Transcript G. Volkov (PNPI, Gatchina)

“The fermion spin structure
in the geometry of Abelian
and non-Abelian finite groups"
G.Volkov
with collaboration A. Maslikov
Gatchina, Russia, June 30 – July 4,
2014
Hadron Structure and QCD:
from Low to High Energies
GEOMETRY SM
• The apparatus of $D4$- dimensional
quantum field theory, created in the 50's,
and successfully applied to the particle
physics and cosmology, requires intensive
development of geometric ways
associated with non-trivial extension of
• D = 3 +1 Minkowski space-time..
EXTRA WORLD IDEAS
• During the last ~15 years we related such
a development to the searching for new
Riemannian and tensor structures in
multidimensional spaces D > 4 based on
the theories of new hyper-numbers, new
algebras and new symmetries. We refer
to the theory of numbers - theory of
reflexive numbers and then to theory of
the cyclic C^n- complex numbers
MODERN SITUATION IN
THEORY
• More than 40 years of development of physics of quarks and leptons
in the framework of quantum field theories based on the space-time
Lorentz-Poincare D=(3+1)-symmetry and internal gauge
symmetries, originating in a huge class of Killing-Cartan-Lie
algebras and their infinite-dimensional generalizations of affineVirasoro algebras and Kac-Moody led science now time to a
standstill. Global and local Supersymmetrizing these approaches
also failed to advance in our understanding of the myriad mysteries
of the microcosm of elementary particles, which have tried to
describe in the so-called welfare of the Standard Model and various
generalizations in the light of the
• Grand Unified Theories or
• Theories of All Things
• D-dim Supergravity
• MSSM
• ……….
NON STANDARD SM
• What we see his originality? Primarily due to the fact
considerable experimental data obtained during this
period, which clearly indicates that even the notion of
geometry of the surrounding space-time needs
considerable expansion. So, if a quantum
electrodynamic processes occurring in the observed
charged matter are well described in the geometry of
homogeneous isotropic D = (3 +1) space-time continuum
on the symmetry group of the Lorentz-Poincaré-$ ISO
(3,1) $, then in weak processes associated with the
Structure of vacuum at a distance <10 ^ {-15} cm we
observe a violation of spatial P-parity, and then,
successively, at even shorter distances, is a violation of
the combined CP-parity
EM-Charge, Spin, Сolor, Families, Mass
• And then the question arises, what will happen to simmetriyamit
Lorentz group-whether it will be broken or vice-versa, expanded. If
physics broken symmetries indicates the existence of some
singularities in the structure of space-time continuum, its extension
will be connected to the global expansion of our observable spacetime, and at the macro description of our visible universe can point
to the fact that our universe is immersed in a huge Universe multidimensional world with their particular spatial and temporal
laws and, accordingly, with unusual for us the concepts of space and
time. This world would have generated new kinds of matter, which
could be called right-matter of the elements that created the Dirac
matter our observable universe, with all its fundamental
characteristics of mass, EM and color charge, spin.
I. Evolution of the concept of Light
and Time
•
•
•
1. Absolutism Light and Time in the historic look.
2. Aristotle about the impossibility of detecting absolute motion.
3. Revolution in the physics of light-speed measurement of the light signal.
4. From mechanistic era of Galileo - Newton before the opening of
Maxwell
Luminous essentially electrical and magnetic phenomena substance.
5.Absolyutizm Light as an axiom about the maximum signal transmission
visible universe.
Light 6.Elektrodinamicheskaya nature as the basis of creation of the
Special Theory
Relativity.
7. Major Commandments D = (3 +1)-dimensional special relativity.
8. Symmetries and fundamental characteristics of D = (3 +1) space-time: the time-distance - mass-email. charge.
9. Do = D worlds is (3 +1) - spatiotemporal
continuum of the universe?
10. Neutrinos - a guide to the new universe.
II.Electron on space-time geometry
• 1. The atom and the discovery of the electron.
2. Opening quantization.
3. Galilean electron spin in quantum mechanics.
4. Opening anti-peace and triumph of D = (3 +1) space-time
structure of the electron in the relativistic theory.
5. Proton-neutron and electron structure of atoms and nuclei.
6. Three kinds of instability of matter and three kinds of
interactionselectromagnetic, nuclear, weak.
7. First indications of the existence of a new kind of matterneutrino.
8. Essence of the weak interaction of all constituents of matterproton-neutron-electron-neutrino
III.Quarks and leptons in D = (3
+1)-dimensional space-time.
• Matter and radiation, two forms of existence of matter. Role of spin.
The quark structure of the proton - neutron and opening colors.
On the possible common nature of the electromagnetic properties of
quarks and charged
leptons.
4. Stations and electromagnetism as the foundation of SM.
5. Light and color. Properties of the vacuum EM and QCD.
6. Triplicity quark colors and generations.
7. Problem of quark and lepton masses.
8. Features of the weak interaction and its role in the discovery of
new
vacuum.
9. Role of quark-lepton generations in the formation of our universe
10. What awaits us beyond the range of the weak sector?
11. Existential base decisions CM.
IV. Microcosm of the expansion of
space-time
• 1.Dualizm internal symmetries of the matter fields and external
symmetries of space-time.
2. Fields and SM particles on the geometry of space-time.
3.Sverhvysokie energy and the possibility of combining the three
types of interaction.
4. On the grand unified theories in D = (3 +1)-dimensional spacetime.
5.Istorichesky experience stations and extra large dimensions of
space-time.
6. Kaluza-Klein's ideas about the role of small compact
dimensions in the structure of the vacuum
electromagnetism and axioms SRT-singularity, foam, chaos.
7.Superstruny and D-branes in D = 10,11,12-dimensional spacetime.
8.Ot multidimensional Lorentz spaces to the discovery of
topologically non-trivial geometry.
V. Neutrino way to a new universe.
• V. Neutrino way to a new universe.
1. Sterility. There are no known charge properties.
2. Majorana. Spin.
3. Lack of Dirac masses.
4. Singular object in the station.
5.Ternarnaya model neutrinos and neutrino charge.
6. Geometry neutrinos with global extra dimensions and new
matter.
7. Neutrinos the expansion of the special theory of relativity.
8. From Light to absolutism absolutism neutrino luminosity.
9. New vacuum solution CM. Nature of quarks and charged
leptons.
Education EM charge and colors.
10. Geometry of Majorana neutrino and stability of the proton /
electron.
11.Delim whether an electron?
VI.Experimental ways to explore space-? ?
temporal properties of neutrinos.
• 1.Istochniki neutrino production in space and on Earth.
2.Neytrino from a supernova.
3.Iskusstvennye way the neutrino: reactors and
accelerators.
4.Nazemnye Accelerators and processes of creation
of neutrino beams.
5.Geografiya underground and underwater neutrino
laboratory.
6.Eksperimenty the dynamics of propagation of
neutrinos in vacuum and in matter.
7.Neytrinnye experiments on the multidimensional
structure of our world.
8.Detektirovanie neutrinos and dark matter.
VII. Neutrinos and geophysical problems of the Earth?
Planets and the solar system
.
• 1.ICM structure of the Earth.
2. Cataclysms and catastrophes.
3.Tomografiya Earth.
4. Study energy problems associated
with inorganic carbonyl formation
mechanism in the Earth's mantle.
5.Perspektivy exploration of the Moon,
Mars ...
.
VIII. Long-distance neutrino
projects in the world.
•
• 1.Development long-distance physics of neutrino
beams in the U.S. (FNAL_Bataviya), Europe
(CERN), Japan.
2.Vozmozhnye projects in Russia.
3.Vozmozhnost create alternative
electromagnetic wave of a new kind of
Communications Communications between
centers, located on Earth and in Space.
4. Neutrinos and future of mankind
IX. Conclusion. Will we see the
light neutrino?
• The fundamental paradox RELATIVITY
Extensions of Relativity Theory
third postulate
Our dramatic experience in trying to explain the physicists at CERN
and many other international and Russian centers for high energy
physics and particle physics, our goal in conducting cycles neutrino
experiments to measure the speed of propagation of neutrinos
made ​us realize the central paradox of the theory of relativity? In the
long process of dialogue we are finally able to understand the roots
of this paradox, which were related to the fact that all our opponents
with whom we communicate our ideas and proposed projects and
the possibility superlyuminalnoy neutrino velocity, found his
misunderstanding of relativity, which was found primarily in a
profound misunderstanding of the limits of applicability of the theory
itself?
PARADOX OF TO
•
How could it happen that a significant number of physicists, both
theoreticians and experimentalists, met all of our proposals with complete
bewilderment and even anger-backlash and hysterical insults without taking
into account such natural argument that any theoretical views have
individual chelovecheckogo the boundaries of their reasonableness and,
accordingly, the borders of their practical application. In its evolution,
mankind has been met with such tragic events, when the brilliant
discoveries over time and became taboo absolutised for the next stage in
the development of any new ideas and further creative activity and, as a
result, for many years to become a stumbling block to further progress . It
goes this direction, undoubtedly play a prominent role, and gradually
becomes a dogma, as a rule, all long-term and even centuries old traditions
of many, many lives prisvaivayuvayutsya one individual from which, over
time, make a god, thus completely distorting the history of science. Since
the opening of the electrodynamic nature of the world is going for several
thousand years, and history remembers many ancient civilizations progress
milestones (..., ancient Babylon, ancient Egyptian, ancient Greek, and
others) who are already interested in the nature of light and unusual
electrical and magnetic properties of matter and its corpuscula structure atoms.
PARADOX 2
• It is well known Aristotelian philosophical saying that
Nature abhors a vacuum! And the great achievements of
European civilization which started in the Renaissance,
in the understanding of what space and time? That only
is opening finite speed of light and its izmerenie at the
Paris Observatory in 1676? A 300-x-year historical
discoveries in electricity and magnetism, preceding the
final work of Faraday and Maxwell, which resulted in the
association properties of two kinds of matter-radiationlight and matter with its electrical and magnetic
properties?
PARADOX 3
• Our ideas and designs were based on the fact that TO (Relativity) in
the form in which it was formulated in the early 20th century, is not
complete! Recall that abbreviatura-"Theory Lightroom" - was
proposed by Henri Poincare in 190??? year when, after opening
Maksvelovskih electrodynamic equations and experimental
evidence Hertz electrodynamic nature of light, all attempts to
understand the "physical nature" absolutism speed of light, which
have been specially made ​in the late 19th century, ending with
"failure." Faktichecki this question hung in the air, since the
experimental discovery of the atomic structure of matter, radiating
electromagnetic waves, appeared much later and, accordingly, the
physical understanding of the beginning of the new phenomena at
the time just could not be.
• Michelson-Morley experiment, as all previous numerous
experiments to measure the speed of light, for the first time
successfully conducted Olaf Roemer back in 1676, regardless of the
productions of experiments gave the same value of the speed of
light -298792458 km/sek- and it experimentally proven property
absolutism light underlie the theory of relativity, the mathematical
formulation of which was presented in the form of two principles - a)
the principle of relativity (Galileo) and b) the symmetry principle of
invariance (covariance) with respect to the Lorentz transformation
group. To correct formulation of these principles have to keep in
mind a purely mathematical concept of inertial and non-inertial
Cartesian coordinate systems and their potential use to describe
prakticheki fizichekoy described phenomena. Global and local use
of these concepts shared by the very theory of relativity that from its
generalizations - general relativity - relativity. OTO
• In fact, the discovery of the group of Lorentz transformations
preserve invariance of Maxwell's equations, together connected at
the physical laws of symmetry and geometry. TO acknowledged
ideas Erlangen program (Klein 1870), ushered in a new era in the
development of group-invariant approach in physics, in which the
laws are based on the theory of invariants corresponding to the
group transformations. If you go further, based on the invariance of
Maxwell's equations under the group of Lorentz transformations
were greatly expanded our knowledge o Structure of space and
time. That is our progress in understanding the electrodynamic
nature of light led to the discovery of D = (3 +1) - space-time
continuum, described transitive group of Lorentz symmetry SO (3,1),
which preserves the metric ds ^ 2 = c ^ 2dt ^ 2-dx_1 ^ 2-dx_2 ^ 2dx_3 ^ 2!
TO>ETO
•
•
But mathematically formulated two principles THAT was clearly not enough for a
deeper understanding of the nature of light and its associated structure of space-time.
For completeness, the physical picture in the first thing is not enough introduction to
the theory of all material objects, which must operate theory, as well as definitions of
their fundamental properties. Introduction matter with specified properties should
determine the completeness of the theory.
In fact, THAT was formulated only on the basis of progress in the understanding of
only one kind of matter-matter radiation. Naturally, for the completeness of the theory
required a corresponding progress in studying the properties of the members of
another kind of matter-matter involved in the electromagnetic interaction - electron,
proton, neutron, nuclei, atoms ... As is well known, all this knowledge in sufficient
volume were obtained much later only 30 years am 20th century! (Many of the
classics of the era from the late 19th century and early 20th-century pioneers TO
already passed away - Poincare in 1912, Lorenz in 1928, ...) This is the opening of
the electron spin, a later discovery of new types of matter-antimatter and, of course ,
neutron-significantly deepened our knowledge of the structure of space-time, which
allows describing its Lorentz symmetry group SO (3,1).
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• If the discovery of the electron spin and the nuclei led to the creation
of a quantum generalization of the classical mechanics of GalileoNewton framework of quantum mechanics, it is already fully
disclosed the discovery of the positron us all possible spin
properties of D = (3 +1)-dimensional space-time continuum in the
framework of the Lorentz group that gave in those days every
reason to consider such a world as a complete geometric picture of
our universe? Of course, the institutional structures of atoms and
nuclei raised new fundamental questions about the proton-neutron
SU (2) - the difference between the isotopic symmetry and
properties of the electron and nucleon relatively strong interaction,
which in our discussion of it can be deferred, since we can not link
or explain these circumstances under any representations of the
Lorentz group and its extensions - the Poincare group. At this point
we begin to distinguish between formal properties of material objects
to external related to space-time symmetries and internal, which we
associate with some internal symmetries.
TO > ETO
• Abstracting from the description of internal symmetries and their
corresponding properties of material objects, we come to the
concept of the duality of our world. On the one hand, space-time
symmetries and admit the existence of two specific types of matter
and radiation-veschestva, which describes a number of fundamental
parameters of the theory, charge, spin and mass. Conversely, the
fundamental properties of material objects propagating in
okruzhayuschem us the world can give us a lot of knowledge about
the geometry of this world, that is, give us a specific geometric
representations of space and time and their symmetries! If the
question of the origin of mass (m_e = 9,1 x 10 ^ {-28} g) still requires
further investigation, that D = (3 +1)-dimensional space-time
continuum within the Lorentz-Poincare symmetry should be
described clearly established close laws as kinematichekih and
dynamic.
TOETO
• By law we refer kinematic maximum speed of signal propagation,
which has only a light or some chasttsa massless, but as a
parameter can dinamicheskogo rassmatrivaetsya Planck's constant
h = 6, 6x10 ^ {-27} erg s = 4.1 x10 ^ {-15} eV s, which characterizes
this D = (3 +1) space-time continuum as a quantum.
Now if we want to consider how a complete theory describing the
dynamics and kinematics of the matter in D = (3 +1) space-time
continuum, we need to introduce an additional third postulate, giving
a clear definition of material objects and their spatial and temporal
properties in full compliance with representations of the LorentzPoincaré. Third postulate gives us expansion relativity strictly
defines the kind of matter which in accordance with the LorentzPoincaré group must have the following space-time properties:
radiation - a particle with spin 1, and matter-matter is 4-component
Dirac fermions with spin 1 / 2.
TO--->ETO
•
As a result of the extended definition of the theory of relativity said matter in
this space-time continuum has electromagnetic properties and the charge
for it is obliged to act in the law about the maximum speed of propagation of
the signal, ie this kind of matter can not travel faster than the speed of light.
These material objects are all already open still fundamental fields - the
nucleons (protons and neutrons), mesons, charged leptons (electrons
muons tau leptons) quarks, that is all what we describe as the Dirac
fermions. This fermionic matter can be called Dirac. Existence or discovery
matter with properties different from those of Dirac, may be subject to other
laws as the kinematic and dynamic. So if the neutrinos would Majorana
nature (so far this question has as yet been resolved), this condition could
be a first indication of the existence of a new kind of matter,
nevpisyvayuschegosya in normal em-matter and, therefore, could have a
new space and temporal properties different from the similar properties of
Dirac fermions nature. It is this circumstance was the idea Ammosova V.
Volkov and offer a series of experiments to measure the speed of neutrinos
in order to test the possible extension of the Majorana neutrinos faster than
light.
TO -->ETO
• Their arguments were the issues of education Dirac matter of more
fundamental, so-called, first mother. In this scheme, the 3-neutrino
would play a liaison role between the right matter and em-charged
Dirac matter, that is our visible world. According to the authors of
these ideas such experiments difficulties associated with problems
of a more detailed study and understanding of the dynamics of
neutrino propagation of waves at different initial conditions of the
experiments and a more efficient way for detecting neutrino events.
In more detail, in view of widespread scientific literature negative
phenomenon plagiarism some ideas remain copyright secrets. Thus,
in these experiments there is a big risk to meet with a well-known
paradox of Galileo Galilei (known example from the history of the
gondola-that is, to measure the velocity of uniform motion of the
gondola, while strictly inside it and having no communication with
the outside world-shore). The authors planned experiments need to
understand how to avoid similar problems.
TO PARADOX SOLVED
•
Another example of a Dirac-matter could be the dark matter, the opening of
which is currently one of the most important tasks in experimental
microcosm physics and astrophysics. But if the neutrino research conducted
numerous experiments already known programs, the search for dark matter
is mainly carried out without a clear understanding of the spatial and
temporal properties of it that much zatrudnyaet possible to detect it! Based
on our understanding of the extended theory of relativity, dark matter could
have a different meaning back, and so in this way stands a mathematical
problem of finding such a space symmetry which allow them to have
unusual spin structure different from Dirac. Understanding the role of spin in
the expanded theory of relativity can be paramount in solving problems of
particle physics as well as in the formation of the visible part of the universe.
So in the ternary model neutrinos appears the possibility of opening new
spin structures in physics that we associate with specific spinor properties of
dark matter. Therefore, a clear opening of dark matter can open us a
window into new worlds - outside extensions of relativity theory. Such
objects law about the maximum speed of light is not available, and mankind
could significantly closer the time, newly emerging
WAYS TO FIND NEW NONTRIVIAL SPACES
•
•
•
•
•
•
•
1. HYPER BINARY NUMBERS
2.REFLEXIVE PROJECTIVE NUMBERS
3 N-ARY NUMBERS-CYCLIC NUMBERS
4. N-ARY HYPERNUMBERS
5.FINITE GROUPS-NON-ABELIAN CASE
6 CLIFFORD ALEBRAS
7.p-adic Numbers,…
THEORIES OF NORMED
DIVISION BINARY NUMBERS
THEORIES OF N-ary-NUMBERS
FINITE GROUPS
28.03.2017
28.03.2017
28.03.2017
28.03.2017
28.03.2017
28.03.2017
TWO TERNARY UNITS
• HAMILTONIAN WAY
AMK-04
TABLE OF HYPERSURFACES
FOR CYCLIC NUMBER C2,..C_6
TO >ETO> ???
• By the works of the author, V. Ammosova,
D.Baranova, A. Dubrovsky, V.
Veligzhanina, A. Zichichi, L. Lipatov, A.
Maslikova, A. Sabio Vera, V. Samojlenko,
M. Rausch de Traubenberg 1999 - 2014
period.