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

The World's First Theory of Everything that derives the Standard Model, 3 Generations of Fermions, the Born Rule and Spacetime Geometry all from First Principles.
Collapse is Built Into the Universe

In TRQC, collapse isn’t something triggered just because someone is watching: it’s woven into the very fabric of the universe. The way space, time, and observation fit together makes collapse an inevitable part of reality’s architecture. Even without a conscious observer, the structure of the terrain-time framework ensures events resolve into definite outcomes, and when an observer is present, they simply align with one of those already-formed paths.

Time is Terrain-Based and Layered

In TRQC, time isn’t a single ticking clock for the whole universe, it’s part of the landscape itself. Imagine a layered terrain, where each layer represents a stage in how reality unfolds. Events occur according to where they are in this landscape, not by some outside stopwatch. This structure naturally explains things like cosmic horizons and where collapse can happen, without needing to tack on extra rules.

Derives Physics from First Principles

TRQC reproduces the Standard Model, the three generations of fermions, the Born Rule, and the structure of spacetime directly from its core framework. These outcomes emerge naturally from the theory’s foundations without adding arbitrary constants or patchwork fixes, making TRQC a true candidate for a complete Theory of Everything rather than just another unification attempt.

Reshaping Our View of Reality

By grounding collapse, time, and observation in the universe’s underlying structure, TRQC changes how we understand everything from the origin of matter to the farthest reaches of the cosmos. It replaces speculation with derivation, giving us a clear, testable framework for phenomena that existing theories can only guess at.

Papers

TRQC: Full Mathematical Framework & Emergence Structure

Open

The TRQC Unified Lagrangian in Covariant Form

Open

Empirical Forecasts of TRQC

Open

Collapse–Curvature Feedback in TRQC

Open

TRQC: Geometry of Collapse Projection & τ-Stack Structure

Open

TRQC: Finalization of Projection & Observer Quantization

Open

TRQC: Continuity Statement & Canonical Foundation

Open

TRQC: Canonical Derivation & Mathematical Foundation

Open

TRQC: Subject Matter Expert (SME) Reference Manual

Open

TRQC Standard Model Completion

Open

The Four Structural Derivations

Open

Hopf–τ Scaffold: Topological Origination of Collapse Layers

Open

Contact

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