Can consonance be continued by making a fundamentals harmonics, the following fundamental?
Providing an example of your process would eliminate possible confusion about what the resulting set of tones should be. But, following the process as written, our series of tones should be something like...
C C G C E that is fundamental
C and the first harmonics up to
E. You wording seems to mean use
E as the next fundamentals...
G G D G B
E E B E G#
If you put that together, you get
C D E G G# B.
If we continue with the original
C fundamental's harmonics, we eventually get to
D as the next pitch classes...
Bb Bb F Bb D are the harmonics which gives us an additional
Bb to add...
D D A D F#
C D E F F# G G# A Bb B
if I'm composing a melody... I could travel through the melody in perfect consonance...
The problem isn't necessarily the resulting set of pitches, but you haven't said anything about the sequence of the pitches for your melody. You could make a melody from that set of pitches comprised of either consonant or dissonant intervals.
If you mean to somehow have the melody's pitches follow an order derived from the overtone series, and you follow a logical process, the result would simply be a single melodic possibility. This is what is most unclear in your description. Are you trying to generate a scale, a melody, and theory of consonance?
I've been studying music theory from a physics standpoint and want validation on my supposed theories... create a scale in perfect progressive consonance... if I'm composing a melody... Can consonance be continued...
I think you mean to say hypothesis not theory. You're posing a question not a statement. But either way, I think you are proposing that this procedure will create consonant melodies. Or, maybe you a proposing a general theory of consonance.
What you have written isn't validation for anything like that.
You need to write more. It needs to be more clearly written. And, I think most importantly, you need to give examples of such a theory in practice.