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A Trumpet-Geometry Tesla Resonator to Test the QMU Carrier Mapping

Authors: Thomson, David;

A Trumpet-Geometry Tesla Resonator to Test the QMU Carrier Mapping

Abstract

This dataset contains the LaTeX source and supporting materials for a buildable, falsifiable experiment that tests a core prediction of the Quantum Measurement Units (QMU) framework using a tapered “trumpet” Tesla resonator. The apparatus adiabatically transforms base current into top-load voltage, enabling simultaneous, same-device measurements of an electrostatic carrier $q=C_{\text{top}}\,V_{\text{pk}}$ and a magnetic-mode carrier proxy $Q=\kappa\,I_{\text{pk}}$. The central, geometry-independent hypothesis is\[Q^{2}=\frac{q^{2}}{8\pi\alpha}\]for electrons. A positive result would empirically exhibit the same fixed geometry factor that underlies the QMU channel identity $A_u=16\pi^{2}k_C$, strengthening the case that electrostatic and RMFD channels are two readouts of a single driver. The paper provides: (i) complete construction specifications for the trumpet secondary (flare law, turn schedule, topload sizing, tolerances), (ii) standard-operating procedures to calibrate $C_{\text{top}}$ via low-power VNA fitting and $\kappa$ via base $B_\phi(r,z)$ mapping, (iii) high-power measurement protocols with a formal “streamer gate” to ensure data are taken in a confinement regime (minimal corona), (iv) an uncertainty budget with explicit propagation to $\alpha_{\text{extracted}}$, and (v) a conventional electromagnetic benchmark based on tapered transmission-line modeling that predicts a geometry-dependent ratio\[\frac{\kappa^{2}I_{\text{pk}}^{2}}{C_{\text{top}}^{2}V_{\text{pk}}^{2}}=\mathcal{F}\!\left[\text{geometry, coupling, loss}\right].\]Thus, observation of a universal constant $1/(8\pi\alpha)$ across power levels and geometries would falsify the benchmark and support the QMU mapping. Implications for the original program are made explicit: with $Q^{2}=q^{2}/(8\pi\alpha)$ validated, the QMU ledger links the channel constants and the driver through\[A_u=\frac{\text{Gforce}\,{\lambda_C}^{2}}{{e_a}^{2}},\qquadk_C=\frac{\text{Gforce}\,{\lambda_C}^{2}}{16\pi^{2}{e_a}^{2}},\]so $A_u=16\pi^{2}k_C$ and\[\text{Gforce}=\frac{16\pi^{2}k_C\,{e_a}^{2}}{{\lambda_C}^{2}}.\]

The document includes ready-to-build dimensions, BOM guidance, and calibration steps for $C_{\text{top}}$ and $\kappa$. Data-quality controls require operation with no visible streamers; frames with corona or RF bursts are gated out. The uncertainty propagation reflects that $\alpha_{\text{extracted}}\propto q^{2}/Q^{2}$; the relative-error contribution from $C_{\text{top}}$, $V_{\text{pk}}$, $\kappa$, and $I_{\text{pk}}$ therefore carries an overall factor of $4$. The benchmark derived from Maxwell’s equations (tapered transmission-line model) provides the “null-hypothesis” geometry dependence against which the universal constant is tested. Acceptance criteria require flatness of $\alpha_{\text{extracted}}$ versus drive power and invariance across secondary/topload geometries within the stated uncertainty budget.

Paper updated with Author name and organization.

Related Organizations
Keywords

trumpet Tesla coil, electrostatic carrier, tapered resonator, fine-structure constant, magnetic carrier

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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