• Corpus ID: 45133544

Einstein ’ s Static Universe : An Idea Whose Time Has Come Back ?

  title={Einstein ’ s Static Universe : An Idea Whose Time Has Come Back ?},
  author={Irving Ezra Segal},
W hat is the shape of space? Is the universe finite or infinite? Did the world have a beginning, or has it always existed? These fundamental questions have intrigued and baffled humans since the most ancient times. But it was only in the twentieth century, with the development of powerful tools for probing the immensity of the skies, that it became possible to explore the cosmos beyond our galaxy’s neighborhood. Concurrently, advances in physics and mathematics provided the conceptual framework… 

Differential Geometric Aspects of Causal Structures

  • Omid Makhmali
  • Mathematics
    Symmetry, Integrability and Geometry: Methods and Applications
  • 2018
This article is concerned with causal structures, which are defined as a field of tangentially non-degenerate projective hypersurfaces in the projectivized tangent bundle of a manifold. The local

Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation

A solution to the more than 300-years old problem of geometric and physical interpretation of fractional integration and dieren tiation (i.e., integration and dieren tiation of an arbitrary real

Irving Segal's axiomatization of spacetime and its cosmological consequences

Irving Ezra Segal (1918-1998) has proposed some axioms for mathematical cosmology. These are here re-examined and Segal's redshift formula and energy conservation in the Einstein universe are



The Large Scale Structure of Space-Time

The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.

Testing the Hubble Law with the IRAS 1.2 Jy Redshift Survey

We test and reject the claim of Segal and coworkers that the correlation of redshifts and flux densities in a complete sample of IRAS galaxies favors a quadratic redshift-distance relation over the

Theoretical foundations of the chronometric cosmology.

  • I. Segal
  • Physics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1976
The derivation of the redshift (z)-distance (r) relation in the chronometric theory of the Cosmos is amplified and this deviation and the (quantum) dispersion in redshift are shown to be unobservably small.

A simple test of independence for truncated data with applications to redshift surveys

This paper presents an easily applied permutation test for H0, closely related to Lyden-Bell's (1971) estimate of the marginal distribution of truncated data. The test is applied to two

The four-dimensionality of space and the einstein tensor

All tensors of contravariant valency two, which are divergence free on one index and which are concomitants of the metric tensor, together with its first two derivatives, are constructed in the

Kosmologische Betrachtungen zur allgemeinen Relativitätstheorie

Es ist wohlbekannt, das die Poissonsche Differentialgleichung $$\Delta \phi = 4\pi K\varrho$$ (1) in Verbindung mit der Bewegungsgleichung des materiellen Punktes die Newtonsche

The Inflationary Universe

Statistically efficient testing of the hubble and lundmark laws on IRAS galaxy samples

The local redshift-distance (z-r) power laws, z∞r p , of exponents p=1, 2, which are predicted respectively by generic big bang cosmology and chronometric cosmology, are tested on flux- and

The cosmological constant: Einstein's greatest mistake?