Abstract
This author further develops the theory of quantum gravity with Hamilton's tensor equation so as to achieve the compatibility between quantum and space-time. He also reveals the underlying new geometric structure behind it, which is the geometry of energy-time or matter-space that can be regarded as the further development of Einstein's space-time geometry. On this basis, this author probes into such topics that include CPT symmetry, new transistor, new superconductor, antigravity, and new law of gravity creating something out of nothing in the universe.
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