Consider my post on Relativity
The legs sway on walking. Hour glass. The hands sway on walking. Hour glass. The hour glass is only compounded when we think of Writing to earn money
I feel my explanation of hour glass was 43 percent correct. In 1,2,3,4,5,9,10 the explanation for 6 in special theory of relativity was correct. 8 seemed wrong. And how does 7 crop up seemed to be there.(General theory of relativity for 1,2,3,4,5,9,10 was however correct).
The issue of 7 and 8 in special theory of relativity can be felt all right ✅ when we consider the hour glass itself. An object with sealed ends and an opening.
So explanation of hour glass may be treated 99.99 percent correct.
And that is great economy!!
Also consider the following based on 1,2,3,4,5,9,10.
There are some expressions inspired from hour glass phenomenon.
I do feel 1,2,3,4,5,9,10 for general theory and special theory of relativity. My current explanation is strong.
ReplyDeleteGeneral theory of relativity. 1,2,3,4,5 and 6,7,8,9,10.
When sand empties from 1,2,3,4,5 chamber. Mind says 10 reached. And 9, 10 perhaps. And no more. And mind also says 1,2,3,4,5 in first chamber. So 1,2,3,4,5,9,10.
Special theory of relativity.1,2,3,4,5 and 2,4,6,8,10.
There are two chambers and double. Here mind says 2,4 of second chamber already there in first chamber. So 1,2,3,4,5 and 6,8,10.
Now hour glass has an opening. So a split.
6 is suitable because 6 becomes 5. 8 becomes 9. 1,2,3,4,5,9,10.
7 is suitable because 7 forces 6 to 5 and 8 to 9. 1,2,3,4,5,9,10.
8 is suitable because 8 becomes 9. And 6 becomes 5.1,2,3,4,5,9,10.
So it is always 1,2,3,4,5,9,10 in an hour glass. Whether general or special theory of relativity.
What if split in 1,2,3,4,5 chamber in special theory of relativity?
ReplyDeleteI do not have an explanation.
An hour glass is about perception. What you want to believe?
I may be given 75 percent marks.
ReplyDeleteSpecial theory of relativity is mostly general theory of relativity except horizontal. And I have considered it.
ReplyDeleteMind thinks 1,2,3,4,5. And 2,4,6,8,10.
And 1,2,3,4,5. And 6,8,10. Mind thinks.
Mind also thinks that two chambers can't be distinguished. You do not know which is 1,2,3,4,5 and which is 6,8,10.
So complete explanation given.
There is symmetry in my explanation. Sand and empty space on one hand. 1,2,3,4,5 and 9,10 on the other. The symmetry is there in general theory of relativity and special theory of relativity.
ReplyDeleteSymmetry
ReplyDeleteGeneral theory of relativity.
If 1,2,3,4,5,9,10 for sand with chamber1 and chamber2; then there is 1,2,3,4,5,9,10 for emptiness with chamber2 and chamber1.
Special theory of relativity
Same logic works. Thing is 1,2,3,4,5 and 2,4,6,8,10 is here considered. And then 1,2,3,4,5 and 6,8,10. This gives 1,2,3,4,5,9,10 for sand with chamber1 and chamber2. And 1,2,3,4,5,9,10 for emptiness with chamber2 and chamber1.
This finishes the topic.
Am I correct in using n(n-1) instead of 2n(2n-1) in the golden ratio equation?
ReplyDeleteNo.
I am sorry if I have hurt my readers.
See Maybe it is correct
If you look at this way then n(n-1) can be used.
ReplyDeleteInstead of two hands consider one hand. Then 9,10 or (2n-1)(2n) is indeed 4,5 or (n-1)n.
Then it explains why is one hand dominant.
Golden ratio explains why one hand is dominant than the other. Is it not great then ?
Hour glass also talks of infinity. That is tilted up and down in a gravity field can be continued for ever. As the events add up to infinity infinite sigma series is implied. Also since human always think as 1,2,3,4,5,9,10 it means that sigma series may have a convergent value.
ReplyDeleteAre these not amazing?
Readers respond. Please participate 🙏.
We do have 1,2,3,4,5 (n! or (n-1)!). And 9,10 (t and (t-1) (or) t and (1-t)).
ReplyDelete1,2,3,4,5 can keep on increasing. i.e in (n-1)! n keeps increasing. However t and (1-t) are just two numbers.
How to compensate? t^(x-1) and (1-t)^(y-1). This suits us also because in the second chamber of the hour glass area is considered. x axis and y axis.
These are nothing but gamma function and beta function.
So hour glass model says about gamma function and beta functions too
1,2,3,5,6 and 1,2,3,4,5,9,10 are very similar. Both of them say about n! and 2n(2n-1).
ReplyDeleteThere is however one crucial thing. 1,2,3,5,6 tells about just more than one hand. While 1,2,3,4,5,9,10 talks precisely of two hands.
This is a nature plan. How nature has planned and has given symmetry.
It is indeed a wonder how nature and hour glass can be explained by 1,2,3,5,6 and 1,2,3,4,5,9,10. Nature seem to be saying you are just going to extend to 6 and be symmetrical about it. I shall make it more symmetrical by making symmetrical two !!
This is about numbers and symmetry.
Golden ratio comes a little later.
Well the Greeks did 3,4,5 which is a right triangle. And of course followed by golden ratio, 1/n, calculus, limits and what not.
ReplyDeleteBut Indians did 1,2,3 (three numbers).
Why is then my convergence test and consecutive numbers theory getting acceptance?
Why is then my convergence test and consecutive numbers theory not getting acceptance?
DeleteIn fact 1,2,3,4 too talks about n! and 2n(2n-1). Only thing is they are all one after the other. No gaps.
ReplyDeleteSince 1,2,3,4; 1,2,3,5,6 and 1,2,3,4,5,9,10 are all hour glass models: they necessitate the need for more gamma functions.
ReplyDeleteTherefore we have further expressions of gamma functions. Euler and Weirstrass gamma functions are therefore important.
It is indeed a learning how the mathematical greats treat addition or subtraction of 1.
ReplyDeleteSee the approach of the greats.
(1-t)
(x-1)
(1+z/n)
Euler was truly a great guy. I just can't help admiring him. He gave us Euler totient functions and one guy Schneider made an expression of golden ratio using Euler totient function!!
Remarkable to say the least !!
It is all pretty clear to me. 1, gamma functions, beta functions, e, i and everything.
ReplyDeleteCrystal clear.
If left alone, I think I must go forward in prime numbers.
We do say 1. Fine.
ReplyDeleteBut cannot say x. Because x has a spin. And x^2 does not. This is a pretty important concept.
And gives rise to i, the complex number.
The just above paragraph is important when we talk of an hour glass. Or a taal.
ReplyDeletex into 1 as such is meaningless as we have considered all the numbers.
So essentially x then have to be the other axis. Is it not the case?
We considered 1 by taking into account all the other numbers of the universe. Then if we talk x, then it has to be the other axis. Right?
x has a spin is a truth. Also x^2 has an area and has no spin is also a truth.
ReplyDeleteOnly when both the statements are considered does the concept of timing (hour glass) is appreciated
What will happen if one considers only one statement x has a spin, but x^2 has an area is not considered?
ReplyDeleteThe combination function will not hold true
The hour glass model so closely resembles n!/(r!(n-r)!)i.e. comb(n,r). Plus you have gamma functions, beta functions and lot many other fundamentals.
ReplyDeleteI wish all the best to followers of this idea.
I believe this model of mine is as good as an Euler model !! Yoooooo Hooooo !!
ReplyDelete