Agent Smith
Full Member
- Joined
- Oct 18, 2023
- Messages
- 339
Suppose in a hypothetical universe consisting of 2 objects, A and B, I discover the ratio [imath]\text{Mass(A) : Mass(B)} \approx n\phi [/imath], where [imath]\phi[/imath] is our Divina proportione or golden ratio and n is a whole number > 0.
Should I consider this "discovery" some kinda hidden mathematical truth ... do I have warrant to believe that a great secret has been revealed to me?
I ask because there are other constants too e.g. Pythagoras' constant ([imath]p = \sqrt 2[/imath]) and we also have [imath]\pi[/imath].
Say the ratio I calculated above = [imath]94[/imath] = [imath]\text{Mass(A) : Mass(B)}[/imath]. But [imath]2\phi^8 \approx 30\pi \approx 47p^2 = 94[/imath]
From my preliminary investigations, given [imath]M[/imath] is some physical measurement and [imath]K[/imath] is any math/physical constant, and [imath]p[/imath] is some exponent and [imath]n[/imath] is some integer ([imath]n \ne 0[/imath]) and we have the expression [imath]M \approx nK^p[/imath], there's always some integer [imath]n[/imath] and some integer [imath]p[/imath], for any and every constant [imath]K[/imath] that satisfies the equation [imath]M \approx nK^p[/imath]. And just like that the finding that [imath]\text{Mass(A) : Mass(B)} = 94 \approx 2\phi^8[/imath] is trivialized (it carries no special meaning).
Should I consider this "discovery" some kinda hidden mathematical truth ... do I have warrant to believe that a great secret has been revealed to me?
I ask because there are other constants too e.g. Pythagoras' constant ([imath]p = \sqrt 2[/imath]) and we also have [imath]\pi[/imath].
Say the ratio I calculated above = [imath]94[/imath] = [imath]\text{Mass(A) : Mass(B)}[/imath]. But [imath]2\phi^8 \approx 30\pi \approx 47p^2 = 94[/imath]
From my preliminary investigations, given [imath]M[/imath] is some physical measurement and [imath]K[/imath] is any math/physical constant, and [imath]p[/imath] is some exponent and [imath]n[/imath] is some integer ([imath]n \ne 0[/imath]) and we have the expression [imath]M \approx nK^p[/imath], there's always some integer [imath]n[/imath] and some integer [imath]p[/imath], for any and every constant [imath]K[/imath] that satisfies the equation [imath]M \approx nK^p[/imath]. And just like that the finding that [imath]\text{Mass(A) : Mass(B)} = 94 \approx 2\phi^8[/imath] is trivialized (it carries no special meaning).
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