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Bodo Lampe

Publications and source records attributed to Bodo Lampe.

At least 19 recordsLinked to original sources
arXiv2024

Analytic and Parameter-Free Formula for the Neutrino Mixing Matrix

A parameter-free analytic expression for the PMNS matrix is derived which fits numerically all the measured matrix components at 99.7$\%$ confidence. Results are proven within the microscopic model and include a prediction of the leptonic Jarlskog invariant. The approach is universal in the sense that it can be applied to the quark sector as well. Preliminary numbers obtained for the CKM matrix elements look promising, but are plagued with large theoretical errors.

hep-ph↗
arXiv2024

Determination of quark and lepton masses and mixings in the microscopic model

Recently, formulas for the mixing matrices of quarks and leptons have been put forward. My contribution here describes the relevant foundational and technical aspects which have led to those results. The work has been carried out in the framework of the microscopic model. The most general ansatz for the interactions among tetrons leads to a Hamiltonian H involving Dzyaloshinskii-Moriya (DM), Heisenberg and torsional isospin forces. Diagonalization of the Hamiltonian provides for 24 eigenvalues which are identified as the quark and lepton masses. While the masses of the third and second family arise from DM and Heisenberg type of isospin interactions, light family masses are related to torsional interactions among tetrons. Neutrino masses turn out to be special in that they are given in terms of tiny isospin non-conserving DM, Heisenberg and torsional couplings. The approach not only leads to masses, but also allows to calculate the quark and lepton eigenstates, an issue, which is important for the determination of the CKM and PMNS mixing matrices. The almost exact isospin conservation of the system dictates the form of the lepton states and makes them independent of all the couplings in H. Much in contrast, there is a strong dependence of the quark states on the coupling strengths, and a promising hierarchy between the quark family mixings shows up.

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arXiv2023

On the Relations between Fermion Masses and Isospin Couplings in the Microscopic Model

Quark and lepton masses and mixings are considered in the framework of the microscopic model. The most general ansatz for the interactions among tetrons leads to a Hamiltonian $H_T$ involving Dzyaloshinskii-Moriya (DM), Heisenberg and torsional isospin forces. Diagonalization of the Hamiltonian provides for 24 eigenvalues which are identified as the quark and lepton masses. While the masses of the third and second family arise from DM and Heisenberg type of isospin interactions, light family masses are related to torsional interactions among tetrons. Neutrino masses turn out to be special in that they are given in terms of tiny isospin non-conserving DM, Heisenberg and torsional couplings. The approach not only leads to masses, but also allows to calculate the quark and lepton eigenstates, an issue, which is important for the determination of the CKM and PMNS mixing matrices. Compact expressions for the eigenfunctions of $H_T$ are given. The almost exact isospin conservation of the system dictates the form of the lepton states and makes them independent of all the couplings in $H_T$. Much in contrast, there is a strong dependence of the quark states on the coupling strengths, and a promising hierarchy between the quark families shows up.

hep-ph↗
arXiv2022

From Neutrino Masses to the Full Size of the Universe

Our universe is a 3-dimensional elastic substrate which once has condensed and now is expanding within some higher dimensional space. The elastic substrate is built from tiny invisible constituents, called tetrons, with bond length about the Planck length and binding energy the Planck energy. All ordinary matter particles are quasiparticle excitations of the tetrons gliding on the elastic medium. Since the quasiparticles fulfill Lorentz covariant wave equations, they perceive the universe as a 3+1 dimensional spacetime continuum lacking a preferred rest system. Any type of mass/energy induces curvature on the spacetime continuum as determined by the Einstein equations. The 24 known quarks and leptons arise as eigenmode excitations of a tetrahedral fiber structure, which is made up from 4 tetrons and extends into 3 additional dimensions. While the laws of gravity are due to the elastic properties of the tetron bonds, particle physics interactions take place within the fibers. I will concentrate on three of the most intriguing features of the model: (i) Understanding small neutrino masses from the conservation of isospin, and, more in general, calculating the spectrum of quark and lepton masses. This is obtained from the tetron model's interpretation of the Higgs mechanism. As a byproduct, the connection between the large top mass and the electroweak symmetry breaking becomes apparent. (ii) The possibility to determine the full size of the universe from future dark energy measurements. This is obtained from the tetron model's interpretation of the dark energy effect. (iii) Finally, the origin of the big bang `Hubble tension' within the tetron scheme will be elucidated, and deviations from the standard picture such as a varying Newton constant are discussed.

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arXiv2021

Dark Energy and the Time Dependence of Fundamental Particle Constants

The cosmic time dependencies of $G$, $\alpha$, $\hbar$ and of Standard Model parameters like the Higgs vev and elementary particle masses are studied in the framework of a new dark energy interpretation. Due to the associated time variation of rulers, many effects turn out to be invisible. However, a rather large time dependence is claimed to arise in association with dark energy measurements, and smaller ones in connection with the Standard Model.

hep-ph↗
arXiv2017

Review of the Microscopic Approach to the Higgs Mechanism and to Quark and Lepton Masses and Mixings

This review summarizes the results of a series of recent papers, where a microscopic model underlying the physics of elementary particles has been proposed. The 'tetron model' relies on the existence of an internal isospin space, in which an independent physical dynamics takes place. This idea is critically re-considered in the present work. As becomes evident in the course of discussion, the model not only describes electroweak phenomena but also modifies our understanding of other physical topics, like gravity, the big bang cosmology and the nature of the strong interactions.

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arXiv2015

A microscopic Interpretation of the SM Higgs Mechanism

A model is presented where the Higgs mechanism of the Standard Model is deduced from the alignment of a strongly correlated fermion system in an internal space with $A_4$ symmetry. The ground state is constructed and its energy calculated. Finally, it is claimed that the model may be derived from a field theory in 6+1 dimensions.

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arXiv2014

A Microscopic Approach to Quark and Lepton Masses and Mixings

In recent papers a microscopic model for the SM Higgs mechanism has been proposed, and an idea how to determine the 24 quark and lepton masses of all 3 generations has emerged in that framework. This idea is worked out in detail here by accommodating the fermion masses and mixings to microscopic parameters. The top quark mass can be given in terms of the Fermi scale and of certain exchange couplings of isospin vectors obeying a tetrahedral symmetry. The observed hierarchy in the family spectrum is attributed to a natural hierarchy in the microscopic couplings. The neutrinos will be shown to vibrate within the potential valleys of the system, thus retaining very tiny masses. This is related to a Goldstone effect inside the internal dynamics. A discussion of the quark and lepton mixing matrices is also included. The mixing angles of the PMNS matrix are calculated for an example set of parameters, and a value for the CP violating phase is given.

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arXiv2013

Color and Isospin Waves from Tetrahedral Shubnikov Groups

This note supplements a recent article in which it was pointed out that the observed spectrum of quarks and leptons can arise as quasi-particle excitations in a discrete internal space. The paper concentrated on internal vibrational modes and it was only noted in the end that internal spin waves ('mignons') might do the same job. Here it will be shown how the mignon-mechanism works in detail. In particular the Shubnikov group $A_4 + S (S_4 - A_4)$ will be used to describe the spectrum, and the mignetic ground state is explicitly given.

hep-ph↗
arXiv2012

Chirality and Symmetry Breaking in a discrete internal Space

In previous papers the permutation group S_4 has been suggested as an ordering scheme for elementary particles, and the appearance of this finite symmetry group was taken as indication for the existence of a discrete inner symmetry space underlying elementary particle interactions. Here it is pointed out that a more suitable choice than the tetrahedral group S_4 is the pyritohedral group A_4 x Z_2 because its vibrational spectrum exhibits exactly the mass multiplet structure of the 3 fermion generations. Furthermore it is noted that the same structure can also be obtained from a primordial symmetry breaking S_4 --> A_4. Since A_4 is a chiral group, while S_4 is achiral, an argument can be given why the chirality of the inner pyritohedral symmetry leads to parity violation of the weak interactions.

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arXiv2009

Cosmological Implications of the Tetron Model of Elementary Particles

Based on a possible solution to the tetron spin problem, a modification of the standard Big Bang scenario is suggested, where the advent of a spacetime manifold is connected to the appearance of tetronic bound states. The metric tensor is constructed from tetron constituents and the reason for cosmic inflation is elucidated. Furthermore, there are natural dark matter candidates in the tetron model. The ratio of ordinary to dark matter in the universe is calculated to be 1:5.

astro-ph.CO↗
arXiv2008

Further Development of the Tetron Model

After a prologue which clarifies some issues left open in my last paper, the main features of the tetron model of elementary particles are discussed in the light of recent developments, in particular the formation of strong and electroweak vector bosons and a microscopic understanding of how the observed tetrahedral symmetry of the fermion spectrum may arise.

hep-ph↗
arXiv2006

Tetrons - a possible Solution to the Family Problem

A model is presented, in which fermion and vector boson states are constructed from constituents (tetrons). The model encodes all observed structures and phenomena of elementary particle physics in group theoretic items of the permutation group S_4. Details of the model like symmetry breaking, distribution of charges and mass generation are worked out. As a sideproduct a deeper understanding of parity violation is obtained.

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arXiv1998

Space and Family

Geometrical pictures for the family structure of fundamental particles are developed. They indicate that there might be a relation between the family repetition structure and the number of space dimensions.

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arXiv1998

Spin Physics and Polarized Structure Functions

A review on the theoretical aspects and the experimental results of polarized deep inelastic scattering and of other hard scattering processes is presented. The following items are discussed: longitudinally polarized structure functions, results from the SLAC and CERN polarization experiments, the QCD interpretation and the LO and NLO Q2-evolution of g1, the role of the polarized gluon density, the expectations for x-->0, sum rules, the first moment of the polarized structure function, the parametrizations of polarized parton densities, polarized jet, heavy quark and direct photon production, DIS semi-inclusive asymmetries and elastic neutrino-proton scattering, single and double spin asymmetries, structure functions for higher spin hadrons and nuclei, nonperturbative approaches, the transverse structure function g2, chiral-odd 'transversity' distributions.

hep-ph↗
arXiv1998

Complete Helicity Decomposition of the B-t-tbar Vertex including Higher Order QCD Corrections and Applications to e+e- --> t tbar

The complete density matrix for all polarization configurations in the process B--> t tbar, where B is an off--shell Z or photon and t is the top quark, is calculated numerically including oneloop QCD corrections, i.e. virtual and real gluon contributions in O(alphas). The analysis is done in the framework of the helicity formalism. The results are particularly suited for top quark production at the Linear Collider, but may be useful in other circumstances as well. Relations to LEP and Tevatron physics are pointed out.

hep-ph↗
arXiv1998

Possible Nonstandard Effects in Z+Gamma Events at LEP2

We point out that the so--called 'radiative return' events at LEP2 are suited to the study of nonstandard physics, particularly if the vector bosons are emitted into the central detector region. An effective vertex is constructed which contains the most general gauge invariant eeZGamma interaction and its phenomenological consequences are examined. Low Energy Constraints on the effective vertex are discussed as well.

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