Note that the graph below (repetition) does visualize what's going on, but **it is not valid according to western standards**. Graph of space and time

**Mathematically, you can not put acceleration as a point in a chart, like in the upper part of the graph**, unless you contrast measured speed with time.

But that is not entirely accurate either, because speed already has a component time; after all, speed is defined as "distance / elapsed time", so the concept of "measured speed" has become dependent on the interval chosen for measuring, and thus it can only be an approximation (mathematically the limit of a function).

For temporal reference, the bottom part of the graph, a similar story applies.

Replacing "acceleration of time" with "measured elapsed time" in this case, will result in a mirrored graph, but rotated by 90 degrees, so perpendicular to the top one. This, however, will prove not to be a problem because, as will be shown later, the temporal and spacial references are more or less squared. I will get back to it later.

The above implies that:

a) in the upper part of the graph (spacial reference), the acceleration of a (celestial) body can not be put alongside time, because it has no different acceleration at time T than at time T'.

b) in the lower part of the graph (temporal reference), the acceleration of time of a (celestial) body can not be put alongside space, because its time at a location L has no different acceleration than at location L'.

**Both (a) and (b), resemble the Arrow paradox of Zeno.**

Note: 28 Zeno of Elea (ca 490 - 430 BC) is considered to be the founder of dialectics.

"In the arrow paradox (also known as the fletcher's paradox), Zeno states that for motion to occur, an object must change the position which it occupies. He gives an example of an arrow in flight. He states that in any one (duration-less) instant of time, the arrow is neither moving to where it is, nor to where it is not. It cannot move to where it is not, because no time elapses for it to move there; it cannot move to where it is, because it is already there. In other words, at every instant of time there is no motion occurring. If everything is motionless at every instant, and time is entirely composed of instants, then motion is impossible".(EN Wikipedia)

Continue to: 4.3.1. Solving the paradox the western way