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The Donut Universe (by Robby Gurdan)

Russian version
What is time?


The easiest way of explaining time would be in our model to assume that the expansion of the radius of the torus skin equals time, which is not the whole truth as we will see later...
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According to this we are able to look back into past from every point of our surface along this time axis when we meet a lightbeam.
Because we know about the exact speed of light, and that it is obvious that light travels from the past to the future as everything, we can define any point of the timeaxis of our torus like a calendar or a diary of the past.

If we now reassume that our torus or sandpaper in the model consists out of some fancy particles we assume furthermore that it might have a certain grainity forming a gigantic mesh.



So according to this theory any mass should cause a fault of time bending the torus skin to the future.
In other words travelling from space to earth would be a travel to the future.
And again there is a funny phenomenon encountered some decades ago. Two precise clocks one installed in space and one on earth start to differ in time immediately. Comparing both after a while shows that time on earth seems to pass faster than in space. This happens, because the torus expands in time as it does in size and all its projections do as well. Assuming that the expansion in time is constant, and the number of mesh particles stay the same, the mass would grow in size as well causing a constant increase of the “timefault” imposed by the mass, that we would recognize as a growing timedifference.

To put it all in a nutshell, mass seems to be proved to have an influence on time, and this model can explain it.

It can also explain the funny phenomenon Einstein encountered while he was thinking about travelling with relativistic speed (more than 10% of the speed of light)…

Einstein postulated that mass and energy ( e=mc² as we have heared before) but also space and time are equal. Maybe even something like two aspects of the same thing.

To illustrate this, look at the extension of Pythagorean theorem for the distance, d, between two points in space:

d^2 = x^2 + y^2 + z^2

x, y and z = the lengths, or more correctly the difference in the co-ordinates, in each of the three spatial directions. (This distance remains constant for fixed displacements of the origin.)

Einstein altered the same equation to remain constant with respect to displacement (and rotation), but not with respect to motion. For a moving object, at least one of the lengths from which the distance, d, is calculated is contracted relative to a stationary observer.

The equation now becomes:

d^2 = x^2 + y^2 + z^2 (1-v^2/c^2)^1/2

The formula shows that the distances shrink as one moves faster.
We will dive more and more into time condensing the “room vector” more and more (as seen on the bycicledriver below) and so in fact for us the room-vector (what we have thought of being the distance before) becomes smaller!
Of course a distance can not be different for two observers so if the room changes, the time has to change too!
Einstein now uses the new "Spacetime" s to prove that distances ARE remaining in fact constant, for all who are in relative motion.

s^2 = x^2 + y^2 + z^2 - ct^2

This distance is said to be a Lorentz transformation invariant and has the same value for all inertial observers. The real distance though is the combination of time and space as we have prooved above! Since the equation mixes time and space up we have to always think in terms of this new concept: space-time!



Estimate a bicycle driver in a round elastic looping.
Up to a certain speed he will be able to drive in a normal way around the looping (1% s.o.l.) [s.o.l = speed of light]
Then, if he constantly increases his speed there comes a point, where the looping will start to deform, forming a little time-hollow under his wheels (remember time is the vector describing the expansion of the torus!) . The faster he goes the deeper the hollow. After some time he will come to a point where increasing speed will only increase the depth of the hollow but not increase rotation speed (100% s.o.l.).
Projecting the picture to the torus model the effect on the torus will be the same that a bigger mass would have. So according to Einstein we would encounter an increase of mass or something that looks like it. Additionally, because the hollow forms out in the time axis, our bicycle driver seems to move more faster through time, the more faster he goes which again is a phenomenon that Einstein described and which is visible, when one is travelling with relativistic speed bigger then 10% s.o.l.

So it seems that there is no way to go as fast as light in the first place.
But maybe there is one:

 

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