- Видео 8
- Просмотров 2 780
Antoine Tilloy
Добавлен 22 дек 2010
A biased introduction to the foundations of quantum mechanics 4/4
In this last lecture, I present de Broglie - Bohm theory (aka Bohmian mechanics) and explain how it can solve the measurement problem while allowing to recover Copenhagen quantum mechanics.
Просмотров: 336
Видео
A biased introduction to the foundations of quantum mechanics 3/4
Просмотров 409Месяц назад
In this video, I present collapse models, which are one example of a modification of stnadard quantum mechanics aimed at solving the measurement problem.
A biased introduction to the foundations of quantum mechanics 2/4
Просмотров 308Месяц назад
In this lecture, I present Bell's theorem in an operational way and explain what it tells us about the world.
A biased introduction to the foundations of quantum mechanics 1/4
Просмотров 599Месяц назад
In this first lecture, I explain the formalism of quantum mechanics and how it is instantiated in models. I then try to explain why we feel so uneasy about the postulates, and in particular why there is a "measurement problem" that decoherence tames but does not solve fully.
An introduction to tensor network states | 4/4
Просмотров 166Год назад
This is the fourth (and last) part of an introductory mini course on tensor network states.
An introduction to tensor network states | 3/4
Просмотров 124Год назад
This is the third part of an introductory mini course on tensor network states.
An introduction to tensor network states | 2/4
Просмотров 225Год назад
This is the second part of an introductory mini course on tensor network states.
An introduction to tensor network states | 1/4
Просмотров 617Год назад
This is the first part of an introductory mini course on tensor network states.
Dr. Roger Penrose has suggested instead of trying to create a particle called the "graviton" to explain gravity, why not try to describe subatomic particles in terms of spatial curvature, as in the twist in a piece of real thread. What if we add one extra spatial dimension to the "Twistor Theory" of Dr. Roger Penrose? It can be "chiral" by having either Right-hand or Left-hand twist. It can be "Quantized", based on the number of twist cycles. If Physicists describe electrons as point particles with no volume, where is the mass of the particle? Can one extra spatial dimension produce a geometric explanation of the 1/2 spin of electrons? The following is an extension of the old Kaluza-Klein theory. Can a twisted 3D <---> 4D soliton containing one extra spatial dimension help solve some of the current problems in Particle Physics? What do the Twistors of Roger Penrose and the Geometric Unity of Eric Weinstein and the exploration of one extra spatial dimension by Lisa Randall and the "Belt Trick" of Paul Dirac have in common? Is the following idea a “Quantized” model related to the “Vortex Theory” proposed by Maxwell and others during the 19th century? Is the best explanation of the current data a form of “Twistor Theory” first proposed by Dr. Roger Penrose during 1967? During recent years Dr. Peter Woit has explored Twistor Theory as a possible solution to help explain the current Standard Model. Has the concept of the “Aether” been resurrected from the dead and relabeled as the “Higgs Field”? In Spinors it takes two complete turns to get down the "rabbit hole" (Alpha Funnel 3D--->4D) to produce one twist cycle (1 Quantum unit). Can both Matter and Energy be described as "Quanta" of Spatial Curvature? (A string is revealed to be a twisted cord when viewed up close.) Mass= 1/Length, with each twist cycle of the 4D Hypertube proportional to Planck’s Constant. In this model Alpha equals the compactification ratio within the twistor cone, which is approximately 1/137. 1= Hypertubule diameter at 4D interface 137= Cone’s larger end diameter at 3D interface where the photons are absorbed or emitted. The 4D twisted Hypertubule gets longer or shorter as twisting or untwisting occurs. (720 degrees per twist cycle.) If quarks have not been isolated and gluons have not been isolated, how do we know they are not parts of the same thing? The tentacles of an octopus and the body of an octopus are parts of the same creature. Is there an alternative interpretation of "Asymptotic Freedom"? What if Quarks are actually made up of twisted tubes which become physically entangled with two other twisted tubes to produce a proton? Instead of the Strong Force being mediated by the constant exchange of gluons, it would be mediated by the physical entanglement of these twisted tubes. Are these the “Flux Tubes” being described by many Physicists today? When only two twisted tubules are entangled, a meson is produced which is unstable and rapidly unwinds (decays) into something else. A proton would be analogous to three twisted rubber bands becoming entangled and the "Quarks" would be the places where the tubes are tangled together. The behavior would be the same as rubber balls (representing the Quarks) connected with twisted rubber bands being separated from each other or placed closer together producing the exact same phenomenon as "Asymptotic Freedom" in protons and neutrons. The force would become greater as the balls are separated, but the force would become less if the balls were placed closer together. Therefore, the gluon is a synthetic particle (zero mass, zero charge) invented to explain the Strong Force. The "Color Force" is a consequence of the XYZ orientation entanglement of the twisted tubules. The two twisted tubule entanglement of Mesons is not stable and unwinds. It takes the entanglement of three twisted tubules to produce the stable proton. The term “entanglement” in this case is analogous to three twisted ropes being wrapped around each other in a way which causes all of the ropes to move if someone pulls one of the ropes. Does the phenomenon of “Asymptotic Freedom” provide evidence that this concept is the correct interpretation of the experimental data now available? Can the phenomenon of "Supercoiling" help explain the "Multiple Generations" of particles in the Standard Model? The conversion of twist to writhe cycles is well understood in the structure of DNA molecules. Can the conversion of twist to writhe cycles and vice-versa help explain "neutrino oscillations"? Within this model neutrinos are a small, twisted torus produced when a tube becomes overtwisted and breaks producing the small, closed loop of twisted tube (neutrino), and a twisted tube open on each end, which is shorter than the original. (Beta Decay) Within this subatomic model gravity is produced by a very small higher dimensional curvature imbalance within atoms, which causes all atoms to be attracted to all other atoms. This extremely weak attraction reveals the very small scale of the curvature imbalance. This produces the curvature of spacetime on a larger scale like the solar system which is required to counterbalance this small imbalance in the individual atoms.
Very interesting lecture. The YT algorithm suggested and I'm enjoying it. I'm a phd candidate in Brasil.
My RUclips algorithm is definitely smoking crack.
What can happen if we add one spatial dimension to the "Twistor Theory" of Sir Roger Penrose? If Physicists describe electrons as point particles with no volume, where is the mass of the particle? Can one extra spatial dimension produce a geometric explanation of the 1/2 spin of electrons? The following is an extension of the old Kaluza-Klein theory. Can a twisted 3D <---> 4D soliton containing one extra spatial dimension help solve some of the current problems in Particle Physics? What do the Twistors of Roger Penrose and the Geometric Unity of Eric Weinstein and the exploration of one extra spatial dimension by Lisa Randall and the "Belt Trick" of Paul Dirac have in common? Is the following idea a “Quantized” model related to the “Vortex Theory” proposed by Maxwell and others during the 19th century? Is the best explanation of the current data a form of “Twistor Theory” first proposed by Sir Roger Penrose during 1967? During recent years Dr. Peter Woit has explored Twistor Theory as a possible solution to help explain the current Standard Model. Has the concept of the “Aether” been resurrected from the dead and relabeled as the “Higgs Field”? In Spinors it takes two complete turns to get down the "rabbit hole" (Alpha Funnel 3D--->4D) to produce one twist cycle (1 Quantum unit). Can both Matter and Energy be described as "Quanta" of Spatial Curvature? (A string is revealed to be a twisted cord when viewed up close.) Mass= 1/Length, with each twist cycle of the 4D Hypertube proportional to Planck’s Constant. In this model Alpha equals the compactification ratio within the twistor cone, which is approximately 1/137. 1= Hypertubule diameter at 4D interface 137= Cone’s larger end diameter at 3D interface where the photons are absorbed or emitted. The 4D twisted Hypertubule gets longer or shorter as twisting or untwisting occurs. (720 degrees per twist cycle.) If quarks have not been isolated and gluons have not been isolated, how do we know they are not parts of the same thing? The tentacles of an octopus and the body of an octopus are parts of the same creature. Is there an alternative interpretation of "Asymptotic Freedom"? What if Quarks are actually made up of twisted tubes which become physically entangled with two other twisted tubes to produce a proton? Instead of the Strong Force being mediated by the constant exchange of gluons, it would be mediated by the physical entanglement of these twisted tubes. Are these the “Flux Tubes” being described by many Physicists today? When only two twisted tubules are entangled, a meson is produced which is unstable and rapidly unwinds (decays) into something else. A proton would be analogous to three twisted rubber bands becoming entangled and the "Quarks" would be the places where the tubes are tangled together. The behavior would be the same as rubber balls (representing the Quarks) connected with twisted rubber bands being separated from each other or placed closer together producing the exact same phenomenon as "Asymptotic Freedom" in protons and neutrons. The force would become greater as the balls are separated, but the force would become less if the balls were placed closer together. Therefore, the gluon is a synthetic particle (zero mass, zero charge) invented to explain the Strong Force. The "Color Force" is a consequence of the XYZ orientation entanglement of the twisted tubules. The two twisted tubule entanglement of Mesons is not stable and unwinds. It takes the entanglement of three twisted tubules to produce the stable proton. The term “entanglement” in this case is analogous to three twisted ropes being wrapped around each other in a way which causes all of the ropes to move if someone pulls one of the ropes. Does the phenomenon of “Asymptotic Freedom” provide evidence that this concept is the correct interpretation of the experimental data now available? Can the phenomenon of "Supercoiling" help explain the "Multiple Generations" of particles in the Standard Model? The conversion of twist to writhe cycles is well understood in the structure of DNA molecules. Within this model neutrinos are a small, twisted torus produced when a tube becomes overtwisted and breaks producing the small, closed loop of tube and a tube open on each end, which is shorter than the original. (Beta Decay)
Can you explain or maybe give a reference as to why the low energy eigen states verrify the area law ? (10:30)
It is not an obvious result. Technically, the claim is that the ground state and first few excited states of a local gapped Hamiltonian verify the area law. It is proved in some special cases, and is now well understood in 1 space dimension thanks to a proof by Matt Hastings "An area law for one-dimensional quantum systems" iopscience.iop.org/article/10.1088/1742-5468/2007/08/P08024/meta Intuively the proof goes something like: with a gapped Hamiltonian, correlations decay exponentially in time. If the theory were relativistic, this would be equivalent to exponential decay in space. For non-relativistic models on the lattice, locality of interactions gives weaker than the strict light cone of relativistic theories, but still allowing to prove decay of correlations in space. If correlation functions in space decay fast, it means there isn't much entanglement. Of course one needs to make it quantitative which Hastings does. For more general discussion about the area law, there is a big review by Eisert, Cramer and Plenio in Rev Mod Phys : journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.277 . Although it is from 2008, so not super recent anymore, I don't think there has been huge results on area law since.
Looks like third semester physics bachelor