Toward a unified field theory of gravitation and strong interactions (original) (raw)
Related papers
2009
The Gravitational, Electromagnetic, Weak & the Strong force are here brought together under a single roof via an extension of Reimann geometry to a new geometry (coined Reimann-Hilbert Space); that unlike Reimann geometry, preserves both the length and the angle of a vector under parallel transport. The affine connection of this new geometry-the Reimann-Hilbert Space, is a tensor and this leads us to a geodesic law that truly upholds the Principle of Relativity. The geodesic law emerging from the General Theory of Relativity (GTR) is well known to be in contempt of the Principle of Relativity which is a principle upon which the GTR is founded. The geodesic law for particles in the GTR must be formulated in special (or privileged) coordinate systems i.e. gaussian coordinate systems whereas the Principle of Relativity clearly forbids the existence of special (or privileged) coordinate systems in manner redolent of the way the Special Theory of Relativity forbids the existence of an absolute (or privileged) frame of reference. In the low energy regime and low spacetime curvature the unified field equations derived herein are seen to reduce to the well known Maxwell-Procca equation, the none-abelian nuclear force field equations, the Lorentz equation of motion for charged particles and the Dirac Equation. Further, to the already existing four known forces, the theory predicts the existence of yet another force. We have coined this the super-force and this force obeys S U(4, 4) gauge invariance. Furthermore, unlike in the GTR, gravitation is here represented by a single scaler potential, and electromagnetic field and the nuclear forces are described by the electromagnetic vector potential (A µ) which describes the metric tensor i.e. g µν = A µ A ν. From this (g µν = A µ A ν), it is seen that gravity waves may not exist in the sense envisaged by the GTR.
Extended Particle Model of Leptons and Quarks and Generalized Kaluza's Unified Field Theory
Progress of Theoretical Physics Supplement, 1979
As a unified model of leptons and quarks, a relativistic deformable rotator model is investigated. It gives a substantial interpretation to the Weinberg-Salam theory and brings several characteristic results: i) Intrinsic spin and weak-isospin of leptons and quarks are mutually inseparabfe quantities related to the rotational mode of the rotator, and each must have the SU2 structure. ii) There arise newly SU, X SU, freedoms from the rotational mode of the principal axes of deformation of the rotator, which are assigned to two kinds of new flavor isospins, L and M. iii) Further, from the dilatation mode in the direction of each principal axis of deformation, the freedom of U, is derived, and identified with the colour SU,' and the quantum number which discriminates between leptons and quarks. iv) For the consistent description of this kind of extended particles, it becomes necessary to introduce the framework of the (4+n)-dimensional space of the generalized Kaluza's unified field theory, whose metric tensor r.tB(A, B=1,2, .. •,4+n) naturally provides Yang-Mills fields A,"(a=l, 2, ... , n) needed to localize internal symmetries of the extended particles, and scalar fields Yab(a,b=l, 2, ... , n) identified with Higgs mesons, in addition to the gravitational tensor g,,. v) It predicts the existence of the fourth sequential doublets of leptons and quarks subsequent to (v., t') and (t, b), together with possible more complicated excited-states of leptons and quarks. Contents Generally covariant wave equation of the basic matter Elimination of ea-dependence of basic fields Gauge transformation as the special coordinate transformation Concluding remarks and further outlook
I propose a Unified Field Theory of the Gravitational, Electromagnetic, Weak & the Strong force. A new force that obeys S U(4) symmetry emerges and this new force constitutes the testable prediction of the theory. The theory rests on a new spacetime geometry with tensorial affine connections and this geometry is a fussion of Reimann and Hilbert spacetimes thus making it possible to bring quantum and classical physics and the task of doing this is left for Paper II. Further work to put the theory on a strong footing will be presented in Papers II, III, IV and VI and other works that may emerge from these investigations.
Model of Quarks and Leptons Based on Spacetime Symmetries
2019
The experimental search of standard model superpartners, and the derivation of the standard model from higher dimensional theories have been challenging for some time now. In this article these technologies are kept but they are applied to a simpler environment. A coherent scenario of particles based on Kaluza-Klein theory and unbroken supersymmetry is proposed. It offers an economic basis for constructing the standard model particles without the superpartner problem of the minimal supersymmetric standard model. With local supersymmetry one arrives at supergravity without Yang-Mills fields. A number of results in the literature would have to be reconsidered according to this model.
A note on the Standard Model in a gravitation field
2006
The Standard Model of elementary particles is a theory unifying three of the four basic forces of the Nature: electromagnetic, weak, and strong interactions. In this paper we consider the Standard Model in the presence of a classical (nonquantized) gravitation field and apply a bundle approach for describing it.
Standard Model Matter Emerging from Spacetime Preons
OALib, 2016
I consider a statistical mechanical model for black holes as atoms of spacetime with the partition function sum taken over area eigenvalues as given by loop quantum gravity. I propose a unified structure for matter and spacetime by applying the area eigenvalues to a black hole composite model for quarks and leptons. Gravitational baryon number's non-conservation mechanism is predicted. Argument is given for unified field theory based on gravitational and electromagnetic interactions only. The standard model of non-Abelian gauge interactions is briefly discussed.
Preon Model for Matter and Spacetime Uni cation
2016
I consider a preon model for quarks and leptons based on constituents de ned by mass, spin and charge. The preons form a nite combinatorial system for the standard model fermions. The color and weak interaction gauge structures can be deduced from the preon bound states. A uni ed picture for matter and spacetime is proposed by applying the area eigenvalues of loop quantum gravity to black hole preons producing a preon mass spectrum starting from zero. Gravitational baryon number non-conservation mechanism is obtained. Argument is given for uni ed eld theory be based only on gravitational and electromagnetic interactions of preons.
Unified Lepton-Hadron Symmetry and a Gauge Theory of the Basic Interactions
Physical Review D, 1973
An attempt is made to unify the fundamental hadrons and leptons into a common irreducible representation I of the same symmetry group G and to generate a gauge theory of strong, electromagnetic, and weak interactions. Based on certain constraints from the hadronic side, it is proposed that the group 6 is SU(4') x SU(4"), which contains a Han-Nambu-type SU(3') x SU{3")group for the hadronic symmetry, and that the representation I' is (4, 4*). There exist four possible choices for the lepton number L and accordingly four possible assignments of the hadrons and leptons within the (4, 4*). Two of these require nine Han-Nambu-type quarks, three "charmed" quarks, and the observed quartet of leptons. The other two also require the nine Han-Nambu quarks, plus heavy leptons in addition to observed leptons and only one or no "charmed" quark. One of the above four assignments is found to be suitable to generate a gauge theory of the weak, electromagnetic, and SU(3") gluonlike strong interactions from a selection of the gauges permitted by the model. The resulting gauge symmetry is SU(2')z x U(1) x SU(3")z,+z. The scheme of all three interactions is found to be free from Adler-Bell-Jackiw anomalies. The normal strong interactions arise effectively as a consequence of the strong gauges SU{3")z, z. Masses for the gauge bosons and fermions are generated suitably by a set of 14 complex Higgs fields. The neutral neutrino and AS =0 hadron currents have essentially the same strength in the present model as in other SU(2)L, x U(1) theories. The mixing of strongand weak-gauge bosons (a necessary feature of the model) leads to parity-violating nonleptonic amplitudes, which may be observable depending upon the strength of SU(3") symmetry breaking. The familiar hadron symmetries such as SU{3') and chiral SU(3')& xSU(3')z are broken only by quark mass terms and by the electromagnetic and weak interactions, not by the strong interactions. The difficulties associated with generating gauge interactions in the remaining three assignments are discussed in Appendix A. Certain remarks are made on the question of proton and quark stability in these three schemes,