arXiv subjects

D. L. Bennett

Publications and source records attributed to D. L. Bennett.

13 recordsLinked to original sources

arXiv2017

F(750), We Miss You as a Bound State of 6 Top and 6 Antitop Quarks, Multiple Point Principle

We review our speculation, that in the pure Standard Model the exchange of Higgses, including also the ones "eaten by $W^{\pm}$ and Z", and of gluons together make a bound state of 6 top plus 6 anti top quarks bind so strongly that its mass gets down to about 1/3 of the mass of the collective mass 12 $m_t$ of the 12 constituent quarks. The true importance of this speculated bound state is that it makes it possible to uphold, even inside the Standard Mode, our proposal for what is really a new law of nature saying that there are several phases of empty space, vacua, all having very small energy densities (of the order of the present energy density in the universe). The reason suggested for believing in this new law called the "Multiple (Criticality) Point Principle" is, that estimating the mass of the speculated bound state using the "Multiple Point Principle" leads to two consistent mass-values; and they even agree with a crude bag-model like estimate of the mass of this bound state. Very, unfortunately, the statistical fluctuation so popular last year, when interpreted as the digamma resonance F(750), turned out not to be a real resonance, because our estimated bound state mass is just around the mass of 750 GeV.

hep-ph↗

arXiv2012

Gravity and Mirror Gravity in Plebanski Formulation

We present several theories of four-dimensional gravity in the Plebanski formulation, in which the tetrads and the connections are the independent dynamical variables. We consider the relation between different versions of gravitational theories: Einstenian, dual, 'mirror' gravities and gravity with torsion. According to Plebanski's assumption, our world, in which we live, is described by the self-dual left-handed gravity. We propose that if the Mirror World exists in Nature, then the 'mirror gravity' is the right-handed anti-self-dual gravity with broken mirror parity. Considering a special version of the Riemann--Cartan space-time, which has torsion as additional geometric property, we have shown that in the Plebanski formulation the ordinary and dual sectors of gravity, as well as the gravity with torsion, are equivalent. In this context, we have also developed a 'pure connection gravity' -- a diffeomorphism-invariant gauge theory of gravity. We have calculated the partition function and the effective Lagrangian of this four-dimensional gravity and have investigated the limit of this theory at small distances.

gr-qc↗

arXiv2012

The relation between the model of a crystal with defects and Plebanski's theory of gravity

In the present investigation we show that there exists a close analogy of geometry of spacetime in GR with a structure of defects in a crystal. We present the relation between the Kleinert's model of a crystal with defects and Plebanski's theory of gravity. We have considered the translational defects - dislocations, and the rotational defects - disclinations - in the 3- and 4-dimensional crystals. The 4-dimensional crystalline defects present the Riemann-Cartan spacetime which has an additional geometric property - "torsion" - connected with dislocations. The world crystal is a model for the gravitation which has a new type of gauge symmetry: the Einstein's gravitation has a zero torsion as a special gauge, while a zero connection is another equivalent gauge with nonzero torsion which corresponds to the Einstein's theory of "teleparallelism". Any intermediate choice of the gauge with nonzero connection A^{IJ}_μis also allowed. In the present investigation we show that in the Plebanski formulation the phase of gravity with torsion is equivalent to the ordinary or topological gravity, and we can exclude a torsion as a separate dynamical variable.

hep-th↗

arXiv2009

Proceedings to the 12th Workshop 'What Comes Beyond the Standard Models', Bled, July 14. - 24., 2009, Slovenia

Contents: 1. Likelihood Analysis of the Next-to-minimal Supergravity Motivated Model (C. Balazs and D. Carter) 2. The Multiple Point Principle: Characterization of the Possible Phases for the SMG (D.L. Bennett) 3. Does Dark Matter Consist of Baryons of New Stable Family Quarks? (G. Bregar and N.S. Mankoc Borstnik) 4. P, C and T for Truly Neutral Particles (V.V. Dvoeglazov) 5. Relativistic Equations for Spin Particles: What Can We Learn From Noncommutativity? (V.V. Dvoeglazov) 6. Radiative Charged Fermion Masses and Quark Mixing (VCKM)4x4 in a SU(3) Gauged Flavor Symmetry Model (A. Hernandez-Galeana) 7. Low Energy Binding of Composite Dark Matter with Nuclei as a Solution for the Puzzles of Dark Matter Searches (M.Yu. Khlopov, A.G. Mayorov and E.Yu. Soldatov) 8. On the Possibilities and Impossibilities of Random Dynamics (A. Kleppe) 9. Spin Connection Makes Massless Spinor Chirally Coupled to Kaluza-Klein Gauge Field After Compactification of $M^{1+5}$ to $M^{1+3}$ x Infinite Disc Curved on $S^2$ (D. Lukman, N.S. Mankoc Borstnik and H.B. Nielsen) 10. Offering the Mechanism for Generating Families - the Approach Unifying Spins and Charges Predicts New Families (N.S. Mankoc Borstnik) 11. Confusions That are so Unnecessary (R. Mirman) 12. - 17. Discussion Sections 18. Presentation of VIA and Bled 2009 Workshop Videoconferences (M.Yu. Khlopov)

hep-ph↗

arXiv2006

Proceedings to the 9th Workshop 'What Comes Beyond the Standard Models', Bled, September 16. - 26., 2006, Slovenia

Contents: 1. Child Universes in the Laboratory (S. Ansoldi and E.I. Guendelman) 2. Relation between Finestructure Constants at the Planck Scale from Multiple Point Principle (D.L. Bennett, L.V. Laperashvili and H.B. Nielsen) 3. On the Origin of Families of Fermions and Their Mass Matrices -- Approximate Analyses of Properties of Four Families Within Approach Unifying Spins and Charges (M. Breskvar, D. Lukman and N.S. Mankoc Borstnik) 4. Cosmoparticle Physics: Cross-disciplinary Study of Physics Beyond the Standard Model (M.Yu. Khlopov) 5. Discussion Section on 4th Generation (M.Yu. Khlopov) 6. Involution Requirement on a Boundary Makes Massless Fermions Compactified on a Finite Flat Disk Mass Protected (N.S. Mankoc Borstnik and H.B. Nielsen) 7. How Can Group Theory be Generalized so Perhaps Providing Further Information About Our Universe? (R. Mirman) 8. FutureDependent Initial Conditions from Imaginary Part in Lagrangian (H.B. Nielsen and M. Ninomiya) 9. Coupling Self-tuning to Critical Lines From Highly Compact Extra Dimensions (K. Petrov)

hep-ph↗

arXiv2005

Proceedings to the 8th Workshop 'What Comes Beyond the Standard Models', Bled, July 19. - 29., 2005, Slovenia

Contents: 1. Can MPP Together with Weinberg-Salam Higgs Provide Cosmological Inflation? (D.L. Bennett and H.B. Nielsen) 2. Conserved Charges in 3d Gravity With Torsion (M. Blagojevic and B. Cvetkovic) 3. Mass Matrices of Quarks and Leptons in the Approach Unifying Spins and Charges (A. Borstnik Bracic and N.S. Mankoc Borstnik) 4. Dark Matter From Encapsulated Atoms (C.D. Froggatt and H.B. Nielsen) 5. Dirac Sea for Bosons Also and SUSY for Single Particles (Y. Habara, H.B. Nielsen and M. Ninomiya) 6. Searching for Boundary Conditions in Kaluza-Klein-like Theories (D. Lukman, N.S. Mankoc Borstnik and H. B. Nielsen) 7. Second Quantization of Spinors and Clifford Algebra Objects (N.S. Mankoc Borstnik and H. B. Nielsen) 8. Are there Interesting Problems That Could Increase Understanding of Physics and Mathematics? (R. Mirman) 9. Noncommutative Nonsingular Black Holes (P. Nicolini) 10. Compactified Time and Likely Entropy -- World Inside Time Machine: Closed Time-like Curve (H.B. Nielsen and M. Ninomiya) + Astri Kleppe's Song.

hep-ph↗

arXiv2005

Non-locality requires fine tuning and multi-degenerate vacua

Our Multiple Point Principle (MPP) states that the realized values for e.g. the parameters of the standard model correspond to having a maximally degenerate vacuum. In the original appearence of MPP the gauge coupling values were predicted to within experimental uncertainties. A mechanism for fine-tuning follows in a natural way from the MPP. Using the cosmological constant as a example, we attempt to justify the assertion that at least a mild form of non-locality is inherent to fine-tuning. This mild form - namely an interaction between pairs of spacetime points that is identical for all pairs regardless of spacetime separation - is insured by requiring non-local action contributions to be reparametrization invariant. However, even this form of non-locality potentially harbours time-machine-like paradoxes. These are seemingly avoided by the MPP fine-tuning mechanism. A (favorable)comparison of the results of MPP in the original lattice gauge theory context with a new implementation with monopoles that uses MPP at the transition to a monopole condensate phase is also described.

hep-th↗

arXiv2003

Proceedings to the workshops 'What comes beyond the Standard model', 2000, 2001, 2002, Volume 2: Proceedings (Part I)

Contents (Part 1): 1.Derivation of Lorentz Invariance and Three Space Dimensions in Generic Field Theory (C D. Froggatt and H. B. Nielsen) 2.Unitary Representations, Noncompact Groups SO(q; d - q)...(N. Mankoc Borstnik, H. B. Nielsen and D. Lukman) 3.Weyl Spinor of SO(1; 13), Families of Spinors ...(A. Borstnik Bracic and N. Mankoc Borstnik) 4.A Tight Packing Problem (A. Kleppe) 5.Why so Few Particle Species? ... (D.L. Bennett and A. Kleppe) 6.About Number of Families (D. Lukman, A. Kleppe and N.S. Mankoc Borstnik) 7.Coupling Constant Unification in Spin-Charge Unifying Model ....(N. Mankoc Borstnik and H. B. Nielsen) (Contents of Part 2 [hep-ph/0301030]: 8.Renormalization of Coupling Constants in the Minimal SUSY Models (R. B. Nevzorov, K. A. Ter-Martirosyan and M. A. Trusov) 9.Multiple Point Model and Phase Transition Couplings ...(L.V. Laperashvili, D.A. Ryzhikh and H.B. Nielsen) 10.Family Replicated Fit of All Quark and Lepton Masses and Mixings (H. B. Nielsen and Y. Takanishi) 11.Family Replicated Calculation of Baryogenesis (H. B. Nielsen and Y. Takanishi) 12. Neutrino Oscillations in Vacuum on the Large Distance (D.A. Ryzhikh and K.A. Ter-Martirosyan) 13. Possibility of an Additional Source of Time Reversal Violation for Neutrinos (R. Erdem) 14.Quark-Lepton Masses and the Neutrino Puzzle in the AGUT Model (C.D. Froggatt) 15.Neutrinos in the Family Replicated Gauge Group Model (C.D. Froggatt))

hep-ph↗

arXiv1997

Standard Model Parameters from the Multiple Point Principle and Anti-GUT

We put forward a model, or rather a relatively broad class of models, beyond the Standard Model based on the two main assumptions: MPP) The coupling constants should be fixed such as to ensure that there be many ``vacuum states'', i.e. Lorentz invariant states of the fields, with the same energy density. Anti-GUT) At high energy, above an essential desert of only Standard Model interactions, there is the bigger gauge group $SMG^3\times U(1)_f$ which means that each family of quarks and leptons has its own set of gauge bosons analogous to those in the Standard Model itself, and then there is one extra abelian gauge boson called $U(1)_f$. In addition we make some further more phenomenological assumptions. We succeed in fitting order of magnitudewise most of the (effective) Yukawa couplings observed in the Standard Model as quark and lepton masses and mixing angles. We have more accurate numbers for the three fine-structure constants and the top and Higgs masses, as well as some suggestive understanding of the fine-tuning wonders for the cosmological constant and the $Θ$-angles. CP-violation is predicted a bit low, but order of magnitudewise in agreement with experiment. In summary, we obtain at least an order of magnitudewise understanding of the Standard Model parameters within our scheme, except for the mysteriously low weak scale compared to the Planck scale, with only 4 continuous parameters being fitted, in addition to our somewhat more discrete choices.

hep-ph↗

arXiv1997

The Initial Value Problem For Maximally Non-Local Actions

We study the initial value problem for actions which contain non-trivial functions of integrals of local functions of the dynamical variable. In contrast to many other non-local actions, the classical solution set of these systems is at most discretely enlarged, and may even be restricted, with respect to that of a local theory. We show that the solutions are those of a local theory whose (spacetime constant) parameters vary with the initial value data according to algebraic equations. The various roots of these algebraic equations can be plausibly interpreted in quantum mechanics as different components of a multi-component wave function. It is also possible that the consistency of these algebraic equations imposes constraints upon the initial value data which appear miraculous from the context of a local theory.

hep-th↗

arXiv1997

Standard Model Couplings with $α^{-1}=137 \pm 9$ from Multiple Point Criticality and 3 Generations of Gauge Bosons: No GUT, No SUSY

We consider the application of the Multiple Point Criticality Principle to the Standard Model and its extension to the anti-grand gauge group $SMG^3 \otimes U(1)_f$ at the Planck scale. In particular we discuss the predictions for the fine structure constants: $α^{-1}(0) = 137 \pm 9$, $α^{-1}_{1}(M_Z) =99 \pm 5$, $α^{-1}_{2}(M_Z) =29 \pm 6$, $α^{-1}_{3}(M_Z) =12 \pm 6$. We also present our Standard Model predictions for the top quark and Higgs masses and a $SMG^3 \otimes U(1)_f$ fit of the quark-lepton masses and mixing angles. We characterise $SMG^3 \otimes U(1)_f$ as the largest possible extension of the Standard Model gauge group satisfying some relatively simple assumptions. The resolution of some other fine-tuning problems ($Λ_{cosmological}$, $Θ_{QCD}$, $M_{Higgs}$) by the multiple point requirement of degenerate vacua is briefly discussed.

hep-ph↗

arXiv1996

Gauge Couplings calculated from Multiple Point Criticality yield $α^{-1}=136._8\pm 9$: At Last the Elusive Case of $U(1)$

We calculate the $U(1)$ continuum gauge coupling using the values of action parameters at the multiple point in the phase diagram of a lattice gauge theory. The multiple point is where a maximum number of phases convene. We obtain for the running inverse finestructure constant the values $α_1^{-1}=56\pm 5$ and $α_1^{-1}=99\pm 5$ at respectively the Planck scale and the $M_Z$ scale. The gauge group underlying the phase diagram in which we seek multiple point values of action parameters is what we call the Anti Grand Unified Theory (AGUT) gauge group $SMG^3$ which is the Cartesian product of 3 standard model groups (SMGs). There is one SMG factor for each of the $N_{gen}=3$ generations of quarks and leptons. In our model, this gauge group $SMG^3$ is the predecessor to the usual standard model group. The latter arises as the diagonal subgroup surviving the Planck scale breakdown of $SMG^3. This breakdown leads to a weakening of the $U(1)$ coupling by a $N_{gen}$-related factor. The most important correction obtained from using multiple point parameter values (in a multi-parameter phase diagram instead of the single critical parameter value obtained say in the 1-dimensional phase diagram of a Wilson action) comes from including the influence of having phases confined solely w.r.t. discrete subgroups. In particular, what matters is that the degree of first-orderness is taken into account in making the transition from these latter phases at the multiple point to the totally Coulomb-like phase. Combined with the results of earlier work on the non-Abelian gauge couplings, the results presented here lead to our prediction of $α^{-1}=136._8\pm 9$ as the value for the fine-structure constant at low energies.

hep-ph↗

arXiv1995

Nonlocality as an Explanation for Finetuning and Field replication in Nature

Constants of Nature that have nongeneric values pose a riddle often referred to as the finetuning problem. The conspicuous values assumed by many physical constants (e.g., the vanishing effective cosmological constant, the smallness of the Higgs mass compared to the Planck scale, the finestructure constants, $Θ_{QCD}$) seem to coincide with values that are obtained if one assumes that Nature in general seeks out multiple point values for intensive parameters. Multiple point values would occur in the presence of many coexisting phases. Such coexistence could be enforced by having fixed but not finetuned amounts of extensive quantities. We show that universally fixed amounts of extensive quantities is tantamount to having long range nonlocal interactions of a special type: these interactions are identical between fields at all pairs of spacetime points regardless of the spacetime distance between them. Such omnipresent nonlocal interactions, which can be described by a very general form of a reparameterization invariant action, would not be perceived as ``action at a distance'' but rather most likely incorporated into our theory as constants of Nature. Hence one can speculate that this mild form of nonlocality is the underlying explanation of Nature's affinity for the multiple point. We also speculate that nonlocal effects, described by fields depending on two spacetime points, may be responsible for the replication of the fields in three generations. Such a nonlocal mechanism would also triple the number of boson fields, as in the antigrand unification model. We briefly review the multiple point predictions for the three fine structure constants and the resolution of the quark-lepton mass hierarchy problem in this antigrand unified extension of the Standard Model.

hep-ph↗