arXiv subjects

B. F. Riley

Publications and source records attributed to B. F. Riley.

7 recordsLinked to original sources

arXiv2009

Mass hierarchies from two extra dimensions

The string, MSSM GUT, weak and QCD scales, and the Rydberg constant, correspond to the positions of AdS domain wall intersections in a two-dimensional extra space of infinite extent. The domain walls lie along and parallel to the sides of cells which tile the extra space. The cells are four-sided with parallel opposite sides of lengths Rln(pi/2) and Rln(pi), where R is the AdS radius of curvature. Particle masses correspond to the positions of domain walls. We represent the extra space graphically.

physics.gen-ph↗

arXiv2006

Hadron locations on the rectangle

Hadrons are located at the orthogonal intersections of 4-branes that wrap 1-cycles of a rectangular compact space. The 4-branes are arranged in a regular network. We reveal the conspicuous locations on the rectangle of the lightest mesons, unflavoured and of each flavour, of the lightest meson singlet states with hidden flavour of each kind, and of the lightest baryons of each flavour. The Higgs field vacuum expectation value is also associated with a conspicuous position on the rectangle, at the orthogonal intersection of 4-branes.

physics.gen-ph↗

arXiv2006

The intersecting brane world

The scales of the Standard Model correspond to the positions of domain wall intersections on a straight line in a noncompact two-dimensional extra space. The domain walls partition an Anti-de Sitter spacetime. We show that domain wall intersections mark the orthogonal intersections of 1-cycles winding around a rectangular compact space and a hierarchy of subspaces, and that the noncompact extra space of the model is a covering space. 4-branes wrap 1-cycles of the compact spaces and intersect orthogonally in 3-branes, upon which the particles propagate. We show that particles are located precisely at domain wall intersections in the covering space.

physics.gen-ph↗

arXiv2005

Phenomena from intersecting branes in six-dimensional Anti-de Sitter spacetime

We relate four-dimensional mass parameters to the positions of AdS 4-brane intersections in six-dimensional AdS spacetime. The 4-branes wrap 1-cycles on the rectangular toroidal orbifold T2/(Z2)3, are situated upon and parallel to the fixed lines, and intersect orthogonally on four-dimensional Minkowski junctions. Particles are arranged upon the line equidistant from the two extra dimensions. In four dimensions, the particles occupy a geometric sequence of mass levels that descends from the Higgs field vacuum expectation value. Scales that we identify with the three Standard Model families derive from the geometry of the orbifold and stand in precise relationship to the GUT scale of the Minimal Supersymmetric Standard Model.

physics.gen-ph↗

arXiv2003

Mass differences of SU(3) strange hadrons

Mass differences between octet strange baryons, octet and decuplet strange baryons, and nonet vector mesons and octet baryons of equal strangeness coincide (within the small experimental uncertainties) with the levels of a recently proposed hadron mass spectrum. A number, M, characterises the mass difference in relation to the strange quark mass of the spectrum. The mass diference of Lambda and Sigma0 (delta I=1) is characterised by M=+1. The mass difference of Sigma0 and Sigma(1385)0 (delta J=1) is characterised by M=-1. Vector meson-baryon (delta J=1/2) mass differences are characterised by M=-1/2. The mass differences of strange decuplet baryon resonances (delta S=1) are characterised by M=-2 and M=-3, where M is equal to the strangeness of the more massive baryon.

physics.gen-ph↗

arXiv2003

A geometric sequence of neutral vector boson and charged lepton masses

The neutral vector meson resonances, phi, J/psi, Bs* and Upsilon, and the tau lepton occupy consecutive mass levels in a geometric series which also includes the muon and the neutral vector boson, Z, in a symmetric arrangement. The mass of the tau lepton is equal to the geometric mean of the phi and J/psi masses.

physics.gen-ph↗

arXiv2003

A unified model of particle mass

The quark masses evaluated by the Particle Data Group are consistent with terms in a geometric progression of mass values descending from the Planck Mass. The common ratio of the sequence is 2/pi. The quarks occupy the 'principal' levels of the mass spectrum, characterised by a new quantum number, n. Hadrons occupy mass sub-levels, characterised by fractional values of n. The quark masses of the model are used to formulate hadron mass construction equations based on the masses of neutral precursor particles. Hadron mass partnerships occur, in which mass differences arising from differences in spin, isospin and isospin projection are equal to the masses of principal levels. Mass partnerships also occur between charged leptons and pseudoscalar mesons.

physics.gen-ph↗