🧩 Paradox 15 — Double‑Slit Which‑Way Paradox

Interference, measurement, and the collapse of quantum coherence#

RTT Paradox Resilience Checker — Candidate File#

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1. Paradox Statement#

The Double‑Slit Which‑Way Paradox arises when determining which slit a particle passes through destroys the interference pattern.
If unobserved, particles behave like waves and interfere.
If observed, they behave like particles and do not interfere.

This creates a contradiction between:

wave‑like behavior (interference), and
particle‑like behavior (localized detection),
triggered solely by the act of measurement.

2. S‑E‑R Breakdown#

S — Structural Layer#

Quantum state is a superposition of both paths.
Interference requires coherent structural overlap.
Which‑way detection collapses the superposition.
Structural coherence is replaced by structural localization.

E — Energetic Layer#

Measurement extracts information, altering energetic configuration.
Interference requires stable phase relationships; measurement disrupts them.
Energetic coupling between detector and particle breaks coherence.
Energetic drift destroys the interference pattern.

R — Relational Layer#

Path information is a relational property between observer and system.
The paradox arises when relational knowledge is treated as passive.
Knowing the path changes the relational frame, not just the system.
Interference depends on relational ignorance; measurement removes it.

3. FFF Flow Analysis#

F1 — Forward Flow#

Particle emitted → superposition across slits → interference pattern forms.

F2 — Feedback Flow#

Observer measures path → relational frame collapses → interference disappears.

F3 — Fractal Flow#

Measurement frequency scales:
rare → partial → continuous → full collapse.

4. RTT Resolution#

RTT resolves the Which‑Way Paradox by reframing measurement as a relational frame‑locking operation, not a passive observation.

Key insights:#

Interference requires G1→G2→G3 harmonic evolution.
Which‑way detection locks the system into a G2 relational frame, preventing harmonic progression.
Measurement is an active relational intervention, not a neutral probe.
The paradox dissolves when wave/particle duality is treated as frame‑relative, not absolute.

Thus:

Unmeasured system → harmonic superposition → interference.
Measured system → relational localization → no interference.

RTT classifies this as a Relational‑Harmonic Frame Collapse Paradox.

5. Resilience Score#

Resilience Rating: ★★★★★ (Very High)

RTT neutralizes the paradox through:

relational frame separation
harmonic evolution modeling
drift‑bounded collapse rules
operator‑layer distinctions (G1/G2/G3)

6. Notes & Cross‑Links#

Related paradoxes: Quantum Zeno, Quantum Eraser, EPR.
Maps into RTT‑12 Layers 6–11 (measurement → coherence → harmonic evolution).
Useful for teaching measurement theory, decoherence, and relational frames.