Dimension FAQs:


Q: Are dimensions used to describe string theory?

A: Yes, and the state-space of quantum mechanics is an infinite-dimensional function space.

Q: Were dimensions also a key component of the book The Boy Who Reversed Himself by William Sleator?

A: Yes.

Q: Are dimensions trivial?

A: Yes, and it reproduces electromagnetism.

Q: Is dimension one of the chief ways the mathematical notion of dimension differs from its common usages?

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 also the dimension of the tangent vector space at any 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: 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: 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 finite if and only if the space's Hamel dimension is finite?

A: Yes, and in this case the above dimensions coincide.

Q: Is dimension the maximum of the dimensions of its components?

A: Yes.

Q: Are dimensions equivalent to gauge interactions at long distances?

A: Yes.

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 a variant of the same idea?

A: Yes.

Q: Is dimension one way to measure physical change?

A: Yes.

Q: Is dimension defined for all metric spaces and?

A: Yes, and unlike the dimensions considered above, can also attain non-integer real values.

Q: Is dimension useful?

A: Yes.