A New Form of the Riemann Hypothesis in Fractal Spacetime: Theory and Approach
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This paper proposes a new form of the Riemann zeta function re?constructed within the fractal spacetime MDH, termed the fractal zetafunction, and introduces the fractal Riemann hypothesis (FRH). Byincorporating fractal derivatives and the fractal Gamma function, di?mensional corrections are applied to the analytic continuation of thezeta function, and a new formulation of its zero distribution is ex?plored. Numerical validation paths are proposed, and the theoreticalsignificance as well as the challenges involved are analyzed, aimingto offer new perspectives and solutions to deep-seated problems inmathematics and physics.
