Possible Topics for the Final Project Taken with slight modification
... 19. The Lamb shift in hydrogen — evidence that relativistic quantum mechanics must be replaced by quantum field theory. 20. The non-relativistic quark model of the proton, neutron and related particles. 21. Isospin — a quantum symmetry of elementary particles. 22. The 21 cm line of hydrogen and its ...
... 19. The Lamb shift in hydrogen — evidence that relativistic quantum mechanics must be replaced by quantum field theory. 20. The non-relativistic quark model of the proton, neutron and related particles. 21. Isospin — a quantum symmetry of elementary particles. 22. The 21 cm line of hydrogen and its ...
URL - StealthSkater
... What goes wrong with string theories? (06/14/2008) Could a symplectic analog of conformal field theory be relevant for Quantum-TGD? (03/16/2008) Infinite primes and algebraic Brahman=Atman identity (07/05/2008) Configuration space gamma matrices as hyper-octonion valued conformal fields having value ...
... What goes wrong with string theories? (06/14/2008) Could a symplectic analog of conformal field theory be relevant for Quantum-TGD? (03/16/2008) Infinite primes and algebraic Brahman=Atman identity (07/05/2008) Configuration space gamma matrices as hyper-octonion valued conformal fields having value ...
An Upper Bound on the nth Prime - Mathematical Association of
... In 1845, J. Bertrand conjectured that for any integer n > 3, there exists at least one prime p between n and 2n − 2 [1]. In 1852, P. Tchebychev offered the first demonstration of this now-famous theorem. Today, Bertrand’s Postulate is often stated as, “for any positive integer n ≥ 1, there exists a ...
... In 1845, J. Bertrand conjectured that for any integer n > 3, there exists at least one prime p between n and 2n − 2 [1]. In 1852, P. Tchebychev offered the first demonstration of this now-famous theorem. Today, Bertrand’s Postulate is often stated as, “for any positive integer n ≥ 1, there exists a ...
From Wormholes to the Warp Drive: Using theoretical physics to
... and behavior of a particular theory by “pushing” the theory to its limiting cases. For example, we understand general relativity much better by studying the properties of black hole solutions to the Einstein equations than we would if we restricted attention to the tiny differences between the pred ...
... and behavior of a particular theory by “pushing” the theory to its limiting cases. For example, we understand general relativity much better by studying the properties of black hole solutions to the Einstein equations than we would if we restricted attention to the tiny differences between the pred ...
A Chapter in Physical Mathematics: Theory of Knots in the Sciences
... direct input from theoretical physics, for example from classical and quantum eld theories, statistical mechanics and string theory. In particular, in the geometry and topology of low dimensional manifolds (i.e. manifolds of dimensions 2, 3 and 4) we have seen new results, some of them quite surpri ...
... direct input from theoretical physics, for example from classical and quantum eld theories, statistical mechanics and string theory. In particular, in the geometry and topology of low dimensional manifolds (i.e. manifolds of dimensions 2, 3 and 4) we have seen new results, some of them quite surpri ...
Topologically Ordered States and their Hamiltonians
... braiding phenomena lead to fractional statistics of excitations and to the corresponding form of the topological order. Strongly correlated states form a certain part of the low-energy Hilbert space. When the considered excitations are spatially separated, a low-energy space turns to be degenerated, ...
... braiding phenomena lead to fractional statistics of excitations and to the corresponding form of the topological order. Strongly correlated states form a certain part of the low-energy Hilbert space. When the considered excitations are spatially separated, a low-energy space turns to be degenerated, ...
Introduction to the general boundary formulation of quantum theory
... At the basis of the general boundary formulation lies an assignment of algebraic structures to geometric ones. Basic geometric structures (representing pieces of spacetime): hypersurfaces: oriented manifolds of dimension d − 1 regions: oriented manifolds of dimension d with boundary ...
... At the basis of the general boundary formulation lies an assignment of algebraic structures to geometric ones. Basic geometric structures (representing pieces of spacetime): hypersurfaces: oriented manifolds of dimension d − 1 regions: oriented manifolds of dimension d with boundary ...
Quantum Spin Hall Effect and their Topological Design of Devices
... stability studies of the edge liquid (see the figure 4) through which conduction takes place in the quantum spin Hall state proved, both analytically and numerically that the non-trivial state is robust to both interactions and extra spin-orbit coupling terms that mix spin-up and spin-down electrons ...
... stability studies of the edge liquid (see the figure 4) through which conduction takes place in the quantum spin Hall state proved, both analytically and numerically that the non-trivial state is robust to both interactions and extra spin-orbit coupling terms that mix spin-up and spin-down electrons ...
String Theory - Indico
... would allow a deep understanding on the nonperturbative nature of Yang-Mills theory. • Fame awaits.. ...
... would allow a deep understanding on the nonperturbative nature of Yang-Mills theory. • Fame awaits.. ...
Org: Louigi Addario
... Joint work with Remco van der Hofstad. JEREMY QUASTEL, University of Toronto Regularity and variational problems for Airy processes The Airy processes are stochastic processes that have come out of both random growth models and random matrix theory. They are defined in terms of their finite dimensio ...
... Joint work with Remco van der Hofstad. JEREMY QUASTEL, University of Toronto Regularity and variational problems for Airy processes The Airy processes are stochastic processes that have come out of both random growth models and random matrix theory. They are defined in terms of their finite dimensio ...
Beyond Einstein: SuSy, String Theory, Cosmology
... new symmetry of physics, closely tied to the very nature of space and time. Dramatic experimental signatures. A whole new phenomenology, new questions. But neither the limited evidence nor these sorts of arguments make it true; there is good experimental as well as theoretical reason for skepticism. ...
... new symmetry of physics, closely tied to the very nature of space and time. Dramatic experimental signatures. A whole new phenomenology, new questions. But neither the limited evidence nor these sorts of arguments make it true; there is good experimental as well as theoretical reason for skepticism. ...
A unique theory of all forces 1 The Standard Model and Unification
... From what we have seen up to now one may suspect that the equivalence between totally different theories may only be a two-dimensional phenomenon. This is actually not true because there is by now a overwhelming evidence [6] that this also happens in the case of the four-dimensional supersymmetric Y ...
... From what we have seen up to now one may suspect that the equivalence between totally different theories may only be a two-dimensional phenomenon. This is actually not true because there is by now a overwhelming evidence [6] that this also happens in the case of the four-dimensional supersymmetric Y ...
slides - p-ADICS.2015
... At this stage, the Universe was in a quantum state, which should be described by a wave function (complex valued and depends on some real parameters). But, QC is related to Planck scale phenomena - it is natural to reconsider its foundations. We maintain here the standard point of view that the wave ...
... At this stage, the Universe was in a quantum state, which should be described by a wave function (complex valued and depends on some real parameters). But, QC is related to Planck scale phenomena - it is natural to reconsider its foundations. We maintain here the standard point of view that the wave ...
Quantum field theory and gravitation
... The standard formalism of QFT, however, relies heavily on Poincaré symmetry: Particles are defined as irreducible representations of the (covering of the) Poincaré group. There is a distinguished state, the vacuum, understood as the state with all particles absent. The main physical observable is ...
... The standard formalism of QFT, however, relies heavily on Poincaré symmetry: Particles are defined as irreducible representations of the (covering of the) Poincaré group. There is a distinguished state, the vacuum, understood as the state with all particles absent. The main physical observable is ...
Buzek_Teheran_tutorials_abstract
... Quantum observations (Tutorial lectures) Vladimír Bužek Research Center for Quantum Information, Slovak Academy of Sciences, Bratislava In my tutorial lectures I will briefly outline some epistemological as well as operational problems associated with the quantum theory of measurement. I will addres ...
... Quantum observations (Tutorial lectures) Vladimír Bužek Research Center for Quantum Information, Slovak Academy of Sciences, Bratislava In my tutorial lectures I will briefly outline some epistemological as well as operational problems associated with the quantum theory of measurement. I will addres ...
UNVEILING THE ULTIMATE LAWS OF NATURE: DARK MATTER
... ! All we see in the universe is made of just three fundamental particles (electrons, up quarks, down quarks), interacting via a few forces ! quarks combine via the strong force to make protons and neutrons, ! they combine via the residual strong force to make nuclei ! nuclei and electrons combine v ...
... ! All we see in the universe is made of just three fundamental particles (electrons, up quarks, down quarks), interacting via a few forces ! quarks combine via the strong force to make protons and neutrons, ! they combine via the residual strong force to make nuclei ! nuclei and electrons combine v ...