Artian Inertial Mass Operator and Three-Readout Spectral Equivalence Theorem
Abstract
When does the coefficient in Newton's second law become a finite spectrum rather than an inserted input? The paper constructs the source operator before any laboratory mass is supplied: \[ \hat B_{\mathcal R}=\sum_{p\in\mathfrak P_{\mathcal R}}\iota_p\!\left(\frac{\hat Q_p^{\rm vis}}{2\pi}\right)=\frac{\hat H_{\rm rest}}{E_*}=\frac{\hat M_{\rm in}}{m_*}=\frac{\hat M_{\rm pass}}{m_*}=\frac{\hat M_{\rm active}}{m_*}. \] The same finite spectrum is read as Hamiltonian curvature, inertial mass, passive gravitational response, active endurance source, rest energy, and existence-work rate. Newton's F=Ma coefficient is the low-momentum Hessian of a populated source branch, not an independently inserted mechanical parameter. Scientific result: a QTT zero-fit source-explanatory victory for quantized inertia. Spectral operators and Hamiltonian curvature are standard mathematics. The A6-funded, A7-normalized completed-event operator and its three physical readouts are QTT-native. The theorem closes the operator, its positivity and capacity bounds, composite binding transport, and active-passive-inertial equivalence inside the declared source class. It does not claim that every Standard Model mass eigenvalue has already been populated from source law. Verification: all 11 inherited operator and mutation checks pass.
Fields of Study & Subjects
Quantum Mechanics and Applications
Advanced Thermodynamics and Statistical Mechanics
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 25 August 2026
- Language
- EN
- Document type
- Preprint