query: Why do physicist accept the idea of singularities?
positive_passages.docid: 116355
positive_passages.text: Do singularities have a "real" as opposed to mathematical or idealized existence?
negative_passages.docid: 121048
negative_passages.text: Why does gravitational singularity break the laws of physics?
negative_passages.docid: 16704
negative_passages.text: $\frac{1}{z}-\frac{1}{\sin z}$ at the origin - Classify singularities
negative_passages.docid: 85135
negative_passages.text: Why singularity in a black hole, and not just "very dense"?
negative_passages.docid: 156382
negative_passages.text: Why is Compactification restricted to Toroids, Calabi-Yau et al?
negative_passages.docid: 147500
negative_passages.text: Why do physicists think that the dark matter is cold?
negative_passages.docid: 41262
negative_passages.text: Does the concept of infinity have any practical applications?
negative_passages.docid: 66770
negative_passages.text: Intuition for Smooth Manifolds
negative_passages.docid: 103515
negative_passages.text: How do physicists justify using $c^2$ in equations?
negative_passages.docid: 13106
negative_passages.text: Why do physicists believe that there exist magnetic monopoles?
negative_passages.docid: 72979
negative_passages.text: Why (in relatively non-technical terms) are Calabi-Yau manifolds favored for compactified dimensions in string theory?
negative_passages.docid: 47977
negative_passages.text: If $u$ is harmonic and bounded in $0 < |z| < \rho$, show that the origin is a removable singularity
negative_passages.docid: 90148
negative_passages.text: Does any particle ever reach any singularity inside the black hole?
negative_passages.docid: 5303
negative_passages.text: isolated non-normal surface singularity
negative_passages.docid: 106233
negative_passages.text: Physics for mathematicians
negative_passages.docid: 5966
negative_passages.text: Is a black hole singularity a single point?
negative_passages.docid: 135853
negative_passages.text: If $f(z)$ has an isolated singularity at $z=z_0$ and if $\lim_{z\to z_0} (z-z_0)^{a}f(z)=M\neq0,\infty$, then $\alpha$ must be an integer.