Geometric–Temporal Framework: From Period to Observable Structure Time, Geometry, Nonlinearity, Closure, and Projection as the Basis of Physical Regimes
Alexandar Balevsky, Krasimira Ivanova
Abstract
The present work proposes a geometric–temporal framework in which physical description begins from internal period rather than from pre-defined particles, masses, or interactions. Within this framework, time is the primary quantity from which structure and observable quantities emerge through geometry, nonlinearity, closure, and projection. It is shown that the frequency, geometric, field, and energy scales of a configuration follow from period without being introduced independently. In this sense, the physical object is treated not as a static material unit, but as a stable nonlinear geometric–temporal mode of space. At the next level, the framework is extended from single regimes to joint nonlinear configurations. This makes it possible to interpret chemical bond and molecule as stable shared solutions of a common closure condition, and water as a natural consequence of the framework. From the minimal water law there follow preferred cluster regimes, a non-tuned temperature redistribution, and a structural water window. It is further shown that a broad life-compatible window and a narrower enzyme-compatible regime arise naturally from this water window, and that the derived water regime is compatible with major classes of biological structures. The framework is thus presented as a continuous logical chain from time to structure, water, and biological compatibility.