Hello Angel,

Thanks for the very kind comments! I'm glad that you, Steve and I (as well as others) are finding common ground in the most fundamental of areas of theory.

Best wishes,

Antony

    Hello again John,

    I've had another look at your essay, I see your point about how historically physics has honed in on a certain perception and I like your description of time.

    I approached observation from a very simple position, which happens to then match up to what we have learned from physics. That's what is nice about the Fibonacci sequence, it isn't individual perception, we know that addition works and we see it all across nature. This is biological and chemical as well as physical.

    Best wishes,

    Antony

    The entropy of a black hole has a direct connection to the Fibonacci sequence, given by the following equation:

    [math]S_{BH}=\pi R^{2}=\frac{A}{4}\Longrightarrow\pi=S_{BH}/R^{2}=4{\displaystyle \sum_{k=1}^{\infty}\arctan(\frac{1}{F_{2k+1}})}[/math]

    The entropy of a black hole has a direct connection to the Fibonacci sequence, given by the following equation.Looking at this equation, it follows immediately that: 1) Increasing the spacetime curvature, given by 1 / R ², then entropy increases. That is the curvature of a surface, involves the strong holographic principle: the information is stored and computed on surfaces. It's no wonder that the Fibonacci sequence, to generate spirals aureas, can describe the behavior of a black hole.A black hole can not contain any singularity, entering the quantization of the gravitational field.The spiral aurea (Fibonnaci) represents exactly one black hole.

    The quantization of space-time, ie: there is a length limit, a mass limit, etc., implies that there is no singularity must occur after a certain length, gravitational repulsion, corresponding to the gravitino of spin 3 / 2

    So the mass of gravitinos have to be very high, but less than the Planck mass

    The imbalance between repulsive gravitational force, within the horizon, and the attractive force, is what generates the Hawking radiation

    RegardsAttachment #1: images.jpeg

    Antony,

    Awesome; compelling, original, insightful, and wonderfully written.

    I'll have a lot more to say on your essay when I get additional bandwidth, but wanted to let you know that I greatly enjoyed it. In my view, certainly one of the most interesting essays I've encountered in this contest so far (and I'll be sure to elaborate on why that is in a future post).

    Chris

      Hon Jia Koh wrote the following in their essay thread:

      Your essay is a refreshing great read. The use of dimension as pathway for information travel at event horizon is inspiring. A missing part of my essay which I wish to discuss more is about how information, matter and energy translate (travel) and develop (change) over spacetime.

      The ability to extend the use of a well-studied area like Fibonacci Sequence to a new horizon is impressive. Mathematics phenomenons have a sublime beauty in manifesting and explaining observable nature that capture the imagination of many great people. Challenging their hidden mysteries and limits could be rewarding and illuminating. From Pythagoras up until before Bernhard Riemann and Einstein, Pythagorean theorem was taken to imply that space was flat as opposed to curved.

      Hello Angel,

      Thanks for this. Some great ideas here! I've also found that the sequence wants to skip past singularity state, and the way you explain Hawing Radiation sounds reasonable too.

      Best wishes,

      Antony

      Hello Chris,

      Thanks for the extremely kind praise. Very much appreciated. I too really enjoyed your essay, which I think deserves to do extremely well in the contest!

      Look forward to further discussion when bandwidth permits ;)

      Best wishes,

      Antony

      Hi Anthony -

      It's very interesting to see the Cosmos expressed in a system based on numbers. You make this approach intriguing even to non-mathematicians. No small accomplishment.

      The 'chicken and egg' relation of It and Bit you describe, echoes my own view of their correlation in a greater energy field.

      I hope you'll be kind enough to read and rate my essay which accounts for many of the phenomena you describe, but more structurally - or in physical terms, if you will.

      All the best,

      John

        Hi John,

        Thanks for reading and the kind comments. That's the beauty of the Fibonacci sequence, not only does it appear everywhere in nature, but it is also simple.

        I'll be reading all remaining essays - about 40 left I think - so I'll make sure yours if next. I will leave a comment over on your thread.

        I too have a theory where there is geometric structure going some way to answering many of the I solved problems in physics, so I think I'll enjoy your work.

        Best wishes,

        Antony

        Dear Vladimir,

        Yours was one of the first I read. Great work! Looks like you're doing very well in the contest. Well done & thanks for reading my essay too.

        Best wishes,

        Antony

        The Higgs Vacuum, the Higgs boson, the seven extra dimensions and the fibonacci serie,limited to the five fibonacci numbers divisor of 240, Kissing number in 8d, and the 240 non zero roots of group E8.

        mh = Higgs boson ; mVH = value of Higgs vacuum ; me = electron mass

        1)

        [math]

        m_{h}=mVH\cdot P(2,l_{7})=126.177\: Gev

        [/math]

        2)

        [math]m_{h}=mVH\cdot\sin^{2}(2\pi/l_{7})\cdot(2/l_{7})[/math]

        3)

        [math]246.221202\, Gev\cdot\sin^{2}(2\pi/l_{7})\cdot(2/l_{7})=126.177\: Gev[/math]

        4)

        [math]l_{7}=3.0579009561..=[(2\cdot(2\pi)^{7})/(16\pi^{3}/15)]^{1/9}[/math]

        5)

        [math]lenght\,7d\, ratio\: to\: l\, Planck=l_{7}[/math]

        6)

        [math]\frac{m_{h}}{m_{e}}=246924

        [/math]

        7)

        [math]1\cdot2\cdot3\cdot5\cdot8=240\;240\pm1=(239,241)\,(twin\, primes)

        [/math]

        8)

        [math](8^{6}-5^{6}-3^{6}-2^{6}-1^{6})+(8^{3}+5^{3}+3^{3}+2^{3}+1^{3})-\sqrt{8^{6}+5^{6}+3^{6}+2^{6}+1^{6}}-1..

        [/math]

        9)

        [math]..-\cos\theta_{GUT}=\frac{m_{h}}{m_{e}}=246924

        [/math]

        10)

        [math]\theta_{GUT}=angle\: unification\, theories\: SU(5)

        [/math]

        Regards for everybody

        Hello Angel,

        This reminds me of some work I carried out around Coxeter and 5-dimensions where the answer was 40 for the kissing number.

        Very impressive way to utilise this scheme!

        Regards,

        Antony

          Angel,

          Does it tell us anything with regard to the Leech Lattice and even higher dimensions than that?

          Best wishes,

          Antony

          Dear Antony: yes are one very clear and exact conections from leech lattice in 24d and the Higgs vacuum value, mVH ( ratio to electron mass. The particle less massive and with electric chargue.And absolutely stable)

          24d= DIM(SU(7))/2= DIM(SU(5))=4d!

          Fn= Fibonacci numbers

          240= lattice 8d

          [math]K(24d)=196560

          [/math]

          [math]

          K(24d)=\exp({4\pi/3 }+8)-\ln({mVH\cdot{}\sqrt[4]{2}\cdot{}\cos({2\pi/20 })/m_e)

          [/math]

          [math]

          20= \sum_{Fn/240}F_n

          [/math]

          Regards

          Thanks Angel,

          Wow! There certainly does seem to be a nice relationship. Even better, because you've predicted the mass of Higg's and if it matches refined data over time, you're onto a winner!

          I wish I could handle mathematics as fluently as you. The links you've shown are strong, certainly don't seem coincidence.

          I used the Koide formula along with the simplex geometries to relate the mass of the proton, neutron and electron from an expected 1/2 value to a result of 0.49999994.

          I like this sort of way numbers relate to the real world!

          Nice work!

          Antony

          Hi Anthony -

          Thanks for stopping by my page and reading my essay. Your kind comments were most appreciated.

          I only wish we could permit ourselves a more detailed analysis of each other's work - but there are so many works to read, and to rate, in order to make the contest as valid as possible for everyone.

          Thanks again, Anthony - and best of luck in the contest!

          John

          Dear Antony I am very interesting in forms of koide formulas, for stong connections to electric chargue, the mass, and the square root of ratios of masses ( implications of existence of imaginary masses non observables)

          Do you like let me read yours papers for this question?

          I put here my paper for the masses of quarks obtained in koide form and solely with the sin and cos of Cabibbo angle. The formulas are very simple and very accurate

          Thanks!!!

          Simple Formulas that Generates the Quarks Masses

          Authors: A. Garcés Doz

          In this paper we present a very simple formulas that generate the quark masses as a very direct functions sine and cosine of the Cabibbo angle. The accuracy of the results are very big in relation to the latest experimental values.

          http://vixra.org/abs/1301.0015

          Dear Angel,

          I'll take a look, and yes I'll post a link too, as soon as I can.

          Best wishes,

          Antony

          Hi Anthony,

          If nothing can escape from behind the event horizon of a black hole, no photons nor gravitons so an outside observer cannot interact with what's inside, then to him all positions within the horizon would be physically identical. Though such a thing is possible in a mathematical space where all points are defined to be identical but for their coordinate numbers, this is impossible in a physical space where different points by definition are different physically, so the diameter of the event horizon cannot be non-zero so a black hole doesn't have an event horizon. I'm afraid that there's something wrong with general relativity, that part of it describes the physics of a fictitious universe (see my post at this thread).

          I do, however, agree with your statement that ''It and Bit appear equally fundamental - a sort of ''chicken and egg'' relationship.''

          The information as embodied in particle properties (which can be thought of as internalized rules of behavior, the expression of laws of physics) in a self-creating universe must be the product of a trial-and-error evolution. If 'its', particles, particle properties must be as much the cause as the effect of their interactions, of a continuous energy/information exchange, then information only can evolve, become information when molded into material particles and tested in actual particle interactions: only such information survives which enables its embodiments to survive, to manifest themselves as real particles. So you cannot have one without the other indeed.

          Best, Anton