Geometric Dissipation Theory

Geometric Dissipation Theory (GDT) is a cross-domain systems framework for analysing how disturbances propagate, are accommodated, and alter future system behaviour within coupled physical and operational geometries. Rather than treating complex systems as simple linear chains of cause and effect, GDT begins from the premise that realised events propagate through multiple coupled pathways, interact with receiver state, available storage, thresholds, boundaries, and prior records, and may recruit different subsystems across different timescales.The associated Constraint–Buffer–Control with Radial Causality (CBC-RC) method provides an operational workflow for identifying and testing the mechanism that prevents a disturbance from becoming a burden. Constraints define what must remain viable; buffering identifies or creates the mechanism capable of accommodating the disturbance; control governs how that mechanism is recruited, modulated, or handed off; and Radial Causality traces how the realised event propagates through receiver-relative causal horizons. Containment is therefore treated as one possible outcome of the analysis rather than being assumed in advance.Radially Causal Horizons (RCH) formalise the receiver-relative reach of an event, including reinforcement, cancellation, delay, threshold effects, recursive records, and changes in the geometry presented to subsequent interactions. The Whole-System Reconstruction Principle further requires that local models, measurements, and decompositions be reconstructed with outcome-relevant couplings, receivers, constraints, stored states, timescales, successor mechanisms, and downstream records before being promoted to whole-system conclusions.The Recursive Horizon Triad develops the deeper relationship between time, entropy, and causality as mutually constitutive aspects of realised state transition. It explicitly distinguishes domain-native accommodation mechanisms from thermodynamic entropy accounting and permits zero entropy production under appropriately declared reversible or unitary boundaries.Wpot extends the engineering side of the framework by defining a time-, state-, geometry-, and constraint-qualified operating envelope for accommodation power. It distinguishes installed energy from presently accessible power capability and incorporates receiver limits, transfer geometry, local storage, source recruitment, thermal constraints, and successor hand-off into a single falsifiable operating-envelope description.The Direct Current Convergence Module (DCCM) and associated MicroGrid/MGPC architecture provide the principal physical test bed for the framework. The DCCM uses distributed stored-energy domains separated by a finite dissipative transfer boundary to study local buffering, source recruitment, voltage drop, thermal expenditure, and multi-timescale hand-off. These engineering results are presented with explicit distinctions between measured, derived, assumed, and unknown quantities rather than as proof of a universal physical law.Across the corpus, GDT, RCH, CBC-RC, the Recursive Horizon Triad, Support Theory, and Wpot are presented as a connected research programme rather than as established new fundamental physics. The work includes formal definitions, operating-envelope models, falsification criteria, counterfactual tests, threat models, and explicit evidence boundaries intended to make the framework scientifically testable and progressively refinable.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-25
DOI
https://doi.org/10.5281/zenodo.22101151
Primary Topic
Control and Stability of Dynamical Systems
Type
preprint
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Geometric Dissipation Theory

Liam Rafferty
Zenodo (CERN European Organization for Nuclear Research)
Control and Stability of Dynamical Systems
preprint

Geometric Dissipation Theory

Liam Rafferty
preprint en

Abstract

Geometric Dissipation Theory (GDT) is a cross-domain systems framework for analysing how disturbances propagate, are accommodated, and alter future system behaviour within coupled physical and operational geometries. Rather than treating complex systems as simple linear chains of cause and effect, GDT begins from the premise that realised events propagate through multiple coupled pathways, interact with receiver state, available storage, thresholds, boundaries, and prior records, and may recruit different subsystems across different timescales.The associated Constraint–Buffer–Control with Radial Causality (CBC-RC) method provides an operational workflow for identifying and testing the mechanism that prevents a disturbance from becoming a burden. Constraints define what must remain viable; buffering identifies or creates the mechanism capable of accommodating the disturbance; control governs how that mechanism is recruited, modulated, or handed off; and Radial Causality traces how the realised event propagates through receiver-relative causal horizons. Containment is therefore treated as one possible outcome of the analysis rather than being assumed in advance.Radially Causal Horizons (RCH) formalise the receiver-relative reach of an event, including reinforcement, cancellation, delay, threshold effects, recursive records, and changes in the geometry presented to subsequent interactions. The Whole-System Reconstruction Principle further requires that local models, measurements, and decompositions be reconstructed with outcome-relevant couplings, receivers, constraints, stored states, timescales, successor mechanisms, and downstream records before being promoted to whole-system conclusions.The Recursive Horizon Triad develops the deeper relationship between time, entropy, and causality as mutually constitutive aspects of realised state transition. It explicitly distinguishes domain-native accommodation mechanisms from thermodynamic entropy accounting and permits zero entropy production under appropriately declared reversible or unitary boundaries.Wpot extends the engineering side of the framework by defining a time-, state-, geometry-, and constraint-qualified operating envelope for accommodation power. It distinguishes installed energy from presently accessible power capability and incorporates receiver limits, transfer geometry, local storage, source recruitment, thermal constraints, and successor hand-off into a single falsifiable operating-envelope description.The Direct Current Convergence Module (DCCM) and associated MicroGrid/MGPC architecture provide the principal physical test bed for the framework. The DCCM uses distributed stored-energy domains separated by a finite dissipative transfer boundary to study local buffering, source recruitment, voltage drop, thermal expenditure, and multi-timescale hand-off. These engineering results are presented with explicit distinctions between measured, derived, assumed, and unknown quantities rather than as proof of a universal physical law.Across the corpus, GDT, RCH, CBC-RC, the Recursive Horizon Triad, Support Theory, and Wpot are presented as a connected research programme rather than as established new fundamental physics. The work includes formal definitions, operating-envelope models, falsification criteria, counterfactual tests, threat models, and explicit evidence boundaries intended to make the framework scientifically testable and progressively refinable.

Zenodo (CERN European Organization for Nuclear Research)
Control and Stability of Dynamical Systems
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