Fundamental university physics. Volume 3, Quantum andstatistical physics

Miguel A. Alonso, Ed Finn

Iker Ibarrola Echeverría

This volume introduces the canonical realization mechanism that connects correlational ontology and formal structure to effective physical description. A universal correlational flow is defined as a non-ontological ordering principle acting on correlational configuration space, without invoking time or dynamics. From this realization mechanism, an emergent structural action and fundamental emergent equations are derived. The volume develops the emergence of time, dynamics, space, geometry, quantum and classical regimes, and physical laws as regime-dependent effective descriptions. Known physical theories—quantum mechanics, classical mechanics, and relativity—are recovered as distinct realization regimes. The volume makes explicit the non-fundamental status of action principles, equations of motion, and spacetime geometry. This volume constitutes the physical core of the framework.

Benjamin G. Levich, Viktor A. Myamlin, Yu. A. Vdovin

Iker Ibarrola Echeverría

This volume connects the foundational correlational structure to effective physical descriptions. The Hessian of the consistency functional is identified as a universal structural operator encoding stability, locality, and admissible physical regimes. Through spectral analysis and projection, familiar operator classes emerge as effective descriptions, including elliptic operators, Hamiltonian-like generators, and GKSL-type semigroup generators. Dynamics, geometry, and quantum coherence are shown to be regime-dependent phenomena rather than fundamental ingredients. The volume classifies effective regimes and delineates their domains of validity and breakdown. This work provides the formal bridge between the correlational foundation and known physical formalisms such as quantum mechanics, open quantum systems, and classical geometry.

Hans-Otto Carmesin

Quantum physics is a successful field of science with many relevant applications in everyday life. An exciting question is still, what is the fundamental reason for the postulates about quanta? An answer would provide a deeper insight into nature. Such an insight can sometimes be achieved with help of a paradox. How can we derive the quantum postulates with help of a paradox? In present-day science, space is usually modelled as a single entity. However, special relativity shows that this view is paradoxical. Instead, space consists of several volume portions that move at the velocity of light. According to the observed isotropy of space at a universal scale, space is a statistical average of rapidly moving volume portions. This solves the paradox. Therefrom, the deeper insight is achieved as follows: The dynamics of these volume portions is derived. Therefrom, the Schrödinger equation and the quantum postulates are derived. In this manner, the dynamics of space provides the fundamental reason for the postulates about quanta. In the learning process, the students achieve an intensive awareness, as they experience a cognitive conflict, the paradox. With it, they realize that the basic concept of a single entity of space is insufficient. They realize that the new concept requires rapidly moving volume portions and provides the quantum postulates. A concept for teaching is presented and experiences are reported.

Amelia Sánchez-Galindo, P. Pascual