MS-Word version
... to explore further the additive theory of infinite sets of prime numbers, both with absolute results and its links with number theory via the Schinzel's hypothesis ; to code natural numbers, complex numbers, and quadratic integers by automata accepting numbers (written in non-classical systems) ; to ...
... to explore further the additive theory of infinite sets of prime numbers, both with absolute results and its links with number theory via the Schinzel's hypothesis ; to code natural numbers, complex numbers, and quadratic integers by automata accepting numbers (written in non-classical systems) ; to ...
arXiv:hep-th/0006105v1 15 Jun 2000 Quotient Construction of `t
... atomic scale if , after some finite time interval, they evolve into the same state. This leads to a natural definition of equivalence classes: two states are in the same equivalence class if and only if they evolve into the same state after some finite time interval. Quantum states are identified wi ...
... atomic scale if , after some finite time interval, they evolve into the same state. This leads to a natural definition of equivalence classes: two states are in the same equivalence class if and only if they evolve into the same state after some finite time interval. Quantum states are identified wi ...
QUANTUM FIELD THEORY ON CURVED
... where F and hµν are only functions of x1 , . . . , xd−1 . It is clear from (1.4) that the natural time-translation and time-reflection maps are isometries for all points in the neighborhood where these coordinates are defined. 1.2. Analytic continuation. The Euclidean approach to quantum field theor ...
... where F and hµν are only functions of x1 , . . . , xd−1 . It is clear from (1.4) that the natural time-translation and time-reflection maps are isometries for all points in the neighborhood where these coordinates are defined. 1.2. Analytic continuation. The Euclidean approach to quantum field theor ...
An Introduction To Resource Theories (Example: Nonuniformity
... are not free? This last question is the reason why these theories are called resource theories. ...
... are not free? This last question is the reason why these theories are called resource theories. ...
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... Due to the spare and wispy nature of fractals, even subtle changes in the hypothetical universes could cause them to fall outside the invariant set. In this way, Spekkens says that Palmer's hypothesis may help to make some sense of quantum contextuality. "I think his approach is really interesting ...
... Due to the spare and wispy nature of fractals, even subtle changes in the hypothetical universes could cause them to fall outside the invariant set. In this way, Spekkens says that Palmer's hypothesis may help to make some sense of quantum contextuality. "I think his approach is really interesting ...
Can Bohmian mechanics be made relativistic?
... Here Ψt , the universal wave function, is a complex-valued function on the 3N-dimensional configuration space of the N particles. (For particles with spin, one need only consider Ψt as instead being the appropriate N-particle spinor, obeying instead of equation (1.1) the appropriate wave equation, a ...
... Here Ψt , the universal wave function, is a complex-valued function on the 3N-dimensional configuration space of the N particles. (For particles with spin, one need only consider Ψt as instead being the appropriate N-particle spinor, obeying instead of equation (1.1) the appropriate wave equation, a ...
QCD and Nuclei
... • Recover and sharpen the standard nuclear physics approach, put it in the framework of the Standard Model. • Make precise predictions that play a key ingredient in other areas of science, e.g., solar evolution and neutrino mass. • Quest for new states of matter created ...
... • Recover and sharpen the standard nuclear physics approach, put it in the framework of the Standard Model. • Make precise predictions that play a key ingredient in other areas of science, e.g., solar evolution and neutrino mass. • Quest for new states of matter created ...
Why there is Something rather than Nothing (from
... If future LHC experiments on SM could raise the Higgs mass up to 216 GeV then the SM Higgs boson could serve as the inflaton for a scenario with ns» 0.93 and T/S» 0.0004 The mechanism is very different from F.Bezrukov and M.Shaposhnikov, Phys.Lett. 659B (2008) 703 because it is dominated by the quan ...
... If future LHC experiments on SM could raise the Higgs mass up to 216 GeV then the SM Higgs boson could serve as the inflaton for a scenario with ns» 0.93 and T/S» 0.0004 The mechanism is very different from F.Bezrukov and M.Shaposhnikov, Phys.Lett. 659B (2008) 703 because it is dominated by the quan ...
Schrodinger`s Uncertainty Principle?
... is of course Heisenberg'S uncertainty principle l ! But SchrOdinger's subsequent refinement, described in this article, deserves to be better known in the classroom. Let us recall the basic algebraic steps in the text book proof. We consider the wave function (which has a free real parameter a) (x + ...
... is of course Heisenberg'S uncertainty principle l ! But SchrOdinger's subsequent refinement, described in this article, deserves to be better known in the classroom. Let us recall the basic algebraic steps in the text book proof. We consider the wave function (which has a free real parameter a) (x + ...
The Theory Formerly Known as Strings
... evidence in favor of this theory is appearing daily, representing the most exciting development since strings first swept onto the scene. M-theory, like string theory, relies crucially on the idea of supersymmetry. Physicists divide particles into two classes, according to their inherent angular ...
... evidence in favor of this theory is appearing daily, representing the most exciting development since strings first swept onto the scene. M-theory, like string theory, relies crucially on the idea of supersymmetry. Physicists divide particles into two classes, according to their inherent angular ...
Recent progress in the theory of Anderson localization
... Successful example: Fokker-Planck eq. for Lyapunov exponents for 1D wires cf: elastic manifolds in random potential ...
... Successful example: Fokker-Planck eq. for Lyapunov exponents for 1D wires cf: elastic manifolds in random potential ...
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... exotic), stir well, let settle … and you have created quantum spacetime. The process is straightforward enough to simulate on a laptop. To put it differently, if we think of empty spacetime as some immaterial substance consisting of a very large number of minute, structure-less pieces -- and if we t ...
... exotic), stir well, let settle … and you have created quantum spacetime. The process is straightforward enough to simulate on a laptop. To put it differently, if we think of empty spacetime as some immaterial substance consisting of a very large number of minute, structure-less pieces -- and if we t ...
Was Einstein Right?
... causes it to “collapse” from a range of possibilities into a single actuality. Fuchs argues that it is just our uncertainty about the system that collapses. The trick is to strip away the subjective aspects of the theory to expose the objective reality. Uncertainty about a quantum system is very dif ...
... causes it to “collapse” from a range of possibilities into a single actuality. Fuchs argues that it is just our uncertainty about the system that collapses. The trick is to strip away the subjective aspects of the theory to expose the objective reality. Uncertainty about a quantum system is very dif ...
classical / quantum theory of 2-dimensional hydrogen
... We come thus to the crooked conclusion that the Hamiltonian (1) • refers classically to some real physics, but • is quantum mechanically artificial. The 3rd dimension is a classical spectator, but is quantum mechanically an active participant. We can understand this odd development on grounds that qu ...
... We come thus to the crooked conclusion that the Hamiltonian (1) • refers classically to some real physics, but • is quantum mechanically artificial. The 3rd dimension is a classical spectator, but is quantum mechanically an active participant. We can understand this odd development on grounds that qu ...
The Quantum Theory of the Electron
... which is the same as one would get if one put - e for e. The wave equation (1) thus refers equally well to an electron with charge e as to one with charge - e. If one considersfor definitenessthe limiting case of large quantum numbers one would find that some of the solutions of the wave equation ar ...
... which is the same as one would get if one put - e for e. The wave equation (1) thus refers equally well to an electron with charge e as to one with charge - e. If one considersfor definitenessthe limiting case of large quantum numbers one would find that some of the solutions of the wave equation ar ...
What is Renormalization? G.Peter Lepage
... theory of strong interactions. In this lecture I argue that renormalizability is not an essential characteristic of useful field theories. Indeed it is possible, some would say likely, that none of known interactions is described completely by a renormalizable field theory. Modern developments in re ...
... theory of strong interactions. In this lecture I argue that renormalizability is not an essential characteristic of useful field theories. Indeed it is possible, some would say likely, that none of known interactions is described completely by a renormalizable field theory. Modern developments in re ...
1 Axial Vector Current Anomaly in Electrodynamics By regularizing
... The types of classical fields that are useful in physics are generally smoothly varying continuous functions. If a classical function develops a singularity, it is usually isolated and physical quantities are not singular. Quantum fields can be much more singular than classical fields because the Un ...
... The types of classical fields that are useful in physics are generally smoothly varying continuous functions. If a classical function develops a singularity, it is usually isolated and physical quantities are not singular. Quantum fields can be much more singular than classical fields because the Un ...
Exceptional Lie Groups, E-infinity Theory and
... dimension associated with 4+φ3 is exactly 4 and that although the formal dimension is infinity nf = ∞ [9]. Thus E-infinity space-time is defined not only by one but also by three dimensions. In the following, we will show that E-infinity theory in conjunction with holographic principle and ...
... dimension associated with 4+φ3 is exactly 4 and that although the formal dimension is infinity nf = ∞ [9]. Thus E-infinity space-time is defined not only by one but also by three dimensions. In the following, we will show that E-infinity theory in conjunction with holographic principle and ...
