Your argument is logical in the sense that it is logical to present illogical arguments to perpetuate conversation and learning.
That's an opinion that has no demonstration.
I know. I try to be cautious about statements like that- because I truly can't tell if you are being clever and sarcastic, teaching through counterexample, or simply incorrect. If you are being sarcastic, a little hint would help. If teaching through counterexample, you could also say so.
However, if you simply have an incorrect idea it's the responsibility of the community to critique
your the idea and teach you the correct idea, as the truth
is good.
If something is said to exist then we must be able to perceive it in some way. If we can't perceive it we can't say it exists.
Plenty of things exist that we cannot directly perceive, although with inference and our imaginations we can determine they
probably do exist.
Assuming smooth time (evidenced by Pi found in nature-smoothness of EM, gravitational fields), there are an infinite amount of different states between t=1 and t=2 with just 2 particles traveling in relation to one another (interacting through gravity alone). Assuming smooth time, we can't count the number of states between t=1 and t=2, but each state is real.
This is only a model of reality. It is a mathematical construct.
There are many models of reality which have varying accuracy at predicting reality. If a system predicts things that happen in reality (such as QED), one can effectively say that if the system is smooth, reality itself is smooth.
In fact, the idea of the graininess (non-smoothness) of spacetime is a proposed "mathematical construct". There is (AFAIK) no evidence that spacetime is grainy- the mathematical constructs which would indicate that space is even slightly grainy have all failed to make accurate predictions, and the
INTEGRAL observations of distant
gamma ray bursts have not detected any granularity.
http://www.esa.int/Our_Activities/Space_Science/Integral_challenges_physics_beyond_Einstein
Another "mathematical construct" describes spacetime as smooth. This one is called
general relativity.
So the mathematical constructs that you so readily dismiss as "only models" describe both the hypothetical finite state reality and the actual smooth reality. Guess what- reality has aspects of both.
We cannot assume smooth time. We cannot assume such a thing as infinite states.
Yeah. You're supposed to infer the existence of both via your experience of reality.
Inference is not
assumption. Your inference is supposed to encompass inferring that
we have a collective experience of reality as well as personal experience of reality.
What you are talking about is imaginary not real.
It is both. The problem is that you appear to believe certain
real components are entirely imaginary, and don't understand how the imaginary components relate to reality.