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1 ON THE MACHIAN ORIGIN OF INERTIA
, 2008
"... We examine Sciama’s inertia theory; by combining rotation and expansion we find the angular speed of the Universe, and we stress that the theory is zerototalenergy valued. We compare with other theories of the same null energy background. We determine the numerical value of a constant which appear ..."
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appears in the Machian inertial force expression devised by Graneau and Graneau[2], by introducing the above angular speed. We point out that this last theory is not restricted to Newtonian physics as those authors stated but is, in fact, compatible with other cosmological and gravitational theories
Quantum Behavior in Machian Model
, 2009
"... The essentials of quantum theory, the Schrödinger equation and the Planck constant, are derived using classical statistical mechanics within the nonlocal Machan model. The appearance of complex wave function is connected with the necessity of quantization condition when one neglects the existence o ..."
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The essentials of quantum theory, the Schrödinger equation and the Planck constant, are derived using classical statistical mechanics within the nonlocal Machan model. The appearance of complex wave function is connected with the necessity of quantization condition when one neglects the existence
MACHIAN ELEMENTS AND PSYCHOPHYSICAL RELATIONS
"... Ernst Mach’s “causal map ” conception of psychophysics is compared with G.T. Fechner’s and with contemporary problems of mindbrain identity and psychophysical parallelism. Psychophysics, since its official inception in the work of G.T. Fechner, whom we celebrate today, has always been about more th ..."
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are related as a function of the angle of view. There is no need for a “penny in itself ” underneath; the penny is the sum of all its aspects. Mach’s mature scientific worldview, his theory of elements and functions, first appeared in the 1872 Pamphlet History and Root of the Principle of the Conservation of
A Machian Solution of Hierarchy Problem
, 2008
"... The new interpretation of Mach’s Principle, that mass of a particle is a measure of interactions of this particle with all other gravitating particles inside of its causal spheres, is introduced. It is shown that within some alternative model of gravitation that incorporates this principle Machian i ..."
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The new interpretation of Mach’s Principle, that mass of a particle is a measure of interactions of this particle with all other gravitating particles inside of its causal spheres, is introduced. It is shown that within some alternative model of gravitation that incorporates this principle Machian
A Relational Concept of Machian Relativity
"... Mach’s principle fits into the wider "relational principle", advocating that not only inertia, but also space and time emerge from the interaction of matter. Concepts of a Machian/relational theory are proposed, where inertia and energy are defined as mutual properties between pairs of ob ..."
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Mach’s principle fits into the wider "relational principle", advocating that not only inertia, but also space and time emerge from the interaction of matter. Concepts of a Machian/relational theory are proposed, where inertia and energy are defined as mutual properties between pairs
Uniqueness of the Machian Solution in the BransDicke Theory
, 2001
"... Machian solutions of which the scalar field exhibits the asymptotic behavior φ = O(ρ/ω) are generally explored for the homogeneous and isotropic universe in the BransDicke theory. It is shown that the Machian solution is unique for the closed and the open space. Such a solution is restricted to one ..."
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Machian solutions of which the scalar field exhibits the asymptotic behavior φ = O(ρ/ω) are generally explored for the homogeneous and isotropic universe in the BransDicke theory. It is shown that the Machian solution is unique for the closed and the open space. Such a solution is restricted
Cosmological PPN Formalism and NonMachian Gravitational Theories
, 1996
"... There appears to be little agreement what Mach’s principle actually is this was my chief impression from a recent conference on Mach’s principle at Tübingen (Germany). Should we relate it to the requirement that the inertial mass of a body is determined by the remaining bodies in the Universe? Or s ..."
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There appears to be little agreement what Mach’s principle actually is this was my chief impression from a recent conference on Mach’s principle at Tübingen (Germany). Should we relate it to the requirement that the inertial mass of a body is determined by the remaining bodies in the Universe? Or should we follow one of Barbours suggestions
Relational Relativity
, 2002
"... According to a simple model of inertia a Machianized theory of special and general relativity named as relational relativity is presented. ..."
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According to a simple model of inertia a Machianized theory of special and general relativity named as relational relativity is presented.
Quantum Machian Time in Newtonian Mechanics and Beyond
, 2008
"... We study a formulation of Newtonian mechanics where the time translational invariance of the theory is bestmatched, a procedure that is mathematically similar to gauging a symmetry. Using insights gained from this procedure, we can move back and forth between absolute and relational time by chang ..."
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by changing the way in which the auxiliary fields (analogous to gauge fields) are varied. We then proceed to quantize this theory using Dirac and path integral quantizations. We discover that one of the constraints of the theory, which we call the Machian constraint, is responsible for removing the dependence
Classical Machian Resolution of the Spacetime Reconstruction Problem
"... Following from a question of Wheeler, why does the Hamiltonian constraint H of GR have the particular form it does?. A first answer, by Hojman, Kuchař and Teitelboim, is that using embeddability into spacetime as a principle gives the form of H. The present paper culminates a second Machian answer – ..."
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Following from a question of Wheeler, why does the Hamiltonian constraint H of GR have the particular form it does?. A first answer, by Hojman, Kuchař and Teitelboim, is that using embeddability into spacetime as a principle gives the form of H. The present paper culminates a second Machian answer
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