Why can Nature can be modeled with only the 1st and 2nd derivatives?

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Classical mechanics and quantum mechanics are primarily modeled using first and second-order differential equations due to their stability and predictability. Higher-order derivatives can lead to complex behaviors that are less manageable and potentially unstable. The anthropic principle suggests that intelligent life is more likely to emerge in a universe governed by second-order laws, as these provide a stable framework for physical interactions. The discussion raises questions about the existence of models with higher-order derivatives and their implications for the nature of reality. Overall, the preference for first and second-order equations reflects a balance between complexity and stability in physical laws.
morenopo2012
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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?
 
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