Geometric Basis of Entanglement in Six-Dimensional Space-Time

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Abstract

This paper proposes a framework uniting prime number distribution, six-dimensional spacetime structure, and quantum entanglement. By utilizing Internal Digit Sum (INDS) classification, we show that prime numbers distribute into six residue classes modulo nine, with classes 3, 6, and 9 notably absent of primes, except for 3. Prime gaps reveal geometric features that align with density fluctuations in a Möbius-like six-dimensional spacetime. These features connect the laws of wormholes and entanglement through the geometric Constriction Points of Möbius space. The violation of Bell's inequality results from the existence of two orthogonal time dimensions. The algebraic structure governing primes underpins both quantum information and spacetime geometry. The entanglement phenomenon arises from these algebraic relations, with implications for quantum mechanics and spacetime dynamics.

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