Informational_Phase_Space_Paper_One (2).pdf

We propose a novel framework in which G¨odel-like spacetime structures arise as emergent informational phases within a broader class of quantum systems governed by temporal correlation geometry. Building on the Temporal Correlation Cosmology (TCC) paradigm—where space is reconstructed from sequential quantum measure ment correlations—we extend the model to incorporate bidirectional temporal dynam ics and higher-dimensional Clifford algebraic structures. We demonstrate that under conditions of rotationally biased or cyclically dominant transitions among observables, a G¨odel-type metric, characterized by global rotation and closed causal curves, can emerge without assuming an underlying spacetime background. Crucially, we hypothesize that spatial dimensionality itself is a phase-dependent property of the internal structure of temporal correlations. By generalizing from single-qubit systems to entangled multi-qubit or qudit ensembles, we identify a mechanism whereby the dimensional signature of emergent space depends on the rank and symmetry of the correlation matrix. This implies that observable properties—such as the 3D Euclidean structure or G¨odelian rotation—may not be fundamental constants of nature, but informational attractors within a broader quantum-causal manifold.

Finally, we conjecture that if our universe lies within the interior of a rotating black hole, as proposed by certain models of black hole cosmology, the inherited frame dragging could manifest as informational vorticity within the system’s underlying time correlations, naturally favoring G¨odel-like emergence at macroscopic scales. This unified framework merges causal symmetry, quantum measurement theory, and cosmological rotation into a single emergent account of spacetime, with potential observational tests via anisotropies in large-scale temporal entanglement networks.