Stable Excitations in ECSM: Matter as Localised Response of the Stability Functional

The Emergent Condensate Superfluid Medium (ECSM) framework treats observed physical behaviour as the coherent-limit response of a finite-response medium. Previous ECSM papers developed a pre-law ontology, a taxonomy of surviving law, a coherence-response threshold, and a schematic stability functional F[Q] whose stable attractors select coherent response regimes. This paper develops the next step: the definition of matter-like excitations as stable finite-energy localised response configurations of F[Q]. The paper proposes that matter should not be inserted into ECSM as an external primitive. Instead, matter-like behaviour arises when the stability functional admits nontrivial localised minima Q_loc != Q_vac with finite energy, perturbative stability, coherent transport, and closure under response. A central role is played by the localisation threshold. Using the ECSM finite-response structure, a localised excitation of size l and internal velocity scale v has drive time tau_drive^loc ~ l/v, giving chi_loc = 1/[1+(v tau_resp/l)^2]. Localisation becomes favoured when coherent transport across the excitation cannot keep up with internal reconfiguration. The paper also develops the bipolar matter bridge. If the primitive response state decomposes into paired branches Q=(Q_+, Q_0, Q_-), then charge-like behaviour may arise from branch imbalance, while neutral composites correspond to closure conditions. Finite occupancy and exclusion-like behaviour are interpreted as possible consequences of finite response capacity per branch. The aim is not to derive the full Standard Model, but to establish the minimum ECSM conditions under which mass, inertia, charge-like imbalance, neutral closure, and composite stability can be treated as consequences of localised minima of F[Q].