Mass is enclosed Τ-density
Every particle with rest mass is a Τ-enclosure: a region in which Τ-flow circulates in a closed loop, creating a standing Τ-density that manifests as inertia. There are exactly three scales of Τ-generator: the Higgs field boundary (subatomic), the atomic nucleus (atomic), and the Sun (stellar). Each is separated from the next by the cascade constant K = 2⁷×3⁵ = 31,104.
Scale ratios are exact K-cascade steps: r_nuc/r_Higgs ≈ K, r_Sun/r_nuc ≈ K²
P-TGEN Series
Mass is enclosed Τ-density: m = ρ_Τ × V_enc. A massive particle is a region where Τ-flow has closed into a self-sustaining loop. Rest mass equals the Τ-density integrated over the enclosure volume.
The Higgs field boundary is the innermost Τ-generator: it closes Τ-flow at the subatomic register and defines the minimum non-zero rest mass. The Higgs mechanism is the Τ-enclosure mechanism.
The atomic nucleus is the intermediate Τ-generator: it encloses Τ-flow at the atomic register. Nuclear binding energy is the Τ-density released when nucleons form a shared enclosure. The strong force is the Τ-closure force.
The Sun is the stellar-scale Τ-generator: it does not merely radiate energy but generates Τ-flow that propagates outward through the heliosphere, maintaining the orbital registers of all planets. The solar photosphere is the outer wall of the stellar Τ-enclosure.
The three fermion generations (electron/muon/tau, up/charm/top, down/strange/bottom) are time-domain identities: they correspond to the three Τ-generator levels. The electron is the Higgs-register fermion, the muon is the nuclear-register fermion, and the tau is the stellar-register fermion.
The mass ratios of fermion generations follow K-cascade scaling: m_muon/m_electron ≈ 206.77 ≈ K^(2/3), m_tau/m_electron ≈ 3,477 ≈ K^(1). These are not free parameters but structural consequences of the three-generator cascade.