The True Nature of Quantum Tunneling, Non-Signal Control Theory, and the PQ (Perception Quantum) Unified Model

Abstract

This paper presents a fundamental re-examination of quantum entanglement and nonlocality beyond the explanatory scope of conventional quantum theory, through the introduction of a newly proposed framework: No-Signal Control Theory (NSC theory).

The core of this work is the discovery that a quantum state is not fully characterized within a conventional single-layer Hilbert space, but instead must be expressed within a two-layer Hilbert space:

where

• represents the observable layer, and
• represents the structural layer.

Using IBM Quantum real devices, the following experimentally reproducible phenomena—difficult to explain within standard quantum mechanics—were confirmed:

• Nonlocal Hadamard switching: the H gate changes the remote qubit’s measurement probability from to , acting as a nonlocal structural switch.
• Order dependence of the CNOT gate: the measurement distribution changes significantly depending on whether the control and target qubits are swapped.
• Structural stability differences between the NS (north–south) and EW (east–west) basis states,
  .

These results collectively demonstrate that remote operations do not transmit information, but do transmit structure—a distinction essential for compatibility with the no-signaling principle.