Ψc(xμ)
Oμ(x)
τ(x)
TRQC
μμΨc
V(Ψc,τ)
OμOμ=1
\u2202τ/\u2202s > 0
γ OμμΨc
R^τμν
geffμν
ΠQEC[·]
ρ=∇Ψc·∇Ψc
Pᵢ=∫Sc|² d³x
Δᵢ=∫(|ψ|²−ρ)d³x
τ(z)=τ₀(1+z)^{-p}
Στ(O)
∇·O ≤ θcollapse
θshear=3/L²
□Ψc+∂V/∂Ψc=0
ℬ(τ)
dℬ/dτ=-κ dM/dτ
Z=∫𝒟Ψc𝒟τ e^{iS}
R̄^τμν=∫G R^τ
mf=λ∫Ψcf
[τ̂,Ĥ]=iℏ
μν]=iℏδ
GTRQC
μ
BH=δR^τ
Susable=∫log((τcore−τ₀)/Δτ)
χμ(x)=Oμ(x)
ψ(x)=∫Ψcη_ε…
ΣBH
Δrec=∫|Ψⁿ⁺¹−Ψⁿ|²
αᵢ(τ)=⟨F²⟩Στ
SBH∼k log(A/Δτ)
𝒮(ω)=ω³/(e^{ω/(γℬ+δR)}−1)
ℛΨc=Ψ+∫K(δR^τ−αℬ)Ψ
BH⋅||∇τ||
DQEC
Σ: ∇Ψc→0
collapse
geffμνμν+α₁∇Ψ∇Ψ+α₂∇τ∇τ
∇²τ
ΣτL d³x
β R^τ
κ R[geff]
∂²Ψ/∂t²−∂²Ψ/∂x²
δℒ/δΨ=0
μOμ
w(x;O,τ)
|ψ|²
DBH
gauge
F^aμνF^{aμν}
Yij=∫ψ̄ᵢΨψⱼ
[Â,Π]=iℏ
collapse
uk(x)
ak,ak
τ
τ̂ eigenstates
Πμ(O)
Dμ^{(Π)}
fermion
Yf
k log(A/Δτ)
μR^τμν
δR[geff]
ΠQEC[Ψ,O,τ,ℬ]
Tμνeff
ZTRQC
Master
Ṡ > 0
|dℬ/dτ|∝(∇τ·∇τ)^{-1}
Στ
DQEC≠∅
zthreshold
τ-stack
Topological quantization
Observer horizon
Projection domain
Collapse PDE
TRQC
ΠQEC
Ψc(xμ)
Oμ(xν)
τ(xμ)

Timeline-Relative Quantum Collapse

TRQC is a proposed framework for linking quantum collapse, geometry, and the Standard Model. It is an early-stage, speculative project: derivations and predictions in the current papers are preliminary and still being tested.
Collapse is Built Into the Universe

In TRQC, collapse isn’t treated as something that occurs only when an observer is present. It is proposed as part of the universe’s underlying structure. The way space, time, and observation interplay in the framework suggests that collapse may be an inherent feature of the terrain-time architecture. Observers, when present, simply align with one of the already available paths the framework provides.

Time is Terrain-Based and Layered

In TRQC, time isn’t modeled as a single universal clock. Instead, it is treated as part of the underlying terrain: layered, structured, and locally defined. This picture offers a way to think about how events unfold and why certain horizons or collapse boundaries appear, without introducing additional rules beyond the terrain-time geometry itself.

Explores Physics from First Principles

TRQC outlines a framework that aims to reproduce key features of known physics, such as the Standard Model structure, fermion families, quantum probabilities, and spacetime behavior, from a small set of geometric assumptions.

Reshaping Our View of Reality

By grounding collapse, time, and observation in its geometric structure, TRQC offers a different way to think about everything from the origin of matter to the evolution of the cosmos. Rather than relying on added assumptions, the framework explores how these phenomena might arise from its core principles, providing a clear path for future derivations and testable predictions.

Papers

The TRQC white papers collected here represent the working record of the framework as it has developed. Each paper establishes intellectual priority for key ideas and provides a transparent, evolving foundation for continued testing, refinement, and verification. These documents are active research notes, not finalized publications, and their contents will continue to evolve as derivations strengthen, simulations mature, and the mathematical structure is refined.

Timeline-Relative Quantum Collapse (TRQC): Full Mathematical Framework and Emergence Structure (v1.2)

Open

The TRQC Unified Lagrangian in Covariant Form (v1.1)

Open

Empirical Forecasts of Timeline-Relative Quantum Collapse (TRQC) (v1.1)

Open

Collapse-Curvature Feedback in TRQC: Functional Variation of Emergent Geometry (v1.1)

Open

TRQC: The Geometry of Collapse Projection and the τ-Stack Structure (v1.1)

Open

Timeline-Relative Quantum Collapse (TRQC): Formalization of Projection, Collapse Curvature, and Observer Quantization (v1.1)

Open

Timeline-Relative Quantum Collapse (TRQC): Continuity Statement and Canonical Mathematical Foundation (v1.1)

Open

Timeline-Relative Quantum Collapse (TRQC): Canonical Derivation and Mathematical Foundation (v1.3)

Open

Timeline-Relative Quantum Collapse (TRQC): Subject Matter Expert Reference Manual (v1.1)

Open

TRQC Standard Model Completion: Post-Canonical Derivations of Flavor, Anomaly and Gauge Dynamics (v1.1)

Open

The Four Structural Derivations of TRQC Standard Model, Flavor Multiplicity, Probabilistic Emergence, and Spacetime Geometry (v1.1)

Open

The Hopf-τ Scaffold Topological Origination of Collapse Layer Geometry in TRQC (v1.2)

Open

Timeline Relative Quantum Collapse - Step B - Canonical Transport Null Geodesics and GR Recovery (v1.0)

Open

The Structural Axioms of Timeline-Relative Quantum Collapse (TRQC) (v1.0)

Open

Timeline-Relative Quantum Collapse (TRQC) Structural Derivations Across Renormalization, Confinement, Information, and Cosmology (v1.0)

Open

Timeline-Relative Quantum Collapse (TRQC) - Exact Recovery of General Relativity through 4PN Order (v1.0)

Open

Empirical Predictions of Timeline-Relative Quantum Collapse (TRQC) for Euclid and Rubin (v1.0)

Open

Contact

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