Structural Foundations of TRQC
doi: 10.17605/OSF.IO/S5M3P
Framework Overview
What is TRQC?
A structural account of collapse, observers, and classical emergence — where classicality is locally gated, not universally assumed.
Core Claims
Three Foundational Ideas
Core Claim
Gated Classical Reality
Classical reality is not assumed everywhere. It appears only where the underlying structure supports stable, copyable records.
Collapse Terrain
Real Collapse Field
The collapse field is a real field describing where record-support is sharp enough to differentiate outcomes — not a process applied to wavefunctions.
Structural Time
Local Time Validity
Time is represented as an ordered stack variable that is physically meaningful only where it is locally valid — not a global background parameter.
Foundations
Events and Gating
TRQC begins with a nonempty set of events, an ordering (structural time), an influence relation, and a primitive adjacency relation that defines locality. A real collapse field lives on events. Classicality is gated to a projection domain defined by three conditions: local time validity, sufficient collapse roughness, and bounded structural shear. No background geometry is assumed at the base layer.
Observers
Structural Aging
Observers are modeled as influence-forward chains through the event network. The elapsed "time" an observer experiences is defined as the accumulated change in structural time along the chain. In the continuum regime, differences in observer alignment with the structural-time gradient produce differential aging behavior — a structural analog of relativistic time dilation.
Continuum
Lorentzian Regime I
A Lorentzian regime describes TRQC on an effective spacetime manifold using covariant fields: a collapse field, a structural-time field, and an observer field. The collapse-active region is where structural time is timelike and the projection domain conditions hold. Within those regions, the theory provides a concrete bridge to relativistic language while keeping classicality explicitly local and conditional.
Open Problems
Status and Active Directions
Arrow of Time
Formulated as a structural brightness trend across layers; mechanisms and simulations are an active direction.
Born Rule
Framed via structural basin weights and a deviation diagnostic; closing dynamics remain an explicit target.
Collapse Dynamics
Regime I provides working PDE structure for exploration; empirical hooks are an ongoing program.
Publications
Papers
Lorentzian Regime I of TRQC
doi: 10.17605/OSF.IO/KG3MF
TRQC Project Hub
doi: 10.17605/OSF.IO/TFQ8B