I28A. The Source of Life as a Generative Reality: A Dual Formalization of Its Cross-Domain Regularities and Their Dynamic Manifestation in Part–Whole Viability

I28A proposes a dual formalization of the Source of Life within Vitology. The first form is defined as: SoL-A — Architectural Formalization of the Source of Life. SoL-A represents the Source of Life as an open architecture of already recognized and operationalized regularities of viability with explicitly assigned scientific status. It is not a finite catalogue of laws. It contains: a Formalized Domain while allowing: a Not-Yet-Formalized Domain. A not-yet-formalized proposition does not enter the scientific architecture merely by being postulated. It must pass through: Definition ↓ Operationalization ↓ Testing ↓ Scientific Subtraction ↓ Independent Evaluation ↓ Scientific Status Assignment. The second form is defined as: SoL-G — Generative Formalization of the Source of Life. SoL-G is a stronger proposition. It hypothesizes that the unity of regularities is not merely a classification of known relations but may reflect a deeper generative structure of Reality. To test SoL-G, I28A introduces the Generativity Criterion: the generative architecture must allow new distinguishable and testable consequences to be derived before the result is known, and those consequences must not be fully reconstructed by the strongest justified established scientific model. The dual formalization is represented as: SoL-Dual = ⟨SoL-A, SoL-G⟩. The angle brackets indicate joint representation of two interconnected formalizations rather than arithmetic addition. Three relations are distinguished: FM — Formal Membership; ES — Empirical Status; GD — Generative Derivability. Therefore: FM ≠ ES ≠ GD. If a regularity has passed the established admission procedure and is incorporated into SoL-A, its membership in the architecture of the Source of Life is a formal property of the model. However: Formal Membership in SoL-A ≠ Empirically Confirmed Generative Origin from SoL-G. To connect the two lines, I28A introduces: Formal Documentary Registration — FDR; Formal Source–Manifestation Record — FSMR; Generativity Criterion; Blind Cross-Domain Generative Test; Residual Generative Information of the Source of Life — ΦSoL-G,R,D; Generative Surplus — ΔGEN; and: Generative Authenticity. I28A also formalizes the relation of the Source of Life to: Part–Whole relations; Meaning / Functional Directionality; State; Awareness–Alignment–Coordination; Action; spatial-chronal consequences; Regeneration; Residual Recovery Reserve; the Space of Viable Continuations; Synchro-Authenticity of the complete cycle; and the Vitological Synchro-Authentic Spatial-Chronal Unit of Eternity — E_VSA. Scientific status at formulation: S1 / L2 / R0 / OPEN. Keywords: Vitology; Source of Life; Regularities of the Source of Life; generative Reality; dual formalization; open architecture; Part–Whole relation; Scientific Subtraction; formal membership; generative derivability; distinguishable prediction; Synchro-Authenticity; Unit of Eternity; Field of Life; empirical authenticity.