Philosophy of Discrete Being: Foundations and Structural Architecture

Philosophy of Discrete Being: Foundations and Structural Architecture develops the foundational ontology underlying the FDB program. The framework replaces continuous geometric assumptions with a structural view grounded in discreteness, coherence, and the stability of localities under GTG-driven updates.

The paper introduces the core primitives of FDB:

• localities as self-sustaining discrete units governed by internal metamodels,

• ontic distance as a structural measure of compatibility,

• coherence boundaries and acts of coherence as mechanisms of interaction,

• the Global Tick Generator (GTG) as a universal ordering source that precedes temporal concepts,

• multi-local structures that arise through repeated coherence-preserving alignment.

Temporal behavior is treated as an emergent reconstruction from coherence rates and synchronization patterns, rather than as a primitive dimension. Distributed interactions are described without fields or geometric propagation, using ontic-distance dynamics and coherence pressure to characterize stability in multi-local systems.

The paper also clarifies the structural relationship between FDB and Coherent Observational Epistemology (COE), showing how ontological and epistemological coherence form a two-layer architecture for modeling complex distributed systems.

Applications are outlined across physical, informational, biological, cognitive, and socio-technical domains, demonstrating that the principles of discrete coherence generalize beyond any specific scientific field.

The work concludes with a research roadmap, including a future axiomatic formulation and open structural problems in discrete ontology.