Superconducting Electron Pair Ledger in QMU: Aether Dipoles, Chronovibration, and Magnetic Cancellation

Abstract

In the Aether Physics Model (APM), each elementary particle is a distributed-charge excitation of an Aether unit with two electrostatic spheres and four magnetic loxodromes in five dimensions. The Quantum Measurement Units (QMU) system expresses all ledgers in terms of the base atoms $m_e$, $\lambda_C$, $F_q$, $e^2$, and ${e_\mathrm{emax}}^2$, with the Aether unit $A_u$ and the curl unit $\mathrm{curl}$ satisfying the rotational identity\[A_u \cdot \mathrm{curl} = {F_q}^2 {\lambda_C}^2.\] This article develops a complete QMU ledger for the superconducting electron pair. A superconducting pair is modeled as two electrons mutually occupying each other's positive electrostatic spheres, with their magnetic loxodromes polarly aligned so that south poles are adjacent and the chronovibrational Singularity lies between them. This configuration traps torsion internally, strongly suppresses the external curl, and leaves the Aether rotational identity intact. The QMU enrg unit and temp unit are defined by the electron rest-enrg and the Aether rotational ledger,\[\mathrm{enrg} = m_e {\lambda_C}^2 {F_q}^2,\qquad\mathrm{temp} = {F_q}^2 {\lambda_C}^2,\]so that all superconducting observables can be written without reference to SI/MKS units. For the superconducting pair we obtain\[m_{\mathrm{pair}} \approx 2 m_e,\qquadQ_{\mathrm{pair}} = 2 e^2,\]and introduce the magnetic cancellation parameter $\eta_{\mathrm{pair}}$ via\[\mathrm{curl}_{\mathrm{ext}}^{(\mathrm{pair})}= (1 - \eta_{\mathrm{pair}})\,\mathrm{curl}_{\mathrm{int}},\]with $\mathrm{curl}_{\mathrm{int}} \approx \mathrm{curl}$ for the combined Aether unit. This leads to an effective external magnetic charge\[e_{\mathrm{eff}}^2 = 2 (1 - \eta_{\mathrm{pair}})\, e_{\mathrm{emax}}^2,\]and a pair flux unit\[\mathrm{mflx}_{\mathrm{pair}}= \frac{m_{\mathrm{pair}} \lambda_C^2 F_q}{e_{\mathrm{eff}}^2}= \frac{\mathrm{mflx}}{1 - \eta_{\mathrm{pair}}},\]so that the pair becomes magnetically ``invisible'' as $\eta_{\mathrm{pair}} \to 1$. The pair binding enrg $E_{\mathrm{bind}}$ is written in units of $\mathrm{enrg}$,\[E_{\mathrm{bind}} = \beta_{\mathrm{pair}}\,\mathrm{enrg},\qquad0 < \beta_{\mathrm{pair}} \ll 1,\]and the superconducting transition is expressed as a ledger equality between the binding ledger and a chronovibrational thermal ledger,\[E_{\mathrm{th}}(\theta_c) = f_{\mathrm{th}}(\theta_c)\,\mathrm{enrg}\approx E_{\mathrm{bind}},\qquad\theta_c = T_c / \mathrm{temp},\]so that $f_{\mathrm{th}}(\theta_c) \approx \beta_{\mathrm{pair}}$ defines the critical temp in pure QMU. Material dependence is encoded in three dimensionless parameters:\[\eta_{\mathrm{pair}},\qquad\beta_{\mathrm{pair}},\qquad\Xi_{\mathrm{Aether}},\]where $\Xi_{\mathrm{Aether}}$ is an Aether–lattice coupling index that measures how well the lattice geometry supports positive-sphere mutual occupation, south–south loxodrome alignment, and chronovibrational phase locking along conduction paths. Using penetration-depth and gap-ratio data from conventional superconductivity experiments, the paper constructs two complementary QMU maps: 1. A superconductivity engineering map in terms of a composite pair exponent $\alpha_{\mathrm{pair}}(\eta_{\mathrm{pair}},\beta_{\mathrm{pair}})$, showing that A15 compounds, cuprates, and hydrides occupy distinct but ordered regions of the $(\eta_{\mathrm{pair}},\beta_{\mathrm{pair}})$ ledger space. 2. A superconductivity parameters plot in the plane\[\left(\sigma_{\mathrm{pair}}^{(T)},\, \sigma_{\mathrm{pair}}^{(\mathrm{iso})}\right),\]where $\sigma_{\mathrm{pair}}^{(T)}$ is a critical-temp–scaled pairing parameter and $\sigma_{\mathrm{pair}}^{(\mathrm{iso})}$ is an isotope-effect parameter. All known materials fall close to a universal straight line\[\sigma_{\mathrm{pair}}^{(\mathrm{iso})}\approx \sigma_A - \sigma_{\mathrm{pair}}^{(T)},\]with $\sigma_A$ a dimensionless constant. In the QMU interpretation this line is the shared superconducting pair ledger relating the projections of $\eta_{\mathrm{pair}}$, $\beta_{\mathrm{pair}}$, and $\Xi_{\mathrm{Aether}}$. The article closes with an experimental outlook formulated entirely in QMU, including chronovibrational sensitivity tests, Aether–lattice design heuristics, and a program for extracting $(\eta_{\mathrm{pair}},\beta_{\mathrm{pair}},\Xi_{\mathrm{Aether}})$ from future superconductivity data sets. All results are presented in QMU-only form, with SI/MKS appearing only as a secondary cross-check in the appendix.