Instantaneous Connectivity (P2) is one of the four core properties of the ITC framework. It asserts that there are no distance or delay constraints between basal nodes—they are instantaneously connected. While this property is motivated by the violation of Bell’s inequality, its necessity must be established on more fundamental grounds. This paper systematically demonstrates the solid theoretical basis of P2 from five perspectives: experimental evidence, derivation from first principles, compatibility with causality, feasibility of statistical detection, and resonance with other theories. First, the robust experimental violation of Bell’s inequality unequivocally demonstrates the existence of quantum nonlocality, providing the empirical cornerstone for P2. Second, from the ITC first principle (zero‑latency transmission between any two points in the universe), the instantaneous connectivity of the basal structure follows as a logical necessity. Third, the existence of absolute time guarantees causal order, while Manifestation Finiteness (P4) prevents single‑shot information transmission, rendering P2 compatible with relativistic causality. Fourth, experiments such as the recoiling‑slit experiment demonstrate that statistical distributions can be controlled, offering a practical pathway to test P2. Finally, P2 resonates deeply with theories such as quantum entanglement and the ER=EPR conjecture, all pointing toward a deeper reality. Through these five levels of argumentation, we conclude that instantaneous connectivity is an inherent attribute of the basal structure and a crucial element for the logical self‑consistency of the ITC framework.
Instantaneous Connectivity (P2) is one of the four core properties of the ITC framework. It asserts that there are no distance or delay constraints between basal nodes—they are instantaneously connected. While this property is motivated by the violation of Bell’s inequality, its necessity must be established on more fundamental grounds. This paper systematically demonstrates the solid theoretical basis of P2 from five perspectives: experimental evidence, derivation from first principles, compatibility with causality, feasibility of statistical detection, and resonance with other theories. First, the robust experimental violation of Bell’s inequality unequivocally demonstrates the existence of quantum nonlocality, providing the empirical cornerstone for P2. Second, from the ITC first principle (zero‑latency transmission between any two points in the universe), the instantaneous connectivity of the basal structure follows as a logical necessity. Third, the existence of absolute time guarantees causal order, while Manifestation Finiteness (P4) prevents single‑shot information transmission, rendering P2 compatible with relativistic causality. Fourth, experiments such as the recoiling‑slit experiment demonstrate that statistical distributions can be controlled, offering a practical pathway to test P2. Finally, P2 resonates deeply with theories such as quantum entanglement and the ER=EPR conjecture, all pointing toward a deeper reality. Through these five levels of argumentation, we conclude that instantaneous connectivity is an inherent attribute of the basal structure and a crucial element for the logical self‑consistency of the ITC framework.
Manifestation Finiteness (P4) is one of the four core properties of the ITC framework. It asserts that the manifestation of basal information in emergent spacetime requires a local time τ, and the outcome of a single manifestation is random. This property seemingly contradicts P2 (Instantaneous Connectivity), but in fact it is the crucial barrier safeguarding causality and ensuring compatibility with relativity. This paper systematically demonstrates the necessity of P4 from six levels. First, at the experimental evidence level, the experimental confirmation of the no‑signalling theorem unequivocally shows that quantum correlations cannot be used for superluminal communication, providing the empirical cornerstone for P4. Second, from the first principle, the existence of absolute time requires a definite order of events, and the local manifestation time τ in P4 guarantees the causal order in emergent spacetime. Third, an analysis of spacelike separation and compatibility with relativity shows that even if τ is extremely small, leading to spacelike separated events, the randomness of single outcomes in P4 prevents causal paradoxes; moreover, the information extraction event itself has a definite time point, ensuring that the final information extraction is causally later than the sending event. Fourth, the feasibility of statistical detection—demonstrated by Pan’s team’s 2026 DI‑QKD experiment—proves that weak signals can be extracted from random data through large samples, providing a methodological basis for overcoming P4. Fifth, the complementary relationship with P2 shows that P2 guarantees instantaneous connectivity at the basal level, while P4 prevents this connectivity from being used for single‑shot controllable information transmission; together they constitute the complete picture of the two‑layer reality. Sixth, at the level of quantum mechanical foundations, the randomness of measurement collapse and the projection postulate are deeply compatible with P4. Through these six levels of argumentation, we conclude that Manifestation Finiteness is an inherent property of the basal structure, a core element for the logical self‑consistency of the ITC framework, and the fundamental obstacle that statistical detection schemes must face and overcome.
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 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 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.
Storage Perfection (P1) is one of the four core properties of the ITC framework. It asserts that information in the basal structure does not decay or distort over time, and the storage fidelity is 100%. This paper systematically demonstrates the solid foundation of P1 from five levels. First, starting from the ITC first principle (zero‑latency transmission between any two points in the universe), we deduce the existence of the basal structure and its status as the ultimate carrier of information. Second, based on the unitary evolution of quantum mechanics, we elucidate the principle of information conservation and argue that the basal structure, as the ultimate carrier of information, must satisfy perfect storage; otherwise, information would truly disappear, directly violating information conservation. Third, research in quantum error correction shows that information is in principle recoverable and can be approached arbitrarily close to perfect preservation, providing profound mathematical support for P1. Fourth, the development of quantum storage technologies offers engineering‑level feasibility proof for P1. Fifth, cutting‑edge experiments—such as Pan’s team’s 550 ms long‑lived entanglement and Guo’s team’s 20 km atom‑photon entanglement distribution—verify from both temporal and spatial dimensions that quantum information can maintain coherence over sufficiently long times and distances, providing solid experimental evidence for P1. Through these five interlocking levels, we conclude that storage perfection is an inherent property of the basal structure, a core element for the logical self‑consistency of the ITC framework, and the theoretical basis for statistical accumulation in superluminal communication experiments.
The Instantaneous Teleportation Cosmos (ITC) framework divides physical reality into two levels: the basal structure and emergent spacetime. The basal structure possesses four core properties: Storage Perfection (P1), Instantaneous Connectivity (P2), Mapping Determinacy (P3), and Manifestation Finiteness (P4). Based on the rigorous definitions and established arguments of these four properties, this paper constructs a complete logical chain, proving that the conclusion “modulating Alice inevitably causes a change in Bob’s single-side probability ΔP≠0” is a necessary requirement of the ITC framework’s internal logic. The argument demonstrates: P2 ensures that modulation instantaneously affects Bob’s basal state; P1 ensures that this effect can be accumulated; P3 ensures that a change in the basal state inevitably leads to a change in the probability distribution at the manifestation layer; P4 explains why this change manifests as a statistically detectable ΔP rather than a single-shot perceptible signal. The synergistic action of the four properties makes ΔP≠0 an inevitable conclusion for the logical self-consistency of the ITC framework. If ΔP=0, then at least one core property would be violated. Therefore, ΔP≠0 is a core testable prediction of the ITC framework and the theoretical foundation for superluminal communication experimental schemes.