recent advances in theoretical physics
Posted: Tue Oct 29, 2013 3:07 am
Master Amplituhedron
Scientists were traditionally forced to calculate scattering probabilities by integrating over all the possible splitting and combining of particles in a spacetime diagram. Two physicists from IAS at Princeton have found out to re-write the problem in terms of a solid bound by flat sides in a higher dimensional space. This groundbreaking method allows a person to calculate scattering amplitudes with pencil and paper. Previously this calculation was intractable to compute even on supercomputers. The scattering amplitude is equal to the volume of this solid space.
They have also found a “master amplituhedron” with an infinite number of facets, analogous to a circle in 2-D, which has an infinite number of sides. Its volume represents, in theory, the total amplitude of all physical processes. Lower-dimensional amplituhedra, which correspond to interactions between finite numbers of particles, live on the faces of this master structure.
https://www.simonsfoundation.org/quanta ... m-physics/
Time and entanglement
Entanglement is a deep and powerful link and Page and Wootters showed how it can be used to measure time. Their idea was that the way a pair of entangled particles evolve is a kind of clock that can be used to measure change.
https://medium.com/the-physics-arxiv-blog/d5d3dc850933
Scientists were traditionally forced to calculate scattering probabilities by integrating over all the possible splitting and combining of particles in a spacetime diagram. Two physicists from IAS at Princeton have found out to re-write the problem in terms of a solid bound by flat sides in a higher dimensional space. This groundbreaking method allows a person to calculate scattering amplitudes with pencil and paper. Previously this calculation was intractable to compute even on supercomputers. The scattering amplitude is equal to the volume of this solid space.
They have also found a “master amplituhedron” with an infinite number of facets, analogous to a circle in 2-D, which has an infinite number of sides. Its volume represents, in theory, the total amplitude of all physical processes. Lower-dimensional amplituhedra, which correspond to interactions between finite numbers of particles, live on the faces of this master structure.
https://www.simonsfoundation.org/quanta ... m-physics/
Time and entanglement
Entanglement is a deep and powerful link and Page and Wootters showed how it can be used to measure time. Their idea was that the way a pair of entangled particles evolve is a kind of clock that can be used to measure change.
https://medium.com/the-physics-arxiv-blog/d5d3dc850933