The three types of infinite motion in the universe

[awaterpon]

These are the three types of infinite motion in the universe of an object where this object travels infinite distance in infinite time.

1) An object moves in straight line this object will travel infinite distance in infinite time if we suppose that the object will not find some obstacle and the universe is infinite.

2) An object moves endlessly in a circle,  the object will travel infinite distance which is a portion of the circumference, if the object completed  two cycles the distance is the double the circumference.

3) An object starts from zero meters  and moves for instance toward 6  meters , if the deceleration increases infinitely opposing the object motion the distance traveled will increase without  bound but never reach the 6 meters distance.This idea is also represented in the special  theory of relatively in which a mass at motion increases in the speed but never reach the speed of light 3*10^8 m/s because the object's mass increases infinitely and the deceleration increases infinitely.

In all these cases the distance traveled for a mass  increases without bound and this what I mean by an infinite motion. The motion continuous non-stop
These are the only cases of a moving object that travels infinite distance and elapsing  infinite time non-stop

Edited March 7, 2022 by awaterpon

[swansont]

4 hours ago, awaterpon said:

3) An object starts from zero meters  and moves for instance toward 6  meters , if the deceleration increases infinitely opposing the object motion the distance traveled will increase without  bound but never reach the 6 meters distance.This idea is also represented in the special  theory of relatively in which a mass at motion increases in the speed but never reach the speed of light 3*10^8 m/s because the object's mass increases infinitely and the deceleration increases infinitely.

In all these cases the distance traveled for a mass  increases without bound and this what I mean by an infinite motion. The motion continuous non-stop
These are the only cases of a moving object that travels infinite distance and elapsing  infinite time non-stop

For case 3 the mass travels less than 6 meters. Last I checked that was finite, and bounded.

[joigus]

5 hours ago, awaterpon said:

These are the three types of infinite motion in the universe of an object where this object travels infinite distance in infinite time.

Infinite in time --although an idealisation-- is OK.

"Infinite in space" requires some clarification:

1) Infinite in both the region of space the particle is restricted to move, and the proper length parameter (usually called s)

2) Finite in space (region where your particle is restricted to move) but infinite in the proper length parameter even though the particle may cover a trajectory over and over again (periodic motion)

Your 2nd case corresponds to my 2nd case.

In your 3rd case, the motion is finite in space and in the proper length parameter, but infinite in time in the mathematical ideal case.

A good example is a particle moving in a viscous fluid. In the ideal case, the particle velocity is a decreasing exponential, and it would ideally take infinite time for the particle to stop. What one does in a practical case is to set up a time T such that the ratio between the particle velocity at time T and the limit velocity has gone down to a level that you would consider that it has effectively come to a halt. Say,

\[ \frac{v\left(T\right)}{v\left(\infty\right)}<.99 \]

where \( v\left(\infty\right) \) is the limit velocity.

So, as @swansont said, the 3rd case is finite in space. It's also finite in time for all practical purposes. And in the real case too, as the velocity is well below the level of statistical fluctuations at some point.

 

[awaterpon]

Finite motion is when a mass moves from zero to reach a distance x meters in y seconds, when the object reaches this distance it will stop and while it is at stationary time elapses and it means the mass stopped at a time but did not continue any further meters while time passes . In contrary with the infinite motion time elapses while the mass is always moving
For an object to be at motion the distance it travels is always bigger than the previous distance In the three cases the distance increases without bound :
1) 1,2,3......
2) quarter of the circumference in meters, half, the circumference, double the circumference in meters,......
3) 0.9,1,2,3,3.9999......,always less than 6 meters but infinite numbers
While the numbers are infinite the object will move non-stop and will be always at motion this means infinite motion.
The distance traveled is always bigger than the previous distance this means the object is always at motion whether it moves in a circle or boundary of 0 to 6" case 3 " and while the numbers between 0 to 6 are infinite " case 3" the motion will be infinite. 
I can say the three cases are motion within a boundary , motion  in a circle and motion  in an open space.

Edited March 7, 2022 by awaterpon

[swansont]

1 hour ago, awaterpon said:

3) 0.9,1,2,3,3.9999......,always less than 6 meters but infinite numbers
While the numbers are infinite the object will move non-stop and will be always at motion this means infinite motion.
The distance traveled is always bigger than the previous distance this means the object is always at motion whether it moves in a circle or boundary of 0 to 6" case 3 " and while the numbers between 0 to 6 are infinite " case 3" the motion will be infinite. 
I can say the three cases are motion within a boundary , motion  in a circle and motion  in an open space.

The object is always in motion, and the distance is always increasing, but to say "the distance  increases without bound" is incorrect. The distance never exceeds 6. It is clearly bound.

At best this is just sloppy use of terminology.

edit: or, it's recycled crap.