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The quantization element concept of which infinite pointwise is mechanics element and space-time geometry possesses random “asymmetry and nonuniformity” and other factors is proposed; combination of gauge field and relativistic structure (circle logarithm) is proposed, which includes gravitational field, electromagnetic field, nuclear field, thermodynamic field and photon field to constitute pointwise quantum eleven-dimensional space and the first and second gauge invariance and build relativistic structure (circle logarithm), realizing “exact solution within [0-1/2-1] ^[0/1/2-1] under the topological variation rule without specific contents”. It is provided with a superiority of conciseness, self-consistency and zero error, and is widely applicable to physics, astronomy and mechanics fields

Gauge field Pointwise quantization General relativity Relativistic structure (circle logarithm) Limit topological phase transition