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Kayll Lake

Publications and source records attributed to Kayll Lake.

2 recordsLinked to original sources

The flatness problem and Lambda.

By way of a complete integration of the Friedmann equations, in terms of observables, it is shown that for the cosmological constant Lambda > 0 there exist nonflat Friedmann-Lemaître-Robertson-Walker models for which the total density parameter omega remains approximately 1 throughout the entire history of the Universe. Further, it is shown that in a precise quantitative sense these models are not finely tuned. When observations are brought to bear on the theory, and, in particular, the Wilkinson microwave anisotropy probe observations, they confirm that we live in just such a universe. The conclusion holds when the classical notion of Lambda is extended to dark energy.

Journal Article↗

Galactic potentials.

The information contained in galactic rotation curves is examined under a minimal set of assumptions. If emission occurs from stable circular geodesic orbits of a static spherically symmetric field, with information propagated to us along null geodesics, observed rotation curves determine galactic potentials without specific reference to any metric theory of gravity. Given the potential, the gravitational mass can be obtained by way of an anisotropy function of this field. The gravitational mass and anisotropy function can be solved simultaneously in a Newtonian limit without specifying any specific source. This procedure, based on a minimal set of assumptions, puts very strong constraints on any model of the "dark matter."

Journal Article↗