
#1
Aug804, 05:49 PM

P: 71

Is it possible for time to be a "Mobius dimension," with its nonlinear topology and simultaneous oneway linear direction, as described by relativity theory?




#2
Aug804, 07:39 PM

Emeritus
PF Gold
P: 8,147

What do you mean by Mobius dimension? Is it a reference to Mobius coordinates?




#3
Aug804, 11:07 PM

Sci Advisor
P: 1,664

I imagine some mathematician has probably solved the field equatiosn for a metric using Mobius coordinates. AFAIR I don't think it was interesting though, as it doesn't seem to have relevance to the real world.
I thought about that a bit as an undergrad, kinda in the 'wouldn't this be cool'. 



#4
Aug904, 09:20 AM

P: 71

Time  Mobius Dimension?1. Nonlinear topology 2. Oneway linear direction due to only one "side" Now time based on relativity: 1. Nonlinear topology due to timespace curvature 2. Oneway linear direction due to entropy Is it possible that time is a "Mobius dimension"? 



#5
Aug904, 09:23 AM

P: 71





#6
Aug904, 03:33 PM

Emeritus
PF Gold
P: 8,147

Time in relativity does not resemble a mobius strip at all. The mobius strip is a compact manifold  basically that means it's finite so every infinite point set on it converges. But time in Minkowski space in linear, and contains nonconverging point sets. As for the twist, the relationship of time to space in relativity is different than a mobius twist. 



#7
Aug904, 04:29 PM

P: 71

Time grows linearly right now. Did it always grow linearly? What about during the Big Bang? Could it be possible that time expanded faster (the opposite of time dilation) at the time of explosive spatial growth if time is intricately connected to space in an inseparable continuum?
Take Einstein’s (Temporal) Relativity Theory: The faster something is moving, the "slower" time is moving for it. So if space is expanding explosively, is time growing because it is in a continuum with space or is it dilated because space is moving so quickly? 



#8
Aug904, 10:32 PM

Emeritus
PF Gold
P: 8,147

It is these facts, and not mobius twists, that you should strive to learn about relativity. 



#9
Aug904, 10:44 PM

Emeritus
Sci Advisor
PF Gold
P: 10,424

Also, please try to learn some mathematics while you're at it. The phrases "nonlinear topology" and "oneway linear" are meaningless. The Mobius strip is a compact, nonorientable manifold. That's really all that one can say about it.
Off to Theory Development this one goes...  Warren 


Register to reply 
Related Discussions  
Time in different dimension  Special & General Relativity  3  
Theory Underlying SR: The Time Dimension is Moving Relative to The Spatial Dimension  General Physics  35  
Time is not the 4th dimension  Special & General Relativity  7  
Time is not the 4th dimension  General Physics  44 