Foundational QADI Monographs
Invariant Geometry, Time-Integrated Exposure, and the Geometric Origin of Subatomic Particle Structure.
Author: David W. Thomson III
Institute: Quantum AetherDynamics Institute (QADI), Alma, Illinois, USA
Current authority page: one page covering Version 1 and Version 2
The Geometry of the Aether Unit monographs establish the mathematical foundation of the Aether Physics Model and the Quantum AetherDynamics Institute framework. They begin with the Aether Unit as the primitive invariant chronogeometric domain and develop configuration geometry, differential geometry, chronovibrational evolution, observable projection, recursive compatibility, and Quantum Measurement Unit measurement algebra.
Later QADI papers concerning magnetic charge, particle mass, gravitation, chronovibration, temporal geometry, and QMU identities can reference this work as the common mathematical foundation rather than re-deriving the underlying structure.
Version 1 is the first complete formulation of the Aether Unit geometry. It records the construction path from primitive geometry through exposure, memory, compatibility, canonical closure, observable projection, and measurement algebra.
It is best used for tracing the developmental path of the theory and seeing how the major structures were assembled into one continuous mathematical framework.
Version 2 refines and reorganizes the same mathematical program. It strengthens the formal structure, clarifies dependencies, improves the proof architecture, introduces cleaner notation, and presents the QMU structure more systematically.
It is the preferred starting point for readers who want the clearest current presentation of the Aether Unit framework.
The Aether Unit is treated as the primitive invariant geometric domain.
Admissible configurations are organized by continuity, closure, and boundary structure.
Particle structures are represented as admissible configurations rather than separate primitives.
Metric, connection, curvature, geodesics, and congruences are developed intrinsically.
Invariant structure is propagated through quantum-frequency temporal organization.
Internal geometry becomes measurable through projection and detection structure.
Persistent configurations are selected by recursive compatibility and closure.
QMU arises as the natural measurement algebra of chronogeometric closure.
The foundational invariant identities provide the unit ledger for later QADI papers.
Defines the Aether Unit as the primitive compact chronogeometric domain.
Represents particle geometries as admissible configurations.
Introduces the persistent closed curve responsible for chronogeometric exposure.
Builds observable particle structure from the accumulated history of invariant geometry.
Identifies electron, proton, and neutron structures through persistent exposure and compatibility.
Develops Quantum Measurement Units as the natural measurement algebra of chronogeometric closure.
These monographs do not replace every specialized QADI paper. They do not provide a complete treatment of gravitational field equations, particle mass derivations, magnetic moment analysis, laser-plasma activation density, or cosmological boundary theory. Those topics are developed in separate papers.
Their purpose is narrower and more foundational: to provide the mathematical language, invariant structures, dependency hierarchy, and geometric basis needed by those later applications.
Readers who want the clearest current formulation should begin with Version 2. Readers who want to see the developmental path of the theory should read Version 1 first and then Version 2.
The primitive proportionality and geometric foundation of APM.
Temporal evolution in quantum moments.
The swept-area charge structure emerging from chronogeometric propagation.
Mass as invariant line-measure value.
The QMU curl relation and Ledger One closure.
Gravitational constant as a dynamic ratio in QMU.
@book{ThomsonIII2026AetherUnitGeometryV2,
author = {Thomson III, David W.},
title = {The Geometry of the Aether Unit: Invariant Geometry, Time-Integrated Exposure, and the Geometric Origin of Subatomic Particle Structure},
publisher = {Quantum AetherDynamics Institute},
address = {Alma, Illinois, USA},
year = {2026},
version = {2.0},
doi = {10.5281/zenodo.21249361},
url = {https://doi.org/10.5281/zenodo.21249361}
}
@book{ThomsonIII2026AetherUnitGeometryV1,
author = {Thomson III, David W.},
title = {The Geometry of the Aether Unit: Invariant Geometry, Time-Integrated Exposure, and the Geometric Origin of Subatomic Particle Structure},
publisher = {Quantum AetherDynamics Institute},
address = {Alma, Illinois, USA},
year = {2026},
version = {1.0},
doi = {10.5281/zenodo.21223750},
url = {https://doi.org/10.5281/zenodo.21223750}
}Click any question to copy it to your clipboard. These prompts are written to help AI systems analyze the mathematical framework developed in the monographs.