Roger Penrose Twistor Theory and Quantum Mechanics Entanglement Quantum Nonlocality and Reality











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http://gabrielemartufi.altervista.org • © Roger Penrose / https://penroseinstitute.com / 2011 • Abstract: Space and time are two of the universe's most fundamental elements. Relativity combines these two into the unified notion of space-time, but twistor theory goes beyond this replacing both by something entirely different, where the basic elements are the paths taken by particles of light or other particles without mass. Twistor theory has already found powerful applications in the field of high-energy physics. The creation of twistor theory was motivated with the hope that it would shed light on the foundations of quantum physics, a theory that puzzled even Einstein, particularly through the weird effects of quantum non-locality, the phenomenon whereby the behaviour of quantum particles can seem to have instantaneous effects over large distances. In this lecture, Prof. Roger Penrose will describe a deep link between twistor theory and the simplest form of quantum non-locality and how the connection may be generalized in ways that provide a broader understanding of the phenomenon. Twistor theory, Complex numbers, Lorentz group, Wessel plane, Complex plane, Argand plane, Gauss plane, Quantum mechanics, Stereographic projections, Light cones, Special relativity, General relativity, The Celestial Sphere, Riemann sphere, Quantum system, Spin particles, Quantum non-locality, Quantum entanglement, EPR paradox, Bell inequalities, Bell's theorem, Quantum wave function, Minkowski space, Twistor space, Spinor calculus, Twistors, Twistor cohomology, Penrose triangle. • https://pirsa.org • In theoretical physics, twistor theory was proposed by Roger Penrose in 1967 as a possible path to quantum gravity and has evolved into a branch of theoretical and mathematical physics. Penrose proposed that twistor space should be the basic arena for physics from which space-time itself should emerge. It leads to a powerful set of mathematical tools that have applications to differential and integral geometry, nonlinear differential equations and representation theory and in physics to general relativity and quantum field theory, in particular to scattering amplitudes. • https://en.wikipedia.org/wiki/Twistor... • Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.  It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science. Classical physics, the collection of theories that existed before the advent of quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale, but is not sufficient for describing them at small (atomic and subatomic) scales. Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic) scale. Quantum mechanics differs from classical physics in that energy, momentum, angular momentum, and other quantities of a bound system are restricted to discrete values (quantization), objects have characteristics of both particles and waves (wave–particle duality), and there are limits to how accurately the value of a physical quantity can be predicted prior to its measurement, given a complete set of initial conditions (the uncertainty principle). Quantum mechanics arose gradually from theories to explain observations which could not be reconciled with classical physics, such as Max Planck's solution in 1900 to the black-body radiation problem, and the correspondence between energy and frequency in Albert Einstein's 1905 paper which explained the photoelectric effect. These early attempts to understand microscopic phenomena, now known as the old quantum theory , led to the full development of quantum mechanics in the mid-1920s by Niels Bohr, Erwin Schrödinger, Werner Heisenberg, Max Born, Paul Dirac and others. In theoretical physics, quantum nonlocality refers to the phenomenon by which the measurement statistics of a multipartite quantum system do not admit an interpretation in terms of a local realistic theory. • https://en.wikipedia.org/wiki/Quantum... • In mathematical physics, Minkowski space (or Minkowski spacetime) is a combination of three-dimensional Euclidean space and time into a four-dimensional manifold where the spacetime interval between any two events is independent of the inertial frame of reference in which they are recorded. Although initially developed by mathematician Hermann Minkowski for Maxwell's equations of electromagnetism, the mathematical structure of Minkowski spacetime was shown to be implied by the postulates of special relativity. Minkowski space is closely associated with Einstein's theories of special relativity and general relativity and is the most common mathematical structure on which special relativity is formulated. • https://en.wikipedia.org/wiki/Minkows...

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