Internal Marker Formation in a Recurrent Physical Process: A Constructive Existence Proof within a Finite Lumped Electrical Model Domain

Abstract

This paper asks whether, within a restricted physical and methodological domain, a recurrent physical process whose first occurrence is externally initiated can generate a physical state that remains causally connected to a later state and, under fixed background conditions, is sufficient to initiate the same process or a predefined causal subsequence. The analysis is confined to D_W, a stated class of finite lumped electrical dynamical models with resistive and capacitive state variables, finite sources, and controlled switching and threshold components governed by explicit finite delays and hold intervals. The method is constructive. A particular admissible witness C★ = (O_ref, θ★, B★) is specified, and its explicit RC, loading, threshold, reset, and process dynamics are used to establish the four conjuncts of P(C★): internal generation, cross-occurrence physical continuity, later causal availability, and conditional causal sufficiency. Since C★ ∈ D_W and P(C★), existential generalization yields ∃C ∈ D_W : P(C). The result establishes physical admissibility within D_W only. Its sufficiency claim is state-relative and conditional on the fixed organization, ready-state class, schedule, component laws, sources, and timing bounds; it does not establish universality, necessity, autonomous construction or timing, semantic or functional interpretation, or architectural transition.