Phase transition of spacetime

In this work, we find both black holes and particle can be described by the complex Kerr-Newman metric and converted to each other through a phase transition. After the phase transition point at Planck energy, the particle’s imaginary radii are realized and converted into a black hole. In 4-D spacetime, the 3-D imaginary space is compacted to its 1-D temporal dimension. In the hidden 3-D imaginary space, a Dirac electron appears as an equivalent Schwarzschild black hole with a mass of J/m (spin angular momentum per unit mass), which reveals the geometric origin of wave nature and spin in quantum mechanics. This work provides strong evidence for ER=EPR.