I understand that you are just trying to understand and not being argumentative..
Yes, you are very much correct to state that one (time) cannot exist without the other (frequency). They are DIRECTLY related to each other and one is the EXACT inverse of the other. So, it is a very specific, clear and direct relationship between the two..
Yes, a change in one part of the formula changes the other part of the formula AND that change in one is the exact inverse change on the other since one = 1 / the other..
Yes, ALL frequencies change in the same relationship to time since one = 1 / the other..
You say, "but the change occurs only because the unit of measurement(time) has changed". NO, it could also be the exact opposite of that! In other words, the change could also occur ONLY because the unit of measurement (frequency) has changed..
This is actually critical to understand what I am trying to say. You are, obviously thinking that the unit of time is more important than the unit of frequency, but if one takles the "exact opposite" view that the unit of frequency is MORE important, then time becomes the inverse of it..
This is what I am saying when I suggest that there is a significant difference when one is thinking in the time domain vs. in the frequency domain..
You say, "this change doesn't produce an inverse". YES it does, since one is the exact inverse of the other! 1 over anything is the exact inverse of the other. Why is it that you dispute such an obvious and clear relationship!?
You finally say "I'm having trouble understanding the illusion part. An illusion is a false impression or appearance. Neither time or frequency appear to be a false impression"...
On the contrary! Time appears real to usand frequency doesn't! We can actually see and sense the seconds go by with our 5 senses, like, for example, when the ball goes down at time square at the end of the year.
Essentially, all that we see is one very specific dimension, the physical dimension, therefore, time seems very real to us. If we could actually go into and directly sense other frequency dimensions, then time would NO LONGER seem real to us..
What I am saying here also is that frequency actually does NOT look real to us in this dimension! Like we cannot see and sense all of the other frequencies that are all around us, at least not directly with our basic 5 senses..
The only thing that our basic 5 senses can deal with is the physical dimension which, IMHO, is ONLY a very limited set of frequencies and yet, many people still question whether or not this matter that we can see and touch is or is not actually just a group of frequencies!!!
Nevertheless as one goes deeper and deeper into what matter really is one finds out that ultimately it is all waves at different frequencies interacting with each other...
Note that there is a lot of free space also as we go deeper and deeper into the building blocks of matter. Essentially, one is just going higher an higher in frequency as one goes more and more into inner space and lower and lower in frequency as one goes out to outer space..
For example, an atom still has a nucleous (like a star), then a bunch of free space and finally some electrons (like planets) going around it with more free space between the various electron orbits...
In summary, time looks very real to us and frequency doesn't when in true reality I claim that the opposite is what actually is the truth..
Talk about the truth!!!