relativity and chaos

This idea came to me this weekend. I was trying to figure out how statistics fits into Einstein's claim that the laws of physics are the same in all reference. If we have time dilation within a moving reference, does that mean that the frequency of chaos will get less relative to a stationary...

Well, yes, that sounds pretty close to one modern definition.

The word Chaos actually comes to us from ancient greek mythology.

CHAOS : The deity from Greek Mythology

However in modern times, the word Chaos has come to have different meanings.

Here are some modern definitions:

cha·os (ks)
n.
1. A condition or place of great disorder or confusion.
2. A disorderly mass; a jumble: The desk was a chaos of papers and unopened letters.
3. often Chaos The disordered state of unformed matter and infinite space supposed in some cosmogonic views to have existed before the ordered universe.
4. Mathematics: A dynamical system that has a sensitive dependence on its initial conditions.

Chaos Theory is a theory in mathematics (see definition #4).

So I was using the mathetical definition, and saying that "A dynamical system that has a sensitive dependence on it's initial conditions" would still be "A dynamical system that has a sensitive dependence on it's initial conditions", in all frames of reference.

Wikipedia: "Mathematically, chaos means an aperiodic deterministic behavior which is very sensitive to its initial conditions, i.e., infinitesimal perturbations of initial conditions for a chaotic dynamical system lead to large variations of the orbit in the phase space.

Chaotic systems are systems that look random but aren't. They are actually deterministic systems (predictable if you have enough information) governed by physical laws, that are very difficult to predict accurately (a commonly used example is weather forecasting)."

That 'predictable if you have enough information' cautions us to conclude that chaos may actually exist only in the eye of the beholder - as might've been mentioned earlier in this thread.

Hydrogen,

Does it not have Something to do with Wave Function Probability ....
Is this Chaos ......
I wouldnt Imagine Light Standing Alone in a constent steam wouldnt display much chaos but with potential interaction there comes added variables to rationalise.

If a system Dosnt move when in Zero Time ... No Change = No Chaos.

Its the potential interaction and possible Changes that make Chaos potentially.

Chaos is just like an irrational number like PI .. that cant be resolved with rational number Abstractly.

.. ... A paradox occurs with the Abstract thought if ... You create a system that displays pure random .... Absolute chaos .... some chaotic systems harbour points of similarity in predictable steps ....
Remove all possibility of Similarity so you could not grasp anything with in the system : IE WHAT IS THE MOST CHAOTIC SEQUENCE WITH 0123456789

0246813579 <- The obvious rearranged sequence here is all even first and then odd 'hardly chaotic' .. So if you synthetically rearanged the sequence again to be as Chaotic as possibe it wouldnt be Chaos anymore it would become ordered chaos .. TOO CHAOTIC IT BECOMES ORDER (becuase it would become perfect chaos)... Strange Extreme.

Non linear systems i believe harbour the maintanence of Evolutionary Fluidity but thats another story.

At the Speed of light with contraction Chaotic Potential must be Preserved ... Maybe there is no such thing as a non linear chaotic system to god .. he would understand the entire picture where we see confusion.

Light and speed of light create an interesting paradox. At the speed of light, with time totally dilated, there is no time for chaos. There is also no time for finite change. The question is, how can light red shift or do any of the other tricks we can make it do in the lab? It is not behaving like something that is moving at C, yet we know it is.

simple, the fact that light has a speed, it's commonly known. so, what happens when you reach that speed? simple, the object in question becomes the width of the the universe and then in turn, it can go ANYWHERE, ANYWHEN. because of space-time. time is relative to space as space is relative to time. if anyone could reach that speed s/he would be transfered to another dimension instead of returning to this one,. think of light speed as a "bridge" between demensions since the space between dimensions is pure chaos, achieving the speed of light is impossible. this is my theory. the chaos void would not permit anything to be stable enough. also, no matter from any other plane or dimension can be transfered to another plane or dimension.

There is no paradox. The frequency shift we observe is not due to any event that is occuring in the light itself, it is due to the frequency of the light being stretched by the expansion of the space-time the light is travelling through.

No, the object in question will never reach the speed of light. As the object aproaches the speed it light it's mass approaches infinity. It would take an infinite amount of force to accelerate the object to the speed of light, that is why it is considered impossible according to relativity.

Is this just speculation, or do you have anything more convincing to offer in support of this theory?

Einstiens space/time ... If space was warped like a mountain range ... The light must travel down the slopes and eventually get to us .... but it wants to travel straight to us like a bird over the ridges but it has to take the road .. the slopes .
The photon always wants the as the crow flies analogy but cant and this force causes the red shift becuase it is moving away and it wants to travel from one mountain top to us like the bird but takes the jaggered warped mountain path...

Simarlerly when it is moving toward us its also slightly moving as the crow flies aswell as traversing down the mountain towards us .... going in the same direction makes it blue shifted!

So with a Black hole it travels all the way down the mountain ...deep down the valley untill it reaches a point where its want to go as the crow flies is the same as its warp/space path and it freezes in the Black hole Event horizon.

Wow! OK - That's it! I'm out......Bye.

Chads, I'm afraid your understanding of Einsteins theory is in need of serious review.

General relativity - Wikipedia, the free encyclopedia