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Proposal: A Mosaic-Manifold Framework for Emergent Classicality and Phase-Cyclic Cosmology

Posted 2 hours ago

Note: This is a revised submission. I have updated the content to explicitly connect my conceptual framework with Wolfram Language structures and hypergraph theory to better align with the Community's technical focus.

I am sharing a conceptual framework I’ve developed titled "Fundamental Coherence 3.1: A Mosaic-Manifold Framework for Emergent Classicality, Time, and Coherence-Mediated Dynamics."I have no formal academic training in physics beyond secondary school, but I have spent years in self-directed study of the structures that define our universe. I’ve reached a point where I need the rigorous feedback of this community to see if my logic regarding "Phase-Cyclic Cosmology" holds any weight. Core Concepts: The Mosaic-Manifold: Reality as a stabilized attractor state in a coherence field.Phase-Cyclic Cosmology: A universe that cycles through "Shatter" (chaotic) and "Freeze" (ordered) phases. Coherence Dynamics: Gravity as a result of coherence relaxation gradients. Computational Implementation via Wolfram Model To translate these concepts into the Wolfram Physics Project framework, I propose modeling the Mosaic-Manifold as an emergent property of a directed hypergraph.1. Definitions: Coherence Capacity ( $\Phi_c$): Defined as the Edge Density of the spatial hypergraph. Interaction Throughput ( $\Phi_f$): Represented by the density of the Causal Graph.2. Proposed Wolfram Language Simulation: The transition from a "Shatter" phase to a "Freeze" phase can be explored by monitoring Graph Invariants over successive generations. Below is a conceptual starting point for visualizing this transition: Code snippet(* Basic Wolfram Model evolution to observe manifold-like emergence *) rule = {{x, y, z}, {x, w, v}} -> {{w, y, z}, {v, w, x}, {z, v, y}}; init = {{1, 2, 3}, {2, 3, 4}}; steps = 10;

Resource Function ["Wolfram Model"][rule, init, steps, "States Plots List"] By analyzing the Vertex Count List and Edge Count List, we can search for the $\Phi_c$ threshold where a chaotic hypergraph begins to exhibit the properties of a smooth manifold. I am looking for a "spark" of viability. If this logic is fundamentally flawed, I value the honesty of the community in pointing out why. If it has merit, I would be honored to see it further developed.

Sincerely, Nikola Kranjčević

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