Riemann Hypothesis

This study explores a novel mathematical interpretation of the Riemann Hypothesis through symmetry structures, functional sequence behavior, and critical-line analysis in complex number space. The framework investigates whether non-trivial zeros of the Riemann zeta function can emerge from deeper hidden symmetries, energetic balancing principles, or sequence-based structural constraints along the critical line Re(s)= 1/2. The work combines analytic number theory concepts with geometric, trigonometric, and functional-sequence approaches to examine how zero distributions may reflect underlying mathematical order rather than random dispersion. The study also discusses possible connections between symmetry-breaking, oscillatory structures, and dimensional transformations within complex analytic systems, aiming to provide an original conceptual framework for understanding critical-line stability and zeta-function behavior.

Originality and AI-use statement:
This work is an original research output by Begüm Yıldırım. AI tools, if used, were limited to language refinement, grammar correction, formatting, translation assistance, and clarity improvement. The conceptual framework, research direction, interpretation, models, and conclusions belong to the author. External sources, datasets, or prior works are cited where applicable.