Geometric Signature in Vacuum Response: A Topological Approach to Physical Intermittency LAF v1.5

Contemporary physics relies on highly successful domain-specific theories, yet many observed phenomena across scales share recurrent qualitative features: thresholds, intermittence, delayed responses, coherence breakdowns, and regime transitions.These features often resist unified interpretation because they are treated through distinct formalisms, variables, and assumptions depending on the physical domain. This thesis introduces LAF Geo, a qualitative, falsifiable, and scale-agnostic framework designed to interpret physical phenomena through the notion of geometric response regimes of an effective medium.Rather than proposing a new fundamental interaction or modifying existing equations, LAF Geo acts as a diagnostic and organizational layer, focusing on how physical systems negotiate structural constraints imposed by their environment. The central postulate is that the effective medium (vacuum, field, or environment) does not respond to point-like entities, but to geometric configurations: symmetry, closure, stratification, coherence, and topological complexity.Physical processes are thus interpreted as negotiations between attempted structural transitions and the cost of their acceptance by the medium. Within this framework, four generic response regimes are identified—fluid, dissipative, carrying, and blocking—together with three acceptance thresholds governing local existence, global coherence, and hidden stratified dissipation.These concepts are formulated independently of microscopic mechanisms and remain compatible with established theories (quantum mechanics, statistical physics, magnetohydrodynamics, BCS theory, and classical gravity). The framework is confronted with heterogeneous datasets across domains.At the atomic scale, multi-layer ionization thresholds and spectral broadenings are reinterpreted as regime transitions rather than isolated energetic events.In space plasmas, in-situ magnetospheric measurements (MMS/Cluster) provide direct falsification tests through the separation of local activity and global reconfiguration.In condensed matter, superconductivity is analyzed as a stringent coherence test distinguishing local pairing from global phase locking.Finally, an observational application to galactic rotation curves (SPARC sample) demonstrates that abandoning global universal parameters in favor of regime-based interpretation resolves apparent inconsistencies without invoking ad hoc fitting. The results do not claim a unified theory of matter, gravity, or cosmology.Instead, they demonstrate that a geometric-regime perspective consistently organizes disparate phenomena, clarifies where standard descriptions succeed or fail, and provides explicit falsification criteria.LAF Geo thus offers a transferable conceptual tool for diagnosing physical systems across scales, highlighting where coherence is permitted, delayed, supported, or structurally forbidden by the medium.