The Schrodinger Equation is a law of motion and a Quantum Field Theory, applicable whether or not any life form of any type exists or not, whether to apply the theory or make any observations; or, more generally, to acquire empirical data. That is my thesis. Existence exists, in other words. Hard stop.
Let me show how this applies to a simple (quantum) system with two possible results. The Schrodinger cat is a nice simple example since the empirical data, if performed, consists of seeing if the cat is alive and moving.
It is a Quantum System since unambiguously, whether the cat dies or not is determined by the quantum decay of a radioactive isotope. When the atoms emit the (radioactive) energy particles is (probabilistically) determined in an orderly way by Quantum Field Theory. At least, that is the best theory and math that we have so far.
The initial condition at T (time) = zero is that cat is alive and in the box. We turn on the experiment and the cat can now be either alive or dead at any time T greater than zero, say T = T1, where T1 is greater than but not equal to zero.
At T = T1, the cat is either alive or dead but the quantum system does not uniquely time-evolve into just one of the cat states. The quantum interactions that lead to the decay of the radioactive isotopes could have emitted a high energy particle at time T1 or it might not have. Both could have been caused.
But as I have written elsewhere, God creates order by loading the dice. There is an objective chance that, between time 0 and T1, a high energy particle was emitted (activating the hammer and breaking open the poison canister). That chance -- or probability -- is determined by the nature of the quantum field interactions that cause the radioactive matter to decay.
The Schrodinger equation describes that interaction, thru the Hamiltonian Operator H(t) used in the Schrodinger equation, which is a function of the potential energy induced by the nuclear forces in the atoms.
Of course, humans have to test whether this theory actually describes Reality, which is where a Theorist then populates his theoretical world with people using measuring instruments to see what the cat is doing. But this procedure is not necessary to have a Reality. It is only necessary to test the theory, since it has to make predictions which can be validated or not.
QED.
Proving the Relativistic Energy-Momentum relation, the hard way and the easier way.
This adds the proof for the relativistic mass effects from motion, proving that gravity causes it.
Two reference frames in motions are not symmetrical. A system at rest on the surface of a planet moves faster in time than a moving system. This is not the case using just Special Relativity. This is proven just using the gravitational metric field in General Relativity.
