Why does Newton's law of gravitation look the way it does? Why is the Gravitational Constant 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 correspondence between many physical quantities we define is deduced almost purely empirically 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 "empirically 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 correspondence," purely due to empirical observation.
Why is that so? Why does our universe seem to exhibit mathematically significant correspondence? Please keep in mind that I am referring to empirically deduced laws of physics, not quantities we define.