The discussion centers on the observation that classical mechanics and quantum mechanics are predominantly described by first and second-order differential equations. It highlights the stability concerns associated with higher-order derivatives, suggesting that systems governed by such equations may not support stable solutions. The anthropic principle is introduced as a rationale for the prevalence of second-order laws in the universe, implying that intelligent life is more likely to emerge in environments governed by these laws. The provided Quora links offer additional insights into the implications of stability in physical models.
PREREQUISITESPhysicists, mathematicians, and students interested in the foundations of mechanics and the philosophical implications of physical laws. This discussion is particularly relevant for those exploring the relationship between mathematics and the natural world.
morenopo2012 said:It´s not a technical question, is about why the classic mechanics and even quantum mechanics equations are first or second order? ¿Exist any model with up order derivates?
If the statements there about stability are correct (pity there are no examples given) then we can apply the anthropic principle to argue that an intelligent life form is only likely to arise in a universe with second order physical laws.Ray Vickson said:See
https://www.quora.com/Why-dont-differential-equations-of-physics-go-beyond-the-second-order
for some useful results/discussions.