Arbeitsgebiete:

Cosmology

a) Galaxy formation
In contrast to the widely accepted scenario of structure formation via cold dark matter a new scenario of galaxy formation without cold dark matter is developed. It bases essentially on the fact that the baryonic mattter after recombination is an Einstein-Boltzmann gas which runs within a time of about 3x10⁶y into a state of very close to collision-dominated equilibrium. This state is characterized by extremly sharply bounded gas clouds. The mass spectrum of axially symmetric clouds agree very well with observations.

Publications :
"Galaxy Formation just after the Recombination Period", G. Lessner, General Relativity and Gravitation 26, 385 (1994)
"Galaxy Formation just after the Recombination Period - A Supplement", G. Lessner, General Relativity and Gravitation 27, 417 (1995)
"Galaxy formation - a condensation process just after recombination", G. Lessner, Nuovo Cimento 113 B, 93 (1998)

b) Origin of the universe
A new paradigm in cosmology is proposed: The origin of an open ever-oscillating universe via a geometrical phase transition from Minkowski space.

Publications :
"An open ever-oscillating universe", G. Lessner, Nuovo Cim. 116 B, 59 (2001)
"On the origin of an open ever-oscillating universe", G. Lessner, Nuovo Cim. 117 B, 219 (2002)
"Oscillating universe - an alternative approch in cosmology", G. Lessner, Astrophys. Space Sci. 306, 249 (2006)

Five-Dimensional Relativity

The vacuum field equations

in 5-dimensional relativity are interpreted as a purely microscopic theory describing the inner structure of extended elementary particles. Particles are in this theory given by axially symmetric, asymptotically flat and weakly singular solutions so that the integrals of mass (energy), charge and spin exist.

Publications:
" Axially Symmetric pp-Waves and their Interpretation as Extended Massless Particles", G. Lessner, General Relativity and Gravitation 18, 899 (1986)
" Einstein-Maxwell Null Fields and Extended Massless Particles with Helicity", G. Lessner, General Relativity and Gravitation 22, 913 (1990)
" G. Lessner, Five-dimensional relativity and extended elementary particles " Ann. Phys. (Berlin) 18, No.6, 410 (2009)

Statistical Mechanics

Liouville's equation is extended by a universal stochastic operator which takes into account the stochastic interactions between particles and an electromagnetic background field (temperature field).

An irreversible thermodynamics is derived on the basis of the hierarchy equations following from the stochastic Liouville equation.

An application of the theory to the electric conductivity of cold plasmas yields excellent agreement with experimental data.

Publications:
"Stochastic statistical mechanics", G. Lessner, Physica A 196, 625 (1993)
"Stochastic statistical mechanics and electric conductivity of a cold plasma", G. Lessner, Physics Letters A 221, 293 (1996)