Compression–Oscillation Duality

This work explores an early compression based perspective on how stable physical structures may arise from wave behavior in a responsive medium. Compression is treated not as simple spatial squeezing, but as a modification of the medium’s effective response, altering how waves propagate, interfere, and return.

Within this picture, geometric features emerge from compression states and influence dynamics by constraining propagation paths, phase accumulation, and causal structure. Geometry alone does not bind or stabilize matter; instead, it filters which wave modes can form self reinforcing feedback loops. Stable structures persist only when wavelength, coupling strength, and feedback length remain compatible with the local compression state, while incompatible modes dissipate.

This document represents an early exploratory stage of a broader conceptual development. Its purpose is not to present a complete physical theory, but to articulate an initial guiding mechanism in which compression shapes geometry, geometry constrains wavebands, and stability arises only from modes capable of closing under these constraints.

The ideas developed here have since been generalized and reframed within a broader ontological and structural framework that unifies general relativity, quantum theory, thermodynamics, and information theory at a conceptual level. That later work presents a more systematic and carefully bounded formulation of these ideas and should be regarded as the primary reference point:

Waveband Ontology: A Unified Structural Map Bridging General Relativity and Quantum Reality
DOI: https://doi.org/10.5281/zenodo.17925120

This earlier document is retained for continuity and transparency, as it reflects the conceptual path that led to the later framework.