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-1 votes
1 answer
54 views

What happens if we differentiate spacetime with respect to time? [closed]

Essentially, what would differentiating space-time with respect to time provide us with? What are the constraints associated with such operations? Is it possible to obtain a useful physical quantity ...
Kimaya Deshpande's user avatar
0 votes
0 answers
38 views

How many dimensions are in string theory? [duplicate]

How many dimensions are in string theroy? I heard that there are 11 but to my understanding, there is an infinite, also can strings be on a 2D plane?
Lucas Dewan's user avatar
0 votes
2 answers
58 views

How small can we measure space? [closed]

I got this question after looking into transcendental numbers and I noticed how there are some distinctions that should be made from numbers and reality especially in measurement of length for example ...
How why e's user avatar
  • 101
2 votes
1 answer
718 views

How many null directions are there?

The metric signature of spacetime is usually given as ($3,1$), but spaces can also be ($3,n,1$). Null surfaces include photons and event horizons, which exist, so is $n$ actually $ > 1$ in the ...
Miss Understands's user avatar
3 votes
1 answer
122 views

What is the problem with two time dimensions? [duplicate]

I am reading a book "General relativity: The theoretical minimum" by Leonard Suskind. In page 168-169, the author explains the reason why we don't consider the case with two time dimensions ...
Zjjorsia's user avatar
  • 311
0 votes
0 answers
32 views

Still having trouble understanding gravitational lensing [duplicate]

The normal diagram used to explain gravitational lensing shows a two-dimensional plane that is deflected by a heavy weight. This is a two dimensional description that requires an extra dimension to ...
Michael Mcgarry's user avatar
-2 votes
1 answer
58 views

Do we live in a 4-dimensional space, i.e. a 5-dimensional spacetime? [duplicate]

As far as we know: If two one-dimensional lines are placed parallel, they need to be on a two-dimensional plane. If two 2-dimensional planes are placed parallel, they need to be in a 3-dimensional ...
Chill dude on Earth's user avatar
1 vote
0 answers
74 views

Why can't the metric have more than one timelike coordinate? [duplicate]

In one of his lectures, L Susskind stated that he cannot make sense of a metric with more than one timelike dimension. I also have trouble imagining it, but is there a good mathematical or physical ...
Pato Galmarini's user avatar
0 votes
1 answer
106 views

Another dimensions [closed]

Just a science ponderer, and pretty much interested in physics. Please guide me if I am wrong. There have been many statements made by the physicists about the existence of other dimensions (...
Suchit Mehta's user avatar
1 vote
0 answers
54 views

Are branes topological defects? How else could they be physical?

As far as I understand, the branes of brane cosmology are lower-dimensional "sub-manifolds" of some space. It was hard to imagine for me how such structure could exist and be physical. But ...
M. Winter's user avatar
  • 531
1 vote
0 answers
82 views

Could the universe be a topological defect in a higher space?

I am a mathematician with an undergrad understanding of physics. I recently learned of topological defects in quantum fields. It is an intriguing idea that there could be regions in our universe that, ...
M. Winter's user avatar
  • 531
9 votes
3 answers
6k views

Why is Spacetime described as flat even though we live in 3 dimensions of space?

I’ve always heard and seen diagrams that show spacetime as being “flat” or in 2 dimensions with curvature. How does this correspond to the 3 spacial dimensions that we perceive to exist in?
Jude Kratzer's user avatar
1 vote
1 answer
145 views

In relativity, is the fourth spacetime dimension spatial or nonspatial?

In "An Introduction to Modern Astrophysics" Carroll and Ostlie describe the curvature of space by mass as: curving in a fourth spatial dimension perpendicular to the usual three of "...
Glycoversi's user avatar
0 votes
1 answer
120 views

Dimensionality problem in special relativity

Suppose $A$ is a null $4$-vector in Minkowski space-time, $M$. Then the vector space spanned by $A$: $\operatorname{span}(A)$ is unidimensional. The orthogonal complement of this vector space $\...
Damian's user avatar
  • 51
0 votes
2 answers
148 views

Dimension of a vector space of all tensors of rank $(k,l)$ in 4D

Dual vector space is the set of all linear functionals defined on a given vector space. The vector space and dual vector space is isomorphic and hence have the same dimension. A rank $(k,l)$ tensor is ...
Grace's user avatar
  • 310

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