Menas Kafatos

Publications (12)0 Total impact

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  Available from: Sisir Roy

  Article: Dynamic Multiple Scattering, Frequency Shift and Possible Effects on Quasar Astronomy

  Sisir Roy, Malabika Roy, Joydip Ghosh, Menas Kafatos
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  ABSTRACT: The shifting of spectral lines due to induced correlation effect, discovered first by Wolf for the single scattering case which mimics the Doppler mechanism has been extended and developed further by the present authors known as Dynamic Multiple scattering(DMS). We have explored DMS theory for explaining anomalous redshifts in quasars. Our recent work, based on the statistical analysis of the V\'eron-Cetty data(2003) supports that quasar redshifts fit the overall Hubble expansion law, as in the case of galaxies, for z less than equal to 0.295 but not for higher redshifts, indicating clearly the inadequacy of the Doppler effect as the sole mechanism in explaining the redshifts for high redshift quasars for z greater than equal to 0.295. We found that the redshift posseses an additive, discordant component due to frequency shifting from the correlation induced mechanism which increases gradually for ~ 0.295 < z < 3.0, however, appearing to follow the evolutionary picture of the universe with absolute dependence on the physical characteristics i.e., environmental aspects of the relevant sources through which the light rays pass, after being multiply scattered.
  02/2007;
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  Article: Statistical Analysis of Quasar Data and Hubble Law

  Sisir Roy, Dhrubajit Datta, Malabika Roy, Menas Kafatos
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  ABSTRACT: The linearity of the Hubble relationship (i.e. between m and z) has been tested for galaxies and supernovea for low redshifts. We have studied this relationship for quasars for data taken from Veron Cetti Catalogue(2003).The data from Veron Cetti Catalogue for quasars appear to be truncated. The data have been analyzed using various statistical methods which are suitable for analysing the truncated data. This analysis shows lineraity (in log z) of Hubble law for very small z but non-linearity for high redshift.This will shed new light not only on the quasar astronomy but also in the cosmological debate.
  06/2006;
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  Available from: Sisir Roy

  Article: Geometroneurodynamics

  Sisir Roy, Menas Kafatos
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  ABSTRACT: Hilbert space structure is assumed as a valid geometric description for neurodynamics, i.e., for applying any kind of quantum formalism in brain dynamics. The orientation selectivity of the neurons is used as a justification to construct a type of statistical distance function which is proportional to the usual distance (or angle) between orientations of the neurons. The equivalence between the statistical distance and the Hilbert-space distance is discussed within this framework. It gives rise to the possibility of reanalysing the issue of measurement and information processing in the brain function
  12/2003;
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  Available from: Sisir Roy

  Article: Variation of Physical constants, Redshift and the Arrow of time

  Menas Kafatos, Sisir Roy, Malabika Roy
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  ABSTRACT: Theories of fundamental physics as well as cosmology must ultimately not only account for the structure and evolution of the universe and the physics of fundamental interactions, but also lead to an understanding of why this particular universe follows the physics that it does. Such theories must ultimately lead to an understanding of the values of the fundamental constants themselves. However, all such efforts have failed, leaving fundamental constants outside of any physical theories. In this paper we take a different approach than the usual evolutionary picture where the physics itself is assumed invariant. We study numerical relations among fundamental constants starting from relationships first proposed by Weinberg (1972). We have shown (Kafatos et al.2000) that they turn out to be equivalent to the relations found by Dirac (1937). Then a new scaling hypothesis relating the speed of light $c$ and the scale of the universe $R$ is explored.
  06/2003;
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  Available from: Sisir Roy

  Article: Quantum processes, space-time representation and brain dynamics

  Sisir Roy, Menas Kafatos
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  ABSTRACT: The recent controversy of applicability of quantum formalism to brain dynamics has been critically analysed. The prerequisites for any type of quantum formalism or quantum field theory is to investigate whether the anatomical structure of brain permits any kind of smooth geometric notion like Hilbert structure or four dimensional Minkowskian structure for quantum field theory. The present understanding of brain function clearly denies any kind of space-time representation in Minkowskian sense. However, three dimensional space and one time can be assigned to the neuromanifold and the concept of probabilistic geometry is shown to be appropriate framework to understand the brain dynamics. The possibility of quantum structure is also discussed in this framework.
  05/2003;
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  Available from: Goro Kato

  Article: Sheaf Cohomology and Geometrical Approach to EPR Non-locality

  Menas Kafatos, Goro Kato, Sisir Roy
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  ABSTRACT: A consistent geometrical approach to EPR non-locality as well as other non-local effects in QM like the Aharanov-Bohm effect, Berry phase, Gauge theories within Yang-Mills theory etc. is possible within the framework of sheaf cohomology. This sheds new light on our understanding on non-local correlations in QM, and provides a fundamental mathematical approach to fundamental problems in physics.
  12/2002;
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  Available from: Goro Kato

  Article: Category theory as the language of consciousness

  C Struppa, Menas Kafatos, Sisir Roy, Goro Kato, Richard L Amoroso
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  ABSTRACT: A form of Category theory with Grothendieck topologies is utilized to provide a preliminary mathematical formalism allowing the mathematical interpretation of the ideas of the principles of a conscious universe. Category theory is the most generalized form of mathematics and as such is shown to be the most suited tool for establishing a link between physical theory and perennial philosophies.
  Noetic Journal. 08/2002; 3.
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  Available from: Sisir Roy

  Article: Shift of Spectral Lines due to Dynamic Multiple Scattering and Screening Effect: Implications for Discordant Redshifts

  Sisir Roy, Menas Kafatos, Suman Datta
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  ABSTRACT: The frequency shift of spectral lines from astronomical objects is most often explained by the Doppler Effect arising in relative motion and the broadening of a particular line is supposed to depend on the absolute temperature, pressure or the different line of sight velocities. The Wolf effect on the other hand deals with correlation induced spectral changes and explains both the broadening and shift of the spectral lines. In this framework a sufficient condition for redshift has been derived and when applicable the shift is shown to be larger than broadening. Under this condition of larger shift than broadening we find a critical source frequency below which no spectrum is analyzable for a particular medium. This gives rise to new type of screening effect which may play significant role both at laboratory scale as well as in the astronomical domain. We apply a simple interpretation of the discordant redshifts in galaxy-quasar associations.
  05/1999;
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  Available from: Sisir Roy

  Article: Broadening of Spectral Lines due to Dynamic Multiple Scattering and the Tully-Fisher Relation

  Sisir Roy, Menas Kafatos, Suman Dutta
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  ABSTRACT: The frequency shift of spectral lines is most often explained by the Doppler Effect in terms of relative motion, whereas the Doppler broadening of a particular line mainly depends on the absolute temperature. The Wolf effect on the other hand deals with the correlation induced spectral change and explains both the broadening and shift of the spectral lines. In this framework a relation between the width of the spectral line is related to the redshift z for the line and hence with the distance. For smaller values of z a relation similar to the Tully-Fisher relation can be obtained and for larger values of z a more general relation can be constructed. The derivation of this kind of relation based on dynamic multiple scattering theory may play a significant role in explaining the overall spectra of quasi stellar objects. We emphasize that this mechanism is not applicable for nearby galaxies, $z \leq 1$. Comment: 18 pages, 5 figures, revised Version has been submitted to Physical Review A. (2nd author's affiliation corrected)
  03/1999;
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  Available from: Sisir Roy

  Article: Quantum processes and functional geometry: new perspectives in brain dynamics

  Sisir Roy, Menas Kafatos
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  ABSTRACT: The recent controversy of applicability of quantum formalism to brain dynamics has been critically analyzed. PELLIONISZ and LLINÁS (1982) proposed a functional geometry to understand the internal representation of the events associated to the space-timing of moving objects in the external world. The joint representation of space and time associated to an event as understood by the brain is shown to be different from that understood in modern physics. This indicates that the four-dimensional geometry i.e. Minkowski geometry is not an appropriate description for the internal world. If it is to be the case, the applicability of any kind of quantum field theory in modeling brain function has to be analyzed with great care. Here, the issue of applicability of quantum mechanics to brain function has been discussed in general, from an anatomical perspective and then particular emphasis has been given to the applicability of quantum field theory.
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  Available from: Sisir Roy

  Article: Scaling in cosmology and the arrow of time

  Menas Kafatos, Sisir Roy, Richard Amoroso
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  ABSTRACT: A new type of scaling applicable to a variety of physical parameters in the universe is proposed here. This utilizes a relation linking the fundamental masses and fundamental constants in nature and an axiomatic approach is developed for the relations between microscopic and macroscopic found by Eddington and Dirac. In this approach, the fundamental constants are changing with time and the variation is related to the changing of the scale of the universe. The variation of the fundamental constants leads to an arrow of time in the present universe as well as scale-invariant relationships linking all scales. All lengths in the universe are proportional to the scale of the universe R, and similar relations exist for other physical parameters. Key words: arrow of time -fundamental constants -scale of the universe -big bang.
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  Article: Effective Theories And The Phenomenological Information

  Mihai Drăgănescu, Sisir Roy, Menas Kafatos
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  ABSTRACT: The concepts of effective theories in science and of primary theory are reconsidered in the light of the integrative (structural-phenomenological) model of reality. It is shown that the structural effective theories are vi-able for scales from the universe down to the Planck scale, but not for the deep domain of reality below Planck scale, neither for the domain of all the different universes of existence. For the domains where structural ef-fective theories are possible, these may be extended to a form of struc-tural-phenomenological effective theories.