query: Have we proven that higher dimensions exist?
positive_passages.docid: 15799
positive_passages.text: Experimental evidence of a fourth spatial dimension?
negative_passages.docid: 9463
negative_passages.text: What is the proof that the universal constants ($G$, $\hbar$, $\ldots$) are really constant in time and space?
negative_passages.docid: 123430
negative_passages.text: Can a topological manifold be non-connected and each component with different dimension?
negative_passages.docid: 54193
negative_passages.text: Can light exist in $2+1$ or $1+1$ spacetime dimensions?
negative_passages.docid: 144771
negative_passages.text: Is there any thing composed of elementary particles in this world that is not 3 dimensional?
negative_passages.docid: 132582
negative_passages.text: What evidence exists for string theory viability?
negative_passages.docid: 151425
negative_passages.text: Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
negative_passages.docid: 74024
negative_passages.text: Higher dimensional equivalent of complex numbers
negative_passages.docid: 100386
negative_passages.text: Curvature of spacetime as a real thing?
negative_passages.docid: 38674
negative_passages.text: Do complex numbers really exist?
negative_passages.docid: 131128
negative_passages.text: Why time is considered a dimension?
negative_passages.docid: 65001
negative_passages.text: Universe from nothing?
negative_passages.docid: 32598
negative_passages.text: Are wormholes really a valid shortcut to distant points in the universe?
negative_passages.docid: 52827
negative_passages.text: Could negative dimension ever make sense?
negative_passages.docid: 71085
negative_passages.text: In Einstein's General Relativity, do the space-time dimensions curve?
negative_passages.docid: 66573
negative_passages.text: Intuition behind why Stein's paradox only applies in dimensions $\ge 3$
negative_passages.docid: 5612
negative_passages.text: How to prove that we are living in a 3+1D world?