Central universal force field to explain solar orbital radial acceleration and other universal phenomena

Conformal Gravity and the Radial Acceleration Relation

During the 2016 International Workshop on Astronomy and Relativistic Astrophysics (IWARA), the question was raised as to if conformal gravity could explain the timely result of McGaugh et. al. 2016 which showed a universal nature found in the centripetal accelerations of spiral galaxies. At the time of the conference, the McGaugh result was only published for two weeks. Since then, the result has become known as the Radial Acceleration Relation (RAR) and has been considered tantamount to a natural law. In this work, we summarize how conformal gravity can explain the Radial Acceleration Rule in…

Dark Matter-Baryonic Matter Radial Acceleration Relationship in Conservation Group Geometry

Pandres has developed a theory which extends the geometrical structure of a real four-dimensional space-time via a field of orthonormal tetrads with an enlarged covariance group. This new group, called the conservation group, contains the group of diffeomorphisms as a proper subgroup and we hypothesize that it is the foundational group for quantum geometry. Using the curvature vector, $C_μ$, we find a free-field Lagrangian density $C^μC_μ\sqrt{-g}\,$. When massive objects are present a source term is added to this Lagrangian density. Spherically symmetric solutions for both the free field and …

On Five Independent Phenomena Sharing a Common Cause

Over the past century a succession of five different independent astronomical phenomena have been discovered, each appearing to be the result of a common underlying cause that also produces an unaccounted-for acceleration that is: quite small, centrally directed in the system exhibiting each phenomenon, non-gravitational, distance independent, and apparently of a common magnitude. The present paper analyzes the phenomena and proposes the underlying common cause, a common solution to the problem that they present. Four of the phenomena, in the order of their discovery are: 1 - In 1933, the indi…

径向加速度关系的加速度尺度是否追踪宇宙膨胀速率？

Is the acceleration scale of the radial acceleration relation tracking the cosmic expansion rate?

该研究检验MUSE-DARK巡天中径向加速度关系尺度随红移的演化，发现其与哈勃膨胀率一致，而非红移无关或物质密度标度，并确认$a_0\sim cH_0$的巧合在中介红移处成立。

Quantum potential and wave packet spreading

The effects of the de Broglie-Bohm quantum potential on a test particle of mass $m$ are investigated in a conformally-flat geometry. A real, nonlinear, scalar field $Ψ$ is introduced and related directly to the conformal factor and to the effective mass $M(r,t)$ of the particle. The radial acceleration of a static observer in the conformally-flat metric is negative (the field is repulsive), and the corresponding proper acceleration resembles that one of the "peak radius" where the radial probability density has a global maximum during the wave packet spreading phenomenon. The timelike radial g…

Thomas Precession by Uniform Acceleration

We determine the nonlinear transformations between coordinate systems which are mutually in a constant symmetrical accelerated motion. The maximal acceleration limit follows from the kinematical origin and it is an analogue of the maximal velocity in special relativity. We derive the dependence of mass, length, time, Doppler effect, Cherenkov effect and transition radiation angle on acceleration as an analogue phenomena in special theory of relativity. The last application of our method is the Thomas precession by uniform acceleration with the possible role in the modern physics and cosmology.…