Energy fixes the speed
The controlled kinetic energy belongs to the moving neutral emitter. It is not a reconstruction of the discharge potential.
QUANTUM EVIDENCE / MOVING EMITTERS
Collect hydrogen light behind a perforated cathode. Swing the receiving arm from forward to backward, record the shifted and stationary components and estimate the kinetic energy of the moving atoms.
Schematic geometry · enlarged gaps and components · colors and moving markers do not represent visible light or measured trajectories. Drag to orbit.
EXPOSURE / TWO INDEPENDENT COUNTS
Each coordinate has a signal exposure and a separate reference: whole-line monitor. Exposure time controls Poisson noise; scan playback is accelerated.
Ready. Predict, then acquire.
Recorded points
Moving-line shift · source
Atom speed · source
ACQUIRED SPECTRUM / COUNTS PER SECOND
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Teal: source expectation. Gold: acquired rates with fitted Poisson standard deviations, once a fit exists. Purple dashes: inference from records. Gray dots: saved run. Background is included.
Click or drag to move the probe; its slider supports keyboard input. The vertical scale follows the data.
INFERENCE / JOINT POISSON LIKELIHOOD
Inferred atom kinetic energy
Inferred source rate
Deviance per degree
Stationary-only alternative
Gold: signal residuals. Blue: reference residuals. Known width, viewing angle, analyzer or stationary fraction, and background; unknown source rate and target field or energy. At least sixteen distinct probe positions are required. Descriptive residuals and deviance do not establish identifiability, confidence intervals or discovery significance.
Save a full or partial run with settings and seed in this page session.
| # | Signal | Whole-line monitor |
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Latest six points shown. CSV includes all raw counts, exposures, settings, units and seed. Changing the probe never changes acquired records.
Atoms travel along scene positive x. The angle is measured in the laboratory between this velocity and the photon path to the counter. Forward observation shifts the moving line upward in frequency, backward observation downward. At a right angle the retained time-dilation shift is much smaller than the selected linewidth; a visually merged spectrum can give a weak or boundary estimate.
The discharge and perforated cathode show how positive precursors feed a downstream emitting beam. The optical emission model is neutral hydrogen, not a bare proton spectrum. The input is the neutral atom kinetic energy, not a measured discharge voltage. Neutralization and excitation are only indicated, with no collision, charge-exchange or precursor mass-to-charge inference.
A rounded 486.3 nm vacuum wavelength represents an isolated Balmer-like transition, not an isotope or fine-structure centroid. The hydrogen mass is the proton-plus-electron mass with binding mass neglected. The moving line uses exact relativistic Doppler kinematics at the laboratory collection angle. An independent stationary component has a selected fraction of the photons collected in this arm, not a solved discharge population. Beaming and angular throughput are absorbed into that chosen fraction and source rate.
Both components have the selected Gaussian FWHM; there is no velocity distribution or angle acceptance integration. Each spectral channel integrates 0.15 THz. A whole-line reference bypasses the spectral selector along the same optical arm. The counter receives light; the atoms continue to a separate beam stop. The apparatus is schematic and does not reconstruct Stark’s historical tube, plates, data or interpretation of emitting charge states.
Independent Poisson exposures, fixed calibrated background and stable source. No drift, dead time or calibration uncertainty. The source follows the displayed model; successful recovery validates the simulator, not the historical discovery.
Physics tutorial
BackgroundCollect hydrogen light behind a perforated cathode. Swing the receiving arm from forward to backward, record the shifted and stationary components and estimate the kinetic energy of the moving atoms.
Why it mattersA line becomes evidence only through a measurement and a stated response model.
Start with the essentials
The controlled kinetic energy belongs to the moving neutral emitter. It is not a reconstruction of the discharge potential.
Angle is between atom velocity and the outgoing photon in the laboratory frame. A right-angle view retains the small transverse red shift.
The stationary fraction is independently known in this inverse problem. Both components are integrated over each calibrated channel.
Background is independently known. Source rate and the spectral parameter are jointly inferred; reference uncertainty is included. Counts are never Gaussian-rounded.
Typical misconceptionA good fit independently confirms the law used by the simulator.
Better mental modelThe source response is supplied. Parameter recovery validates this synthetic measurement loop. Descriptive deviance and residuals are not confidence intervals, significance tests or external scientific certification.
Scan, save the counts and inspect the fitted energy.
What to observe: A fixed component and a shifted component share the recorded spectrum.Choose the backward view and acquire a new spectrum.
What to observe: The shifted component crosses to the negative-frequency side; atom velocity still points forward.Compare transverse collection and the no-moving-emitter preset.
What to observe: Transverse resolution is weak. With no moving photons the energy is unidentifiable and no estimate is reported.