The Possibility Structure of Physical Systems

Carl Friedrich von Weizsäcker, Holger Lyre, Thomas Görnitz

Halil Özbil

The Law of Geometric Consistency (LGC) is introduced as a proposed theoretical framework investigating whether physically realizable states require compatibility with underlying geometric and structural constraints.This work explores the possibility that not every mathematically allowed configuration corresponds to a physically admissible state. A geometric mapping perspective is developed to study relationships between quantum states, spacetime structure, information geometry, and complex physical systems.The framework discusses:geometric consistency as a possible state-selection principle,structural constraints in physical theories,connections with quantum foundations and measurement problems,potential applications in information geometry and complex systems.LGC is presented as an open research proposal requiring further mathematical formalization, independent validation, and experimental investigation.This work is part of the Structure-Sensitive Science Research Program (2026–2035).

Armando V.D.B. Assis

This paper is intended to show the Schrodinger equation, within its structure, allows the manifestation of the wave function collapse within a very natural way of reasoning. In fact, as we will see, nothing new must be inserted to the classical quantum mechanics, viz., only the dialectics of the physical world must be interpreted under a correct manner. We know the nature of a physical system turns out to be quantical or classical, and, once under the validity of the Schrodinger equation to provide the evolution of this physical system, the dialectics, quantum or classical, mutually exclusive, must also be under context through the Schrodinger equation, issues within the main scope of this paper. We will show a classical measure, the obtention of a classical result, emerges from the structure of the Schrodinger equation, once one demands the possibility that, over a chronological domain, the system begins to provide a classical dialectic, showing the collapse may be understood from both: the structure of the Schrodinger equation as well as from the general solution to this equation. The general solution, even with a dialectical change of description, leads to the conservation of probability, obeying the Schrodinger equation. These issues will turn out to be a consequence of a general potential energy operator, obtained in this paper, including the possibility of the classical description of the physical system, including the possibility of interpretation of the collapse of the quantum mechanical state vector within the Schrodinger equation scope.

Enrico G. Beltrametti, Gianni Cassinelli, Peter Carruthers

V.D.B. Assis, Armando

This paper is intended to show the Schrodinger equation, within its structure, allows the manifestation of the wave function collapse within a very natural way of reasoning. In fact, as we will see, nothing new must be inserted to the classical quantum mechanics, viz., only the dialectics of the physical world must be interpreted under a correct manner. We know the nature of a physical system turns out to be quantical or classical, and, once under the validity of the Schrodinger equation to provide the evolution of this physical system, the dialectics, quantum or classical, mutually exclusive, must also be under context through the Schrodinger equation, issues within the main scope of this paper. We will show a classical measure, the obtention of a classical result, emerges from the structure of the Schrodinger equation, once one demands the possibility that, over a chronological domain, the system begins to provide a classical dialectic, showing the collapse may be understood from both: the structure of the Schrodinger equation as well as from the general solution to this equation. The general solution, even with a dialectical change of description, leads to the conservation of probability, obeying the Schrodinger equation. These issues will turn out to be a consequence of a general potential energy operator, obtained in this paper, including the possibility of the classical description of the physical system, including the possibility of interpretation of the collapse of the quantum mechanical state vector within the Schrodinger equation scope.