Tag Info

New answers tagged

1

Kip Thorne addresses this in his book The Science of Instellar. The fifth dimension is a fourth spatial dimension i.e. in Interstellar the universe has four dimensions of space and one time dimension. This is unrelated to the idea of the block universe. As you'd expect given Kip Thorne's background, there is theoretical support for a fifth dimension, and ...


2

In a nutshell, the $1+1=2$ extra dimensions of spacetime can (in an appropriate gauge) be viewed as a longitudinal spatial direction and a temporal direction. This makes sense because of Minkowski signature of spacetime. The point is that the physical modes of the string can be identified with the 24 (8) transversal directions of the critical bosonic ...


1

Naively, a hypersphere. But it all depends on how you actually generalize the concept of a circle to higher dimensions. For cube, a dimension-independent definition would be $|x_i|<a$ if $x_i$ are components of a $n$-vector in an orthogonal coordinate frame. For a hyperoctahedron, it would be $\sum |x_i|<a$. And for a hyperball, $|\vec{x}|<R$ ...


1

The term you are looking for is either "hypersphere" or "n-sphere". Pictures and mathematical description on the wiki site


4

No. There are various ways we could prove that extra dimensions exist: observe Kaluza Klein excitations observe microscopic black holes observe deviations from the inverse square law of gravity at very short scales find proof for string theory Option 1 would be the most likely option. If there are compact extra dimensions then particle wavefunctions can ...


0

I think dimension means the number of independent coordinates required for describing or specifying the position and configuration in space of a dynamical system. As example when we consider the Minkowski's four-dimension world we consider the position coordinate is homogeneous to time coordinate. So an event is represented by $(x,y,z,\tau) $ where ...


7

To start with in physics we do not prove basic concepts. Theoretical models are mathematical constructs which, together with the postulates of the theory, fit data and predict new behaviors. Physics theories can only be falsified, or validated by experimental results. Not prove, because they are not pure mathematics with QED attached in proving theorems . To ...



Top 50 recent answers are included