Independent Scalar-Field Derivation of the Charged-Lepton Mass Hierarchy and a Remap-Settling Model of Inertia in EAS

This paper is archived as a speculative research work. This paper presents a class-limited EAS model that derives an electron-normalized charged-lepton mass hierarchy from scalar-field motif structure without using the empirical electron, muon, or tau masses as inputs. The central result is a topology-to-report construction in which nested lepton-like motif records generate the values Rₑ = 1, Rₘu ≈ 206. 7694658750, and Rₜau ≈ 3477. 30354917. The empirical charged-lepton ratios are used only as comparison targets after these report values have been generated; they are not used to select the motifs, tune coefficients, determine the endpoint-locking law, or set an absolute scale. The construction begins with three nested scalar-field motif records. The electron-like record is the base sheet; the muon-like record retains the electron sheet and adds a new attached sheet; the tau-like record retains the muon sheet and adds a further attached sheet. From this nested motif family, the paper derives a coherent remap-echo backbone B (k) = sum (q²), a non-common-mode quartic tail D₄ (k) = sum (q⁴) -1, a family-anchored endpoint-locking coefficient, and a phase-specific settling multiplier. These terms assemble into an amplitude report A (k, K) = B (k) + D₄ (k) * cₗock (k, K) * s (k), whose electron-normalized square gives the charged-lepton-facing hierarchy. The result is a relative mass-report theorem, not a derivation of dimensional physical masses as primitive scalar-field quantities. A second central result is a scalar-field model of inertia as remap-settling nonclosure. A remap attempt at a boundary-to-dressing contact injects a scalar-value/sign mismatch into a bounded support with fixed associations. That mismatch propagates through the association record and must settle before a new path-facing contact transfer can be admitted without defect. The completion burden P (k) = B (k) + D₄ (k) therefore measures the topology-determined remap-settling burden of the bounded record. A premature second contact transfer produces a nonzero SOO boundary defect. Inertia is modeled here as scalar-value/SOO inadmissibility of premature remap reset, not as a primitive force, a physical-time delay, or a fitted mass parameter. The paper also records a supporting remap-cycle Lorentz chart theorem. With SOO cycle count t, path-facing remap count x, photon-like branch reports x = ±t, and no primitive scalar-field simultaneity, homogeneous completed-trace charts preserving both branches have the Lorentz form and preserve t² - x². This Lorentz-facing result is report-level and supporting. The main result of the paper is the independent topology-derived charged-lepton hierarchy together with the associated remap-settling model of inertia.