General covariance within each layer,
An extended principle of cosmic variance across layers,
Observational bounds when the interference term is subdominant at late times (i.e., 1\varepsilon \ll 1).
B. Topological Interference Modeled via Phase-Entanglement Between Layers
To capture the nonlocal correlations and interlayer entanglement across distinct cosmological domains, we formulate a topological interference field interf\Phi_{\text{interf}} arising from phase entanglement between adjacent spacetime layers.
We define the global interference field as:
interfexp[i(x)]d4x\Phi_{\text{interf}} \sim \int \exp\left[i \theta(x)\right] \, d^4x
where:
(x)\theta(x) is the topological phase function defined over spacetime point xx, encoding geometric and quantum information from all layers intersecting at or influencing point xx,
The integral is taken over a 4-dimensional spacetime volume, possibly across multiple embedded layers.
1. Phase Function (x)\theta(x) Construction
