December 6, 2025Open Access

The Rough Langlands Correspondence: Unifying Galois Representations and Automorphic Forms via Roughness Symmetry

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Automorphic forms are derived from prime numbers as they behave in rough geometric spaces, suggesting a new interpretation of their relationship.
The exploration highlights a manifestation of the Roughness Symmetry Principle in number theory and harmonic analysis by connecting energy spectra and topological structures.
Assessment using rough operator algebra provides a framework to understand the relationship between objects in number theory and analysis with respect to their geometric properties.
This approach may enable further insights into the interplay between discrete and continuous mathematical constructs in advanced theories.

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Implication

This analysis reveals how automorphic forms emerge from prime number behavior in rough geometric spaces, suggesting a profound connection between two mathematical domains.

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Lee Sung-gil (2025) studied this question.

synapsesocial.com/papers/6940223b2d562116f28fb92f https://doi.org/10.5281/zenodo.17835277

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Implication

This analysis reveals how automorphic forms emerge from prime number behavior in rough geometric spaces, suggesting a profound connection between two mathematical domains.

The Rough Langlands Correspondence: Unifying Galois Representations and Automorphic Forms via Roughness Symmetry

Key Points

Discussion

Implication

Cite This Study

The Rough Langlands Correspondence: Unifying Galois Representations and Automorphic Forms via Roughness Symmetry

Key Points

Discussion

Implication

Cite This Study

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Also Consider