Defining Arrow of Time at The Start of Inflation Using Traditional Cosmology Initially as an Example and Finally Penrose Cyclic Conformal Cosmology with Singular versus Nonsingular Starting Points?

We first of all define the arrow of time. Definition of the arrow of time will allow choosing different initial starting points. One of the issues we will also discuss is the interconnection be-tween the arrow of time, entropy and quantum information. Seth Lloyd in his 2001 work made a linkage between entropy, bits, and information via an axiomatic approach involving time in-tervals. Our take is a bit more general. We will discuss as well the t’Hooft’s statement as to in-itial conditions and times arrow, and how different cosmological models may influence initial conditions. Spoilers alert, if a nonsingular start to expansion existed, this would provide the most straightforward way to avoid a datum from classical relativity. That is, that in the actual equations of classical GR, there is no reason to have time asymmetry. Time asymmetry is built into initial conditions and we will detail several candidates. The first half of the paper brings up cosmology models and forming the arrow of time. The second is related to entropy itself and the problem of information. .

Conformal Cosmology with a Complex Scalar Field and a Gauge-Mediated Supersymmetric Breaking Potential

We discuss the implications of a complex scalar field in conformal cosmology in the presence of a gauge-mediated supersymmetric (SUSY) breaking potential. A connection between the cosmological constant, the SUSY mass of the field and the Hubble mass is obtained. The transition from the complex to the real scalar field reveals a number of results in FRW cosmology, which are in agreement with data provided by recent astronomical observations, in particular, the pulsating white dwarf G116-B15A concerning the estimates of the probable range of the gravitational constant.