COSMOLOGY IN TERMS OF OBSERVABLES,

Abstract

Under the assumption that the Einstein field equations hold locally (in our stellar neighborhood), a system of field equations is obtained for aggregates through the use of an observation operator. This operator converts any tensor field into a corresponding tensor field of observables and accounts for both intrinsic errors, such as optical resolution, and any loss of information due to averaging or ensemble representations. The aggregate field equations are shown to require a reevaluation of all physical interpretations associated with previous relativistic cosmological models if the Einstein field equations hold locally. A basis for the reevaluation is given, together with conclusions concerning the cosmological metric tensor. In addition, a basic indeterminism in any relativistic cosmology is demonstrated, both in the field equations and in the equations of motion. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
AD0623276

Entities

People

  • Dominic G. B. Edelen

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Cosmology
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Mathematics
  • Observation
  • Partial Differential Equations

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Theoretical Analysis.