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Cambridge University Press eBooks

Complementarity from the line of fire

SARAH M. H. NOUWEN

Published Nov 5, 2013• 0 citations
Publisher
DOI
10.1017/cbo9780511863264.005

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This article analyses the firewall paradox (wall‑of‑fire paradox, AMPS) — one of the most discussed challenges to modern quantum gravity. The paradox arises from an apparent contradiction between three postulates: the unitarity of quantum mechanics, the semiclassical description of Hawking radiation, and Einstein’s equivalence principle. Proponents of “informational language” argue that to save information, one must abandon the equivalence principle and accept the existence of a high‑energy “firewall” at the event horizon of a collapsar. It is shown that the firewall paradox is a problem of “informational language” , not a physical contradiction. The paradox is rooted in the conflation of the three senses of “information” (configuration, observer’s knowledge, pseudosubstance) introduced in Article 1. When reformulated in physical language (configuration, quantum correlations, unitary evolution), the need for a “firewall” disappears. Monogamy of entanglement is a property of quantum correlations, not an “informational principle”. The change in correlation structure after Page time is a technical problem, not a fundamental contradiction. Alternative approaches (Susskind’s complementarity) that do not require a firewall are considered. Responses to possible objections are given. The reformulation preserves the equivalence principle, eliminates the pseudo‑paradox, and turns the problem into a technical description of quantum correlations. The article is the seventh in the series “Reformulating Key Concepts of Physics Without Informational Language”. Keywords: firewall paradox, wall of fire, AMPS, collapsar, information, quantum correlations, monogamy of entanglement.

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Linearly aligned superradiant Bose-Einstein condensates diffracted by a single short laser pulse

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Multiorder bidirectional superradiant Bose-Einstein condensates (BECs) were generated in a straight line by an irradiation of a single unidirectional short laser pulse along the long axis of a cigar-shaped sodium BEC in a magnetic trap. The probabilities of the diffracted BECs as a function of the laser intensity were well explained by the square of the Bessel functions and it was estimated that the intensity of the end-fire beam was 25$%$ of the laser intensity. The backward diffractions disappeared at pulse duration longer than 5 \ensuremath{\mu}s because of energy conservation. The probability for the $+$first-order diffraction grew exponentially with pulse duration when the backward diffractions disappeared. We observed the linearly aligned diffracted BECs along the propagation direction of the laser beam, regardless of the aspect ratio of the condensates. This fact indicates that the end-fire beam is triggered by the small backreflection from the vacuum window.

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Cognition

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As an interpretation of quantum mechanics, QBism has also accepted cognition as a central tenet that allows the Born rule of quantum mechanics to be viewed as a ‘normative rule’ rather than a natural law. According to the Britannica Online Encyclopedia , ‘Cognition includes all conscious and unconscious processes by which knowledge is accumulated, such as perceiving, recognizing, conceiving, and reasoning’. The main types of cognitive processes are attention, language, learning, memory and thought. Neuroscience deals mainly with the brain architecture and brain phenomena like neuron firings that accompany cognitive processes. Its main tools are functional magnetic resonance imaging and positron emission tomography. The influence of the body on the mind and cognition was recognized thousands of years ago in India, resulting in yoga practices coupled with meditation for mind control. Contextuality-complementarity seems to be a universal principle, but its exact meaning or the way in which we measure them varies in subtle ways between quantum physics and cognition.

Routledge eBooks•Nov 6, 2023•0 citations
This article analyses the firewall paradox (wall‑of‑fire paradox, AMPS) — one of the most discussed challenges to modern quantum gravity. The paradox arises from an apparent contradiction between three postulates: the unitarity of quantum mechanics, the semiclassical description of Hawking radiation, and Einstein’s equivalence principle. Proponents of “informational language” argue that to save information, one must abandon the equivalence principle and accept the existence of a high‑energy “firewall” at the event horizon of a collapsar. It is shown that the firewall paradox is a problem of “informational language” , not a physical contradiction. The paradox is rooted in the conflation of the three senses of “information” (configuration, observer’s knowledge, pseudosubstance) introduced in Article 1. When reformulated in physical language (configuration, quantum correlations, unitary evolution), the need for a “firewall” disappears. Monogamy of entanglement is a property of quantum correlations, not an “informational principle”. The change in correlation structure after Page time is a technical problem, not a fundamental contradiction. Alternative approaches (Susskind’s complementarity) that do not require a firewall are considered. Responses to possible objections are given. The reformulation preserves the equivalence principle, eliminates the pseudo‑paradox, and turns the problem into a technical description of quantum correlations. The article is the seventh in the series “Reformulating Key Concepts of Physics Without Informational Language”. Keywords: firewall paradox, wall of fire, AMPS, collapsar, information, quantum correlations, monogamy of entanglement.
Multiorder bidirectional superradiant Bose-Einstein condensates (BECs) were generated in a straight line by an irradiation of a single unidirectional short laser pulse along the long axis of a cigar-shaped sodium BEC in a magnetic trap. The probabilities of the diffracted BECs as a function of the laser intensity were well explained by the square of the Bessel functions and it was estimated that the intensity of the end-fire beam was 25% of the laser intensity. The backward diffractions disappeared at pulse duration longer than 5 \ensuremath{\mu}s because of energy conservation. The probability for the +++first-order diffraction grew exponentially with pulse duration when the backward diffractions disappeared. We observed the linearly aligned diffracted BECs along the propagation direction of the laser beam, regardless of the aspect ratio of the condensates. This fact indicates that the end-fire beam is triggered by the small backreflection from the vacuum window.
As an interpretation of quantum mechanics, QBism has also accepted cognition as a central tenet that allows the Born rule of quantum mechanics to be viewed as a ‘normative rule’ rather than a natural law. According to the Britannica Online Encyclopedia , ‘Cognition includes all conscious and unconscious processes by which knowledge is accumulated, such as perceiving, recognizing, conceiving, and reasoning’. The main types of cognitive processes are attention, language, learning, memory and thought. Neuroscience deals mainly with the brain architecture and brain phenomena like neuron firings that accompany cognitive processes. Its main tools are functional magnetic resonance imaging and positron emission tomography. The influence of the body on the mind and cognition was recognized thousands of years ago in India, resulting in yoga practices coupled with meditation for mind control. Contextuality-complementarity seems to be a universal principle, but its exact meaning or the way in which we measure them varies in subtle ways between quantum physics and cognition.