Quantum Structural Mechanics: A Macroscopic Framework for Structural Power Evolution and Experimental Observation

Anthony J. Leggett

changzheng zhou, ZIQING zhou

This paper aims to bridge the long-standing divergences in the interpretationof quantum mechanics, particularly the opposition between the ”Schrödinger’s cat”thought experiment and the many-worlds interpretation. By systematically analyzing recent theoretical frameworks based on modern mathematical tools, this paperdemonstrates that the quantum-classical transition is, in essence, a structural transformation process. These theories collectively suggest that the measurement processis not driven by mysterious ”wave function collapse” or observer consciousness, butis an autonomous structural adjustment governed by mathematical rules, triggeredwhen the system faces an inherent incompatibility between microscopic quantumstructures and macroscopic classical structures. This paper proposes a structural realist interpretation, arguing that the core of physical reality resides in the invariantmathematical relational structures that govern the evolution of the system, ratherthan specific ”branches” or ”choices.” This framework not only dissolves traditionalparadoxes but also provides a unified theoretical basis for experimental verification.

Charles A. S. Young

This paper presents Dimensional Evolution — Quantum Measurement and Identity Formation (DE-QM), a geometric framework addressing the quantum measurement problem while preserving the full predictive structure of standard quantum mechanics. Within DE-QM, the wavefunction is treated as a resonance-geometry field rather than a probability amplitude. Superposition arises from deterministic traversal across multiple resonance-compatible configurations supported by an inverse domain, rather than from the coexistence of mutually realized states. Measurement collapse is described as a geometric stability transition governed by anchoring thresholds imposed by environmental and detector constraints. Probability emerges as a derived measure of geometric overlap between scan traversal and detector geometry, recovering the Born rule without introducing intrinsic randomness or observer-dependent postulates. The framework integrates decoherence, entanglement, and relativistic structure into a unified geometric description that remains fully compatible with nonrelativistic and relativistic quantum mechanics, including the Schrödinger and Dirac formalisms. Entanglement is treated as a shared inverse-domain resonance geometry, enabling coordinated collapse without superluminal signaling. Measurement outcomes are shown to be observer-independent and physically grounded in macroscopic anchoring geometry, consistent with established experimental results. This manuscript serves as the foundational quantum-mechanical component of the broader Dimensional Evolution framework and builds directly on prior canonical works, including the DE Core paper, companion papers CP1–CP5, and specialized studies addressing the Mott problem and Dirac structure. DE-QM does not modify quantum mechanics’ mathematical formalism; rather, it provides a coherent geometric ontology underlying wavefunction structure, superposition, collapse, and probability. --- Project website: https://de-theory.com This work is part of the Dimensional Evolution research program. Additional materials, updates, and contact information will be made available via the project website as the work expands.

A. J. Leggett

Onesm Kabelo Mokoena

We present the Cascading Observer Framework (COF), a mathematically grounded model for the dynamic evolution of observer-object interactions through sequential transformation operators On. Internal states are represented as F (g, t), capturing both structural mappings and stimulus-driven evolution. We identify two transformation regimes-uniform and heterogeneous-each preserving internal informational structures under specific invariance laws. From these, we derive two testable and falsifiable principles: (1) the Telescoping Invariance Law, and (2) the Law of Information Preservation, both asserting stability of observer-dependent internal states across transformation chains. The framework bridges relational quantum mechanics, gauge theory, and cognitive dynamics, offering falsifiable predictions via quantum simulations and convergence-based observer tests. COF provides a unified, experimentally viable structure for modeling how perception, information, and identity co-evolve within transformation-based realities.

Diederik Aerts, Thomas Durt, Andrey Anatoljevich Grib +2 more