EQUATIONS.
Steve,
People seem to think that fundamental physics should be the search for the ultimate laws of nature, i.e. the search for a special set of equations, that perhaps could be experimentally validated. Unfortunately, these people have seemingly never noticed that a set of equations does not make a viable moving system. A mathematical system is NOT all about the equations.
In one sense, the equations are almost irrelevant. The important aspects of a mathematical system are: How does the system know itself? and: How does the system move itself?
How come a mathematical system knows itself? Because, in a mathematical system, only some equations (relationships between categories), but not others, are true; and only some numbers (that apply to the categories), but not others, are currently true. This knowledge aspect of a system can’t be represented in terms of relationships, categories and numbers because the knowledge is OF the relationships, categories and numbers. The issue is WHAT knows, and the answer is clearly that small parts of the system know.
How come a mathematical system can move itself? How, exactly, does number movement work? Clearly, purely due to mathematical relationship, relationships between categories do change the numbers, but only if other numbers have changed. So, mathematical equations/ relationships are not the actual aspects of the mathematical system that is moving the system. It is clearly number jumps that are moving the system. The issue is WHAT is jumping the numbers, and the answer is clearly that small parts of the system are jumping their own numbers in response to knowledge of situations encountered.