The algebra of polynomials in operators that represent generalized coordinate and momentum and depend on the Planck constant is defined. The Planck constant is treated as the parameter taking values between zero and some nonvanishing $h_0$ . For the second of these two extreme values, introduced operatorial algebra becomes equivalent to the algebra of observables of quantum mechanical system defined in the standard manner by operators in the Hilbert space. For the vanishing Planck constant, the generalized algebra gives the operator formulation of classical mechanics since it is equivalent to the algebra of variables of classical mechanical system defined, as usually, by functions over the phase space. In this way, the semiclassical limit of kinematical part of quantum mechanics is established through the generalized operatorial framework.The algebra of polynomials in operators that represent generalized coordinate and momentum and depend on the Planck constant is defined. The Planck constant is treated as the parameter taking values between zero and some nonvanishing $h_0$. For the second of these two extreme values, introduced operatorial algebra becomes equivalent to the algebra of observables of quantum mechanical system defined in the standard manner by operators in the Hilbert space. For the vanishing Planck constant, the generalized algebra gives the operator formulation of classical mechanics since it is equivalent to the algebra of variables of classical mechanical system defined, as usually, by functions over the phase space. In this way, the semiclassical limit of kinematical part of quantum mechanics is established through the generalized operatorial framework.

arXiv:quant-ph/0103044Mar 9, 20010 citations

A variable behaving as a quantum in economic system

Kazuyoshi Kitazawa

A variable behaving as a quantum in economic system is studied on the basis of quantum mechanics. The several formulas of relevant variable are derived along with this speculation. Thus a possible value for the common constant which may be understood as Planck constant in economic system is calculated. There, a concerned variable seems to exhibit a quantum behavior.Recently it has been pointed out that there might be a similarity between the rational expectation hypothesis in economics and quantum mechanics, where their observers are both in respective systems. Nevertheless, on the other hand, the principle of uncertainty in economics has not yet been discovered so far. Therefore we will study on this problem by starting to formulate the basic equations respective which correspond to quantum mechanics. Here we pursue solely a behavior of certain representative variable with which an important econophysical quantity is newly introduced, and then discuss about Planck constant in economic system.A variable behaving as a quantum in economic system is studied on the basis of quantum mechanics. The several formulas of relevant variable are derived along with this speculation. Thus a possible value for the common constant which may be understood as Planck constant in economic system is calculated. There, a concerned variable seems to exhibit a quantum behavior.Recently it has been pointed out that there might be a similarity between the rational expectation hypothesis in economics and quantum mechanics, where their observers are both in respective systems. Nevertheless, on the other hand, the principle of uncertainty in economics has not yet been discovered so far. Therefore we will study on this problem by starting to formulate the basic equations respective which correspond to quantum mechanics. Here we pursue solely a behavior of certain representative variable with which an important econophysical quantity is newly introduced, and then discuss about Planck constant in economic system.

Oct 19, 20200 citations

Consciousness and quantum mechanics

Max R. Bennett

Journal and proceedings of the Royal Society of New South WalesJun 1, 19961 citation

Space-Time-Event-Motion (STEM): A New Metaphor for a New Concept Based on a Triadic Model and Process Philosophy

Joseph Naimo

The disciplinary enterprises engaged in the study of consciousness now extend beyond their original paradigms providing additional knowledge toward an overall understanding of the fundamental meaning and scope of consciousness. A new transdisciplinary domain has resulted from the syncretism of several approaches bringing about a new paradigm. The background for this overarching enterprise draws from a variety of traditions. In this paper however elaboration is restricted to the quantum-mechanical account in David Bohm’s theoretical work in relation to his ideas about “active information”, “protointelligence”, and “non-locality”. This leads to an adapted version of Bohm’s thesis concerning the implicate order and explicate order of the Universe - the Impression Order and the Expression Order, respectively. On this view, the Universe is formed on an actual-material level, the apparent properties of things, and a potential-material level, a constant process of becoming that exerts an attractive force on the present. The central thesis emerges from a radical reformulation of certain core concepts that transforms many ontological assumptions about the material basis of consciousness. That is, the above platform inclusively connects to a hypothesis that the concepts of ‘space’, ‘time’, ‘event’, and ‘motion’ (STEM) can be unified to capture the notion of simultaneous activity at reducing levels to the Impression order. This notion coheres with a physical-theoretical model of Signature-Energy-Frequency (SEF) (paralleled to Planck’s Constant) which has been well demonstrated in the atomic, chemical, and information fields. This study embraces a holistic and creative worldview based on a triadic model wherein consciousness itself is postulated as the most basic, primordial stratum. Importantly, both orders are constantly conjoined since the Impression Order exists as potential energy of the quantum vacuum. The physical realm is formed by the proposed Triangulate-Three conditions as a principle of animation and ‘being’: Consciousness, Body-of-Experience and Intellect-Reflective in the Expression Order, one aspect of which emerge as lifelike properties. This Triangulate-Three principle (i.e. metaphysical principle) inheres in every particle and organism to which it guides its development, adaptation, and survival. The conscious being thus possesses (or manifests) all three conditions in Expression Order through STEM-interactions via SEF transmissions, as a self-organising organism.The disciplinary enterprises engaged in the study of consciousness now extend beyond their original paradigms providing additional knowledge toward an overall understanding of the fundamental meaning and scope of consciousness. A new transdisciplinary domain has resulted from the syncretism of several approaches bringing about a new paradigm. The background for this overarching enterprise draws from a variety of traditions. In this paper however elaboration is restricted to the quantum-mechanical account in David Bohm’s theoretical work in relation to his ideas about “active information”, “protointelligence”, and “non-locality”. This leads to an adapted version of Bohm’s thesis concerning the implicate order and explicate order of the Universe - the Impression Order and the Expression Order, respectively. On this view, the Universe is formed on an actual-material level, the apparent properties of things, and a potential-material level, a constant process of becoming that exerts an attractive force on the present. The central thesis emerges from a radical reformulation of certain core concepts that transforms many ontological assumptions about the material basis of consciousness. That is, the above platform inclusively connects to a hypothesis that the concepts of ‘space’, ‘time’, ‘event’, and ‘motion’ (STEM) can be unified to capture the notion of simultaneous activity at reducing levels to the Impression order. This notion coheres with a physical-theoretical model of Signature-Energy-Frequency (SEF) (paralleled to Planck’s Constant) which has been well demonstrated in the atomic, chemical, and information fields. This study embraces a holistic and creative worldview based on a triadic model wherein consciousness itself is postulated as the most basic, primordial stratum. Importantly, both orders are constantly conjoined since the Impression Order exists as potential energy of the quantum vacuum. The physical realm is formed by the proposed Triangulate-Three conditions as a principle of animation and ‘being’: Consciousness, Body-of-Experience and Intellect-Reflective in the Expression Order, one aspect of which emerge as lifelike properties. This Triangulate-Three principle (i.e. metaphysical principle) inheres in every particle and organism to which it guides its development, adaptation, and survival. The conscious being thus possesses (or manifests) all three conditions in Expression Order through STEM-interactions via SEF transmissions, as a self-organising organism.

Jan 1, 20030 citations

h_0

. For the second of these two extreme values, introduced operatorial algebra becomes equivalent to the algebra of observables of quantum mechanical system defined in the standard manner by operators in the Hilbert space. For the vanishing Planck constant, the generalized algebra gives the operator formulation of classical mechanics since it is equivalent to the algebra of variables of classical mechanical system defined, as usually, by functions over the phase space. In this way, the semiclassical limit of kinematical part of quantum mechanics is established through the generalized operatorial framework.