Suppose there is an extra compact dimension, and suppose

  • Thread starter Spinnor
  • Start date

Spinnor

Gold Member
2,042
242
Suppose there is an extra compact spacial dimension in addition to familiar space dimensions x, y, and z. Let us suppose that matter is some kind of 3 dimensional surface moving in these 4 spacial dimensions, 4-space, in some cyclical manner. Let us suppose that from the shape of the surface we can get physics. Assume as an observer we ourselves are some complicated 3 dimensional surface in 4-space. Now as observers we only notice the dimensions x, y, and z. At a given instant matter is "distributed" about in 4-space so that in 3-space at a given instant matter is but a 2 dimensional surface in 3-space. Matter is nowhere and in time everywhere.

Thanks for any thoughts or help making this more interesting.
 

TeethWhitener

Science Advisor
Gold Member
1,288
681
Kaluza-Klein theory:
It was originally formulated as a way to geometrically unify electromagnetism with gravity. Solving the Einstein field equations in 4+1 dimensions (where one of the spatial dimensions is periodic) gives the 10 original EFEs for 3+1 dimensions along with Maxwell’s equations. There’s also an extra scalar equation that predicts the existence of a hypothetical particle called the dilaton which has never been observed. KK theory has fallen somewhat out of favor because it only treats fermions in an ad hoc manner, but it is an important jumping off point for many modern beyond-Standard-Model theories that incorporate dimensional compactification.
 

Want to reply to this thread?

"Suppose there is an extra compact dimension, and suppose" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top