Singularity Definition and 422 Threads

Homework Statement Given some dispersion relation for the tight binding approximation in 2D: e(k_x,k_y) = -2t_1[cos(k_x*a)+cos(k_y*a)]-4t_2[cos(k_x*a)cos(k_y*a)] Show that the density of states has a logarithmic singularity for some choice of parameters t_i. Homework Equations g(e)de=g...

Homework Statement Identify the singularity of f(z)= 1-e^z/1+e^z at z= infinity Homework Equations The Attempt at a Solution How shud i start

Hello. What is an integrable singularity? Is it a certain order of the singularity? \int_0^1\frac{1}{x}=\infty (not integrable) \int_0^1\log{x}=-1 (integrable)

According to Wikipedia, if the metric was vacuum, spherically symmetric and static the Schwarzschild metric may be written in the form: ds^2=((1-2GM/(c^2r))^-1)*dr^2+r^2*(dtheta^2+sin(theta)^2*dphi^2)-c^2*(1-2GM/(c^2r))*dt^2 I need someone to help me to derive an expression from the...

I'm trying to figure out how scientists concluded that all matter in the universe was compressed to the size of something smaller than an atom. If that's true than I think the there has to be undiscovered particles several folds smaller that the smallest known particle today. Particles so small...

Homework Statement Do residues exist only for holomorphic function? Classify the singularity and calculate the residue of tanh(z) and tan(z) The Attempt at a Solution For both Essential isolated singularity because the numerator has an infinite number of terms. Residue = 0.

Homework Statement 1) \frac{e^{z}-1}{z} Locate the isolated singularity of the function and tell what kind of singularity it is. 2) \frac{1}{1 - cos(z)} z_0 = 0 find the laurant series for the given function about the indicated point. Also, give the residue of the function at the...

This post is just concerned with definition of terms, for them as wants it. If you are NOT confused about what is meant by a singularity in math/physics, please ignore this. Sometimes a good online source, if you want the meaning of math and physics terms, is Wolfram Mathworld. Wolfram also has...

What is a "singularity"? I'm not sure I understand this concept? Isn't it just a "mathematical" concept, like "infinity" or "zero"? Couldn't it be equated with a similarly non-sensical concept as "God"? I know Hawking tries to eliminate the concept of a "singularity". But I'm not sure of what...

What, if any, are the similarities between a geometrodynamic singularity and that of a collapsed quantum?

Hello. I'm wondering if a singularity is one-dimensional. Thanks.

Homework Statement f(z) = sin(z)/[cos(z^3)-1] Show that z=0 is a non-essential singularity with an ORD(f:0)=-5 and determine the co-eff. a_-1 Homework Equations The Attempt at a Solution So, after expanding the power series z^5f(z) I showed that h(0) = 2, ie removable and has...

Homework Statement Let D be a subset of C and D is open. Suppose a is in D and f:D\{a} -> C is analytic and injective. Prove the following statements: a) f has in a, a non-essential singularity. b) If f has a pole in a, then it is a pole of order 1. c) If f has a removable singularity...

Can naked singularity actually move the spacecraft in PAST? A singularity is a place where the laws of physics break down. So if singularities can interact with the outside Universe, then anything is possible. For instance, it would be possible to send a spacecraft round such a naked...

Naked singularity can actually move the spacecraft in past? A singularity is a place where the laws of physics break down. So if singularities can interact with the outside Universe, then anything is possible. For instance, it would be possible to send a spacecraft round such a naked...

Naked Singularity ... ? -------------------------------------------------------------------------------- How the Scaler Field collapse, Dust collapse and spherical gravitational collapse provide the possibility of existence of NAKED SINGULARITY? Also can anyone explain me about this...

Hello. It seems from what I’ve gathered on these forums since I’ve read and posted on here, it seems there are only a few possibilities of how the original singularity came to be, which caused the big bang. Those are: 1.) Oscillating universe – The universe goes through a natural cycle of...

Hello all, This is a thought experiment I have been tangling with for quite some time now and still cannot find anything worthwhile on the net to determine its outcome. I'd like to know what happens if two singularities would collide head on. ( I know that singularites have no strict...

I am well aware that a number of physical models contain or predict singularities. My question is: Is there any experimental evidence that any singularity actually exists or are they all artifacts of the models? Lest someone jump right in with the singularity at the center of a black hole, let...

I've read too much about this on the immortality forum and I can't buy the idea... so, I ask you guys, what do you think are the chances of any of that being plausible? To remind you: http://brainmeta.com/index.php?p=singularity "The '''Consciousness Singularity''' refers to a...

In "Universe in a Nutshell" Stephen Hawking says that black holes have mass, and it is the mass of the original star + matter absorbed - hawking radiation in time, or something like it. Right, but: if a singularity has for definition an infinite density, this mean that it is the maximum...

Here: http://www.deanesmay.com/posts/1152629462.shtml (Thanks to Instapundit for the link)

What is singularity? How come of it?

f(x) = <x-a>^1 - <x-2a>^1 - a<x-3a>^0 function y = f(x) by means of singularity functions this is a diagram of singularities function.Can anybody pls explain to me how to draw the diagram or any website regarding this materials so that i can get to learn plsss. thanx very much

What is singularity? Many people talking about the universe say that we're one, why is it? Are we really one in one? many in one? or one in many? How would you explain "being one"?

Did our Big Bang start from a singularity or with a Planck density? What does the standard model say? Under the Planck density I understand the Planck mass divided by the volume of a sphere wirh the Planck radius. If the standard model has no answer, what is(are) the opinion(s) of our...

Ok, enough wishy-washy fluffy talk of the Consciousness Singularity, how do we do this thing? I want details. No crystalline, chakra, or third-eye nonsense. Just suggestions rooted in hard facts. Here are some concrete ideas for bringing about the Consciousness Singularity[/color]...

I have been doing some thinking about the collapse process inside a rotating black hole. (I think that the probability of creating a non rotating black hole with its point singularity and awkward infinities is so unlikely as to be not worth bothering about). Note this analysis requires no new...

I have a quick question about the singularity, is it infinitly small and dense and if so why? Why do we know it to be so as infinitely dense and small? Any help with this will be much appreciated.

What perspective can one take concerning the origin of the universe in the big bang model? Can a collapsed observer occupy the singularity itself, or is there a higher dimensional "superspace" (John Archibald Wheeler) one shares apart from it? Might an observer possesses properties beyond...

In a recent paper Ashtekar and Bojowald:http://www.arxiv.org/abs/gr-qc/0509075 gave details (page's 25-26) of the backwards quantum evolution of a specific process of Space-time "leaping". Quote from page 25: " For our quantum Einstein’s equation (55), this coefficient is given by p|τ − 2δ|...

this seems to be an interesting paper, though I can't tell for sure (don't understand the idea of naked singularity well enough, how you can have one) http://arxiv.org/abs/gr-qc/0506129 Quantum evaporation of a naked singularity Rituparno Goswami, Pankaj S. Joshi, Parampreet Singh 4...

I read that the singularity at the centre of a black hole is always in the future since time slows down to zero the nearer you approach it . So when a black hole evaporates ,at the moment when its mass falls below where gravity overcomes the exclusion principle does the matter in the singularity...

I have some trouble wrapping my head around singularity One of assignment question is to show that the unit function is not defined at 0. To do that, I need to show \lim_{\Delta\to0}[u_{\Delta}(t)\delta(t)]=0 \lim_{\Delta\to0}[u_{\Delta}(t)\delta_{\Delta}(t)]=\frac{1}{2}\delta(t)...

I had a dream this morning about a Stargate type device, and i remembered that a singularity is infinity. And i got to thinking that a black hole is supposed to be a singularity. So is a black hole a physics representation of infinity? and what does that mean?

http://rainman.astro.uiuc.edu/coffeepap_Friday.html astro-ph/0504464 Title: Can the initial singularity be detected by cosmological tests? Authors: Marek Szydlowski, Wlodzimierz Godlowski, Adam Krawiec, Jacek Golbiak Comments: 30 pages, 7 figures In the present paper...

Hello! I've found in my FE Analyses (For an 'L' shaped model) that for each value of Poisson's Ratio there exists a certain substanded angle above which the elastic solution has no stress singularity. Can somebody tell me what really a stress singularity means mathematically? and that why does...

I understand that the "singular values" used to form the diagonal matrix D in a singular value decomposition of a matrix A are the square roots of the eigenvalues of A^TA. But I'm having trouble getting a grip on the concept of "singularity" in the context of a matrix. Previously I've only...

Oral Ideas:( Hello. I will be doing an oral presentation for my English SAC. I origionaly wanted to talk about space-time then I changed it to Singularity because I only have about 10 mins to talk and I don't believe that I can scratch the surface in 10 mins. About singularity I know only a...

From Wikipidia In general relativity, a naked singularity is a gravitational singularity without an event horizon. The singularities inside black holes are always surrounded by an area which does not allow light to escape, and therefore cannot be directly observed. A naked singularity, by...

Hi all. I was interested to know if any mass can exist in singularity? Personaly I think I cannot because there are no dimentions or anything, but a friend of mine says that mass can exist(he is not really a physisit and hasn't got much of a knowledge)? Who is right?

Black Holes-mathematical singularity or physical reality? Hi, I posted maybe a week ago and got some excellent feedback on experimental eveidence for GR. this post is intended to start debate, not as a question demanding an answer... after reading around for some time and speaking to my...

I’ve seen quantum singularity reactors on Star Trek and Babylon 5, and I’ve got a few questions. First of course, are they theoretically possible? How would they work exactly? And how much power could they generate? (One such reactor on a starship in Babylon 5 generates 330 exawatts, for...

If all 4 dimensions of a singularity are zero. How do you describe the motion or evolution of a singularity, in space-time? For example the motion of a singularity, ie black hole at the centre of every Galaxy and Quasar as it evolves through space-time, if all it's 4 Dimensions are zero...

Consider a Schwarzschild spacetime. If the singularity due to the point mass is removed (e.g. with an homogeneous matter distribution), does the event horizon disappear? If yes (I assume this is the case), how can be proven that there exists no event horizon if there is no singularity? May be it...

Why does the point singularity of a black hole turn into a ring if the BH is spinning? What would the singularity look like if the BH were spinning on 2 axes? (What if the BH were really a multi-dimensional construct and were spinning on more axes?) What is the volume of a ring singularity...

Hello I am new here. I have been wondering about the true nature of reality for some time, just because I am curious. Heres what i have concluded so far and i would like to know if there are any mistakes in it: The Big Bang started off as a singularity. Quantum mechanics has shown that...

Hello I am new here, I am a science and physics noob so please go easy on me. I have been wondering about the true nature of reality for some time, just because I am curious. During the proces I've come across the holographic universe theory, some quantum mechanics, some religious stuff, etc...

What type of atom is a singularity primarily composed of? Hydrogen? So the fusion reactions in black holes lead to infinitely dense hydrogen atoms?

Consider a light source approaching a singularity (in free fall). As the source approaches the singularity, it is approaching infinite gravity, infinite tidal forces, infinite time-slowing, infinite escape velocity, and infinite red-shifting in zero distance (as seen, or not seen, by outside...