I'm excited to share my latest research, where I build upon the groundbreaking work of Professors James Maynard and Larry Guth on prime counting in almost-short intervals. In this paper, I introduce an enhanced Hamiltonian operator that extends their framework, deepening the connections between quantum mechanics and number theory. My analysis suggests that this operator plays a crucial role in linking these fields and provides strong evidence supporting the Lindelöf Hypothesis—a key component in the broader effort to solve the famous Riemann Hypothesis. This work could be a significant step toward unraveling one of the greatest mysteries in mathematics.

linke of paper : https://hal.science/hal-04683369

I would greatly appreciate any feedback or comments from the community on this contribution. Your insights and expertise would be invaluable in refining and further developing these ideas.

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