A new mathematical method to describe the logic of the natural physical world

• Published in: Mathematical methods in the applied sciences 2023-04, Vol.46 (6), p.7060-7066
• Main Authors: Ding, Xiaotong, Ding, Guanghong
• Format: Article
• Language: English
• Subjects: absolute accurate mathematics; Algorithms; complex system; Complex systems; Errors; Fluid flow; macro‐ and micro‐physical world; Navier-Stokes equations; Parameters; Physical properties; Quantum mechanics; relative accurate physics; Schrodinger equation; Schrodinger equations
• ISSN: 0170-4214; 1099-1476
• DOI: 10.1002/mma.8956

To model an objective real world with absolute accurate mathematics is the symbol of modern science. However, in real life, the physical parameters could not be measured in infinite high accuracy, which makes the mathematical equations ineffective in the circumstance of turbulence and chaos. As the macro‐ and micro‐physical world could not be unified, it is believed that the laws of macro‐ and micro‐physical world are not the same. This paper proposes a new way of illustrating physical parameters, using the combination of mean ± error instead of a single numeric parameter for illustration, and establishes the corresponding algorithm and equations for means and errors, respectively. The results show that the error part of the Navier–Stokes equations in macro‐physical fluid mechanical world is just Schrodinger equation of micro‐physical quantum mechanical world. Therefore, a new method of researching complex system is proposed, and this method establishes the relationship between macro‐Newtown mechanics and micro‐quantum mechanics, so that in the macro world, the mean will follow the Navier–Stokes equations, and the error will follow the Schrodinger equations.