The cosmological constant and the gauge-covariant theory of gravitation

Mathematics

Scientific paper

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Cosmology, Gauge Invariance, Gravitation Theory, Relativity, Light Speed, Plancks Constant, Space-Time Functions, Theoretical Physics, Transformations (Mathematics)

Scientific paper

The meaning of the cosmological constant as expressed in different systems of units each of which is subject to different physical laws is considered. Systems of measurements are noted to not exist independent of the measuring instrument, and expressions of gravity in terms of the speed of light, Planck's constant, and Newton's constant are formulated, all in Einstein units, for mass, length, and time dimensions. Further expressions for the same units are defined for QED terms, and the Einstein system is shown to be equivalent to the QED system through a factor of 4.92 x 10 to the 22nd. Scale transformations in general are reviewed, focusing on the SU atomic units. The existence of a cosmological constant expressed in Einstein terms which can be determined from zero-point energy of a nontrivial vacuum is indicated.

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