• [deleted]

As a matter of fact I have seen few systems similar to the random graphs that we are taking about. The main reason why I think all the others "appeared" as non-workable is that time in space-time picture really complicated the issue, and rendered it difficult.

Example one:

http://www.fqxi.org/data/essay-contest-files/Shing_Connectivity_1.pdf

Example two:

In LQG paradigm, Smolin has a paper

The Plebanski action extended to a unification of gravity and Yang-Mills theory

http://arxiv.org/abs/0712.0977

says this

"The proposal of matter as the ends of long distance links needs more development."

The reason why my system works (I think), is that I started by saying what elementary elements I can have (for designing the universe) and after identifying them and possible operations using them and on them then I will map them to the physics. And it turned out that only lines constituting particles and their crossing naturally constituted space and time became clear that it is unphysical but represented the change of state. Empty coordinates have no meaning.

My advice is to get rid of time if you want your system to work at a fundamental level.

I will continue on to matrix and necklace later. And Knots.

  • [deleted]

Thanks for the good advice. If I make it in time good, if not I will be just as happy if you win.

  • [deleted]

For the sake of completeness. I must say that time as a fantom as it is, might have some treacherous role under certain conditions. Like Big Bang or the "start" of the universe. But I am not exactly sure at this time.

The idea of wormholes being responsible for particles at each end with charge due to flux lines goes back to Wheeler himself in 1955 http://mediathek.mpiwg-berlin.mpg.de/mediathekPublic/dms/mediathek/pdf/Department1/Quantum-Gravity-Workshop/o1955Geons.pdf

The random graphs can use this idea if you have flux lines running along links. No need for charges then, just gauge fields

Hi Philip,

Now that I'm here and am looking at your essay, I have the following two questions.

1."Acatalepsy . . . in philosophy, is incomprehensibleness, or the impossibility of comprehending or conceiving a thing." (Wiki)

Why do you want to emphasize the present messy state of affairs in physics, when the role of science is to seek transparency and insight? (I do remember what Einstein said about "simplicity".)

2. I found the following summary you give at the end of introduction.

"From layers of quantum uncertainty built upon fundamental information there is hope that spacetime and matter emerge in a natural way."

In my essay I stressed the "unacceptable ambiguity" of the term "information". So how does one understand your one-sentence summary (without going into the technical details), if its first half is quite ambiguous? ;-)

    • [deleted]

    Yes, good old GEON. I have looked at it before but I have not had the time to analyze it and match it to my construction. What I have shown were just examples. There is another interesting one that may also be of an interest to you. Notice fig.5.

    The Dirac - Kerr-Newman electron.

    http://arxiv.org/PS_cache/hep-th/pdf/0507/0507109v4.pdf

    The author has even a recent paper that revolves around the same idea but adds superstring theory to it. And Twisters.

    Complex Structure of the Four-Dimensional Kerr

    Geometry: Stringy System, Kerr Theorem, and Calabi-Yau Twofold

    http://arxiv.org/pdf/1211.6021.pdf

    He even revives GEON in this paper (section 4)

    Gravity vs. Quantum theory: Is electron really

    pointlike?

    http://arxiv.org/pdf/1112.0225.pdf

    As a matter of fact my theory is nothing but a generalization of Buffon's needle which connects to other main concepts used in physics, but I am not exactly sure of what the connection exactly is.

    http://en.wikipedia.org/wiki/Buffon's_needle

    http://en.wikipedia.org/wiki/Integral_geometry

    http://en.wikipedia.org/wiki/Integral_transform

    http://en.wikipedia.org/wiki/Radon_transform

    http://en.wikipedia.org/wiki/Penrose_transform

    http://en.wikipedia.org/wiki/Twistor_theory

    • [deleted]

    In your matrix construction couldn't you assume that there are only two particles and see what happens then. Maybe you have to do some other simplifying assumptions.

    I saw your section on Ynagians, necklaces and all that. I agree that this is crucial maths. The question is how to transfer these ideas to string theory and find Nima's T-Theory. I think the Yangians need to be replaced by Necklace Lie Algebras which have a richer structure. An interesting thing about the Polylogarithms is that they are generated recursively using multiple integrations. You can also use iterated integration on necklace algebras as a mapping so that is what I am looking at.

    I think there is one big symmetry that covers them all including dualities, so your ideas connecting Yangians to dualities also makes sense.

    I like the Buffon's needle puzzle. The key observation is that the expected number of crossings when you drop a curve of any shape depends only on its length. So you replace the needle with a circle whose circumference is the length of the needle. The solution is then easy. Sometimes generalising a problem to something that looks much harder actually leads to the solution.

    Hi Lev,

    I dont think thst definition of Acatalepsy reflects what the ancient philosophers were saying, although it is hard to be sure because there are no primary records. The definition I prefer is the one I gave at the top of the comments

    "noun Philosophy. An ancient Skeptical view that no more than probable knowledge is available to human beings."

    One form of Acatalepsy would be Bayesian logic, but I think you have to go further and accept that even the probabilities should be treated as uncertain, In the physics context we use quantum waver functions instead of probabilities. This does not mean that the world is incomprehensible, just that nothing about the world is certain.

    I dont think the state of physics is messy, but perhaps you should give a specific example of what you mean before I can elaborate.

    I dont regard simplicity as a hard principle, whatever Einstein may have said. Simplicity has its role but the only hard principles are logical self-consistency and consistency with observation.

    I agree that "information" is an ambiguous term. If I could write a 20 page essay I might have said more about what I think of as information, but I had to chose to concentrate on matters where I think I have something original to say. I am using a very basic idea of information. It is just what can be said about the state of the universe. I am glad that others like you have tackled other aspects of the question.

    Hi Philip,

    Why do you say that large number type arguments don't really make sense anymore ?

    I think that they can explain a lot of things, in particular the cosmological constant problem. If you link the holographic principal with an information theory, then you can find that the number of bits on the surface of the information sphere (considering that the Universe is a growing sphere of information) is equal to N=4PiR2=10122 (with R being the radius of the sphere in Planck units) which is exactly the order of magnitude found in the cosmological constant problem.

    Patrick

    Dear Philip,

    I love your view that (r)evolution in physics is due to attempts to bring consistency between apparently disparate domains. You go very smoothly from presenting the history of some ideas in physics, from a fresh viewpoint, to your own research on necklace Lie algebras and strings of qubits. Very well done!

    Best regards,

    Cristi Stoica

      Christi, thank you,

      Nima Arkani-Hamed makes a strong case for how consistency strongly constrains theories at https://www.youtube.com/watch?v=rKvflWg95hs (long interview)

      However, I still think that free creative speculation can produce interesting ideas too.

      • [deleted]

      1-Even in theory, a Black Hole can only be indirectly 'observed'. The indirect effects observed include pedestrian causes, less than convincing evidence of a BH.

      2-Science is not just internal metaphysical consistency, but also the external consistency of physical evidence...if we are talking physics, not math.

      3-"... it(HP) is based on consistency reasoning from the need to bring together the laws of gravitation, quantum theory and thermodynamics."

      This need for unification of these physical laws ... is it motivated by natural discoveries, or simplification for human convenience - an offshoot of Occam's Razor?

      4-"Energy conservation in general relativity is real, exact, non-trivial and important."

      Only in linearized GR is there energy conservation. But linearized GR is not exactly GR.

      5-The GR field equations express a continuous feed back between mass motion and 'curvature'.. which causes non-linearity ...which causes failure of superposition and energy conservation .... and of Noether's theorems

      6-"Some physicists like to say that this makes energy a non-local concept in general relativity ...."

      If energy is non-local, then it violates the causality principle.... without the CP, predictive science is a guessing game.

      7-"...we never really measure real numbers. We just answer yes/no questions. Nature's information comes in bits..."

      ...but the number of binary questions we ask for completeness may be infinite.

      8-"Should we base our theoretical foundation on basic material constructs such as particles and space-time or do these things emerge from the realm of pure information?"

      The latter..... specifically, the immaterial substance of the free and bound states of aether.

      9-"We must 'Translate the quantum versions of string theory and of Einstein's geometrodynamics from the language of the continuum to the language of bits'".

      Rather, to the language of 'its', from the abstract world of math models to the testable world of real objects. What good are the bits, if tests yield no valid hits?

        Robert thank you for your points. I will answer them from my own view but I realise you have a different view and I hope you will submit an essay to elaborate it.

        """1-Even in theory, a Black Hole can only be indirectly 'observed'. The indirect effects observed include pedestrian causes, less than convincing evidence of a BH."""

        --- Anything can only be indirectly observed. Black holes are surrounded by a gravitational field and it's effects on in-falling matter are distinctly observable and characteristic. Nothing is certain and all astronomical observations require delicate measurements but the evidence for black holes is as good as anything we have in cosmology.

        ============================================================

        """2-Science is not just internal metaphysical consistency, but also the external consistency of physical evidence...if we are talking physics, not math."""

        --- I agree and have made the same point myself many times. There are very few observations we have that tell us anything about the combination of gravity and quantum theory. They include

        (a) the observation that the universe began from a hot dense state.

        (b) the observation from Fermi that photons experience no dispersion even from the Planck scale.

        These do not impose strong constraints but there is plenty of reason to hope that further observations will be possible.

        ============================================================

        """3-"... it(HP) is based on consistency reasoning from the need to bring together the laws of gravitation, quantum theory and thermodynamics."

        This need for unification of these physical laws ... is it motivated by natural discoveries, or simplification for human convenience - an offshoot of Occam's Razor?"""

        --- The laws of gravity, quantum mechanics and thermodynamics apply everywhere so there must be some consistent way to unify them. This will not necessarily be a simplification or a human convenience. For my take on Occam's razor see http://physicsfaq.co.uk/Faq/General/occam.html

        ============================================================

        """4-"Energy conservation in general relativity is real, exact, non-trivial and important."

        Only in linearized GR is there energy conservation. But linearized GR is not exactly GR."""

        --- On the contrary, energy conservation in the linearised gravity approximation is problematical. You need the full non-linear theory of GR to understand energy conservation

        ============================================================

        """5-The GR field equations express a continuous feed back between mass motion and 'curvature'.. which causes non-linearity ...which causes failure of superposition and energy conservation .... and of Noether's theorems"""

        --- Energy conservation and Noether's theorem do not require linearity. I dont know where you got that idea from. If you can give me a reference I can locate the error in the reasoning.

        ============================================================

        """6-"Some physicists like to say that this makes energy a non-local concept in general relativity ...."

        If energy is non-local, then it violates the causality principle.... without the CP, predictive science is a guessing game. """"

        --- "non-local" is how "some physicists" describe it, not me. I have provided the the equation for the correct local covariant formulation of energy current.

        Besides, non-locality does not violate the causality principle. More besides I do not agree that causality is an essential feature of predictive science. Causality is emergent as I stated in this essay and explained at greater length in last years essay.

        ============================================================

        """7-"...we never really measure real numbers. We just answer yes/no questions. Nature's information comes in bits..."

        ...but the number of binary questions we ask for completeness may be infinite."""

        --- Which is why we can never achieve completeness, and we do not require it.

        ============================================================

        """8-"Should we base our theoretical foundation on basic material constructs such as particles and space-time or do these things emerge from the realm of pure information?"

        The latter..... specifically, the immaterial substance of the free and bound states of aether."""

        --- I hope you will submit an essay that explains what you mean by that because it is not part of any theory I am familiar with

        ============================================================

        """9-"We must 'Translate the quantum versions of string theory and of Einstein's geometrodynamics from the language of the continuum to the language of bits'".

        Rather, to the language of 'its', from the abstract world of math models to the testable world of real objects. What good are the bits, if tests yield no valid hits? """

        --- Maths ceases to be abstract when applied to physics. Of course we need to make experimental tests but predictions will only be possible when a complete theory of quantum gravity has been formulated. I don't claim to have a complete theory. I am just explaining some aspects of how such a complete theory could work. Quantum gravity is a hard problem and it is not reasonable to expect complete solutions including solid testable predictions all at once.

        ============================================================

        Philip,

        I enjoyed your guided tour through what what normally appears to me as a scary bestiary of mathematical and physical theories. Your calm and assured explanations were thought-provoking and went to the heart of the matter, avoiding the alarming technicalities on which a novice inevitably stumbles. Popularizers of physics often avoid such details, but one is never sure if they have really mastered the subjects they describe, as you obviously have done over your many years of research.

        I liked the way you stressed the criterion of consistency as a measure the truth of a combination of theories. That made me think that other combinations of the same theories might lead to better ones - in other words theories are somehow dispensable if better ones come along, a point I stressed in my own essay here.

        The other point of interest in your paper for me was the way you stressed the fundamental importance of the Holographic Principle as an all-encompassing idea in physics. In Figure 4 of my paper in this contest I sketched my idea of precisely why the Principle works at least in my Beautiful Universe BU model. In that model the Universe is essentially an ordered lattice of nodes that can be represented as a vector field of angular momenta. In any chosen volume in this lattice the resultant of the 3D vector matrix within appears as the vectors tessellating the surface. I know this is very simplistic, but who knows whether the many dimensions and symmetries of the theories you juggle so adeptly may one day be distilled into such a simple theory. For example if the concept flexible space-time (as dimensions) is banished from physics (as it could) general relativity becomes much simpler as just a density field in an absolute universe as described in (BU). Ditto for probability, which emerges from the theory as a simple consequence of the underlying order.

        I enjoyed the way you described necklace algebras. It reminded me of a simple arithmetical idea I dreamed up a long time ago (one I am sure someone else had fully developed it independently). I call them Breughel numbers after the painter who made the print showing a fish eating a fish eating a fish, ad nauseum. Basically, it is a way to break a number into nested fractions:

        8 = (8/7)*(7/6)*(6/5)*(5/4)*(4/3)*(3/2)*(2/1)

        n= (n/(n-1))*((n-1)/(n-2))* . . . * ((n-n+2)/1)

        Do Necklace algebras work along some such a principle?

        Good luck in your research, and I am sure I speak for many independent researchers like me when I thank you for founding viXra . Keep viXra alive and more power to you.

        Vladimir

        Vladimir, thank you for your comments

        The type of product you are using is mathematically interesting. If you take the product over a power of all prime numbers instead of numbers from 1 to seven you get a product definition for the zeta function which is related to the algebras I am using. In maths everything is connected,

        Phil

          Philip

          Thanks now I will have to do some studying to understand what you said - but glad my little idea made sense. Yes math is connected. It is also almost magical in that it can take many forms that describe the same physics.

          Vladimir

          8 days later

          Dear Sir,

          Uncertainty is inherent in Nature because of inter-connectedness and interdependence of everything with everything else. When we try to measure soothing, the result of measurement will not only rest on our operation, but also the environment in which we operate. Even our measuring device and its functioning will be subject to the density fluctuations in the environment that will change the income pulse from the outgoing pulse. Heisenberg was right that "everything observed is a selection from a plentitude of possibilities and a limitation on what is possible in the future". But his logic and the mathematical format of the uncertainty principle: ε(q)η(p) ≥ h/4π are wrong.

          The inequality: ε(q)η(p) ≥ h/4π or as it is commonly written: δx. δp ≥ ħ permits simultaneous determination of position along x-axis and momentum along the y-axis; i.e., δx. δpy = 0. Hence the statement that position and momentum cannot be measured simultaneously is not universally valid. Further, position has fixed coordinates and the axes are fixed arbitrarily from the origin. Position along x-axis and momentum along y-axis can only be related with reference to a fixed origin (0, 0). If one has a non-zero value, the other has indeterminate (or relatively zero) value (if it has position say x = 5 and y = 7, then it implies that it has zero momentum with reference to the origin. Otherwise either x or y or both would not be constant, but will have extension). Multiplying both position (with its zero relative momentum) and momentum of the same particle (which is possible only at a different time t1 when the particle moves), the result will always be zero. Thus no mathematics is possible between position (fixed coordinates) and momentum (mobile coordinates) as they are mutually exclusive in space and time. They do not commute. Hence, δx.δpy = 0.

          Nature Physics (2012) (doi:10.1038/nphys2194) describes a neutron-optical experiment that records the error of a spin-component measurement as well as the disturbance caused on another spin-component. The results confirm that both error and disturbance obey the Masanao Ozawa's relation: ε(q)η(p) + σ(q)η(p) + σ(p)ε(q) ≥ h/4π but violate the old one in a wide range of experimental parameters. Even when either the source of error or disturbance is held to nearly zero, the other remains finite.

          Quantization being opposed to inter-connectedness and interdependence, will only add to the chaos. The degree of uncertainty and manipulations (contrary to mathematical principles) of Maxwell's equations also confuse everything as shown below. The wave function is determined by solving Schrödinger's differential equation:

          d2ψ/dx2 + 8π2m/h2 [E-V(x)]ψ = 0.

          By using a suitable energy operator term, the equation is written as Hψ = Eψ. The way the equation has been written, it appears to be an equation in one dimension, but in reality it is a second order equation signifying a two dimensional field, as the original equation and the energy operator contain a term x2. The method of the generalization of the said Schrödinger equation to the three spatial dimensions (adding two more equal terms by replacing x with y and z) does not stand mathematical scrutiny. A three dimensional equation is a third order equation impling volume. Addition of three areas does not generate volume [x+y+z ≠ (x.y.z)] and [x2+y2+z2 ≠ (x.y.z)]. Thus, there is no wonder that it has failed to explain spectra other than hydrogen. The so-called success in the case of helium and lithium spectra gives results widely divergent from observation.

          Yet there are simpler ways to prove your point that quantum information is fundamental and all material entities including space-time are emergent. Inter-connectedness and interdependence implies the existence of a whole with parts. If we break the parts to small units, then the information about them will be quantum information and it must be fundamental. Since everything is made up of quanta; and since space and time only report the intervals of ordered sequence of objects and events; they must be emergent.

          Regards,

          basudeba

            Thanks for your comment. I hope you will enter the contest so that you can put your point of view fully.