where the interference potential takes the form:
Vinterf()=eff(1cos(x))V_{\text{interf}}(\theta) = \Lambda_{\text{eff}} \left(1 - \cos \theta(x) \right)
This potential is reminiscent of axion-like fields, where minima correspond to constructive interference (alignment of phases) and maxima to destructive interference.
This term modulates:
Effective cosmological constant contributions in different layers,
Fluctuation correlations in primordial fields,
Preferred directions or asymmetries in cosmic structure formation.
5. Observable Consequences
Topological interference fields manifest in various observational signatures:
Large-angle alignments in the CMB power spectrum (e.g., low-\ell anomalies),
Phase-correlated fluctuations in density and temperature across disjoint regions,
Anisotropic cosmic birefringence induced by phase-warped propagation of electromagnetic waves,
Non-Gaussianities due to inter-layer decoherence effects in early inflationary perturbations.
Additionally, the phase coupling can mediate entanglement entropy flow between layers, offering a new route to understanding dark energy as an emergent coherence pressure.
6. Connection to Holography and Quantum Gravity
Our interference field formulation is consistent with holographic principles:
The cross-layer phase structure can be interpreted as entanglement-induced holographic stitching, as proposed in ER=EPR conjectures and AdS/CFT dualities.
The integral ei(x)d4x\int e^{i\theta(x)} d^4x resembles partition functions over topologically inequivalent paths, extending the no-boundary proposal with layered contributions.
This framework opens possibilities for quantum information geometry as a backbone of cosmological topology.
We have formulated a topological interference field interf(x)\Phi_{\text{interf}}(x) to encapsulate nonlocal coherence across multilayered spacetime domains. This field derives from geometric phase differentials among layers and enters gravitational dynamics via an effective interference potential. Its theoretical structure and observational implications provide a crucial bridge between high-energy topological physics and cosmic-scale anomalies, supporting the broader paradigm of a dynamically entangled multiverse.
