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AbstractAbstract

[en] An attempt is made to lay rational foundations for cosmology on the basis of the most elementary types of causality and related symmetry considerations. The theory employs a more natural operator to represent the physical energy than the conventional generator of temporal translation in Minkowski space. This new operator is a certain generator of the conformal group that physically closely approximates the conventional energy. A square-law redshift--distance dependence for sufficiently small distances is implied by the theory. 127 references

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Book

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Pure and Applied Mathematics Series of Monographs and Textbooks; 1976; 212 p; Academic Press, Inc; New York

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[en] A new theoretic postulate in fundamental physics is considered which is called the chronometric principle because it deals primarily with the nature of time, or its dual or conjugate, energy. Conformality is equivalent to causality. Thus, the group of all local causality-preserving transformations in the vicinity of a point of Minkowski space is, as a local Lie group, identical with the conformal group. The same statement made globally on Minkowski space is: The set of all vector fields on Minkowski space which generate smooth local causality-preserving transformations is identical with the set of all conformal vector fields. The main validation for the chronometric principle is in cosmology or ultramacroscopic physics. Therefore this principle is illustrated along the lines of the red shift. This principle in combination with quantum field theory leads to a convergent and causal description of particle production in which nonlinearities are supplanted by more sophisticated and comprehensive actions for the fundamental symmetry groups. 11 references

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Sharp, R.T.; Kolman, B. (eds.); p. 433-447; 1977; p. 433-447; Academic Press Inc; New York; 5. international colloquium in group theoretical methods in physics; Montreal, Canada; 5 - 9 Jul 1976

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[en] The essential geometric features of the chronometric cosmos and of the properties of Maxwell's equations in it are briefly discussed, and the implications for the long-time propagation of a photon in the chronometric cosmos are examined. An expression is obtained for the observed spectrum in relation to the emitted spectrum and the absorptive characteristics of matter in the universe. It is shown that the relatively flat spectrum of the X-ray background is consistent with the typically steeper spectrum of AGNs and quasars within the framework of the chronometric theory. 20 references

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[en] The probabilities of deviations between chronometric predictions and high-redshift quasar observations are examined. The main principles of the chronometric theory of Segal (1972) are discussed. The Schmidt et al. (1986) observations of 10 quasars in the range z = 0.7-2.7 and observations of eight quasars in the range z = 1.00-2.76 are compared with the observations of no quasars in the range z = 2.7-4.9 and z = 2.9-5.0, respectively, and the probabilities are calculated. Also the Koo and Kron (1986) observation of seven quasars with z greater than 2.2 is contrasted with the observation of 32 quasars in the range z = 0.9-3.1, and the probabilities are again estimated. It is noted that the observed high-redshift quasar cutoff shows no statistically significant departure from the predictions of the nonevolutionary and nonparametric chronometric cosmology. 8 references

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[en] A recent manuscript by Wright (1987) which purports to invalidate the chronometric cosmology by a comparison of its predictions with source counts is criticized. The main observational problem with the manuscript is found to be its gross exaggeration of the statistical definitiveness of the rise in the radio source log N-log S slope above the Euclidean value and its failure to recognize the extreme complexity of radio source count interpretation. Its statement that in the chronometric cosmology a source can appear bright by being close to the antipode where z = infinity is here stated to be false. It is argued that Wright's study ignores the statistics of the flux-redshift relation that is fundamental for testing theories as to the nature of the redshift, is based on the logically inconclusive question of the spatial distribution of sources, and indicates levels of significance derived by a posteriori reasoning, involving unrealistic assumptions. 21 references

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[en] Results of comprehensive observational tests of the cosmological theory proposed by Segal in 1972 are summarized in this and succeeding notes. Within a framework of natural and general causality and symmetry considerations, the theory is mathematically essentially unique. It implies definite relations between directly observed quantities (redshift, apparent magnitude and diameter, number counts, and the like) which are entirely free of adjustable parameters, such as the q

_{0}and Λ of general relativistic cosmologies. Rigorous statistical analysis of large (greater than 100) or systematically defined samples of galaxies or quasars accepts these relations at substantial probability levels. Note I establishes uniform statistical procedures and compares the redshift--magnitude relations of major samples with the theoretical relations of the present and expansion theories. (auth)Primary Subject

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Proceedings of the National Academy of Sciences of the United States of America; v. 72(7); p. 2473-2477

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[en] An overview is given of old and new approaches to field quantization. (Auth.)

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International symposium on perspectives in modern field theories; Stockholm, Sweden; 23 - 26 Sep 1980

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Physica Scripta; ISSN 0031-8949; ; v. 24(5); p. 827-831

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[en] The Palomar Bright Quasar Survey and other complete samples derived by Schmidt and Green from quasar surveys are used for comparative cosmological studies and for predictions of quasar counts. Systematic self-tests and mutual cross-tests of the chronometric and Friedman cosmologies are made. Nonparametric estimates of the normalized luminosity function are made that involve no assumption as to the homogeneity of the spatial distribution of quasars and are statistically optimal in this respect. The homogeneity question is studied independently by V/V/sub m/ tests

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[en] Maximum-likelihood estimates are made for the exponent p in the phenomenological redshift-distance relation z varies as r/sup p/ for galaxies at redshifts less than or equal to 0.03, on the basis of redshift (z)-magnitude (m)-apparent diameter (theta) observations given in the Reference Catalogue of Bright Galaxies [de Vaucouleurs, G. and de Vaucouleurs, A. (1964)]. The estimates are in the range 1.96 less than or equal to p less than or equal to 2.04 for the full sample of 742 galaxies having m - z - theta data, with dispersions less than or equal to 0.08, and in a similar but broader range for various subsamples. Explicit allowance for an observational cutoff in apparent magnitude in the m - z relation reinforces the result that p is approximately equal 2. Independent estimation based on a cut-off independent generalized Kafka--Schmidt V/V/sub m/ test for a subsample in conservatively limited redshift and magnitude ranges yields p = 2.05

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Proceedings of the National Academy of Sciences of the United States of America; v. 72(12); p. 4691-4695

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[en] The chronometric cosmology (CC) provides a close fit to the proper motion-redshift relation compiled by previous authors, consistently with isotropy of the directions of motion. No adjustable cosmological parameters or evolution are required, but the radius R of the Universe (which sets the cosmic distance scale in CC) can be estimated in a statistically consistent way from the directly observed data. On the basis of the present sample, R is estimated at 160±40 Mpc; the corresponding values of the Hubble ration cz/r are 5, 55 and 95 at the Local Group, Virgo and z=0.01 reconciling disparate ladder-based estimates. The data indicate a velocity of separation of the order of 0.96c with small dispersion, of the order of 2 per cent. The directions of motion of the individual sources are also estimated. (author)

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Monthly Notices of the Royal Astronomical Society; ISSN 0035-8711; ; CODEN MNRAA; v. 242(3); p. 423-427

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