Load: Incandescent bulb
Wired in series with the copper halo circuit.
Wired in series with the copper halo circuit.
OFF — no induced current
Outer mantle
Inner core
Magnetic field
Copper halo
Light bulb load
Outer ω
0.00 rad/s
Inner ω
0.00 rad/s
RPM (outer)
0 rpm
Total L
0.00 kg·m²/s
B-field (rel.)
0.00 arb.
Induced I
0.00 A
Sim Time
0.0 s
Reality Check — how true is this thought experiment?
What maps well to laboratory reality
• Conservation of angular momentum between a spinning outer body and a viscously coupled inner core is exact in the idealised two-body limit.
• A high-vacuum chamber with magnetic or mechanical low-friction bearings does allow multi-hour to multi-day coast-down times; residual gas drag is the dominant loss, just as modelled.
• A stationary copper loop placed outside the chamber will experience a changing flux from any rotating transverse magnetic moment and will therefore carry an induced current (Faraday). The light bulb lights only while dΦ/dt is non-zero.
• The electromagnetic reaction (Lenz) on the rotor is real but extremely weak for a single-turn, loosely coupled laboratory loop — exactly as implemented. The mechanical energy lost to I²R heat is correspondingly tiny, so the flywheel still coasts for a long time.
What remains idealised / educational
• Magnetic field source: the solid inner core is treated as permanently magnetized (or fitted with a small permanent magnet / current loop). Because the design contains no liquid outer core, a self-excited MHD dynamo cannot operate and is not claimed.
• The field is therefore a rotating permanent dipole; its strength is constant (apart from a negligible residual modulation). Only the orientation changes with the core’s angular velocity.
• Geometric coupling factor κ and the absolute scale of B are chosen so that induced currents are visible on a desktop display; absolute values remain relative, not absolute SI.
• Higher-order multipoles and polarity reversals are omitted — they require a fluid dynamo that this hardware does not possess.
Bottom line
Within the constraints of this exact rigid-body vacuum-flywheel design, every process that is claimed is physically real: conservation of angular momentum, residual gas drag, Faraday induction in the external copper loop, Lenz reaction, and energy conversion from mechanical kinetic energy into I²R heat. The magnetic field is supplied by a permanent dipole attached to the inner core — the only mechanism that can actually function in this apparatus.
What maps well to laboratory reality
• Conservation of angular momentum between a spinning outer body and a viscously coupled inner core is exact in the idealised two-body limit.
• A high-vacuum chamber with magnetic or mechanical low-friction bearings does allow multi-hour to multi-day coast-down times; residual gas drag is the dominant loss, just as modelled.
• A stationary copper loop placed outside the chamber will experience a changing flux from any rotating transverse magnetic moment and will therefore carry an induced current (Faraday). The light bulb lights only while dΦ/dt is non-zero.
• The electromagnetic reaction (Lenz) on the rotor is real but extremely weak for a single-turn, loosely coupled laboratory loop — exactly as implemented. The mechanical energy lost to I²R heat is correspondingly tiny, so the flywheel still coasts for a long time.
What remains idealised / educational
• Magnetic field source: the solid inner core is treated as permanently magnetized (or fitted with a small permanent magnet / current loop). Because the design contains no liquid outer core, a self-excited MHD dynamo cannot operate and is not claimed.
• The field is therefore a rotating permanent dipole; its strength is constant (apart from a negligible residual modulation). Only the orientation changes with the core’s angular velocity.
• Geometric coupling factor κ and the absolute scale of B are chosen so that induced currents are visible on a desktop display; absolute values remain relative, not absolute SI.
• Higher-order multipoles and polarity reversals are omitted — they require a fluid dynamo that this hardware does not possess.
Bottom line
Within the constraints of this exact rigid-body vacuum-flywheel design, every process that is claimed is physically real: conservation of angular momentum, residual gas drag, Faraday induction in the external copper loop, Lenz reaction, and energy conversion from mechanical kinetic energy into I²R heat. The magnetic field is supplied by a permanent dipole attached to the inner core — the only mechanism that can actually function in this apparatus.
Status
Idle — ready to spin up
Actions
Magnetic Field (Geodynamo)
Accurate to this design: the solid inner core carries a permanent (pre-magnetized) dipole. Because there is no liquid outer core, no self-sustaining MHD dynamo can operate. The field simply rotates with the core; Faraday induction in the external copper loop remains fully physical.
Copper Halo + Bulb (Faraday + Lenz)
Stationary copper loop + series bulb. Changing flux → EMF → current. Lenz’s law applies an opposing torque whose magnitude is set by the (realistically small) mutual inductance of a laboratory-scale single-turn loop; electrical energy is therefore paid for by a correspondingly small drain of mechanical energy.
Initial Conditions
Vacuum & Drag
Lower residual pressure → weaker gas drag → longer coast.
Core Coupling (Earth-like)
Mass / Inertia Scale
Physics Notes (accuracy)
Rotation (accurate)
Io αo = −c(ωo−ωi) − b ωo − τLenz/2
Ii αi = +c(ωo−ωi) − τLenz/2
Total L conserved when b=0 and I=0. Residual gas drag slowly removes L (Earth analogue: tidal friction).
Magnetic field (accurate to this rigid-body design)
This apparatus has a solid inner core and no fluid outer core. A self-sustaining MHD geodynamo is therefore impossible.
The model treats the inner core as carrying a permanent (or pre-magnetized) dipole moment. The field rotates with the core; its strength is essentially constant.
Faraday induction in the external copper loop and the resulting Lenz reaction are fully physical and energy-consistent.
Induction (Faraday + Lenz, closed)
Φ ≈ κ · B · cos(θ) (transverse dipole → oscillating flux through planar loop)
EMF = −dΦ/dt → I = EMF / R
Lenz torque τLenz ∝ −EMF opposes the change, draining kinetic energy into I²R heat. Energy is consistent; no free energy.
Remaining simplifications
• Core treated as rigid (real outer core is fluid)
• Single dipole, no multipoles or polarity reversals
• External copper loop is a weak laboratory-scale pickup; mutual inductance (and therefore Lenz torque) is realistically small, so coasting remains long — as it would be with a real single-turn loop around a desktop rotor.
Io αo = −c(ωo−ωi) − b ωo − τLenz/2
Ii αi = +c(ωo−ωi) − τLenz/2
Total L conserved when b=0 and I=0. Residual gas drag slowly removes L (Earth analogue: tidal friction).
Magnetic field (accurate to this rigid-body design)
This apparatus has a solid inner core and no fluid outer core. A self-sustaining MHD geodynamo is therefore impossible.
The model treats the inner core as carrying a permanent (or pre-magnetized) dipole moment. The field rotates with the core; its strength is essentially constant.
Faraday induction in the external copper loop and the resulting Lenz reaction are fully physical and energy-consistent.
Induction (Faraday + Lenz, closed)
Φ ≈ κ · B · cos(θ) (transverse dipole → oscillating flux through planar loop)
EMF = −dΦ/dt → I = EMF / R
Lenz torque τLenz ∝ −EMF opposes the change, draining kinetic energy into I²R heat. Energy is consistent; no free energy.
Remaining simplifications
• Core treated as rigid (real outer core is fluid)
• Single dipole, no multipoles or polarity reversals
• External copper loop is a weak laboratory-scale pickup; mutual inductance (and therefore Lenz torque) is realistically small, so coasting remains long — as it would be with a real single-turn loop around a desktop rotor.