Three Electrostatic Hypotheses, Tested

Quartz veins, Martian saltation and Titan dunes, against published measurements

Compiled: 31 October 2026 Prepared for: Toby Mikle Source batch: 29 New Hypotheses — Unconventional Sources (31 Oct 2026), entries H15, H12, H18 Status: three tests run; one partly supported, one conditionally supported, one refuted


0. What this is

Three hypotheses from the newest bundle were selected because each makes a number that can be checked against published measurements without a new instrument. Each was turned into a model with explicit parameters, run as a Monte Carlo over the published ranges, and judged against its own falsifier. The code, the parameter registry and the results are in this folder.

The short answer: the Martian claim survives, the quartz claim survives only in the strongest ruptures, and the Titan claim does not survive at all.

Test Hypothesis Decisive number Verdict
01 H15 Quartz Lightning Rod 0.57 MV/m median; 17 MPa needed Conditional
02 H12 Mars Dust Battery 4.0 × 10⁻⁷ W/m² median Partly supported
03 H18 Titan Dune Capacitor 0.05 s retention Refuted

1. H15 · The Quartz Lightning Rod

Piezoelectric quartz veins in fault zones generate charge during rupture. The charge concentrates at vein tips and triggers corona discharges in the surrounding air, producing earthquake lights.

The claim, as a number

If a rupture drops the shear stress on a quartz vein by Δτ, the piezoelectric polarization is P = d26 Δτ. The bound charge on the vein faces is σ_b = P, and the field in the air just outside a charged face is the sheet field

E_air = g · σ_b / (2 ε₀)  =  g · d26 · Δτ / (2 ε₀),

where g is a geometric concentration factor (g = 1 for a flat face, up to ~3 for a sharp outcrop). The hypothesis is met if E_air reaches the breakdown field of air, 3 MV/m.

Parameters

Quantity Value used Source
d26, quartz 3.1 pC/N (range 2.3–4.6) Bechmann (1958); class-32 relation d26 = −2d11
Stress drop log-normal, median 3 MPa, σ_ln = 0.8 Allmann & Shearer (2009)
Breakdown, air at 1 atm 3.0 MV/m (2.5–3.5) standard
Geometry factor g 1 (flat) to 3 (sharp outcrop) bounding assumption

The d26 range carries a real ambiguity: the class-32 piezoelectric matrix gives |d26| = 2|d11| = 4.6 pC/N, while thickness-shear values near 3.1 pC/N are also in use. The test runs the whole 2.3–4.6 pC/N range rather than choosing.

Result

Quartz field versus stress drop

Verdict: conditionally supported

The mechanism is not generic. For the median earthquake it fails by a factor of five. It works only where a rupture is strong (Δτ ≳ 6–17 MPa, depending on outcrop sharpness) and the vein tip is sharp. That combination is rare but not unphysical: the stress-drop tail above 10 MPa is populated, and quartz veins do outcrop as ridges and slickensided faces.

Two things push the result down, and both are conservative in the right direction. First, the charge is bound, not mobile: unlike a lightning rod, a quartz vein cannot redistribute charge to a tip, so g cannot be arbitrarily large. Second, the surrounding rock and the finite vein thickness reduce the external field relative to the sheet estimate. The g = 3 case should therefore be read as an upper bound.

What would settle it

A field or corona measurement at a real quartz outcrop during a M ≳ 5 rupture, or a laboratory shear test on a quartz vein analog at 10–30 MPa with a field probe at the tip. The hypothesis predicts a threshold, so a null result at 30 MPa would kill it cleanly.

Scope note: this test checks the mechanism, not the hypothesis’s statistical half — the claim that light flashes correlate with quartz-vein abundance and slip rate. That needs an earthquake-light catalog, which is not machine-readable here.


2. H12 · The Mars Dust Battery

A grounded conductor in a Martian dust devil can harvest triboelectric charge. The current scales with saltation flux and grain size, producing >10 nW m⁻² during a vortex passage.

The claim, as a number

Treat the saltation layer as a weakly conducting slab of height h with conductivity σ and vertical field E. Charge is supplied by the grains at j_charge = χΦ (charge-to-mass ratio times mass flux) and carried by the plasma at j_cond = σE. In steady state the smaller current limits what a grounded plate can draw:

j = min(χ Φ, σ E),      P/A = η · j · E · h.

Kok & Renno (2009) showed that the field in Martian saltation self-limits at 15–20 kV/m: field ionisation raises the conductivity, which bleeds the charge away. That number, not the Paschen limit of 43 kV/m, is the ceiling. The hypothesis is met if P/A > 10 nW/m² (and its own falsifier asks for >1 nA).

Parameters

Quantity Value used Source
Field E 15–25 kV/m Kok & Renno (2009)
Conductivity σ 10⁻¹³–10⁻¹⁰ S/m, nominal 10⁻¹² Kok & Renno (2009); Farrell et al. (2021)
Layer height h 0.1–0.5 m (z_cat = 30 cm) Kok & Renno (2009)
Charge-to-mass χ 10⁻⁶–10⁻⁴ C/kg laboratory saltation range
Mass flux Φ 10⁻⁶–10⁻³ kg m⁻² s⁻¹ saltation range
Load fraction η 0.10–0.40 matched load

Result

Mars power and current

Verdict: partly supported

The power-density half of the claim passes with a wide margin. The current half does not, at any benchtop scale: the hypothesis’s own 1 nA detection threshold requires a collector of several square metres. That is a real engineering constraint, not a technicality — a 1 cm² plate sees picoamps, which is at the edge of low-leakage electrometry.

There is also a physical tension inside the hypothesis. It says the current “scales with saltation flux”, but the field self-limits because the conductivity rises with E. In the high-flux regime the current is set by the plasma, not by the sand; the scaling flattens. The model reproduces that: above χΦ ≈ σE the current stops growing.

What would settle it

A Mars-pressure saltation experiment that measures χ for the relevant grain size, and a field measurement in a Martian dust devil. The power margin is large enough that the remaining question is collection geometry, not physics.

Scope note: this test checks the energy budget, not the claim that “the discharge rate, not the dust density, is the controlling variable”. Testing that needs the time-resolved current during a vortex passage, which no published Mars dataset has.


3. H18 · The Titan Dune Capacitor

Titan’s dune sands are charged to 10⁵–10⁶ V m⁻¹ and retain charge for months. The dunes act as giant capacitors.

The claim, as a number

A bed of permittivity ε_r and conductivity σ relaxes free charge with the dielectric time τ = ε_r ε₀ / σ. The field decays as E(t) = E₀ exp(−t/τ). The hypothesis needs τ ≳ 1 month = 2.6 × 10⁶ s at 10⁵–10⁶ V/m.

Parameters

Quantity Value used Source
Surface conductivity 4 × 10⁻¹⁰ S/m (10⁻¹¹–10⁻⁹) Grard et al. (2006), Huygens PWA
Surface permittivity ~2 (1.8–2.6) Huygens PWA
Lower-atmosphere conductivity 10⁻¹⁴ S/m (10⁻¹⁶–10⁻¹²) Lorenz (2021)
Claimed retention 1–12 months H18

Result

Titan relaxation time

Verdict: refuted

There is no version of the measured Titan surface that holds a field for months. The nuance worth stating is that the Huygens value is itself contested: Lorenz (2021) argues the high conductivity and its sudden drop 11 minutes after landing were caused by the probe’s radioisotope heater units ionising the air around it. That caveat does not rescue the hypothesis. If the surface is as insulating as clean ice, the atmosphere above it still relaxes charge in minutes; to reach months the atmosphere would have to be below 10⁻¹⁸ S/m, which is far below any measured planetary atmosphere.

The capacitor analogy fails for a second reason: the dunes are not being continuously charged. Titan’s surface winds are ~1 m/s, near or below the saltation threshold, so there is no sustained charging current to replace what leaks away. A dune that both leaks in seconds and is not being charged cannot accumulate a seasonal charge.

What would settle it

A laboratory measurement of the conductivity of Titan dune analog (tholin-coated organic sand) at 94 K and low pressure. If it came out below 10⁻¹⁸ S/m the claim would reopen; nothing measured so far is within seven orders of that.


4. What the three tests say together

All three hypotheses are about the same competition: charge separation versus relaxation. The differences are in the medium.

Setting Conductivity (S/m) τ = εε₀/σ Is the field driven? Outcome
Quartz vein ~10⁻¹⁶ (dry insulator) ~5 days yes, during rupture charge survives, but is too small
Mars saltation layer ~10⁻¹² ~9 s yes, continuously steady field at 15–20 kV/m
Titan dune 4 × 10⁻¹⁰ 0.05 s no charge cannot accumulate

The Mars case passes because the charging is continuous: a 9-second relaxation time is irrelevant when grains are delivering charge every second. The Titan case fails because the claim is about storage: a 0.05-second relaxation time destroys any seasonal capacitor, and the wind is too weak to replenish it. The quartz case sits in between: the medium holds charge for years, but the piezoelectric charge density at ordinary stresses is simply too small to break down air.

That is the useful generalisation from this batch: a charge-separation hypothesis needs both a long relaxation time and a charge source matched to the observation time. H18 has neither; H15 has the first but not the second at typical stress; H12 has both because it never needs to store anything.


5. Limits

6. Files

File What it is
tests/01-quartz-vein/code/model.py H15 model: analytic field, Monte Carlo, deterministic table
tests/02-mars-saltation/code/model.py H12 model: current-limited harvest, Monte Carlo
tests/03-titan-dune/code/model.py H18 model: relaxation time, required conductivity
tests/*/out/results.json every number quoted above
shared/params.json parameter registry with source keys
shared/make_figures.py rebuilds the three figures
figures/ fig01 quartz, fig02 mars, fig03 titan
literature/ the source papers used