E ≠ ∅
τ : E → T
e ≺ e′ ⇒ τ(e) < τ(e′)
N(e) = { e′ | e′ ∼ e }
Φ : E → R
R_Φ(e) = Σ(Φ(e′)−Φ(e))²
∇_μ ( X ∇^μ τ ) = 0
ρ = ||∇Ψ_c||²
D_QEC = { X>0, ρ≥θ_c, S_τ≤θ_s }
Γ : e_k ≺ e_{k+1}
𝓑(τ) = ∫_{Σ_τ∩D_QEC} ρ d³x
collapse terrain = record-support order
O^μ O_μ = −1
X = −∇τ·∇τ
X > 0 (collapse-active)
B_n = Σ_{e∈E_n} R_Φ(e)
dτ/ds = O^μ ∇_μ τ
TRQC
Timeline-Relative Quantum Collapse
Structural Framework · Quantum Foundations

Timeline-Relative Quantum Collapse

TRQC treats classical reality as locally gated rather than universal. A collapse terrain defines where stable, copyable records can exist—and an effective Lorentzian regime describes observer dynamics inside collapse-active regions.

Read the Papers Project Hub (DOI) Canonical Stacks
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Core Concepts

Three Pillars of TRQC

A structural account of how classical reality emerges from an underlying event ontology, without presupposing background geometry.

01 / Foundations
Event-Based Ontology
The foundations start from events, structural time ordering, influence, and primitive locality. No background geometry is assumed at the base layer.
e ≺ e′ ⇒ τ(e) < τ(e′)
02 / Emergence
Gated Classicality
Classical observables are restricted to a projection domain where structural time is locally valid, collapse structure is sharp enough, and shear remains bounded.
D_QEC: X>0, ρ≥θ_c, S_τ≤θ_s
03 / Continuum
Lorentzian Regime
In the continuum description, structural time, the collapse field, and observer flow are expressed covariantly—reproducing relativistic aging within collapse-active regions.
∇_μ ( X ∇^μ τ ) = 0
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Publications

Papers & Project Hub

The project hub is the stable landing page; the two papers are the primary citation targets.

Paper I · Foundations
Structural Foundations of TRQC
Metric-free event ontology, structural time, locality, collapse field, projection domain, observer chains.
Open ↗
Paper II · Continuum
Lorentzian Regime I of TRQC
Continuum realization with covariant fields, collapse-active domain, projection domain, structural aging.
Open ↗
Project Hub · Overview
TRQC Project Hub
Project overview, components, files, and canonical links. The stable landing page for all TRQC resources.
Open (DOI) ↗
Contact

Get in Touch

Questions about TRQC, collaborations, or feedback on the framework are welcome. The project is actively evolving.

Related work: event ontologies, causal sets,
relational QM, quantum foundations, emergence
of spacetime, decoherence.

DOI: 10.17605/OSF.IO/TFQ8B

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