Q: Are dimensions used to describe string theory? ¶
A: Yes, and eleven dimensions can describe supergravity and M-theory, and the state-space of quantum mechanics is an infinite-dimensional function space.
Q: Is dimension one way to measure physical change? ¶
A: Yes.
Q: Is dimension also the dimension of the tangent vector space at any point? ¶
A: Yes.
Q: Are dimensions trivial? ¶
A: Yes, and it reproduces electromagnetism.
Q: Is dimension finite if and only if the space's Hamel dimension is finite? ¶
A: Yes, and in this case the two dimensions coincide.
Q: Are dimensions based on the proposition that not more than three lines can intersect at right angles in one point? ¶
A: Yes.
Q: Is dimension Poincaré and Einstein's special relativity? ¶
A: Yes, and which treats perceived space and time as components of a four-dimensional manifold, known as spacetime, and in the special, flat case as Minkowski space.
Q: Is dimension the maximum of the dimensions of its components? ¶
A: Yes.
Q: Is dimension defined for all metric spaces and? ¶
A: Yes, and unlike the dimensions considered above, can also have non-integer real values.
Q: Were dimensions also a key component of the book The Boy Who Reversed Himself by William Sleator? ¶
A: Yes.
Q: Are dimensions set by particle experiments such as those at the Large Hadron Collider? ¶
A: Yes.
Q: Is dimension not restricted to physical objects? ¶
A: Yes.
Q: Are dimensions incorporated into many early science fiction stories, appearing prominently, for example, in Miles J? ¶
A: Yes, Breuer's The Appendix and the Spectacles and Murray Leinster's The Fifth-Dimension Catapult; and appeared irregularly in science fiction by the 1940s.
Q: Is dimension useful for studying structurally complicated sets? ¶
A: Yes, and especially fractals.
Q: Are dimensions equivalent to gauge interactions at long distances? ¶
A: Yes.
Q: Is dimension a variant of the same idea? ¶
A: Yes.
Q: Is dimension a dimension of time? ¶
A: Yes.
Q: Are dimensions said to be universal if all fields are equally free to propagate within them? ¶
A: Yes.
Q: Is dimension one of the chief ways the mathematical notion of dimension differs from its common usages? ¶
A: Yes.