TriadicFrameworks
Overview

Faraday Paradox Experiment (RTT‑Aware Protocol)

Overview#

This protocol reproduces the classical Faraday disk experiment and records results using the RTT‑Inside schema faraday_paradox_experiment.schema.json.
The goal is to measure EMF under three rotational configurations and annotate the results with triadic (Spin–Charge–Temperature) field conditions.

Objectives#

  • Measure EMF generated by a rotating conducting disk in a magnetic field.
  • Compare three configurations:
    1. Disk rotates, magnet fixed.
    2. Disk and magnet co‑rotate.
    3. Magnet rotates, disk fixed.
  • Record triadic conditions (spin bias, charge gradient, temperature profile).
  • Demonstrate RTT’s resolution of Faraday’s paradox via spin‑relative motion.

Equipment#

  • Conducting disk (copper or aluminum), known radius.
  • Permanent magnet (axial field, e.g., NdFeB).
  • Motorized rotational drive with RPM control.
  • Slip rings or brushes for center–rim EMF collection.
  • Voltmeter or DAQ system.
  • Tachometer (for RPM).
  • Hall probe (for magnetic field measurement).
  • Temperature sensor (optional).
  • Non‑magnetic mounting hardware.

Schema Mapping#

This protocol populates the following fields:

Schema Field Source in Protocol
experiment_id Assigned by operator
disk_material Disk specification
disk_radius_m Measured radius
rotation_rate_rpm Motor RPM
magnet_configuration Fixed / Co‑rotating / Rotating‑only
magnet_rotation_rate_rpm RPM of magnet (if applicable)
magnetic_field_tesla Hall probe measurement
triadic_conditions.spin_bias Normalized rotational coupling
triadic_conditions.charge_gradient Derived from EMF and geometry
triadic_conditions.temperature_profile Temperature rise or estimate
measured_emf_volts Voltmeter reading

Procedure#

1. Baseline Setup#

  1. Mount the conducting disk on a non‑magnetic shaft.
  2. Position the magnet so its field is axial through the disk.
  3. Connect:
    • Center of disk → slip ring → voltmeter.
    • Rim of disk → brush → voltmeter.
  4. Ensure all components are stationary.
  5. Record baseline EMF.

2. Case A — Disk Rotates, Magnet Fixed#

  1. Fix the magnet rigidly to the lab frame.
  2. Spin the disk at several RPM values (e.g., 100, 500, 1000).
  3. For each RPM:
    • Record rotation_rate_rpm.
    • Measure EMF.
    • Log triadic conditions:
      • Spin bias ∝ RPM.
      • Charge gradient ∝ EMF / radius.
      • Temperature profile (optional).

Expected: EMF increases with RPM.

3. Case B — Disk + Magnet Co‑Rotate#

  1. Mechanically couple the magnet to the disk.
  2. Repeat the same RPM series.
  3. Record EMF and triadic conditions.

Expected: EMF remains similar to Case A.

4. Case C — Magnet Rotates, Disk Fixed#

  1. Fix the disk; allow only the magnet to rotate.
  2. Spin the magnet at the same RPM values.
  3. Record EMF and triadic conditions.

Expected: EMF ≈ 0 (within noise).

RTT Interpretation Notes#

  • EMF arises from spin‑relative motion of charges through a substrate‑anchored field.
  • Co‑rotation of magnet does not eliminate EMF because the field structure does not “move” with the magnet.
  • Magnet‑only rotation produces no EMF because the conductor has no spin‑relative motion.

Data Recording#

All results should be stored as JSON instances of
faraday_paradox_experiment.schema.json.

See examples/faraday_paradox_example.json for a reference instance.

Safety Notes#

  • Ensure all rotating components are shielded.
  • Avoid contact with strong magnets.
  • Use insulated leads and proper grounding.
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