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Memory and Performance: The Role of Abstraction in Athletic Success
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[QUOTE="Cave Diver, post: 6848248, member: 732532"] Off the top of my head, Noether's theorem does not explain conservation of momentum. It just shows how the conservation of momentum is reflected on the symmetry properties of the Lagrangian that describes the dynamics of the system. We don't know why momentum is conserved. It just happens universally and so we make sure to incorporate it in our best theories. We can show that under certain conditions (e.g., no particle momentum is lost to momentum of electromagnetic fields), conservation of momentum is equivalent to action-reaction. That again that does not prove action-reaction. We just trade one mystery for another. We have no clue whatsoever why when two balls collide head-on, the ratio of their accelerations is a constant which is exactly what action-reaction says (force/cause is not a primitive or necessary concept in physics). Similarly, we have no clue why two forces (defined as F=ma) add like vectors, no clue why inertial reference systems, where the laws of physics take their simplest form, exist, no clue why the twin "paradox" takes place. (We can only show that it is mathematically equivalent to the assumption that the speed of light is constant but we don't know why the speed of light is constant.). Science does not explain anything. It only provides logically consistent, economical descriptions of our sense data that lead to predictions and applications. [/QUOTE]
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Memory and Performance: The Role of Abstraction in Athletic Success
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