Twin Universes Cosmology
Twin Universes Cosmology
Astronomy and Space Science
226: 273–307, 1995
Jean-Pierre Petit
Observatory of Marseille, France
Abstract
Beginning with the field equation S = c ( T – A(T) ), introduced in a previous paper, we present recent findings based on numerical simulations. These findings lead to a new model applicable to the very large-scale structure of the Universe. An inverse gravitational lensing theory is developed; according to this theory, observed effects could primarily result from the influence of surrounding “antipodal matter.” This provides an alternative explanation to the one involving dark matter. Next, we develop a cosmological model. Given the assumption of homogeneity, the metric must satisfy the equation S = 0, even though the total mass of the Universe is non-zero. To avoid the trivial solution R = constant × t, we consider a model featuring “variable constants.” We then derive the relationships between various physical constants—G, c, h, m—ensuring that fundamental physical equations remain invariant; thus, variations in these constants cannot be measured in laboratories. The sole consequence of such variations is redshift, caused by the gradual change in these constants over time. All forms of energy remain conserved, but masses do not. We find that all characteristic lengths—such as Schwarzschild, Jeans, Compton, and Planck lengths—vary proportionally to the characteristic length R; consequently, all characteristic times vary proportionally to cosmic time t. Since the energy of photons remains constant during their journey, their frequency decreases due to the increase in the Planck constant h » t. Under these conditions, the field equations admit only one solution, characterized by negative curvature and an evolution law wherein R varies as t²/3.
This model is no longer isentropic; moreover, s » Log t. The cosmological horizon evolves in tandem with R, thereby ensuring the Universe’s homogeneity at all times—this constitutes an alternative to the inflationary theory. For moderate distances, we recover Hubble’s law. Additionally, a new formula—distance = f(z)—is derived; it closely resembles the classical formula for moderate redshift values.