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Malcolm H. Mac Gregor

Publications and source records attributed to Malcolm H. Mac Gregor.

4 recordsLinked to original sources
arXiv2008

The experimental lifetime alpha-quantization of the 36 metastable elementary particle lifetimes

The fine structure constant alpha ~ 1/137 appears as a lifetime scaling factor for the 36 metastable (t > 10^-21 sec) elementary particles -- 34 hadrons and the mu and tau leptons. The hadrons divide into 24 long-lived unpaired-quark (UQ) and 3 short-lived paired-quark (PQ) ground states (the lowest-mass states for each u, d, s, c, b quark flavor combination), plus 7 excited states. The lifetime ratios include six factors of alpha, six factors of alpha^4, and one factor of alpha^3 (the leptons). This experimental lifetime alpha-quantization has seven salient features, where (1)-(3) show powers of alpha and (4)-(7) show smaller scaling effects): (1) A low-mass (m < 1 Gev) particle alpha-chain of linked alpha and alpha^4 lifetime ratios that extends from the neutron to the eta' meson and spans 11 powers of alpha. (2) Four unpaired-quark lifetime clusters (UQ)(pi, s, b, c) that contain 23 ground states which are sorted by the quark priorities c > b > s. (3) Four paired-quark clusters (PQ)(pi, s, b, c), and four alpha^4 pairing gaps between the fast PQ decays (which conserve flavor) and the slow UQ decays (which do not). (4) IR integer-ratio scaling inside UQ clusters, with integer lifetime ratios of 2, 3, or 4. (5) RP random perturbations that produce ~10% deviations from exact IR scaling. (6) Hadronic BC-scaling, which reflects the empirical BC = t(b)/t(c) ~ 3 lifetime ratios that occur between unpaired b-quark states and corresponding unpaired c-quark states. (7) Leptonic BC-scaling, shown in the lifetime equation (t(tau) x BC) / t(mu) = alpha^3, which is accurate to 2% for BC = 3.0, and which utilizes an alpha^3 scaling factor. The UQ and PQ lifetime clusters clearly reflect their u, d, s, c, b quark substructures

physics.gen-ph↗
arXiv2006

A "Muon Mass Tree" with alpha-quantized Lepton, Quark and Hadron Masses

A "muon mass tree" is displayed that contains the excitation systematics for accurately reproducing the masses of the six Standard Model quarks (u,d,s,c,b,t); the heavy leptons; the proton; the phi, J/Psi and Upsilon vector meson thrshold states; the Bc meson; and the mass-averaged W and Z gauge bosons, using a unified mass formalism based on the electron ground state. Multiples of an alpha-quantized 105.04 MeV fermion mass quantum reproduce the states below 12 GeV, and multiples of a doubly-alpha-quantized 14,394 Mev fermion mass quantum reproduce the W-Z and t states above 12 GeV, where alpha ~ 1/137 is the fine structure constant. Masses are additive, and the overall mass accuracy for these states is in the 1% range. A similar "pion mass tree" based on an alpha-quantized 70.03 MeV boson mass quantum accurately reproduces the pseudoscalar meson masses. The mass alpha-quantization follows from a corresponding experimental alpha-spacing of the long-lived particle lifetimes, which occur in well-defined lifetime groups that are each determined by a dominant Standard Model quark substate.

hep-ph↗
arXiv2006

The top quark to electron mass ratio m(t) = 18*m(e)/alpha^2 where alpha = e^2/hslash*c

Threshold-state elementary particle lifetimes exhibit a scaling in powers of alpha = e^2/hslash*c, and a reciprocal electron-based 1/alpha scaling in particle masses that extends over two powers of 1/alpha. The m(e)/alpha coupling generates accurate q = (u,d), s, c, b quark masses for particles up to 11 GeV. The m(e)/alpha^2 coupling creates the "alpha-quarks" q^alpha = q/alpha that reproduce the top quark mass and average W^+-, Z^0 doublet mass. The calculated Bc mass is 6303.3 MeV/c^2, and the lattice QCD value is 6304 +- 12 MeV/c^2. The calculated and experimental top quark masses are m(t)calc = 18*m(e)/alpha^2 = 172.73 GeV/c^2 and m(t)exp = 172.5 +- 2.3 GeV/c^2.

hep-ph↗
arXiv2005

Electron generation of leptons and hadrons with reciprocal alpha-quantized lifetimes and masses

Hadron elementary particle measurements have long revealed an alpha-dependence in the long-lived threshold-state lifetimes, together with an alpha-related mass structure, where alpha ~ 1/137 is the fine structure constant. A detailed lifetime analysis shows that of the 156 particles with well-determined lifetimes, the 120 shortest lifetimes have a continuum of values, but the 36 longer lifetimes occur in alpha-spaced groups which are sorted into s, c, b quark flavors. Guided by these lifetime results, we deduce an alpha-generated set of universal mass quanta, based on the electron ground state, which apply to both leptons and hadrons. A low-mass "threshold-state octet" of particles - muon, proton, tau, pion, eta, eta prime, kaon, phi meson - is reproduced to an average mass accuracy of 0.4%, with no adjustable parameters except a small hadronic binding energy. Without the lepton states, the hadron mass pattern is difficult to ascertain.

hep-ph↗