Hi Angel,
Indeed this is a problem around singularities and Planck scale. I think that's why 0 dimensionality is a problem for any information including mass to exist at. So skipping over this such as my Fibonacci theory suggests resolved it.
No information sits there but it does exist as a driving force to recycle information back into Hawking Radiation.
Best wishes,
Antony
Hello Antony,
Your essay is quite intriguing in so far as it attempts to take number relations which are seen to have an actual correspondence in nature, into the more abstract areas of "conservation of information" and the make up of a black-hole. A challenging exercise which should pay off in a discrete universe. I feel I should not comment further without your permission because the Fibonacci sequence can be easily overlaid on Hierarchical Space-Time without resort to "fewer then three dimensions" or "negative dimensions"; I suspect you see this possibility. I also note some interesting comments posted on your essay. Dr. Klingman's position that "transfer of energy" is fundamental to the nature of information is beyond question, but I would say "exchange of energy" allows us to define the relationship between "observer", "observation" and that which is "observed", but then exchange of energy isn't always apparent. John Merryman's insistence that "time is an effect of action" is also fundamental, but I would say that time is observed, and that makes time an effect driven by the exchange of energy, i.e. an exchange of measurements. These factors may help your thinking with respect to entropy and the second law of thermodynamics as they apply to your conception.
One way or the other, well done!
Regards.
Zoran.
I enjoyed your essay Anthony.
It was fun to read and engaging. I think you were a bit imprecise in some of your Physics, or lack a fuller understanding for a more detailed description, but it was a nice job overall. The journey down the Black Hole was great up to a point, but what goes on once the event horizon is crossed could be a little different from what you describe. However; I'm not going to jump in and check. Besides; if I did (and somehow survived!) I could never tell you what I found.
But then again; Fibonacci continues... So maybe my tale would too.
All the Best,
Jonathan
Hello Zoran,
Thanks for your comments.
Best wishes for the contest,
Antony
Thanks for your comments Jonathan,
Glad you enjoyed it. I'd opt for my description needing to be more detailed rather than imprecise. Obviously we can't say what happens inside a Black Hole. However, we can extrapolate these types of observation/being observed pathways. Good point though.
I realise the mention of spaghettification past the event horizon isn't always the case - sometimes this happens outside the black hole. The point isn't this effect, but the way all pathways eventually tend towards 1-dimensionality - or at least hinted at by extrapolation as said.
I make this point, because for example, the Big Bang is an extrapolation too. We can never measure, but we have other data which tells us.
If I have indeed been imprecise, please let me know where, so I can either clarify things, or re-assess the theory.
Best wishes,
Antony
Dear Antony,
Thanks for posting comments in I to the bit to the it to the bit to the I.. I have ready your essay and liked the way you have interpreted Fibonacci series application on the "relative" reality.
I would like to convey a simple truth that singularity is not only a relative infinity or zero, but absolute equality of everything. Absolute truth is that there is only singularity everywhere and all the relativity is an illusion. This is the absolute mathematical truth of zero = I = infinity. There is only I or singularity in the universe. I creates (Generates), sustains (Orders) and Destroys (Dismantles) everything. I is GOD.
Love,
Sridattadev.
Dear Sridattadev,
I have also found that 0 can display infinite characteristics. I agree that zero/singularity such as that we envisage at the start of time, is still mathematically conserved.
Good points and thanks for reading and commenting too.
Best wishes,
Antony
Hi Zoran,
A singularity surely has fewer than 3-dimensions doesn't it? Also, the 2 and 1 dimensionality I spoke of, was with regard to information process and pathways tending away from 3 towards zero. I found that there are definite separate points where information should only exchange at Fibonacci numbers of dimensions.
The negative dimensionality explains (-1) negative energy, hence particles being ejected via Hawking Radiation.
-3 dimensionality explains what happens to the Universe as the Black Hole grows - it loses some curved space-time or shrinks - it gains some space. I.e. it balances perfectly. Dimensionality is conserved.
Best wishes,
Antony
Dear Antony,
I was playing with Fibonacci series this evening while sitting in my backyard and came across two other series of numbers. I will put down how I arrived at them.
I wrote the Fibonacci series on a paper up to 12th degree on either side of 0 as follows
-144 89 -55 34 -21 13 -8 5 -3 2 -1 1 0 1 1 2 3 5 8 13 21 34 55 89 144
I virtually folded the paper in my mind at 0 so that the numbers on either side overlapped and added them to each other where they aligned.
I got a new series
0 2 0 4 0 10 0 26 0 68 0 178 0 466 0 1220 0 3194
ignoring the 0's it read as 0 2 4 10 26 68 178 466 ....
Soon I realized that this can be defined by an equation
Sn = 2 * Sn-1 sigma (I=2 to n) Sn-i
with the seeds of
S0 = 0
S1 = 2
S2 = 2 * S1 S0 = 2 * 2 0 = 4
S3 = 2 * S2 S1 S0 = 2* 4 2 0 = 10
S4 = 2 * S3 S2 S1 S0 = 2 * 10 4 2 0 = 26
I also found that division of the two successive numbers soon converges on 2.618 which happens to be the square of golden ratio 1.618.
Now I went back to the original Fibonacci series and virtually folded it at 0 in my mind again and this time I subtracted the numbers where they aligned and I got another series as
0 2 0 6 0 16 0 42 0 110 0 288
Ignoring the 0's this read as 0 2 6 16 42 110 288 and I realized that this can be defined as an equation as well
Sn = 3 * Sn-1 - Sn-2
with S0 = 0 and S1 = 2 as the seeds
S2 = 3 * S1 - S0 = 3 * 2 - 0 = 6
S3 = 3 * S2 - S1 = 3 * 6 - 2 = 16
S4 = 3 * S3 - S2 = 3 * 16 - 6 = 42
S5 = 3 * S4 - S3 = 3 * 42 - 16 = 110
I also found that division of the two successive numbers in this series also soon converges on 2.618 which happens to be the square of golden ratio 1.618.
Finally I did another interesting thing, merged these two series and got another one which read as
First series --->0 2 0 4 0 10 0 26 0 68 0 178 0 466
Second Series ---> 0 2 0 6 0 16 0 42 0 110 0 288 0
Merged series -->0 2 2 4 6 10 16 26 42 68 110 178 288 466
I realized that the merged series is a new Fibonacci type series with a different second seed of 2 instead of 1. Even this series successive number division yields the golden ratio of 1.618 eventually.
Now I asked my self if we can have 2 as a second seed and produce another series which yields the same golden ratio why not 3 and soon found that
0 3 3 6 9 15 24 39 63 102 .... is also a series that also converges on the golden ratio 1.618.
0 4 4 8 12 20 32 52 84 136...... is also a series that also converges on the golden ratio 1.618
So any Fibonacci type series with 0 as the first seed and I ( from 1 to infinity) as the second seed will have the successive numbers ratio in them converging on the golden ratio of 1.618. This again proves the point that I, the singularity, is equally the same everywhere. Mathematics is pointing to the absoluteness of I in Fibonacci too.
Love,
Sridattadev.
Hi Sridattadev,
It is incredible how the sequence yields the golden ratio - yes. You show it well.
Added that no matter how we run with the series it always comes out is important. The fact that we start with 0 and 1 is fine, as it's the purest form, but this ties in nicely with Wheeler's Bit and It information being yes/no or nothing and something, where 1 is just a single option of many - up to infinity as an alternative to 0 (including -ve numbers).
This surely does tell us that Fibonacci and the Golden Ratio are built into nature, and that "I" in your case sits well too.
Cheers,
Antony
Dear Antony and All,
I have generalized the findings and calling it iSeries and is the universal series, Fibonacci series is a subset of this universal series.
I give you all a cosmological iSeries which spans the entire numerical spectrum from -infinity through 0 to +infinity and the simple principle underlying it is sum of any two consecutive numbers (any real numbers) is the next number in the series. 0 is the base seed and i can be any seed between 0 and infinity.
iSeries always yields two sub semi series, each of which has 0 as a base seed and 2i as the first seed.
One of the sub series is always defined by the equation
Sn = 2 * Sn-1 + Sigma (i=2 to n) Sn-i
where S0 = 0 and S1 = 2 * i
the second sub series is always defined by the equation
Sn = 3 * Sn-1 -Sn-2
where S0 = 0 and S1 = 2 * i
Division of consecutive numbers in each of these subseries always eventually converges on 2.618 which is the Square of 1.618.
Union of these series always yields another series which is just a new iSeries of a 2i first seed and can be defined by the universal equation
Sn = Sn-1 + Sn-2
where S0 = 0 and S1 = 2*i
Division of consecutive numbers in the merged series always eventually converges on 1.618 which happens to be the golden ratio "Phi".
Fibonacci series is just a subset of the iSeries where the first seed or S1 =1.
Examples
starting iSeries governed by Sn = Sn-1 + Sn-2
where i = 0.5, S0 = 0 and S1 = 0.5
-27.5 17 -10.5 6.5 -4 2.5 -1.5 1 -.5 .5 0 .5 .5 1 1.5 2.5 4 6.5 10.5 17 27.5
Sub series governed by Sn = 2 * Sn-1 + Sigma (i=2 to n) Sn-i
where S0 = 0 and S1 = 2i = 1
0 1 2 5 13 34 ...
Sub series governed by Sn = 3 * Sn-1 - Sn-2
where S0 = 0 and S1 = 2i = 1
0 1 3 8 21 55 ...
Merged series governed by Sn = Sn-1 + Sn-2 where S0 = 0 and S1 = 2i = 1
0 1 1 2 3 5 8 13 21 34 55 ...... (Fibonacci series is a subset of iSeries)
The above equations hold true for any value of i, again confirming the singularity of i.
Love,
Sridattadev.
"This surely does tell us that Fibonacci and the Golden Ratio are built into nature, and that "I" in your case sits well too."
Dear Antony: surely 2000%
solely two examples:
The Monster Group:
Oder Monster Group
[math]2^{46}\cdot3^{20}\cdot5^{9}\cdot7^{6}\cdot11^{2}\cdot13^{3}\cdot17\cdot19\cdot23\cdot29\cdot31\cdot41\cdot47\cdot59\cdot71=O(Monster\: G)
[/math]
sum of squares all primes divisors of O(M_G) ,with power > 1
2^2 + 3^2 + 5^2 + 7^2 + 11^2 + 13^2 = 377 = 14Th Fibonacci number = Kissing number (8d)= (240 ) + 137 ( 137 = int(Alpha^-1) )
Sum of all primes divisors of O(M_G) :
2+3+5+7+11+13+17+19+23+29+31+41+47+59+71= 14Th Fibonacci number + 1
http://mathworld.wolfram.com/MonsterGroup.html
2) example:
Relative planetary distances average to Phi
The average of the mean orbital distances of each successive planet in relation to the one before it approximates phi:
Planet: Mean distance Relative
in million Mean Distance with Mercury = 1
kilometers for
NASA 1.00000
Mercury 57.91
Venus 108.21 1.86859
Earth 149.60 1.38250
Mars 227.92 1.52353
Ceres 413.79 1.81552
Jupiter 778.57 1.88154
Saturn 1,433.53 1.84123
Uranus 2,872.46 2.00377
Neptune 4,495.06 1.56488
Pluto 5,869.66 1.30580
Total= 16.18736
Average = 1.61874
Phi= 1.61803398...
Degree of variance = (0.00043)
"The shape of the Universe itself is a dodecahedron based on Phi
New findings in 2003 based on the study of data from NASA's Wilkinson Microwave Anisotropy Probe (WMAP) on cosmic background radiation reveal that the universe is finite and shaped like a dodecahedron, a geometric shape based on pentagons, which are based on phi. The the Universe page for more."
http://www.goldennumber.net/solar-system/
Regards
Dear All,
As per Antony's suggestion, I searched google to see how Fibonacci type series can be used to explain Quantum Mechanics and General Relativity and found an interesting article.
Now that I split the Fibonacci series in to two semi series, seems like each of the sub semi series corresponds to QM and GR in some way yet to be fully explained and together they could explain the Quantum Gravity. Seems like this duality is a commonality in nature once relativity takes effect or a series is kicked off. I can draw and analogy and say that this dual series with in the "iSeries" is like the double helix of our DNA. The only commonality between the two semi series of any iSeries is at the base seed 0 and first seed 1, which are the like bits in our binary system.
I have put forth the absolute truth in the Theory of everything that universe is an "iSphere" and we humans are capable of perceiving the 4 dimensional 3Sphere aspect of the universe and described it with an equation of S=BM^2.
I have also conveyed the absolute mathematical truth of zero = I = infinity and proved the same using the newly found "iSeries" which is a super set of Fibonacci series.
All this started with a simple question, who am I?
I am drawn out of my self or singularity or i in to existence.
I super positioned my self or I to be me.
I am human and I is GOD.
Love,
Sridattadev.
Hello Antony
Well written, and very readable. I think it would be nice to be able to show how the universe might have an action that produces this sequence as a model of a physical reality. In some ways, a universe that adds aspects of its history to evolve is what we find in our own universe. How this occurs is considered in my Armchair Universe.
Best wishes
Stephen Anastasi
Thanks Sridattev - Antony
Hello Sridattadev,
I've replied over on your thread. Great way to show the relationship applies at all scales. Very Quantum Gravity like, so especially nice that it fits, as I am working it around a Black Hole at the Foundation of the series.
Cheers,
Antony
Hello Angel,
More ways to exemplify the series in Nature. Thanks for these! I'll read through thoroughly later - I look forward to it!
Best wishes,
Antony
Hello Stephen,
Thanks for the kind comments. I'll take another look at your essay in this context. Thanks for answering my question over on your thread.
I do indeed have a way to show how the Universe produces this sequence!
Essentially it is 0 decaying to -1+1 (in the sequence) then asymmetry occurs forming particles of mass.
The action is a quantum fluctuation of nothingness which increases entropy.
The beauty is that we conserve symmetry overall, but create asymmetry too!
My theory away from the essay explains more, but this essay entry hints at many more answers that can arise from this approach.
I'd suggest that instead of thinking of it as an action, it is the Universe doing what comes naturally - increase in entropy- even when we consider nothingness or a zero entropy pre-Big Bang singularity.
Best wishes,
Antony