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Carlo Beenakker
Carlo Beenakker
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Motivated by How does the parity of $n$ affect the properties of $\mathbb{R}^n$? I dare to ask the following question (with thanks to my colleague Vedran Dunjko): We happen to live in a world of prime dimensionality. Is that special? Are there properties of $\mathbb{R}^n$ that only apply to $n$ a prime integer?

Motivated by How does the parity of $n$ affect the properties of $\mathbb{R}^n$? I dare to ask the following question: We happen to live in a world of prime dimensionality. Is that special? Are there properties of $\mathbb{R}^n$ that only apply to $n$ a prime integer?

Motivated by How does the parity of $n$ affect the properties of $\mathbb{R}^n$? I dare to ask the following question (with thanks to my colleague Vedran Dunjko): We happen to live in a world of prime dimensionality. Is that special? Are there properties of $\mathbb{R}^n$ that only apply to $n$ a prime integer?

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Carlo Beenakker
Carlo Beenakker
  • 188.1k
  • 18
  • 448
  • 651

Does the primality of the number of dimensions affect its properties?

Motivated by How does the parity of $n$ affect the properties of $\mathbb{R}^n$? I dare to ask the following question: We happen to live in a world of prime dimensionality. Is that special? Are there properties of $\mathbb{R}^n$ that only apply to $n$ a prime integer?