The main features of the microscopic theory can be described as follows:
I.
-Our universe is a 3-dimensional elastic substrate which once has condensed
and now expands within some higher dimensional space (with dimension >=6).
-The elastic substrate is built from invisible 'tetron' constituents with
bond length about the Planck length and binding energy the Planck energy.(*)
-All ordinary matter quarks and leptons are quasiparticle excitations gliding
on the elastic tetron substrate.
-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.
II.
-The 24 known quarks and leptons arise as excitations of a tetrahedral fiber structure,
which is made up from 4 tetrons and extends into 3 additional 'internal' dimensions.(**)
-While the laws of gravity are due to the elastic properties of the substrate,
particle physics interactions take place within the internal fibers,
with the characteristic interaction energy being the Fermi scale.
-The masses of quarks and leptons can be determined from a Heisenberg type of Hamiltonian
which describes the interactions of 2 neighboring tetrons.(***)
-3 of the quasiparticle excitations naturally have tiny masses, due to the
conservation of total internal angular tetron momentum, and correspond to the 3 neutrino species.
-As a consequence of the free rotatability of the tetron isospins over each base point
there is a local SU(2)xU(1) gauge symmetry.
-Electroweak spontaneous symmetry breaking takes place when neighboring tetron isospins
align (freeze out) at energies/temperatures below the Fermi scale.
-Weak parity violation arises from the handedness of the internal tetrahedrons.
-Finally, Higgs fields and gauge bosons are excitations of bound tetron-antitetron
pairs of neighboring fibers.
(*) Tetrons transform as the spinor representation 4 of SO(6) resp 8 of SO(6,1).
Details of the model like
symmetry breaking, distribution of charges and
mass generation are to be found in the following publications:
Space and Family, my first paper
on the subject, contains the main idea and a geometrical
interpretation, which is still relevant at this time
e.g. for inclusion of
gravity. Spacetime is considered discrete at very small distances,
with only permutation symmetry transformations remaining relevant.
When a fermion tetrahedron moves through a gravitational
field, the directions of its 4 tetrons are given by the 4-bein
which defines the gravitational field at that point.
World of Tetrons contains a first
approach to the formation of vector bosons from tetrons
Development of the Tetron Model
Some Remarks on the Tetron Spin Problem
The History of the Tetron Model (in german)
Chirality and Symmetry Breaking in a discrete internal Space,
Internal space is interpreted as a vibrating
'crystal' or 'molecule' with pyritohedral symmetry,
quarks and leptons being the normal modes of the vibrations.
Color and Isospin Waves from Tetrahedral
Shubnikov Groups, an important supplement of the previous paper,
in which internal spin waves are considered.
A microscopic Interpretation of the SM Higgs Mechanism,
an extension to include the whole Standard Model symmetry breaking in the model
A Microscopic Approach to Quark and Lepton Masses and Mixings,
an attempt to calculate the mass spectrum of quark and leptons. A newer and more elaborate
calculation can be found HERE.
Some Conclusions to be drawn from the Tetron Model concerning Cosmology and Fundamental Constants:
... and here is the paper that summarizes the results:
Dark Energy and the Time Dependence of Fundamental
Particle Constants
My 2021 Talk at the 16th Marcel Grossmann Meeting in Rome gives a good
overview on the subject.
In 2022 I have returned to particle physics and tried to understand the
origin of the Weinberg angle from tetron properties. Results are described, for example,
in my Contribution to
the 2023 Hamburg Conference of the European Physical Society and in
reference 11 of that file, i.e. in
B. Lampe, Fortsch. Phys. 72 (2024) 5, 2300258.
In this connection I have written 2 recent articles, one with a ab initio calculation
of the PMNS and CKM mixing of quarks and leptons
and of the mixing between Z-boson and photon.
At that time there were the `preon models' - assuming quarks and leptons to be composed
of smaller constituents - and the community had just agreed that such models cannot
be built in a natural and consistent manner, most of all because of the extreme
difference between the pointlikeness and necessarily high masses of the constituents
and the relatively small masses of most quarks and leptons. I had followed the ansatz
with curious interest, but not written any paper on the subject, feeling that this kind
of approach was missing some essential ingredient.
Anyhow my main work was on QCD and my task at Fermilab was to discuss properties of
hadron jets with someone from the lab staff. We had some interesting conversations,
but when it came to filling a permanent scientific position the other year, I got away
empty handed, as in all other institutions where I ever introduced myself.
The colleague had time only in the afternoons, so in the mornings I felt free to try
to invent some ideas about the underlying nature of the quark lepton multiplet structure.
There are so many reliable experimental results in that area that I thought quark and
lepton properties to be a good starting point in order to develop a really fundamental
theory. I further thought that if anything is of importance at all in this world of shadows,
it is not logics or biology, not money or the rules of societies, but the deep structure of
the physical universe.
I did not want to follow the mainstream SUSY, GUTs, Strings etc. These models emphasize
symmetry (which is important, no question) but do not place enough value on a possible
real material background, on which in my opinion any symmetry structure having to do with
matter has to rely. I wanted to take this into account, when starting to develop a unified
theory of my own. Since I had made elaborate studies in natural philosophy, I thought that
I could do better.
In reality, my considerations did not start with such high demands. I set my sights lower
and tried to get forward step by step. So actually, during my Fermilab stay I did not come
up with final answers. I just made some observations which were to become important in later
years. Namely, I noticed that the total of 24 quarks and leptons had some structural
similarity to the ordering of the 24 group elements of the tetrahedral point group.
Could be an accident, but I scanned many possibilities and did not find better answers.
Since as a young student I had some interest in theoretical chemistry, I began to restudy
some textbooks on the tetrahedral point group with the idea in mind that tetrahedrons could
supply a quark lepton substructure in a somehow more consistent manner than preon models do.
It was only much later, in the new millenium, that I began to consider physical space
to be made up of a discrete tetrahedral isospin arrangement and the observed `elementary
particles' as excitations thereon.
The tetrahedral point group stayed in my head for a while, before I decided to publish,
at least as a preprint, in 1998. Shortly afterwards I left scientific
research because I did not find a permanent position. For a while I was
frustrated and avoided all physics topics. It was only another 10 years later
and after writing a novel of about 1000 pages, dealing with the side issues of
life, that I returned to the problem, now as a private scholar and at first in a
rather playful manner.
The first main problem I encountered was that the representation spaces
of the tetrahedral group do not match the quark lepton multiplet structure
exactly. In 2012 I realized that one of the tetrahedral black-and-white point
groups when taken over from spin to isospin space does a better job. Accordingly,
I introduced a tetrahedron of isospin vectors, and considered their interaction as
a sort of `isomagnetism'. Quarks and leptons were then interpreted as vibrations of
the isospin vectors. I noticed quite soon that there naturally arise 3 massless
modes (interpreted as neutrinos) whose masselessness can be attributed to the
conservation of isospin. I furthermore realized that (in contrast to an ordinary
tetrahedron) a tetrahedron of pseudovectors is chiral, and that this can be used
to explain the parity violation of the weak interacation.
In 2013 I united physical and isospin space to a larger 6-dimensional space, with
a corresponding 6+1 dimensional spacetime continuum and began to understand the
SM Higgs mechanism as an alignment of isospin vectors in that space. This requires
that each point of 3-dimensional physical space actually is a tetrahedron, not
extending into physical space but into the 3 extra dimensions. In other words,
our universe is an invisible elastic substrate, microscopically formed by aligned
isospin tetrahedrons. The tetrahedrons consists of tetrons transforming
and making up the backbone of our universe. Furthermore, the transformations
in isospin space are not just abstract symmetry operations but corresonds
to real rotations in 3 extra dimensions.
and the SM SSB is obtained as an `isomagnetic' symmetry breaking
where isospin vectors form tetrahedrons which are aligned
thus breaking the original isospin SU(2) symmetry.
I solved in passing another problem I always have had with particle physics philosophy.
How does electron on one side of the universe know that it should behave the same way
as an electron on the other side? How can all the information about
the SM SSB buried in objects as light as neutrinos?
Also the vast difference beween the Planck and the Fermi scale (known as the
hierarchy problem) becomes understandable within the tetron theory.
Finally, here is a list of my older research activities
A naive philosophers view on COSMOLOGY
Research Interests and Activities
In the last years I have concentrated on one project only:
the elaboration of the microscopic tetron theory.
It is a model for the substructure of Quarks and Leptons and
actually a new Conception of the Universe, because
it deals with many contemporary problems, from the
understanding of fermion families and quark lepton masses and
mixings to the problem of
the accelerated expansion of the universe (dark energy).
I have become so convinced of this approach that in the meantime I
consider the whole physical reality through the glases of this model.
Everything seems so clear and plausible now.
(**) Actually the tetrahedrons are formed by tetron isospin vectors and have a tetrahedral Shubnikov symmetry.
(***) The Hamiltonian can be written in terms of the tetron isospin vectors, see the enclosed review talk.
Particle Physics and Cosmology in the Microscopic Model,
a complete review which includes also an interpretation of gravity in the tetron model
General Relativity from Elasticity of Tetron Bonds
Space and Time Dependence of Fundamental Constants
About the Value 1/137 of the Fine Structure Constant
2007
2008a
2008b
2009
2010
2011
2012/13
2013
2014a
2014b
2015/16
2018 QCD and the tetron model
2018 fundamental tetron interactions
The ground laying idea actually started as early as 1987. When I visited Fermilab
that summer, I was accompanied by my wife and our son half a year old. We stayed
for a month and were given the opportunity to live in one of the traditional houses
on the Fermilab property. We did it with ease to bring the fire brigade to the scene
on one of the first days.
other Publications: follow this link
or this link
Biographical Notes
1. Leptoquarks
2. Top Quark Physics
3. Polarization Phenomena
4. QCD Effects
wissenschaftskritische Arbeiten
e-mail an: Lampe.Bodo@web.de