If you make the following assumptions, you then mathematically derive all natural laws out of these few assumptions (axioms):
Axiom N 1: Time is symmetric (=does not have "marks" on it, nothing depends on position in time). Results in most fundamental of all natural laws - energy conservation law.
Axiom N 2: Space is symmetric (=is not "marked" by special points either - no place in space is different than others). Results in momentum conservation law - second most fundamental law governing all.
Axiom # 5 Motion is symmetric - nothing depends on velocity of motion. Two observers moving versus each other EACH can claim that one is at rest and the OTHER is moving (and vice versa) - it does not matter who claims to be at motion or who claims to be at rest. Whole Special Relativity mathematically follows from this only axiom (with all phenomena like mass increase, space contraction, time dilation, etc.)
Axiom # 7 All particles of the same kind are IDENTICAL. All electrons are the SAME, all protons, etc. are the same. (Basicly this statement is equivalent to the statement that elementary particles have so very few parameters they may differ from each other, that each set (combination) of parameters identify certain kind of particles - electron, neutron, etc.) This axiom results in existence of only 2 distinctive group of particles (fermions and bosons) and this axiom also establishes (strictly) the way they can interact within each group (Bose-Einstein condensate for bosons and Pauli exclusion principle for fermions). First governs all e/m interactions, second governs all chemistry (=life).
So, Harvey, where is "a hand of God" or of any other being in these axioms (assumptions) which we call mathematical symmetries?
By the way, what is God? Can you clarify what you are speaking about? Othervise talk about God (???)does not make any sense AT ALL.