**Date Published:**

December 16, 2014

**Keywords:**

accelerating universe, space-time concept, universal space-time, receding movement, positive and negative space-time

**Abstract:**

It is an important question in cosmology to find how the universe is expanding acceleratory. The key to answer this question is to provide a new exact and philosophical definition for the concept of space-time. And based in this definition, using geometrical logic and primary mathematical tools, the movement concept in general, and the accelerating universe specifically, are described. In view of traditional philosophy, every unique concept has two aspects of existence and essence; space-time is defined as a unique concept, in which space is considered as essence and time is considered as existence. The value of this concept can be positive (ordinary space-time) or negative (mass and energy). This value can be expressed either via the unit of time which is second (T) or via the unit of space which is meter (X). They can change into each other via the constant of c, it means that for every second of time as the existence, we will have c meter of space as the essence.
From a geometrical point of view, the quantity of every point of space-time is determined based on its distance from the initial point of space-time. When initial point is an absolute point (starting point of space time or big bang), the quantity which is obtained is universal and if we consider it as an adjacent point, the quantity which is obtained is regional. Therefore, different points which have different distances from the initial point will have different values.

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