Kakeya Conjecture Applied to Extra Dimensions

The universe can be described with both real and so-called imaginary numbers - it’s logical to assume reality is like Quantum Gravity. Either Quantum Mechanics or General Relativity could be the more useful description of the universe in different circumstances, with their union in a theory of Quantum Gravity being more complete and better than both. In the same way, descriptions using Complex numbers would be more complete than either Real or Imaginary ones alone. The Kakeya conjecture has been proven for 1, 2, and 3 dimensions. Maybe that proof can be extended to the 4th and imaginary dimensions by the Mobius strip being a fundamental component of the universe, and the Complex Plane’s Wick rotation being built into the Mobius and acting as a timepiece whose real and imaginary components record the passage of time.