φCoherent · Telluric-Resonant MHD Designer

Scale Preset

Great Pyramid — storm telluric, mercury, 100 km span

Input Source

—

Source Type

Telluric Field E_t

1.00 V/km

Quiet: 1–10 mV/km · Storm: 0.1–5 V/km

Ground Contact Span L

100 km

V_oc = E_t · L — requires two earth contacts. Lab: two rods · Site: buried plates · Giza: aquifer shaft + geological dam.

Ground Conductivity σ

0.500 S/m

Dry rock: 0.01 · Soil: 0.1 · Aquifer: 0.5–5 S/m

Ground Contact Radius a

10.0 m

Sets contact resistance R = 1/(π·σ·a). Rod: 1–5 cm · Stake: 0.5 m · Shaft: 10–100 m

Target / Drive Frequency

Chopper Stage

—

Supply Source Resistance R_s

5 mΩ

Resistance of the full supply path between the two contacts. Giza dam geology: ~5–42 mΩ · buried cable: µΩ · rocky terrain: Ω–kΩ

Switch / Reactor Loss

59 kW

Resonant Vessel

—

Working Fluid

Vessel Length L_v

1.98 m

f_empty ∝ 1/L_v · Giza uses the coffer aspect (W=0.34L, D=0.44L); the engineered vessel is squarer (W=D=0.50L)

Fill Tuning

MHD Transducer

—

Magnetic Field B

1.30 T

N52 NdFeB array: 1.0–1.5 T typical

Channel Radius r

4.0 mm

Ha = √(σ·B²·r²/η) — target Ha > 50 for organized plug flow

Active Volume V_act

100 cm³

P_Faraday = σ·v²·B²·V/4 (byproduct alternator)

Cavity Q_d

9320

King's Chamber sealed = 9320 · open granite ~300 · self-start ε_c = 2/Q_d

Broadcast

—

Harmonic Order

Containment Unit

—

Wall Material

Wall Thickness

30 cm

Cavity Mode

L_cav = n · c_gas / (2·f_bell)

Interior Gas

MHD Core — Coffer Cut-away · drag to orbit · scroll to zoom —

granite coffer (sealed vessel) · Mercury working fluid · fill = 78% · auto-tuned · lodestone cage + crown (permanent field across the width, no coil) · lid arc-electrodes · B-field · wireless EMF output (when running) · telluric clock · resonance bell · plasma arc (when all conditions met) · outer granite containment box (wireframe — EM-transparent)

System Pipeline —

Frequency Alignment —

Design Checklist 0 / 5

Telluric tap — V_oc ≥ 10 mV —

Input power — P ≥ 1 µW —

Bell resonance — Δf ≤ 5% off f_t —

Hartmann regime — Ha ≥ 10 —

MHD chop signal — V_emf ≥ 100 nV —

Containment — EM transparent & Q ≥ 100 —

Source & Vessel

Open-Circuit Voltage

—

V_oc = E_t · L

Source Resistance

—

R = 1/(π·σ·a)

Matched Input Power

—

P = V²/(4R)

Empty Bell Freq

—

unloaded vessel

Loaded Bell Freq f_bell

—

Fill Used

—

MHD & Broadcast

Hartmann Number

—

Ha = √(σB²r²/η)

Acoustic P_ac

—

resonant buildup est.

Streaming Velocity (amplified)

—

Rayleigh × g_coupled = —

Faraday Byproduct EMF

—

v·B·L — alternator signal, not the main output

Faraday Byproduct Power

—

σv²B²V/4 — parasitic, µW-range

Switch Loss

—

paid from supply

MHD Chopper — Primary Output

P_matched = V_oc²/(4R_s)

—

supply power at R_s

Net Chopper Output

—

broadcast power at f_bell

Broadcast Frequency

—

λ = —

Acoustically Resonant Containment Unit —

Required Cavity Length L_cav

—

n · c_gas / (2 · f_bell)

EM Skin Depth δ

—

δ = √(2ρ_e/ωμ₀) at f_bell

Transparency Ratio δ/t_wall

—

want ≫ 1 (≥ 100 = lossless)

Wall Acoustic Reflectance

—

R ≈ 1 → energy stays in cavity

Cavity Acoustic Q

—

material property

Impedance Ratio Z_wall/Z_gas

—

≫ 1 → acoustically reflective walls

MHD Chopped Waveform —

The oscillating liquid-metal (gold) chops the telluric DC baseline (dashed cyan) at f_bell, producing an AC electromagnetic output (green) at f_broadcast. At ELF, ground-wave coupling dominates free-space radiation — λ ≈ — km, Earth-scale propagation.