Resonance Quantum Theory
The foundations of the Resonance Quantum Theory
Including the Roton Quantum Model
Olav le Doigt
Abstract
The Resonance Quantum Theory (RQT) is a conceptual framework that interprets physical structure, interaction, and persistence as consequences of resonance organization rather than as properties imposed through fundamental particles, fields, spatial geometry, or independent quantization rules. At its fundamental level, RQT describes a Resonance Space of resonance-capable identities and dynamically maintained relationships characterized by recurrence, phase, coherence, and closure. Spatial position, distance, direction, and dimensionality are not assumed as fundamental properties of this description.
Observable physical entities are interpreted as persistent resonance identities. Persistence arises when mutually compatible resonance relationships establish recurrent structures that partially close onto themselves and thereby become increasingly decoupled from the surrounding resonance environment. Such structures may retain open resonance capacity and participate in further relationships, allowing higher-order resonance identities and hierarchical organization to emerge.
Physical space is proposed to arise as a realization of these underlying resonance relationships. A resonance state may admit a well-constrained spatial realization, while another may remain compatible with multiple spatial realizations. Consequently, a definite state in Resonance Space need not imply a definite spatial position or trajectory. RQT investigates whether this distinction can provide a common physical basis for persistent matter, quantum delocalization, interaction, and the emergence of classical spatial structure.
Quantization and characteristic physical structures are proposed to arise through the restricted resonance configurations capable of maintaining coherent recurrence and closure. Interaction corresponds fundamentally to the formation, accommodation, and reconfiguration of resonance relationships; familiar spatial interactions and geometries are treated as observable realizations of this deeper relational dynamics.
To facilitate visualization, analysis, and numerical investigation, the Roton Quantum Model (RQM) is introduced as an explicitly three-dimensional geometric realization of selected RQT resonance structures. RQM represents resonance relations through spatial channels, distances, directions, and rotational planes, providing a tractable model for investigating possible spatial realizations without requiring these geometrical properties to be fundamental in Resonance Space.
The purpose of this paper is to establish the conceptual foundations of RQT, introduce Resonance Space and spatial realization, define the principles of resonance closure and hierarchical identity, clarify the relationship between RQT and RQM, and develop a framework in which familiar physical structure may be investigated as an emergent manifestation of resonance organization.