gravity.

When there is a balanced structure between gravity and spring force, there is a new Equivalence Principle.

ma=–kx→k=–m/t²

ma=−m'(x/t²)→ma=−m'a

or

mv²=kx²→mv²=m'v²

∴ m=m'

In here, m’ is gravitational mass, m is elastic mass.

on the other hand,

mv_r0²=kx²

k∝m/x²

v_r0²∝A (constant)

In here, v_r0 is almost the hightest speed of the star around outside of the galaxy.