
ChronoCell: A Discrete Substrate Theory of Emergent Gravity and Matter ChronoCell is a foundational theoretical framework in which gravity, matter, horizons, and gauge fields emerge operationally from the local synchronization dynamics of a discrete cellular substrate. The theory replaces a continuous spacetime manifold with a neighborhood graph G = (V, E) of interacting vacuum cells. Each cell carries an internal cycle characterized by a rhythm τ (cycle duration) and a phase φ (cycle position). Physical space is identified with graph connectivity, while time is defined operationally as accumulation of local cycles. An ideal synchronized configuration (τ_i = τ_0, φ_i = const) serves as a reference state with no operational observables. Physics begins when synchronization fails beyond a finite communication threshold ε_sync, producing persistent inhomogeneities of the rhythm field τ(x). These inhomogeneities define: • energy as mismatch cost, • mass as persistent localized energy (m = E / c²), • an irreversible arrow of time as a consequence of locality and relaxation. Gravitation arises without postulating geometric spacetime curvature. A rhythm-based redshift factor is defined as Z = τ / τ_inf, with an associated potential ψ = ln(τ / τ_inf). In the weak-field regime this yields an effective gravitational potential Φ = −c² ψ and acceleration g = −∇Φ, reproducing Newtonian dynamics and gravitational time dilation. Horizons are defined operationally as loss of connectivity in the viable-communication subgraph G_ok, rather than as spacetime singularities. Matter is described as stable topological defects of the phase field (vortex loops) carrying quantized winding q ∈ Z and exhibiting a finite stable size R*. Gauge fields emerge from phase differences on graph edges via a discrete exterior calculus formulation, reproducing Maxwell-type dynamics in the long-wavelength limit. This Zenodo record contains: • The complete Master Theory document (Chapters 1–11), defining the ontology, emergent dynamics, and validation gates. • Supplementary Appendices with geometric realizations, discrete calculus tools, and a detailed simulation and falsification roadmap. ChronoCell is designed to be empirically testable and falsifiable, with explicit validation protocols for gravity, electrodynamics, defects, and horizon formation.
emergent gravity, discrete spacetime, cellular vacuum, quantized defects, operational time, horizons, gauge fields, foundations of physics, discrete physics, topological defects, rhythm dynamics, digital physics, discrete exterior calculus, cellular substrate
emergent gravity, discrete spacetime, cellular vacuum, quantized defects, operational time, horizons, gauge fields, foundations of physics, discrete physics, topological defects, rhythm dynamics, digital physics, discrete exterior calculus, cellular substrate
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