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39
Noncommutative Renormalization
 SÉMINAIRE POINCARÉ X (2007) 1 – 81
, 2007
"... A new version of scale analysis and renormalization theory has been found on the noncommutative Moyal space. It could be useful for physics beyond the standard model or for standard physics in strong external field. The good news is that quantum field theory is better behaved on noncommutative tha ..."
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Cited by 82 (18 self)
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A new version of scale analysis and renormalization theory has been found on the noncommutative Moyal space. It could be useful for physics beyond the standard model or for standard physics in strong external field. The good news is that quantum field theory is better behaved on noncommutative than on ordinary space: indeed it has no Landau ghost. Noncommutativity might therefore be an alternative to supersymmetry. We review this rapidly growing subject.
Deformation quantization of nonholonomic almost K¨ahler models and Einstein gravity, Phys. Lett. A 372
, 2008
"... Nonholonomic distributions and adapted frame structures on (pseudo) Riemannian manifolds of even dimension are employed to build structures equivalent to almost Kähler geometry and which allows to perform a Fedosovlike quantization of gravity. The nonlinear connection formalism that was formally el ..."
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Cited by 19 (18 self)
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Nonholonomic distributions and adapted frame structures on (pseudo) Riemannian manifolds of even dimension are employed to build structures equivalent to almost Kähler geometry and which allows to perform a Fedosovlike quantization of gravity. The nonlinear connection formalism that was formally elaborated for Lagrange and Finsler geometry is implemented in classical and quantum Einstein gravity.
Bayesian Fundamentalism or Enlightenment? On the explanatory status and theoretical contributions of Bayesian models of cognition
 Behavioral and Brain Sciences
, 2011
"... To be published in Behavioral and Brain Sciences (in press) ..."
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Cited by 12 (0 self)
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To be published in Behavioral and Brain Sciences (in press)
On to what effect LHC experiments should arrive
, 2007
"... We consider idea of hierarchical multitime notion and of the cone of creation. Following this idea, the time used in traditional sense is only a single projection of time in the multitime. Multitime must have inner dimension upwards turning it into hierarchical structure which acts as what we call g ..."
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Cited by 10 (10 self)
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We consider idea of hierarchical multitime notion and of the cone of creation. Following this idea, the time used in traditional sense is only a single projection of time in the multitime. Multitime must have inner dimension upwards turning it into hierarchical structure which acts as what we call global cone of creation. On our time projection, evolution of species and BB, both global and local, in SM are examples of local cones of creation. Higgs field as symmetry breaking accounts for complementary worlds on other projections of time in multitime. We argue that time is form of referencing within matter and doesn’t have any sense without matter. These are the hypothetical assumptions which may be tested, when LHC experiment shall go on.Contents Abstract........................................................................................................................................................ 1 What is time?................................................................................................................................................ 3 What is the mass?......................................................................................................................................... 3 What is actually what we perceive as mass or massiveness?......................................................................... 4
Mathematics as Reference System of Life: preliminary observations
, 2009
"... We forward hypothesis that all what we refer to as mathematics are cognitive aspects of life, moreover, we have right to refer to mathematics as reference system of life. Mathematics and cognition are not distinguishable between themselves because what we call mathematics refer to the functionality ..."
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Cited by 5 (3 self)
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We forward hypothesis that all what we refer to as mathematics are cognitive aspects of life, moreover, we have right to refer to mathematics as reference system of life. Mathematics and cognition are not distinguishable between themselves because what we call mathematics refer to the functionality by means of what (or via what) we are created by nature, or by God, be it question of our religious persuasion. Thus, according to this hypothesis, mathematics turns out to be considrable more as primary in many points as before, when we attributed to mathematics role of sort of descriptor of nature. When we are going to say that mathematics is reference system of life, we mean that today's mathematics is only some starting state of what might be referred to as mathematics as subject / object of reality.
Quantum Distinction: Quantum Distinctiones! Leonardo
 Journal of Sciences : (LJS
"... How many distinctions, in Latin, quantum distinctions have? We suggest approach of anthropic principle based on anthropic reference system which should be applied equally both in theoretical physics and in mathematics. We come to principle that within reference system of life subject of mathematics ..."
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Cited by 5 (5 self)
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How many distinctions, in Latin, quantum distinctions have? We suggest approach of anthropic principle based on anthropic reference system which should be applied equally both in theoretical physics and in mathematics. We come to principle that within reference system of life subject of mathematics (that of thinking) should be equated with subject of physics (that of nature). For this reason we enter notions of series of distinctions, quantum distinction, and argue that quantum distinction may be considered as freedom of motion. Keywords anthropic principle; anthropic reference system, reference system of life, functionality of life; cognition; mathematics, theoretical physics; classical distinction, quantum distinction; quantum mechanics, interpretation of quantum mechanics; gauge freedom; religion, psychology.
Our Ability to Research Comes Before Understanding of What We Research
 JOURNAL OF CONSCIOUSNESS EXPLORATION & RESEARCH, VOL
, 2010
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On Reference System of Life
 Riga, Quantum Distinctions
"... We argue cognition may be considered in new outline, i.e., as functionality of life from within reference system of life. We conjecture that this give us way to consider mathematics as aspect of life from new approach. ..."
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Cited by 4 (2 self)
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We argue cognition may be considered in new outline, i.e., as functionality of life from within reference system of life. We conjecture that this give us way to consider mathematics as aspect of life from new approach.
Emergence as a ComputabilityTheoretic Phenomenon
, 2008
"... In dealing with emergent phenomena, a common task is to identify useful descriptions of them in terms of the underlying atomic processes, and to extract enough computational content from these descriptions to enable predictions to be made. Generally, the underlying atomic processes are quite well un ..."
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Cited by 3 (1 self)
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In dealing with emergent phenomena, a common task is to identify useful descriptions of them in terms of the underlying atomic processes, and to extract enough computational content from these descriptions to enable predictions to be made. Generally, the underlying atomic processes are quite well understood, and (with important exceptions) captured by mathematics from which it is relatively easy to extract algorithmic content. A widespread view is that the difficulty in describing transitions from algorithmic activity to the emergence associated with chaotic situations is a simple case of complexity outstripping computational resources and human ingenuity. Or, on the other hand, that phenomena transcending the standard Turing model of computation, if they exist, must necessarily lie outside the domain of classical computability theory. In this talk we suggest that much of the current confusion arises from conceptual gaps and the lack of a suitably fundamental model within which to situate emergence. We examine the potential for placing emergent relations in a familiar context based on Turing’s 1939 model for interactive computation over structures described in terms of reals. The explanatory power of this model is explored, formalising informal descriptions in terms of mathematical definability and invariance, and relating a range of basic scientific puzzles to results and intractable problems in computability theory. In this talk
Representing Scientific Representation
, 2003
"... Scientific discourse is rife with passages that appear to be ordinary descriptions of systems of interest in a particular discipline. Equally, the pages of textbooks and journals are filled with discussions of the properties and the behavior of those systems. Students of mechanics investigate at len ..."
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Cited by 3 (2 self)
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Scientific discourse is rife with passages that appear to be ordinary descriptions of systems of interest in a particular discipline. Equally, the pages of textbooks and journals are filled with discussions of the properties and the behavior of those systems. Students of mechanics investigate at length the dynamical properties of a