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Originally Posted by Eratosthenes
Generally Classical mechanics is way more complicated mathematically than Quantum Mechanics. The issue with Quantum mechanics is its counter intuitive physical implications.
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You obviously know very little about the mathematics of either subject.
At what level of Quantum Mechanics does your comparison with Classical Mechanics end?
If you include relativistic Quantum mechanics or Quantum Field Theory in the picture there is absolutely no doubt the mathematics is vastly more complicated than Classical Mechanics.
Given the mathematics of Classical Mechanics is contained within Quantum Mechanics through Hamiltonian physics (advanced Classical Mechanics) the comparison is pointless anyway.
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The field of Physics is very fortunate in that it deals with the simplest aspects of reality. Physics is by far the most idealistic and simplistic of scientific endeavors. Physicist often tend to hide behind mathematical axioms and dogmatic rhetoric which isn't necessarily a negative thing - but it does result in a very simplistic and easy scientific discipline. The jump in complexity from Physics to Chemistry is huge - and an equally huge jump occurs when one moves into Biology (and forget about trying to understand Psychology or economics - these are the realms where educated guess work becomes equally important as theory)
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Physicists use mathematical models, mathematicians use mathematics.
You fail to see the distinction. Mathematical models by their very nature are far less rigorous.
Einstein summarized it perfectly when he stated the left hand side of his field equations were made out of stone but the right hand side out of straw.
The left hand side is based on Riemannian geometry, the right hand side on brilliant physical insights that could not be derived through axiomatic mathematics.
The idea that physics is "simple" because the mathematical axioms automatically take care of it is so patently wrong as is demonstrated by Ed Witten.
Witten is the only physicist to have won the Fields Medal in Mathematics has found many concepts in Quantum Field Theory which were originally developed as
ad hoc ideas can be proven mathematically.
In this case the physics preceded the mathematics not the other way around.
If physics "deals with the simplest aspects of reality" then why is Quantum Mechanics counterintuitive?
A contradiction in terms.