Paper 50D (v1.0): Quantum Zero Leap Theory — Operator Gates, Measurement Backaction, and the Zeno Constraint

Zero Leap Theory Series — Foundational Derivation

Paper 50D resolves Problem 14.8 from Paper 50 (Mathematical Foundations) by deriving Zero Leap Theory constraints from established quantum mechanical theorems.

Key results:
- Uncertainty-based floor on joint gate observability (Robertson-Schrödinger)
- Measurement backaction as theorem via Lüders update
- Quantum Zeno Effect as physical implementation of via negativa
- Decoherence as mechanism for alignment degradation (Lindblad dynamics)

Canonical Case Validation: Section 12 applies the framework to Google Sycamore surface code data (Nature 2023). All predictions match experimental results.

Includes supplementary Python code for verification of all calculations.