Trinsic Theory — Interactive Sandbox
Emergence of 4D spacetime from informational collapse in a pre-geometric quantum substrate
v1.0 · working draft
T-space collapse visualizer
Hyperposed state vectors drift through T-space until amplitude exceeds the Higgs threshold, then collapse onto the actualized 4D manifold, etching spacetime geometry.
P(collapse) ∝ ∇I(Ψ_T) · Θ(|Ψ| − ε_Higgs)
14
42%
90
Hyperposed (T-space)
Collapsing
Actualized (spacetime)
Information gradient field
The actualized manifold generates an information potential ℐ extending into T-space, biasing collapse probability. Gravity is the 4D projection of this gradient — not a fundamental force, but a boundary effect.
G_μν ≈ 𝒫(∇ℐ) — gravity as projected information gradient
60
35
22
Low ∇ℐ (hyperposed, uncollapsed)
High ∇ℐ (collapse likely)
Mass source
Quaternion basis selector — Lorentzian signature emergence
A T-space state |Ψ_T⟩ = a·1 + b·i + c·j + d·k carries no preferred timelike direction. Collapse selects a basis orientation — the red axis acquires the (−) Lorentzian signature. The 4D structure of spacetime falls out of quaternion algebra necessarily.
|Ψ_T⟩ = a·1 + b·i + c·j + d·k → collapse selects timelike axis → signature (−,+,+,+)
30°
20°
5
1 (scalar)
i
j
k
Timelike axis (selected at collapse)