We construct localized matter-core solutions within the Scalar Temporal Field Ontology (STFO), in which time is modeled as a dynamical scalar field τ (x^μ). Using a spherically symmetric ansatz, we derive the effective energy functional governing static configurations, including gradient, elastic, and self-interaction contributions. We show that finite-energy cores arise from a balance between temporal gradient compression and elastic resistance terms, yielding stabilized configurations without singularities. This work establishes a concrete mechanism for matter as localized temporal structure and forms the foundation for subsequent analysis of bound modes and atomic-scale phenomena within STFO.
Cale Scott Howe (Sat,) studied this question.
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