L(6+7): A Unified Lagrangian Framework Across Cosmological, Mesoscopic, and Microscopic Scales

We present the L(6+7) framework, a unified variational construction designed to describe cosmological, mesoscopic, and microscopic dynamics within a single Lagrangian formalism. The theory reproduces ΛCDM as a strict limiting case when the internal sector is dynamically frozen, while admitting structured dynamical regimes that manifest as dark matter– and dark energy–like behavior.

A central result of the framework is the emergence of entropy as a fundamental operator organizing the space of states, with physical time arising as a derived quantity associated with the history of possible events rather than as a primary parameter. This construction provides a coherent description across scales without introducing ad hoc fields or parameters, offering a consistent extension of standard cosmology and field theory.

Contact: zigangirov@ukr.net
ORCID: https://orcid.org/0009-0001-8521-8740