Biomedical subjects

I E Segal

Publications and source records attributed to I E Segal.

8 recordsLinked to original sources

PubMed1999

Is redshift-dependent evolution of galaxies a theoretical artifact?

The physical validity of the hypothesis of (redshift-dependent) luminosity evolution in galaxies is tested by statistical analysis of an intensively studied complete high-redshift sample of normal galaxies. The necessity of the evolution hypothesis in the frame of big-bang cosmology is confirmed at a high level of statistical significance; however, this evolution is quantitatively just as predicted by chronometric cosmology, in which there is no such evolution. Since there is no direct observational means to establish the evolution postulated in big-bang studies of higher-redshift galaxies, and the chronometric predictions involve no adjustable parameters (in contrast to the two in big-bang cosmology), the hypothesized evolution appears from the standpoint of conservative scientific methodology as a possible theoretical artifact.

Astronomical Phenomena↗

PubMed1998

Cosmological implications of a large complete quasar sample.

Objective and reproducible determinations of the probabilistic significance levels of the deviations between theoretical cosmological prediction and direct model-independent observation are made for the Large Bright Quasar Sample [Foltz, C., Chaffee, F. H., Hewett, P. C., MacAlpine, G. M., Turnshek, D. A., et al. (1987) Astron. J. 94, 1423-1460]. The Expanding Universe model as represented by the Friedman-Lemaitre cosmology with parameters qo = 0, Lambda = 0 denoted as C1 and chronometric cosmology (no relevant adjustable parameters) denoted as C2 are the cosmologies considered. The mean and the dispersion of the apparent magnitudes and the slope of the apparent magnitude-redshift relation are the directly observed statistics predicted. The C1 predictions of these cosmology-independent quantities are deviant by as much as 11sigma from direct observation; none of the C2 predictions deviate by >2sigma. The C1 deviations may be reconciled with theory by the hypothesis of quasar "evolution," which, however, appears incapable of being substantiated through direct observation. The excellent quantitative agreement of the C1 deviations with those predicted by C2 without adjustable parameters for the results of analysis predicated on C1 indicates that the evolution hypothesis may well be a theoretical artifact.

Journal Article↗

PubMed1998

The Black-Scholes pricing formula in the quantum context.

A natural explanation for extreme irregularities in the evolution of prices in financial markets is provided by quantum effects. The lack of simultaneous observability of relevant variables and the interference of attempted observation with the values of these variables represent such effects. These characteristics have been noted by traders and economists and appear intrinsic to market dynamics. This explanation is explored here in terms of a corresponding generalization of the Wiener process and its role in the Black-Scholes-Merton theory. The differentiability of the Wiener process as a sesquilinear form on a dense domain in the Hilbert space of square-integrable functions over Wiener space is shown and is extended to the quantum context. This provides a basis for a corresponding generalization of the Ito theory of stochastic integration. An extension of the Black-Scholes option pricing formula to the quantum context is deduced.

Journal Article↗

PubMed1994

Convergence of quantum electrodynamics in a curved modification of Minkowski space.

The interaction and total hamiltonians for quantum electrodynamics, in the interaction representation, are entirely regular self-adjoint operators in Hilbert space, in the universal covering manifold M of the conformal compactification of Minkowski space Mo. (M is conformally equivalent to the Einstein universe E, in which Mo may be canonically imbedded.) In a fixed Lorentz frame this may be expressed as convergence in a spherical space with suitable periodic boundary conditions in time. The traditional relativistic theory is the formal limit of the present variant as the space curvature vanishes.

Journal Article↗

PubMed1993

Geometric derivation of the chronometric redshift.

The chronometric redshift-distance relation z = tan 2(1/2rho), where rho is the distance in radians in the Einstein metric, is derived by an elementary geometric analysis comparable to that in traditional analysis of the expanding universe model. The differential dTt of Einstein time evolution Tt through time t, as applied to the local Minkowski coordinates x, takes the form sec2(1/2t). At the point of observation t = rho, implying that for a sufficiently localized source, observed wave lengths are a factor of sec2(1/2rho) greater than the corresponding emitted wave lengths.

Journal Article↗

PubMed1993

The redshift-distance relation.

Key predictions of the Hubble law are inconsistent with direct observations on equitable complete samples of extragalactic sources in the optical, infrared, and x-ray wave bands-e.g., the predicted dispersion in apparent magnitude is persistently greatly in excess of its observed value, precluding an explanation via hypothetical perturbations or irregularities. In contrast, the predictions of the Lundmark (homogeneous quadratic) law are consistent with the observations. The Lundmark law moreover predicts the deviations between Hubble law predictions and observation with statistical consistency, while the Hubble law provides no explanation for the close fit of the Lundmark law. The flux-redshift law F [symbol, see text] (1 + z)/z appears consistent with observations on equitable complete samples in the entire observed redshift range, when due account is taken of flux limits by an optimal statistical method. Under the theoretical assumption that space is a fixed sphere, as in the Einstein universe, this law implies the redshift-distance relation z = tan2(r/2R), where R is the radius of the spherical space. This relation coincides with the prediction of chronometric cosmology, which estimates R as 160 +/- 40 Mpc (1 parsec = 3.09 x 10(16) m) from the proper motion to redshift relation of superluminal sources. Tangential aspects, including statistical methodology, fundamental physical theory, bright cluster galaxy samples, and proposed luminosity evolution, are briefly considered.

Journal Article↗

PubMed1992

Apparent nonlinearity of the redshift-distance relation in infrared astronomical satellite galaxy samples.

The Hubble (linear) redshift-distance law predicts values for directly observed quantities that are quite deviant from their actual values in infrared astronomical satellite (IRAS) galaxy samples. These samples are objectively defined, have modern measurements, are presently the largest such samples to which the Hubble law is theoretically applicable, and are otherwise generally considered to be statistically appropriate. The Hubble law predicts in particular that the dispersion in log flux will be much greater than it is observed to be. This type of deviation is fundamentally incapable of explanation via the assumption of any physically known type of perturbation. The Lundmark (quadratic) redshift-distance law predicts values for these directly observed quantities that are consistent with, and in fact quite close to, their actual values in the same samples. The predictions of a cubic law are typically deviant from observation but somewhat less so than those of the Hubble law. The Lundmark law accurately predicts the deviations from observation of statistical estimates predicated on either the Hubble or the cubic law. Parallel predictions for the latter laws for the results of statistical estimation predicated on the alternative laws are typically quite inaccurate. The Hubble and Lundmark laws are predicted at the low redshifts of the IRAS galaxy samples by generic big bang cosmology (BBC) and chronometric cosmology (CC), respectively. The present results confirm earlier studies of a variety of objectively defined samples of discrete sources in other wave bands that were contraindicative of BBC and indicative of CC.

Journal Article↗

PubMed1991

Is the cygnet the quintessential baryon?

The apparently new hadron-like particle ("cygnet") indicated by cosmic ray observations on certain neutron stars is predicted to be a spin 1/2 fermion of magnetic moment and charge 0 and lifetime infinity. This derives from the natural identification of the cygnet with the one hitherto unobserved fundamental fermion of chronometric particle theory, the x or "exon", which plays the role of a quintessential baryon. The "partons" are represented by the other fundamental fermions, consisting of e, nue, and numu; e.g., n = x + e+ + e-, p = x + e+ + nue. With further empirical assignments, chronometric theory has a potential for explaining diverse phenomena, such as mixing in the neutral kaon complex and the nature of the higher electrons. Its fundamental fermion and boson fields transform indecomposably under its symmetry group, the conformal group G. Theoretical elementary particles transforming irreducibly under G derive as successive quotients in a maximal chain of invariant subspaces. Mass fixing by Mach's principle breaks the symmetry down to microscopically observed covariance with respect to the Poincare group P0. The resulting representation is normally irreducible, but splits in the case of the K0 into two P0-irreducible components that are mixed by the excess of the chronometric over the relativistic energy ("gravity"), which provides a "superweak" force that may be explanatory of CP violation.

Journal Article↗