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Probing the Deep Structure of Quantum Entanglement: A Superluminal Communication Experiment Based on 10-km Ion-Ion Entanglement

Lei Ding

Published Feb 20, 2026• 0 citations
Publisher

Abstract

The nonlocal correlations of quantum entanglement have been unequivocally confirmed by experiments, yet standard quantum mechanics regards them as a fundamental, irreducible phenomenon. This paper asks: is there a deeper physical structure underlying entanglement? We propose the Instantaneous Teleportation Cosmos (ITC) framework as a theoretical model for such a deep structure, interpreting entangled particles as dual manifestations of the same basal storage unit. This basal structure possesses four core properties: Storage Perfection (P1), Instantaneous Connectivity (P2), Mapping Determinacy (P3), and Manifestation Finiteness (P4). The main obstacle to superluminal communication lies in P4: the randomness of single-shot measurements prevents direct information extraction. However, P4 does not forbid changes in statistical distributions–local modulation at the sender modifies the boundary conditions of the basal storage unit; through P2, this instantly affects the receiver’s basal state; and according to P3, such a change in the basal state necessarily alters the probability distribution at the receiver’s manifestation layer, manifesting as a tiny shift ΔP in the single-party probability. Based on the breakthrough 10‑km ion‑ion entanglement platform, we propose an immediately realizable experimental scheme: using a 7σ confidence standard, we will detect the significance of ΔP via a two‑sample z‑test, and directly measure the response delay with high‑precision timestamps. If ΔP is significantly non‑zero and the delay is much smaller than the light‑travel time, it would provide the first experimental evidence for the deep structure of entanglement; if no signal is observed, we will place stringent upper bounds on ΔP, thereby imposing the strictest test of the no-signaling theorem to date and severely restricting the possible space for a deep structure. The scheme employs the White Rabbit protocol for sub‑nanosecond time synchronization and includes false‑positive elimination measures such as zero‑entanglement control and fiber‑length variation. All necessary techniques are now mature, allowing the experiment to be performed immediately. This experiment constitutes a decisive test for the deep structure of quantum entanglement; regardless of the outcome, it will deepen our understanding of quantum nonlocality and causality.

DOI
10.5281/zenodo.18795492

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The nonlocal correlations of quantum entanglement, famously described by Einstein as “spooky action at a distance”, have stood as one of the most profound and puzzling features of quantum mechanics since the 1935 EPR paper. Decades of increasingly sophisticated experiments, culminating in loophole-free Bell tests, have irrefutably confirmed that these correlations cannot be explained by any local hidden variable theory. Yet, standard quantum mechanics offers no deeper explanation for this nonlocality—it is simply accepted as a fundamental, irreducible feature of reality. The no-signaling theorem further asserts that this nonlocality cannot be harnessed for superluminal communication, as single measurement outcomes are fundamentally random. This paper challenges this conventional wisdom. It asks a question that strikes at the heart of physical reality: Is quantum entanglement truly fundamental, or is it the manifestation of a deeper, hidden structure? If such a structure exists, it must leave observable imprints. The Instantaneous Teleportation Cosmos (ITC) framework, developed throughout these chapters, proposes precisely such a deep structure: entangled particles are not independent entities, but two ports of the same basal storage unit—a non-spatial, absolutely existing reality from which our four-dimensional spacetime emerges. The ITC framework is built upon four core properties, each derived from first principles, experimental evidence, and rigorous logic: P1 (Storage Perfection): Information in the basal structure is perfectly preserved, never decaying or distorting. This property, rooted in the principle of information conservation, ensures that modulations can be accumulated over time. P2 (Instantaneous Connectivity): Basal nodes are connected without distance or delay. This property, directly motivated by the violation of Bell inequalities, explains the nonlocality of entanglement and provides the basis for the possibility of superluminal communication. P3 (Mapping Determinacy): The projection from a basal state to the statistical distribution in emergent spacetime is deterministic and injective (one-to-one). Determinacy ensures experimental reproducibility, while injectivity guarantees the fundamental distinguishability of different physical states—both prerequisites for science itself. P4 (Manifestation Finiteness): The manifestation of basal information in emergent spacetime requires a local time τ and yields random single outcomes. This property acts as the crucial barrier safeguarding causality, preventing the instantaneous connectivity of P2 from being used for single-shot information transmission, and ensuring compatibility with relativity. These four properties work in synergy. P2 guarantees that a local modulation can affect a distant party. P1 ensures that this effect is accumulable over multiple trials. P3 dictates that a change in the basal state must lead to a change in the statistical distribution at the manifestation layer. P4 explains that while single outcomes remain random, this statistical change manifests as a tiny, detectable shift ΔP in the single-party probability. The central, testable prediction of the ITC framework is that this shift is non-zero: ΔP≠0. This directly contradicts the no-signaling theorem of standard quantum mechanics, which asserts ΔP = 0. Deriving this necessity from the four core properties is a central theme of this theory. The structure of the paper mirrors this logical progression. 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The nonlocal correlations of quantum entanglement, famously described by Einstein as “spooky action at a distance”, have stood as one of the most profound and puzzling features of quantum mechanics since the 1935 EPR paper. Decades of increasingly sophisticated experiments, culminating in loophole-free Bell tests, have irrefutably confirmed that these correlations cannot be explained by any local hidden variable theory. Yet, standard quantum mechanics offers no deeper explanation for this nonlocality—it is simply accepted as a fundamental, irreducible feature of reality. The no-signaling theorem further asserts that this nonlocality cannot be harnessed for superluminal communication, as single measurement outcomes are fundamentally random. This paper challenges this conventional wisdom. It asks a question that strikes at the heart of physical reality: Is quantum entanglement truly fundamental, or is it the manifestation of a deeper, hidden structure? If such a structure exists, it must leave observable imprints. The Instantaneous Teleportation Cosmos (ITC) framework, developed throughout these chapters, proposes precisely such a deep structure: entangled particles are not independent entities, but two ports of the same basal storage unit—a non-spatial, absolutely existing reality from which our four-dimensional spacetime emerges. The ITC framework is built upon four core properties, each derived from first principles, experimental evidence, and rigorous logic: P1 (Storage Perfection): Information in the basal structure is perfectly preserved, never decaying or distorting. This property, rooted in the principle of information conservation, ensures that modulations can be accumulated over time. P2 (Instantaneous Connectivity): Basal nodes are connected without distance or delay. This property, directly motivated by the violation of Bell inequalities, explains the nonlocality of entanglement and provides the basis for the possibility of superluminal communication. P3 (Mapping Determinacy): The projection from a basal state to the statistical distribution in emergent spacetime is deterministic and injective (one-to-one). Determinacy ensures experimental reproducibility, while injectivity guarantees the fundamental distinguishability of different physical states—both prerequisites for science itself. P4 (Manifestation Finiteness): The manifestation of basal information in emergent spacetime requires a local time τ and yields random single outcomes. This property acts as the crucial barrier safeguarding causality, preventing the instantaneous connectivity of P2 from being used for single-shot information transmission, and ensuring compatibility with relativity. These four properties work in synergy. P2 guarantees that a local modulation can affect a distant party. P1 ensures that this effect is accumulable over multiple trials. P3 dictates that a change in the basal state must lead to a change in the statistical distribution at the manifestation layer. P4 explains that while single outcomes remain random, this statistical change manifests as a tiny, detectable shift ΔP in the single-party probability. The central, testable prediction of the ITC framework is that this shift is non-zero: ΔP≠0. This directly contradicts the no-signaling theorem of standard quantum mechanics, which asserts ΔP = 0. Deriving this necessity from the four core properties is a central theme of this theory. The structure of the paper mirrors this logical progression. Chapter 1 re‑examines the no‑signaling theorem, arguing that the existence of the basal structure changes the meaning of local operations—the operation modifies the boundary conditions of the shared storage unit, while the reduced density matrix is merely a projection of the basal state. Hence the theorem holds for finite samples but can be transcended in the infinite‑sample limit. Chapter 2 chains the four properties to rigorously derive that modulation inevitably causes a change ΔP≠0 in the receiver’s single‑party probability. Chapter 3 explores how the bipartite correlation information, lost in the partial trace of standard quantum mechanics, can leave an imprint as ΔP in single‑party statistics under the ITC framework. Theoretical predictions demand experimental tests. Chapter 4 designs an immediately realizable decisive experiment based on demonstrated 10-km trapped-ion entanglement capabilities. By accumulating 245,000 total events (122,500 inside the modulation window) over approximately 30 hours and using a 7σ confidence standard, the experiment will detect ΔP and measure the response delay. If ΔP is significantly non-zero and the delay is much smaller than the light travel time, it would provide the first evidence for a deep structure; if no signal is seen, the one-sided 95% confidence upper bound on ΔP will be constrained below 0.17%, providing the most stringent test of the no-signaling theorem to date. Chapter 5 synergizes the P5 property of SET theory with the π-pulse. By altering the content of the information cluster at the sender (Alice), the π-pulse generates the original probability shift ΔP₀, serving as the source of the signal. Meanwhile, P5 resonance at the receiver (Bob) excites the τ-mode, compressing the manifestation time τ. This reduces quantum fluctuation noise, increases the signal‑to‑noise ratio, and thereby enhances the detectability of ΔP—this process that does not change the signal itself but amplifies its distinguishability within the noise. Working in synergy, these two mechanisms bring ΔP to an experimentally detectable level, ensuring that even a weak initial signal can be reliably captured. This paper presents a coherent, self-contained theory that, starting from the first principles and core properties of ITC theory, predicts observable effects and designs a clear experimental path for verification. Whether the outcome confirms the existence of a deep structure or imposes a more rigorous constraint on the no-signaling theorem, the work herein represents a significant step in our relentless pursuit to understand the ultimate nature of reality.
The no-signaling theorem is a cornerstone of standard quantum mechanics, asserting that no matter what local operations Alice performs on an entangled particle, Bob’s reduced density matrix remains unchanged, thereby prohibiting superluminal communication. However, the Instantaneous Teleportation Cosmos (ITC) framework introduces a basal structure, interpreting entangled particles as dual manifestations of the same basal storage unit. This paper re-examines the scope of the no-signaling theorem from the perspective of the ITC framework. We argue that the existence of the basal structure alters the meaning of local operations—Alice’s operation modifies the boundary conditions of the shared storage unit at the basal level and, through instantaneous connectivity (P2), affects the entire unit. The reduced density matrix is merely a projection of the basal state onto the manifestation layer and does not contain all basal information. Therefore, the no-signaling theorem holds at the manifestation layer with finite samples, but can be transcended at the basal layer in the infinite sample limit—manifested as a tiny shift ΔP≠0 in the receiver’s single-side probability, detectable through statistical accumulation. This perspective provides a theoretical foundation for superluminal communication experiments, while causality is ensured by manifestation finiteness (P4).
The conflict between the nonlocality exhibited by quantum entanglement and the local causality required by the theory of relativity constitutes a core puzzle of modern physics. Based on the theory of the global Instantaneous Teleportation Cosmos (ITC), this paper proposes a fundamental solution to this conundrum. With the first principle that instantaneous (zero-latency) transmission is achievable between any two points in the universe, the ITC theory establishes absolute time and an absolute basal structure as the ultimate frame of reference for the universe. Within this framework, the three-dimensional continuous space we perceive is not a fundamental existence, but a phenomenon emerging from this non-spatial absolute basal structure. The nature of quantum entanglement is thus reinterpreted: entangled particles are not two independent entities, but two endpoints or projections of the same absolute basal structure in the emergent spacetime. A measurement is not an action at a distance, but a synchronous information readout of this basal structure. This paradigm revolutionarily resolves the logical dilemmas arising from the EPR paradox and the violation of Bell’s inequality, and provides a solid argument for the application of the ITC theory in the quantum domain. Ultimately, it unifies the black hole information paradox, cosmological puzzles and quantum nonlocality under the core insight that the cosmos is an instantaneously connected whole.
The nonlocality of quantum entanglement reveals instantaneous correlations that transcend classical spacetime, yet standard quantum mechanics merely accepts this as a brute fact without providing a deeper ontological explanation. This paper starts from a single irreducible first principle: matter, information, and energy can be transmitted with zero latency (instantaneously) between any two points in the universe. From this first principle, the Instantaneous Teleportation Cosmos (ITC) framework is constructed, and the nature of spacetime is redefined: spacetime is not ultimate reality but an emergent phenomenon projected from a deeper, non‑spatial basal structure. The basal structure possesses six basic properties—Storage Perfection (P1), Instantaneous Connectivity (P2), Mapping Determinacy (P3), Manifestation Finiteness (P4), Basal Resonance Tunability (P5), and Consciousness Coupling (P6). However, the framework lacks a rigorous axiomatic formulation and a precise mathematical model for these properties. This paper accomplishes two core tasks. First, we formulate P1–P6 as rigorous mathematical axioms, define the basal state space HB as a separable Hilbert space, prove the independence of the axioms, and derive the basal dynamical equation—the basal Schrödinger equation. Second, we propose a concrete mathematical model of the basal structure—a fully connected tensor network with a specific weight distribution and quantum state structure—and rigorously prove that this model naturally satisfies all requirements of these six properties. Within this framework, emergent spatial distance is shown to be proportional to the inverse of the weight, the maximally mixed state in standard quantum mechanics is a natural consequence of the network’s fully connected topology, and the graph Schrödinger equation converges to non-relativistic quantum mechanics in the continuum limit. This model provides a solid mathematical foundation for the ITC framework, completing its paradigm shift from “philosophical assertion” to “mathematical science.”
The Instantaneous Teleportation Cosmos (ITC) theory interprets quantum entanglement as a dual-port projection of the same basal information cluster and predicts that manipulating the quantum state at the sender side can induce a tiny shift ΔP≠0 in the single-party probability distribution at the receiver side. Theoretical analysis, based on the four core properties of the ITC framework (P1-P4), estimates ΔP to be small in magnitude. The introduction of Basal Resonance Tunability (P5) provides a key mechanism to further enhance this signal: when an external field frequency matches a basal eigenfrequency, the parameters of P4 (such as the manifestation time τ) are locally modulated. Specifically, exciting the τ-mode compresses τ, which reduces the quantum fluctuation noise that obscures single-shot results. This increases the signal-to-noise ratio of the perturbation at the receiver’s projection, making ΔP significantly more detectable. This paper systematically elaborates the synergistic physical mechanism of P5 and the π-pulse—where the π-pulse acts as the signal source by altering the information cluster content, and P5 acts as a signal amplifier by modulating the parameters of P4 (e.g., the manifestation time τ)—enabling ΔP to reach a precisely measurable level. This mechanism offers a practical path for testing ITC theory, revealing the basal structure, and exploring the principles of superluminal communication.
The nonlocality of quantum entanglement reveals instantaneous correlations that transcend classical spacetime. Starting from this phenomenon, this paper derives a first principle: information can be transmitted with zero-latency between any two points in the universe. Based on this principle, we construct the Instantaneous Teleportation Cosmos (ITC) framework and derive the basal structure together with its four core properties. In particular, we propose the “One Basal, Many Manifestations” model: the same basal structure can simultaneously project multiple mutually non‑interfering manifestation worlds through different projection rules. These worlds coexist at the same basal level but are mutually invisible because of different projection rules. The model provides a unified ontological framework for understanding quantum nonlocality, the many‑worlds interpretation, and the quantum measurement problem.