Why does Newton's law of gravitiation look the way it does? Why is the Gravitiational Consntant this specific value? Why do Maxwell's Equations look the way they do? Why is it that abstract quantities we make up such as mass, charge, displacement, time etc... could be put into useful formula that accurately predict phenomena in the physical world?
I am aware that physical laws are merely abstractions, but the mathematical correspondance between many physical quantities we define is deduced almost purely emperically i.e. is not abstractly defined by us as human observers. Let me emphasise that this is not necessarily the case with all laws, for example Newton's Second Law "F=ma," where we define the force to be the product of mass and acceleration, there is nothing about the law that is "emperically deduced." It is purely a definition. However, the Second Law of Thermodynamics, Faraday's Law and Special Relativity are just a few examples of where we deduce "mathematically meaningful correspondance," purely due to emperical observation.
Why is that so? Why does our universe seem to exhibit mathematically significant correspondance? Please keep in mind that I am referring to emperically deduced laws of physics, not quantities we define.
