If there was a region of space-time shaped like a Mobius Strip

In summary, the spin of a particle on a Moebius strip would be measured the same by any set of observers, but the direction of the spin would change if the particle traveled far enough along the strip. This is due to the axial nature of spin and the change in space orientation on the strip. However, our understanding of the Universe suggests that we do not live on a Moebius strip.
  • #1
Edward Solomo
72
1
Would the spin of a particle be measured the same by any set of observers upon that strip?

Would an observer experience a reversal of spin if the particle traveled far enough along the strip?
 
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  • #2
Edward Solomo said:
Would the spin of a particle be measured the same by any set of observers upon that strip?
Yes, if you correctly defined "the same". Spin is an axial vector. It will change coordinates when you roll upside down.

Would an observer experience a reversal of spin if the particle traveled far enough along the strip?
Yes, spin as an axial vector will change direction when you change the space orientation, which happens on the 3d equivalent of the Moebius strip.

If we lived on a Moebius strip, it would also mean that left-chiral particles can change into right-chiral. If we also assume that the Universe is homogenous, then there should be no assymetry between left-handed and right-handed particles, which is not the case. Thus, we don't live on a Moebius strip under most common assumptions.
 

1. What is a Mobius Strip?

A Mobius Strip is a surface with only one side and one boundary. It is created by taking a strip of paper, giving it a half-twist, and then connecting the ends to form a loop.

2. How is a Mobius Strip related to space-time?

A region of space-time shaped like a Mobius Strip would have a similar one-sided, boundary-less structure. This means that there would be no distinct separation between past, present, and future, and the region would loop back onto itself.

3. Is it possible for a region of space-time to actually be a Mobius Strip?

Currently, there is no evidence or theory that suggests that a region of space-time could exist in the shape of a Mobius Strip. It is purely a hypothetical concept that is often explored in science fiction and theoretical physics.

4. What would be the implications of a Mobius Strip-shaped region of space-time?

If such a region did exist, it would challenge our understanding of the fundamental laws of physics and the nature of time. It could potentially have effects on causality and the flow of time, leading to unexpected and bizarre phenomena.

5. How does the concept of a Mobius Strip in space-time tie into the concept of a multiverse?

If the multiverse theory is true, then it is possible that there could be multiple universes existing within a Mobius Strip-shaped region of space-time. This would add an additional layer of complexity and mystery to the already enigmatic concept of a Mobius Strip in space-time.

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