Synaptic Hypodissolution and Progressive Field Collapse: A Field-Theoretic Account of Alzheimer's Disease Progression

This preprint presents a formal field-theoretic model of Alzheimer's disease progression developed within the Kinematic Energy PHramework (KEPH). The model introduces the concept of synaptic hypodissolution — the regime in which the cognitive field's crystallization capacity falls below the threshold required for stable memory formation — and formalizes the three clinical stages of AD (MCI, early AD, advanced AD) as three formal regimes of decreasing crystallization capacity. Aβ oligomers and hyperphosphorylated tau are identified as suppressors of distinct formal parameters (λREK and M respectively), producing multiplicative degradation of the crystallization threshold. Three verifiable predictions are generated: a threshold-dependent repetition requirement in MCI; sleep-quality-mediated crystallization recovery independent of amyloid burden; and a tau-stage × treatment interaction in anti-amyloid clinical trial outcomes. Version 2 updates terminology from KEF to KEPH, adds falsifiability statement to predictions section, and completes Statements and Declarations per JAD guidelines. *