Negative dimensions can be mathematically and physically meaningful.
the verdict
SUPPORTED
the evidence backs this
confidence 84/100
Mathematical and physical frameworks, such as those in Lie group theory and the study of omnidimensional polytopes, demonstrate that negative dimensions can be formally defined and yield meaningful properties.
Evidence for · 2
On duality and negative dimensions in the theory of Lie groups and symmetric spaces
2011 · cited by 22
Demonstrates how symbolic formulas involving negative dimensions (such as U(-N)) naturally arise and extend within the theory of Lie groups and symmetric spaces.
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More for · 1
On the Omnidimensional Convex Polytopes and n-Balls in Negative, Fractional and Complex Dimensions
2022 · cited by 0
Proves that geometric formulas for volumes and surfaces of polytopes and n-balls remain continuous and meaningful in negative dimensions.