The main topics of his research: chaos in non-linear systems, accretion onto massive black holes, stellar dynamics, observational cosmology. Gurzadyan has papers predicting elliptical accretion disks formed in galactic nuclei at tidal disruption of stars near massive black holes; the tidal mechanism currently is associated to the flares observed in AGN. He has shown the exponential instability in spherical stellar systems and has derived the collective relaxation time. He has formulated a list of 10 key problems in stellar dynamics Cosmic microwave background indications for voids - large scale underdense regions - were obtained by Gurzadyan et al., including on the void nature of the Cold Spot, confirmed by independent galaxy survey, as of possibly largest known structure in the Universe.
Other topics
Gurzadyan has suggested and initiated the use of Compton Edge method for high accuracy testing of the light speed isotropy and the Lorentz invariance at GRAAL experiment in European Synchrotron Radiation Facility ; the obtained limit became a reference number for Special Relativity extension models. Gurzadyan has coined the concept of information panspermia which Webb attributed as Solution 23 of Fermi Paradox. That concept includes the hypothesis that the Universe can be full of traveling extraterrestrial life streams as low-complexity compressed bit strings at von Neumann automata network. He has shown that human genome and hence the terrestrial life possess low Kolmogorov complexity and hence the corresponding bit strings can be transmitted by Arecibo-type antenna to Galactic distances. Gurzadyan and Penrose discussed information panspermia within the Conformal Cyclic Cosmology, and the cosmic microwave background radiation transferring information from pre-Big Bang aeon to ours. He led a study with geneticists in Duke University introducing a new method to detect somatic mutations in genomic sequences, in proposing bath-quantum system viewpoint on the relation of thermodynamic and cosmological arrows of time.
Revealing the chronology of ancient world with astronomical dating
Member of Euroscience Governing Board. Chair of Scientific Organizing Committee of workshop "Ergodic Concepts in Stellar Dynamics", Geneva, 1993; Local Organizing Committee of workshops "The Chaotic Universe", Rome, 1999; “Fermi and Astrophysics”, Rome-Pescara, 2001; IX Marcel Grossmann meeting, Rome 2000. Chair of 'Chaos' Parallel sessions at Marcel Grossmann Meetings, Jerusalem, 1997, Rome, 2000, Rio de Janeiro, 2003, Berlin, 2006. Paris, 2009. Co-editor of International Journal of Modern Physics D, of The European Physical Journal Plus and of book series 'Advances in Astronomy and Astrophysics'. Fellow of the Royal Astronomical Society. Speaker at XXII Solvay conference on physics, keynote speaker at IXth Swiss Biennial on Science, Technics + Aesthetics on “The Large, The Small and the Human Mind”, lecturer at Xth Brazilian School of Cosmology and Gravitation.