• ### P-NP Complete Problem and Theory of Relativity and Its Application

Wang Yiping1,2

1. Ganzhou Geriatric Technology Workers Association, Zhejiang Province, Zhejiang 324000.
2. Qian Jiang Institute of Mathematics and Power Engineering, Zhejiang 324000, China.

Abstract: The concept of abstraction point group is put forward, and it is defined that point group is an infinite combination of infinite elements (value, function, space, prime, big data). It has continuous and discontinuous, uniform and non-uniform, symmetrical and asymmetrical, stochastic and uncertain, sparse and non-sparse, and discrete state sets and entangled state sets. It consists of arbitrary high-power regularization polynomials. Based on the principle of relativity, it establishes a dimensionless quantum logarithm equation, which has three normative invariances and level limits of unity, reciprocity, and isomorphism. Its polynomial isomorphism length is a span of computeable time {2}KN. That is, it is proved that the NP=P complete problem and the B-H (Bemanh-Hartmanis) conjecture are established. Application example: Statistical calculation of discrete states and mathematical analysis of entangled states {NP} are all arithmetic reduction operations of the linear equation {P}.

Keywords:point group, computing time, relativistic structure (circle logarithm), discrete statistics, entanglement analysis.