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, nonlocality, and the limits of standard quantum mechanics by introducing a new theoretical framework: No-Signal Control Theory (NSC theory).
The approach proposes that a quantum state cannot be fully described within a conventional single-layer Hilbert space. Instead, it must be formulated within a two-layer Hilbert-space structure, consisting of:

• an observable layer, and

• a structural layer.

This two-layer Hilbert space model provides a unified explanation for several reproducible IBM Quantum device experiments that challenge standard interpretations of quantum mechanics. These experimentally confirmed and highly repeatable effects include:

• Nonlocal Hadamard switching: the H-gate changes a remote qubit’s measurement probability (from 0→1/2 or 1→1/2), acting as a nonlocal structural switch without transmitting classical information.

• CNOT order dependence: the measurement distribution shifts significantly depending on whether the control and target qubits are swapped, indicating a structural asymmetry not accounted for by standard quantum theory.

• NS/EW basis stability asymmetry: distinct stability differences between the north–south (NS) and east–west (EW) basis states, demonstrating the presence of a hidden structural layer.

Collectively, these results suggest that remote operations do not transmit information but do transmit structure, preserving compatibility with the no-signaling principle while revealing a deeper mechanism behind nonlocal quantum behavior.
This also connects directly to the proposed PQ (Perception Quantum) Unified Model, which interprets quantum tunneling, CNOT asymmetry, and structural recoil within the same two-layer framework.

[Supplementary Material]

Title: Visual Guide to NSC Theory and the PQ Hypothesis

This supplementary document provides a visual and geometric interpretation of the proposed Two-Story Quantum Structure, complementing the theoretical and experimental results presented in the main paper.

Key Contents:

• Visualization of the Two-Layer Structure:
  Diagrammatic representations of the Observation Layer (“Window”) and the Structure Layer (“Arrow”).

• Physical Interpretation of Quantum Gates:
  How the Hadamard (H) gate rotates the observation layer, and how the CNOT gate copies structural directionality, creating asymmetric recoil effects.

• Mechanism of Recoil & Tunneling:
  Intuitive diagrams explaining the “structural recoil” in asymmetric CNOT operations and the time-reversal interpretation of quantum tunneling within the PQ unified framework.

This guide is intended to help researchers intuitively understand the physical mechanisms underlying NSC theory, PQ theory, and the proposed two-layer Hilbert-space formulation of quantum mechanics.