A not so distant mirror...

  • Quaternions aren't new maths - They are so old that Maxwell used them in the first place! ...Heaviside removed them, to simplify things.

    http://www.rexresearch.com/maxwell1/20equations.pdf

    Thanks for the tip. I did not know about all the work done over the last 150 years to upgrade the Maxwell equations. The Standard model must have absorbed all that theory. Anyone looking to replace all that work is in for a very big job.


    http://www.thp.uni-koeln.de/gr…tarbeiter/MaxwellUCL2.pdf

  • Oliver Heaviside, 1850 to 1925. Zeus46 has this exactly right. Even non-specialists know that Maxwell's equations as given today are not in their original form. Heaviside long ago did "the work" of a particular and useful simplifications. A lesson there I suspect. I understand electrical engineers still use Heaviside methods for their simplicity.... thus he is long revered and surely not for obscuration....

  • From our infamous online encyclopedia, specifically the less controversial article on Oliver Heaviside: "That same year he patented, in England, the coaxial cable. In 1884 he recast Maxwell's mathematical analysis from its original cumbersome form (they had already been recast as quaternions) to its modern vector terminology, thereby reducing twelve of the original twenty equations in twenty unknowns down to the four differential equations in two unknowns we now know as Maxwell's equations. The four re-formulated Maxwell's equations describe the nature of electric charges (both static and moving), magnetic fields, and the relationship between the two, namely electromagnetic fields.
    Between 1880 and 1887, Heaviside developed the operational calculus using p for the differential operator, (which Boole had previously denoted by D), giving a method of solving differential equations by direct solution as algebraic equations. This later caused a great deal of controversy, owing to its lack of rigour. He famously said, "Mathematics is an experimental science, and definitions do not come first, but later on." On another occasion he asked somewhat more defensively, "Shall I refuse my dinner because I do not fully understand the process of digestion?"

  • Theoretically if you do a calculation it should take up some space time. If an algorithm is exponential ,like most probably factorizing primes. Now assume a 1000 bit

    wide prime. Then assume the complexity is 2^1000 > 10^250 the size of a nucleus is 10e-15 and you can fill 1 m^3 with 10^45 densly packed nucleus sizes. Now for 1m^3

    of quantum computer, assume that you do 10^20 cycles in one seconds. Then your 1 m^3 quantum computer would need to run for more than 10^100 s in order to

    factorize the number. See the problem, Quantum computer folks say that we need to beware of the cracking capabilities of the quantum computer and wipe the issue

    I tried to illustrate away. This folks is loosing the touch to the ground and we put an immensly large sum of money assuming that my point is a non issue. Meanwhile the same

    folks say that LENR is theoretically impossible and is no science worth spending. Yes for hot plasma theory it is such, but not for dense matter at lower energies it is proven

    impossible. I can just summarize it with that our intelligensa are ballonies loosing touch with the ground. This is how I feel about all this: Skriet

  • Interesting article about Quaternions, Octonions, Physics etc:


    We all question the (from "article") cited "why this symmetry group — SU(3) × SU(2) × U(1)?" This symmetry just explains very view information about particles and worst it does not hold for all particles....


    To find an other math e.g. Octonions (x .. x ..) to better explain a failed model is the wrong approach, but the only one standard model people will accept if you want to publish...


    The real physical space, SO(4) is best explained by quaternions no mystics no standard model symmetry, just real value calculations.


    The so called unexplained (from "article") 3 generation of particles has been explained since about 30 years - by the under carpet showed R.Mills...

  • Interesting article about Quaternions, Octonions, Physics etc:

    https://www.quantamagazine.org…nderpin-physics-20180720/


    https://www.quantamagazine.org…nderpin-physics-20180720/


    octonion-math is Vortex based math.


    I beleive that this math explains how the properties of quarks come from the operaations of octonion-math, This following article shows how quarks are connected by a vortex like flux tube.


    https://academicworks.cuny.edu…icle=1075&context=lg_pubs


    Quote

    There is good phenomenological evidence that in a rotationally excited baryon a quark-diquark (q - D) structure is favored over a three-quark (qqq) structure[8];[9];[10]. Eguchi[11] had shown that it is energetically favorable for the three quarks in a baryon to form a linear structure with a quark on one end and bilocal structure qq at the other end. Similarly, Bars and Hanson[12], and independently Johnson and Thorn[13] had shown that the string-like hadrons may be pictured as <u><i><b>vortices of color flux lines which terminate on concentration of color at the endpoints</b></i></u>. A baryon with three valence quarks would be arranged as a linear chain of molecule where the largest angular momentum for a state of a given mass is expected when two quarks are at one end, and the third is at the other: At large spin, two of the quarks form a diquark at one end of the string, the remaining quark being at the other. Regge trajectories for mesons and baryons are closely parallel; both have a slope of about 0:9(GeV )^-2. If the quarks are light, the underlying quark-diquark symmetry leads to a Miyazawa symmetry between mesons and baryons. Thus we studied QCD with a weakly broken supergroup SU(6=21). Note that the fundamental theory is not supersymmetric. For quarks, the generators of the Poincar´e group and those of the color group SU(3)c commute. It is only the effective Hamiltonian which exhibits an approximate supersymmetry among the bound states q anti-q and qD.


    Here is another reference to vortex flux tubes in particles. This looks exactly like what we saw in the LION experiments.


    http://www.ptep-online.com/2016/PP-44-07.PDF



    https://hiup.org/micro-black-holes-elementary-particles/


    scientificamerican1116-26-I2.jpg


    Based on John Archibald Wheeler's ideas that participles are black holes with wormholes. Not all particles might be black holes but some quasiparticles surly are since we have seen them in experiments, and these quasiparticles can interact with the quarks inside particles through vortex flux tube reconnection producing transmutation.


    An old idea but from what we have seen in our experiments, it is most likely true


    Black Holes as Elementary Particles

    Christoph F. E. Holzhey

    Frank Wilczek


    https://arxiv.org/pdf/hep-th/9202014.pdf

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