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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 84 (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.
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 11 (11 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
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 11 (11 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.
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 11 (0 self)
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To be published in Behavioral and Brain Sciences (in press)
Four levels of complexity in mathematics and physics. Riga : Quantum Distinctions
, 2009
"... Four levels of complexity in mathematics and physics are considered, how they are interrelated, how this all has impact on other subjects of epistemology. ..."
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Cited by 6 (6 self)
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Four levels of complexity in mathematics and physics are considered, how they are interrelated, how this all has impact on other subjects of epistemology.
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.
2010) Our Ability to Research Comes Before Understanding of What We Research
 Journal of Consciousness Exploration & Research, Vol
"... ..."
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.
The trouble with physics. How physics missed main part of the observer and what comes next. Riga : s.n
, 2008
"... In his excellent book (Smolin, 2006) Lee Smolin speaks about crisis in physics, blaming mainly string theory. We argue that modern physics should change its attitude towards what is called observer, but should be called cognitive machine or rather two distinctively different, inner and outer, cognit ..."
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Cited by 3 (3 self)
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In his excellent book (Smolin, 2006) Lee Smolin speaks about crisis in physics, blaming mainly string theory. We argue that modern physics should change its attitude towards what is called observer, but should be called cognitive machine or rather two distinctively different, inner and outer, cognitive machines.