background preloader

Copenhagen interpretation

Copenhagen interpretation
The Copenhagen interpretation is one of the earliest and most commonly taught interpretations of quantum mechanics.[1] It holds that quantum mechanics does not yield a description of an objective reality but deals only with probabilities of observing, or measuring, various aspects of energy quanta, entities that fit neither the classical idea of particles nor the classical idea of waves. The act of measurement causes the set of probabilities to immediately and randomly assume only one of the possible values. This feature of mathematics is known as wavefunction collapse. According to John Cramer, "Despite an extensive literature which refers to, discusses, and criticizes the Copenhagen interpretation of quantum mechanics, nowhere does there seem to be any concise statement which defines the full Copenhagen interpretation Background[edit] The Copenhagen interpretation is an attempt to explain the mathematical formulations of quantum mechanics and the corresponding experimental results. 1.

Ensemble interpretation The ensemble interpretation, or statistical interpretation of quantum mechanics, is an interpretation that can be viewed as a minimalist interpretation; it is a quantum mechanical interpretation that claims to make the fewest assumptions associated with the standard mathematical formalization. At its heart, it takes to the fullest extent the statistical interpretation of Max Born for which he won the Nobel Prize in Physics.[1] The interpretation states that the wave function does not apply to an individual system – or for example, a single particle – but is an abstract mathematical, statistical quantity that only applies to an ensemble of similarly prepared systems or particles. Probably the most notable supporter of such an interpretation was Albert Einstein: To date, probably the most prominent advocate of the ensemble interpretation is Leslie E. Ballentine, Professor at Simon Fraser University, and writer of the graduate-level textbook "Quantum Mechanics, A Modern Development".[3]

Many-worlds interpretation The quantum-mechanical "Schrödinger's cat" paradox according to the many-worlds interpretation. In this interpretation, every event is a branch point; the cat is both alive and dead, even before the box is opened, but the "alive" and "dead" cats are in different branches of the universe, both of which are equally real, but which do not interact with each other.[1] The many-worlds interpretation is an interpretation of quantum mechanics that asserts the objective reality of the universal wavefunction and denies the actuality of wavefunction collapse. The original relative state formulation is due to Hugh Everett in 1957.[3][4] Later, this formulation was popularized and renamed many-worlds by Bryce Seligman DeWitt in the 1960s and 1970s.[1][5][6][7] The decoherence approaches to interpreting quantum theory have been further explored and developed,[8][9][10] becoming quite popular. Before many-worlds, reality had always been viewed as a single unfolding history. Outline[edit] Wojciech H.

Delayed Choice Quantum Eraser Comment: The idler photon first encounters the prism PS, where it's path is bent to ensure it heads off where it is supposed to – one path for photons from region A, a different path for photons from region B. The idler photon next encounters a 50-50 beamsplitter BSA or BSB. The beamsplitter will either reflect the idler photon off course and into the detector D3 or D4; or it will allow the photon to pass through and continue (toward the reflecting mirror MA or MB). QM dictates that it will go one way or the other a random 50% of the time, i.e., a 50-50 chance either way. If the idler photon is reflected at BSA or BSB into the detector D3 or D4, it will be detected with which-path information intact. As stated earlier in the paper, "The registration of D3 or D4 provides which-path information (path A or path B) of [idler] photon 2 and in turn provides which-path information of [signal] photon 1 because of the entanglement nature of the two-photon state . . .."

Consistent histories In quantum mechanics, the consistent histories approach is intended to give a modern interpretation of quantum mechanics, generalising the conventional Copenhagen interpretation and providing a natural interpretation of quantum cosmology.[1] This interpretation of quantum mechanics is based on a consistency criterion that then allows probabilities to be assigned to various alternative histories of a system such that the probabilities for each history obey the rules of classical probability while being consistent with the Schrödinger equation. In contrast to some interpretations of quantum mechanics, particularly the Copenhagen interpretation, the framework does not include "wavefunction collapse" as a relevant description of any physical process, and emphasizes that measurement theory is not a fundamental ingredient of quantum mechanics. Histories[edit] A homogeneous history (here labels different histories) is a sequence of Propositions specified at different moments of time is true at time

70 Reminders to Help You Break Any Barrier I am pleased to introduce this guest article by a new friend John, the creator of HiLife2B, where he hopes to inspire people and to help them achieve their dreams. Follow him on Twitter: @janyasor 1. Believe that even the smallest compliment can save someone’s life 2. Remember that one person can change an entire nation 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70.

Pearls Before Breakfast - washingtonpost.com HE EMERGED FROM THE METRO AT THE L'ENFANT PLAZA STATION AND POSITIONED HIMSELF AGAINST A WALL BESIDE A TRASH BASKET. By most measures, he was nondescript: a youngish white man in jeans, a long-sleeved T-shirt and a Washington Nationals baseball cap. From a small case, he removed a violin. Placing the open case at his feet, he shrewdly threw in a few dollars and pocket change as seed money, swiveled it to face pedestrian traffic, and began to play. It was 7:51 a.m. on Friday, January 12, the middle of the morning rush hour. Each passerby had a quick choice to make, one familiar to commuters in any urban area where the occasional street performer is part of the cityscape: Do you stop and listen? On that Friday in January, those private questions would be answered in an unusually public way. The musician did not play popular tunes whose familiarity alone might have drawn interest. The acoustics proved surprisingly kind. So, what do you think happened? So, a crowd would gather? "Oh, yes."

Hidden variable theory Albert Einstein, the most famous proponent of hidden variables, objected to the fundamentally probabilistic nature of quantum mechanics,[1] and famously declared "I am convinced God does not play dice".[2] Einstein, Podolsky, and Rosen argued that "elements of reality" (hidden variables) must be added to quantum mechanics to explain entanglement without action at a distance.[3][4] Later, Bell's theorem would suggest (in the opinion of most physicists and contrary to Einstein's assertion) that local hidden variables of certain types are impossible. The most famous nonlocal theory is de Broglie-Bohm theory. Motivation[edit] Under the orthodox Copenhagen interpretation, quantum mechanics is nondeterministic, meaning that it generally does not predict the outcome of any measurement with certainty. Instead, it indicates what the probabilities of the outcomes are, with the indeterminism of observable quantities constrained by the uncertainty principle. "God does not play dice"[edit] .

Modality effect The modality effect is a term used in experimental psychology, most often in the fields dealing with memory and learning, to refer to how learner performance depends on the presentation mode of studied items. Description[edit] For serial recall, the modality effect is seen in an increased memory span for auditorally presented lists. Memory span is defined as the maximum number of items that participants correctly recall in 50% of trials. Typically, studies find these to be seven digits, six letters and five words.[3] In a study done by Drewnowski and Murdock, a visual list of English words was found to have an immediate recall of 4.82 words while an auditory representation of this same list led to a memory span of 5.36, a statistically significant variance.[4] Some studies use the term modality to refer to a general difference in performance based upon the mode of presentation. Several terms have been used to refer to the modality effect on recency. See also[edit] Multimedia learning

Quantum Entanglement Could Stretch Across Time In the weird world of quantum physics, two linked particles can share a single fate, even when they’re miles apart. Now, two physicists have mathematically described how this spooky effect, called entanglement, could also bind particles across time. If their proposal can be tested, it could help process information in quantum computers and test physicists’ basic understanding of the universe. “You can send your quantum state into the future without traversing the middle time,” said quantum physicist S. Jay Olson of Australia’s University of Queensland, lead author of the new study. In ordinary entanglement, two particles (usually electrons or photons) are so intimately bound that they share one quantum state — spin, momentum and a host of other variables — between them. Physicists have figured out how to use entanglement to encrypt messages in uncrackable codes and build ultrafast computers. Olson explained them with a Star Trek analogy. “It stimulated our imaginations,” said Fuentes.

De Broglie–Bohm theory The de Broglie–Bohm theory, also known as the pilot-wave theory, Bohmian mechanics, the Bohm or Bohm's interpretation, and the causal interpretation, is an interpretation of quantum theory. In addition to a wavefunction on the space of all possible configurations, it also includes an actual configuration, even when unobserved. The evolution over time of the configuration (that is, of the positions of all particles or the configuration of all fields) is defined by the wave function via a guiding equation. The evolution of the wave function over time is given by Schrödinger's equation. The theory is named after Louis de Broglie (1892–1987) and David Bohm (1917–1992). The de Broglie–Bohm theory is explicitly nonlocal: the velocity of any one particle depends on the value of the guiding equation, which depends on the whole configuration of the universe. The theory is deterministic. Overview[edit] De Broglie–Bohm theory is based on the following postulates: Where is the momentum operator. . .

The Heroes of Myth and Folklore: Part One – Defining a Hero | Once Upon A Time… Herakles battling the Hydra There is a special genre of tales in the texts of Hellenic mythology that recounts the deeds of extraordinary men and women such as Herakles, Perseus, Jason and Medeia to name but a few. These larger-than-life people are called the Heroes. Their stories derive from the most ancient form of the oral tradition and have evolved through the ages into the symbolic and historical mythology of mortals who were granted immortality through their destinies and the homage and remembrance of their descendants. To study the heroes is both an historical and symbolic journey that explores how the world of the immortal Gods interacts with the world of mortal men and women. The heroic tales speak not only of the history of mankind upon the earth but also explores the very nature of humanity itself. The Definition of a Hero The word hero in English has come to mean many things. (1) A person distinguished for valour, fortitude or bold enterprise ‘Not all who die, die‘ - Pindar J.

Primer (film) Primer is a 2004 American science fiction drama film about the accidental discovery of a means of time travel. The film was written, directed, and produced by Shane Carruth. Primer is of note for its extremely low budget (completed for $7,000), experimental plot structure, philosophical implications, and complex technical dialogue, which Carruth, a college graduate with a degree in mathematics and a former engineer, chose not to simplify for the sake of the audience.[2] The film collected the Grand Jury Prize at the 2004 Sundance Film Festival, before securing a limited release in the United States, and has since gained a cult following.[3] The operation of time travel in Primer. After arguing over the project that the group should tackle next, Aaron and Abe independently pursue work on technology intended to reduce the weight of an object. Having traveled back four days in time using this failsafe point, Abe goes to meet Aaron and collapses. List of films featuring time loops

Objective collapse theory Objective collapse theories are an approach to the interpretational problems of quantum mechanics. They are realistic, indeterministic and reject hidden variables. The approach is similar to the Copenhagen interpretation, but more firmly objective. The most well-known examples of such theories are: Compared to other approaches[edit] Collapse theories stand in opposition to many-worlds interpretation theories, in that they hold that a process of wavefunction collapse curtails the branching of the wavefunction and removes unobserved behaviour. Variations[edit] Objective collapse theories regard the present formalism of quantum mechanics as incomplete, in some sense. Collapse is found "within" the evolution of the wavefunction, often by modifying the equations to introduce small amounts of non-linearity. Objections[edit] The fact that these theories seek to extend the formalism is considered as violation of the principle of parsimony by some. GRW collapse theories have unique problems.

Related: