PPT
... The ultimate reality consists of tiny strings, so small that they almost don’t exist (10 to the minus 33rd power). They vibrate constantly and their differences in vibration, amplitude, wave length, etc. and interaction with each other, produce the world as we know it. ...
... The ultimate reality consists of tiny strings, so small that they almost don’t exist (10 to the minus 33rd power). They vibrate constantly and their differences in vibration, amplitude, wave length, etc. and interaction with each other, produce the world as we know it. ...
Program - LQG
... just the naïve expectation value of a ``metric operator'' on the quantum state of geometry. In fact, if the matter sector consists of as simple a species as a massive real scalar field, then the emergent classical metric appears differently to different modes of the field: specifically, the emergent ...
... just the naïve expectation value of a ``metric operator'' on the quantum state of geometry. In fact, if the matter sector consists of as simple a species as a massive real scalar field, then the emergent classical metric appears differently to different modes of the field: specifically, the emergent ...
A path towards quantum gravity
... Type-I gauge theories • These equations define type-I gauge theories (e.g. Maxwell, Yang—Mills, Einstein). • All these theories, being gauge theories, need supplementary conditions, since the second functional derivative of S is not an invertible operator. After imposing such conditions, the theori ...
... Type-I gauge theories • These equations define type-I gauge theories (e.g. Maxwell, Yang—Mills, Einstein). • All these theories, being gauge theories, need supplementary conditions, since the second functional derivative of S is not an invertible operator. After imposing such conditions, the theori ...
Geometry and tensor networks
... Geometry and tensor networks: Tensor networks (or more generally, diagrams in monoidal categories with various additional properties) arise constantly in applications, particularly those involving networks used to process information in some way. Aided by the easy interpretation of the graphical lan ...
... Geometry and tensor networks: Tensor networks (or more generally, diagrams in monoidal categories with various additional properties) arise constantly in applications, particularly those involving networks used to process information in some way. Aided by the easy interpretation of the graphical lan ...
Abstracts of the talks
... the same genus need not be equivalent, but one can show that there are only finitely many equivalence classes of quadratic forms within a genus. In fact, there is an explicit formula for the number of equivalence classes of quadratic forms in the genus of a fixed quadratic form q (counted with multi ...
... the same genus need not be equivalent, but one can show that there are only finitely many equivalence classes of quadratic forms within a genus. In fact, there is an explicit formula for the number of equivalence classes of quadratic forms in the genus of a fixed quadratic form q (counted with multi ...
Course Poster
... quantum field theories. Applications from: fluid mechanics, elasticity, electromagnetism, atomic and particle physics. ...
... quantum field theories. Applications from: fluid mechanics, elasticity, electromagnetism, atomic and particle physics. ...
Lecture
... neutrino background would require so much shielding that the detector collapses into a black hole! ...
... neutrino background would require so much shielding that the detector collapses into a black hole! ...
Niels Bohr, greatest physicist of the 20th century
... two theoretical systems essentially independent of each other: the theory of relativity and the quantum theory. The two systems do not directly contradict each other; but they seem little adapted to fusion into one unified theory. For the time being we have to admit that we do not possess any genera ...
... two theoretical systems essentially independent of each other: the theory of relativity and the quantum theory. The two systems do not directly contradict each other; but they seem little adapted to fusion into one unified theory. For the time being we have to admit that we do not possess any genera ...
What is Entanglement? Entangled Fields Looking at Entangled
... measuring the other. This phenomena occurs even if the particles are very far apart in space, so far that even light could not travel between them in the time it takes for the other particle to be affected. This is at the heart of what Einstein called the “spooky nonlocality” of quantum mechanics: ...
... measuring the other. This phenomena occurs even if the particles are very far apart in space, so far that even light could not travel between them in the time it takes for the other particle to be affected. This is at the heart of what Einstein called the “spooky nonlocality” of quantum mechanics: ...
My Century of Physics
... differential equation. In other contexts, particularly Yang Mills, these were later called solitons. Feynman’s comment to me at that time was, “I see how you got into this, but I don’t know how you will get out of it.” The same Lagrangian was proposed by Heisenberg and Pauli a little after us. I con ...
... differential equation. In other contexts, particularly Yang Mills, these were later called solitons. Feynman’s comment to me at that time was, “I see how you got into this, but I don’t know how you will get out of it.” The same Lagrangian was proposed by Heisenberg and Pauli a little after us. I con ...