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| Tags: gravity, higgsgoldstone, inertia, origin |
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"Still haven't found Higgs after 20 years, so I don't think it exists. The LHC is coming on line in short time, so I think this will be the definitive end of the line for a Higgs boson search. If it isn't found in the LHC, then quantum field theorists will be forced to confront other models for inertia and mass that have nothing to do with the Standard Model formulation." Eric Davis What Eric Davis wrote above is wrong. He does not understand the Higgs mechanism origin of inertia at all! It does not depend at all on the finding of a real Higgs particle on-mass-shell. The Higgs-Goldstone origin of inertia is strictly a virtual quantum effect inside the coherent vacuum with order parameter phi. See for example the recent SLAC Summer School Lectures http://www-conf.slac.stanford.edu/ss...s1/default.htm http://www-conf.slac.stanford.edu/ss...s2/default.htm especially http://www-conf.slac.stanford.edu/ss...age_10_jpg.htm For the Yukawa coupling formulae for the inertia of the quarks and leptons. This only depends on the charge neutral component magnitude of the order parameter |phi| = v. Eric simply is speaking off the top of his head. The mass of the Higgs is in the small vibrations around v! It has nothing to do directly with the equilibrium value v about which the small vibrations occur. Consider a harmonic oscillator for the small linear Higgs vibrations up the slope of the trough. d^2(x - v)/dt^2 + f^2(x - v) = 0 For small linear oscillations around the "equilibrium" v from SSB in the vacuum probably from the SU(2)hypercharge group. The potential is U = (k/2)(x - v)^2 = (k/2)(x^2 + v^2 - 2vx) dU/dx = k(x - v) d^2U/dx^2|(x=v) = k 0 (for stability, i.e. Goldstone phase rigidity) That is, k is the curvature at the bottom of the well. There is no necessary connection of k to v because v is determined from dU/dx = 0 The choice of first and second derivatives is contingent. There is an additional f parameter. The mass m of the on-mass shell Higgs here is from f^2 = k/m It is essentially independent of v! The Yukawa coupling for the inertia of the quarks and leptons in the standard model does not at all depend on the actual rest mass of the on-mass-shell Higgs particle. Where does v come from? It comes from the entirely different equation (I do U(1) SSB for math simplicity in a toy model) V(psi) = a|psi|^2 + b|psi|^4 dV/d|psi| = 0 2a|psi| + 4b|psi|^3 = 0 a + 2b|psi|^2 = 0 i.e. a + 2bv^2 = 0 v^2 = - a/2b 0 is SSB Note the Yukawa coupling formula for the inertia of the quarks and the leptons in http://www-conf.slac.stanford.edu/ss...age_10_jpg.htm has fermion inertia ~ v The boson inertia is in http://www-conf.slac.stanford.edu/ss...age_09_jpg.htm Eric Davis has raised a RED HERRING based on his ignorance of the standard model. Therefore at the trough of the Mexican Hat order parameter potential http://www-conf.slac.stanford.edu/ss...age_07_jpg.htm http://www-conf.slac.stanford.edu/ss...age_08_jpg.htm Think of x as the order parameter U ~ (k/2)(x - v)^2 Note that a = k/2 ~ d^2U/d|phi|^2 at the equilibrium trough x = v v ~ -(d^2U/dx^2)/2b mass of the Higgs is m = k/f^2 = 2(d^2U/dx^2)/f^2 But f is a free parameter coming from the coefficient of (dx/dt)^2 in the inhomogeneous part of the Hamiltonian density i.e. COHERENCE LENGTH of the order parameter has no necessary connection to the shape of the Mexican Hat Potential for vacuum SSB. The mass of the Higgs depends on this coherence length in addition to the curvature at the bottom of the Mexican Hat SSB vacuum ODLRO potential. H = M(dx/dt)^2 + (k/2)(x - v)^2 This M is NOT m the mass of the Higgs. And in the field theory case, that we need to use, the kinetic energy density Landau-Ginzburg term is like nuv(phi,u)(phi*^,v) + a|phi|^2 + b|phi|^4 nuv is the flat metric tensor, , is the flat partial derivative for the pre -- post inflation vacuum phase transition creating our universe in the multiverse. B = Lpd(argphi) gives the emergent guv(curved spacetime). This is the Decoding of The Cipher of Genesis. Eric Davis's remark (and James Woodward's) about the Higgs mechanism not being the origin of both gravity and inertia is like the Haisch ZPF and the Puthoff PV models "not even wrong." |
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