Collected Mathematical Investigations on the Koida Constant

This record introduces the Koida constant Λₑ𝒻𝒻 = –π/e as a fundamental structural bound in the geometry of phase space. This constant limits the curvature of quantum-to-classical transitions and constrains the persistence of phase coherence across dynamical systems.

The constant appears across quantum, gravitational, and informational contexts, suggesting a shared phase-geometric origin for coherence limits. This reframes classical chaos not as a stochastic inevitability, but as a structural boundary violation.

A cross-disciplinary manifesto calls for reinterpretation of physical theories in terms of internal phase geometry rather than external interactions.

All materials are authored by Oleksandr Koida, and released under an extended non-commercial license with ethical and media-use exceptions.