Gravity and the Absoluteness of Time: a Simple Qualitative Model

Abstract

In this paper, we qualitatively examine the compatibility between gravity and the absoluteness of time. Initially, time is supposed as being absolute. However, this assumption does not imply that instruments and devices, finalized to measure time, are not influenced by gravity. On the contrary, we admit that whatever phenomenon, including the ones that occur when we measure time, shows clear traces of the influence of gravity. Nonetheless, the alleged time dilation, that seems to occur when we approach a gravitational source, could actually be illusory. In this paper, in fact, we contemplate the possibility that the above-mentioned phenomenon could be exclusively related to the contraction of the orbits induced by the mass that produces the gravitational field. We start from postulating a Universe, belonging to the oscillatory class, characterized by at least a further spatial dimension. At the beginning, the Universe in its entirety is assimilated to a four-dimensional ball, and matter is considered as being evenly spread. Once hypothesized that all the available mass may be concentrated in a single point, taking advantage of an opportune parameterization, pretending that the orbits don't undergo any modification whatsoever and admitting, as a consequence, that time starts slowing down when we move towards the singularity, we can easily obtain, far from the source, a Schwarzschild solution for the vacuum field, without using General Relativity.

A Short Discussion on the Gravitational Redshift in the Light of an Alleged Local Variability of the Planck Constant

“…In a previous paper [26], we proposed a simple qualitative model, finalized to describe, without using General Relativity, how mass warps space. Amongst other things, the model in question is characterized by two fundamental hypotheses: the absoluteness of time and the constancy of the proper radius.…”

On the Schwarzschild Solution: a Review

“…We hypothesize that the singularity does not influence the measured distance (the proper radius): in other terms, if the angular distance between whatever couple of points does not undergo any variation, the corresponding measured distance remains the same [6]. In order to satisfy this condition, the radial coordinate (the segment bordered by C and Pg in Figure 2) must abide by the following relation:…”

“…According to our model [6], once again, the proper radius remains the same, notwithstanding the singularity: on the contrary, the predicted radius, as well as the corresponding great circumference, undergoes a contraction [6] [7].…”

“…In order to recover the Schwarzschild solution, we have to carry out a parameterization [6]. On this purpose, we need to find two new coordinates, denoted by R*(χ) and r*(χ), that may satisfy the following relations:…”

“…All the points are replaced by straight line segments: in other terms, what we perceive as being a point is actually a straight-line segment crossing the centre of the 4-ball. [4] At the beginning (no singularity), we hypothesize that the Universe, whose radius equates the Schwarzschild Radius, is homogeneously filled with matter [6].…”