Can Objects Move with Complex, Infinity Velocities?

[madah12]

I know some people might think this topic is stupid but I am asking about it anyway.
Can any object real or theoretical move with a function x(t) where:
1_ x'(t) is undefined at all points
2_ x'(t) is an indeterminate form at one point
3_ x'(t) is defined at some points but undefined in others
4_ x'(t) have range of complex numbers
5_x'(t) approaches infinity
So can theoretical objects move with theoretical motion with such crazy velocities exists? if the velocity is infinity will an object exist in two places at the same time? can any real astronomic object move with such velocities because of effects of wormholes or black holes? Is it physically impossible within any universe for such motions to exist. If it isn't physically impossible is there a mathematical way to describe such motions?
I know I am asking about stupid stuff but it is just for curiosity.
Thanks for replying.

 

[0xDEADBEEF]

The velocity is a smooth function F.A.P.P. (for all practical purposes) The mentioned artifacts can exist in limiting cases of physical toy models. They are not physical reality and never will be. Nature doesn't like divergences.
There are mathematical ways to describe such functions, but for these you need a deeper understanding of the types of derivatives that exist and the theory of measures.

 

[Awatarn]

I try to answer your questions:

I know some people might think this topic is stupid but I am asking about it anyway.
Can any object real or theoretical move with a function x(t) where:
1_ x'(t) is undefined at all points
Yes, it can. Eg. Brownian motion,

2_ x'(t) is an indeterminate form at one point
It cannot. Physics is not mathematics

3_ x'(t) is defined at some points but undefined in others
May be.

4_ x'(t) have range of complex numbers
Speed of the object is always real.

5_x'(t) approaches infinity
No, the speed limit of any object is c. It cannot be infinity.

So can theoretical objects move with theoretical motion with such crazy velocities exists? if the velocity is infinity will an object exist in two places at the same time? can any real astronomic object move with such velocities because of effects of wormholes or black holes? Is it physically impossible within any universe for such motions to exist. If it isn't physically impossible is there a mathematical way to describe such motions?
I know I am asking about stupid stuff but it is just for curiosity.
Thanks for replying.

 

[madah12]

What about if x'(t) is not continuous?

 

[PJC01]

I cannot say whether this topic is "stupid" or not. In fact, it is important to explore and question all possibilities, even if they seem unconventional or impossible at first glance. That being said, let me address your questions and provide some scientific perspective on this topic.

Firstly, let's define what we mean by "complex, infinity velocities." In physics, velocity is defined as the rate of change of an object's position with respect to time. It is a vector quantity, meaning it has both magnitude and direction. In the context of your question, it seems that you are referring to velocities that have an undefined or infinite magnitude, which would make them impossible to measure or comprehend.

Now, to answer your question, no, objects cannot move with complex, infinity velocities. This is because such velocities violate the laws of physics, specifically the laws of motion and relativity. In order for an object to have an infinite velocity, it would have to cover an infinite distance in a finite amount of time, which is physically impossible. Additionally, objects cannot exist in two places at the same time, as this also goes against the laws of physics.

It is important to note that the concept of infinity is a mathematical concept, and it does not necessarily translate to the physical world. While we can use mathematical models and equations to describe and understand the behavior of objects, these models must still follow the laws of physics.

As for your question about whether such velocities exist in theoretical or real astronomical objects due to the effects of wormholes or black holes, the answer is no. While these objects can have incredibly high velocities, they are still bound by the laws of physics and cannot have infinite velocities.

In summary, while it may be interesting to imagine objects with complex, infinity velocities, they do not exist in the physical world and are not possible according to our current understanding of physics. However, as science and technology continue to advance, who knows what new discoveries and possibilities may arise in the future. Keep asking questions and exploring the unknown, but always remember to ground your ideas in scientific principles and evidence.