I have heard of two different things occurring at Planck Temperature:
1. A black hole forms
2. The quantum gravity takes over and the wavelength of light emitted from the object is Planck length
Which is correct? Are both correct? Are neither correct?
0
I am currently using stack exchange using my iPhone 4s and how can I upload a diagram to this site from camera roll?
Yes, this is a canned question, because canned questions are simply solvable to understand ideas. No, this is not homework.
For simplicity, let's assign values.
A given object weights 1000 kg, it only has one force acting on it, and that's friction: $F_{t} = -200*v(t)$.
Let's say, after 5 sec...
In mathematics, specifically in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform on locally compact groups, such as R, the circle, or finite cyclic groups. The Pontryagin duality theorem itself states that locally compact groups identify naturally with their bidual.
The subject is named after Lev Semenovich Pontryagin who laid down the foundations for the theory of locally compact abelian groups and their duality during his early mathematical works in 1934. Pontryagin's treatment relied on the group being second...
In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) has two related meanings:
a way of representing commutative Banach algebras as algebras of continuous functions;
the fact that for commutative C*-algebras, this representation is an isometric isomorphism.
In the former case, one may regard the Gelfand representation as a far-reaching generalization of the Fourier transform of an integrable function. In the latter case, the Gelfand-Naimark representation theorem is one avenue in the development of spectral theory for normal operators, and generalizes the...
In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. It is a natural extension of Pontryagin duality, between compact and discrete commutative topological groups, to groups that are compact but noncommutative. The theory is named for two men, the Soviet mathematician Mark Grigorievich Krein, and the Japanese Tadao Tannaka. In contrast to the case of commutative groups considered by Lev Pontryagin, the notion dual to a noncommutative compact group is not a group, but a category Π(G) with some addition...
