Quad Nets:
Material Foundations for Thermal Device Models of Brains


Short Abstract

A Quad Net (QN) is a proposed physical material made up of interconnecting tiles. A pulsing elemental device occupies each tile and interacts through junctions with its neighbors. Pieces of QN material can be worked into device parts, e.g., a Toroidal Quad Net or TQN that maintains circulating waves of pulses. QN device parts are joined together to make up assemblies of increasing sizes in which various pulse patterns ("phases") are maintained.

During operations, a QN device part cyclically falls into silence, then re-activates, selecting an actual phase from possible phases and maintaining the selected phase as the cycle proceeds. Phase selections are coordinated within assemblies of device parts; and phases are nested within larger phases. In imitation of neuronal signals in brains, some phases ("objects") organize sensations and other phases ("acts") drive muscles. Cyclically selected patterns of pulses in assemblies of QN device parts are models of sensory-motor activities in brains of animals.


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Table of Contents
§ 1 Survey of the Quad Net Model
  a. Quad Nets are tiled constructions in space and time
  b. Spatial organization of Quad Net devices
  c. Tilings are nested to control pulse patterns
  d. Periodic, collective pulse patterns or "phases" in QN device parts
  e. Introducing the Critical Point argument
  f. Quad Net models suggest models of brains and psychology
§ 2 Quad Net Material Constructions
  a. Primal Quad Net (PQN)
  b. Deformation of Quad Net
  c. Wave phases in Primal Quad Net
  d. Modifications of the Quad Net field
  e. Closure of pieces of Quad Net into regular forms
  f. Attachments and assembly through projection modifications
  g. Phasic transfers between Quad Nets
  h. Similarity and self-similarity in Quad Net constructions
  i. The Phase Transfer Controller
§ 3 Critical Moments and the Principle of Shimmering Sensitivity
§ 4 Specifications and Activations
  a. The Simple Cycler
  b. The Virtual Energy model: internal specifications of elemental devices
  c. The Virtual Energy model: interactivity and interaction specifications
  d. Low-level and high-level activations
  e. Single and summed interactions in high-level activations
  f. Controller interactions
  g. The proposed Critical Point Activation
§ 5 Physical Basis of the Proposed Critical Point Activation

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