Paper 23:Underlying Spatial Connectivity and Bell Inequality Violation: An Emergent Derivation of Quantum Entanglement from the Huaxia Spacetime Total Conservation Theory
Axiom IV of the Huaxia Spacetime Total Conservation Theory has long lacked rigorous quantification. This paper provides a new physical picture and quantitative mathematical framework for Axiom IV. We first strictly distinguish between two completely different physical processes: wave propagation involves real changes in spatial quantities and is constrained by spatial elastic restoring forces; quantum entanglement does not involve any propagation of spatial quantities but is the conservation of a global topological invariant intrinsic to the spatial medium. We further define the topological coupling stiffness of the spatial medium from the characteristic line tension of the spatial elastic field, quantitatively proving that the enormous stiffness provided by the characteristic line tension makes any local energy-type noise far insufficient to destroy the phase conservation constraint — this is the mechanical basis of the intrinsic correlation of quantum entanglement. Based on this physical picture, we reinterpret the observed distance-dependent decay of Bell violation as the statistical drowning effect of spatial background noise on entanglement signals. Starting from the H-SET spatial elastic action combined with canonical quantization, we rigorously derive the power spectral density of spatial background noise. Based on the nonlinear coupling mechanism of the spatial elastic field and cross-scale energy estimates, we derive the Gaussian envelope of the real-space two-point correlation function. The observed Bell violation quantity follows a Gaussian decay form, where the spatial field correlation length is independently constrained by weak gravitational lensing data from another paper, introducing no new free parameters for this prediction. This paper presents three extreme predictions of Axiom IV, constituting a complete test chain from having space with noise to having space without noise to having no space. These three predictions provide clear falsification conditions for Axiom IV. This paper honestly declares the limitations of the current derivation.
Axiom IV of the Huaxia Spacetime Total Conservation Theory has long lacked rigorous quantification. This paper provides a new physical picture and quantitative mathematical framework for Axiom IV. We first strictly distinguish between two completely different physical processes: wave propagation involves real changes in spatial quantities and is constrained by spatial elastic restoring forces; quantum entanglement does not involve any propagation of spatial quantities but is the conservation of a global topological invariant intrinsic to the spatial medium. We further define the topological coupling stiffness of the spatial medium from the characteristic line tension of the spatial elastic field, quantitatively proving that the enormous stiffness provided by the characteristic line tension makes any local energy-type noise far insufficient to destroy the phase conservation constraint — this is the mechanical basis of the intrinsic correlation of quantum entanglement. Based on this physical picture, we reinterpret the observed distance-dependent decay of Bell violation as the statistical drowning effect of spatial background noise on entanglement signals. Starting from the H-SET spatial elastic action combined with canonical quantization, we rigorously derive the power spectral density of spatial background noise. Based on the nonlinear coupling mechanism of the spatial elastic field and cross-scale energy estimates, we derive the Gaussian envelope of the real-space two-point correlation function. The observed Bell violation quantity follows a Gaussian decay form, where the spatial field correlation length is independently constrained by weak gravitational lensing data from another paper, introducing no new free parameters for this prediction. This paper presents three extreme predictions of Axiom IV, constituting a complete test chain from having space with noise to having space without noise to having no space. These three predictions provide clear falsification conditions for Axiom IV. This paper honestly declares the limitations of the current derivation.
Axiom 4 (Primordial Oneness of Space) had remained without rigorous quantification in H-SET until the present work. We provide a fundamentally new physical picture and a quantitative mathematical framework for Axiom 4. We first rigorously distinguish two completely different physical processes: wave propagation involves real changes in the amount of space, subject to space elastic restoring forces; quantum entanglement involves no propagation of any space quantity at all—it is the conservation of a global topological invariant of the space medium. We reinterpret the observed decay of Bell violations with distance as a statistical drowning effect of spatial background noise on the entanglement signal, rather than an intrinsic attenuation of entanglement. Starting from the H-SET space elastic action, combined with canonical quantization, we rigorously derive the power spectral density of spatial background noise, thereby establishing an integral expression for the noise drowning factor. Under the assumption of homogeneous and isotropic noise, we obtain an analytical solution of Gaussian decay form. We propose three extreme predictions for Axiom 4, constituting a complete test chain, and provide explicit falsification conditions.
AbstractQuantum entanglement remains one of the most profound mysteries in modern physics. Although Bell inequality violations have ruled out local hidden-variable theories, the physical origin of nonlocal correlations lacks a clear ontological foundation. This paper proposes that entanglement is not a fundamental property of quantum mechanics per se, but an emergent manifestation of an intrinsic topological correlated structure within the material phase (Ξ), driven by global two-phase information conservation. Embedded within the author’s information-energy accounting system, this framework derives Bell inequality violation from the principle of least action with two-phase coupling. We introduce observer coherence as a key parameter modulating nonlocal correlation efficiency and provide three testable predictions: observer coherence modulates entanglement decoherence rate, statistical anomalies in physical random number generators during global synchronized events, and a characteristic settlement delay signature in Bell experiments. This work unifies quantum entanglement with quantum measurement, black hole information processing, and cosmic dark energy dynamics under a single cross-scale information settlement paradigm. Keywords: quantum entanglement, Bell inequality, nonlocality, information conservation, topological order, principle of least action, decoherence, observer coherence
Abstract: Quantum entanglement and Bell inequality violation are regarded as the most iconic non-classical phenomena in quantum mechanics, yet their physical origin remains mysterious. Within Space Ontology, we demonstrate that the nonlocal correlations between an EPR pair are not due to "spooky action at a distance," but are a natural manifestation of the intrinsic geometric correlations between two identical spatial modes generated by the same disturbance. We introduce the effective shape parameter alpha_eff and the geometric entanglement entropy E_geo, and derive from first principles the analytic relation between the CHSH polynomial S and E_geo: S = 2√2 · tanh(2E_geo(alpha_eff)). The classical limit (E_geo → 0) recovers Bell's inequality (S ≤ 2), while the quantum limit (E_geo → ∞) yields the maximum violation S = 2√2. By direct comparison with authoritative data from loophole-free Bell experiments, high-dimensional orbital angular momentum entanglement experiments, and the Micius satellite entanglement distribution experiment, the theoretical predictions are in excellent agreement with experimental observations — with typical deviations below 3% and no free parameters. We further propose schemes for actively designing entanglement resources by controlling the shape parameter of spatial modes, providing a new physical dimension for quantum communication and quantum computation. This work demonstrates that quantum nonlocality can be completely reduced to space geometry — twin ripples are telepathic because they share the same initial texture from the same spatial disturbance. This paper is the third in the first series (17 papers total) of Space Ontology.
In the Cosmology of the Quarkbase, quantum particles and photons are interpreted as excitations of an etheric plasma represented by the scalar or vector field Ψ(x,t). An experiment that, in standard quantum theory, produces an entangled pair instead generates in this framework a single non-local field excitation: a coherent combination of Ψ-modes correlated through conservation of momentum, spin, and polarization, as well as through the coupling topology between local sources (quarkbases). Local measurement acts as a projection on this extended excitation, producing the experimentally observed strong correlations without any exchange of causal signals between detectors. The Quarkbase formalism introduces explicit medium parameters —density ρp, compressibility K, and effective mass mΨ— that define physical scales such as the screening length λ = 1/mΨ. These quantities determine the spatial decay of entanglement visibility according to V(r) ∝ e⁻ʳ/λ / r, and the effective CHSH parameter becomes Seff = C(r) 2√2. Therefore, if the vacuum possesses a finite λ, Bell-type correlations should attenuate exponentially with distance, providing a falsifiable signature of a massive or screened etheric field. Mathematically, the framework reproduces the predictions of quantum field theory —Bell states, coincidence probabilities, CHSH violation— while offering an ontological interpretation in which entanglement arises from the geometry and coherence of the Ψ-field rather than from instantaneous nonlocal action. The theory therefore unifies microscopic quantum behavior with macroscopic medium dynamics, transforming questions about “collapse” and “nonlocality” into experimentally testable properties of the underlying ether-plasma.
Current interpretations of quantum entanglement rely on wavefunction superposition, measurement collapse, and nonlocal correlation assumptions, lacking a physical, visualizable medium description. This paper presents a unified mechanism for entanglement generation, Bell-inequality violations, and decoherence based on the KuiQuark Sea superfluid medium model, the intrinsic helical topology of photons, and the missing-tooth noise effect. We demonstrate that ordinary light sources and entangled photon pairs share an identical underlying medium excitation mechanism, differing only in vortex splitting mode and angular momentum distribution. The observed violation of Bell inequalities (S = 2√2) is interpreted not as evidence for nonlocal action, but as a statistical consequence of continuous random phase perturbations from freely distributed KuiQuark units throughout space — a globally distributed, but locally causal, medium effect. The 2π periodicity of photon helical phase implies that detectors retain only the reduced phase modulo 2π, automatically discarding integer multiples of 2π. The Bell bound is therefore determined solely by the 45° orthogonal measurement geometry. This model avoids the standard hidden-variable assumptions, unifies entanglement generation, correlation maxima, decoherence decay, and medium-dependent transmission differences, without introducing ad hoc hypotheses. It is fully compatible with the photon helical Xu ratio, the missing-tooth probability mechanism, and the underlying fluid dynamics of the microscopic medium.
We present a constraint-based axiomatization of quantum correla- tions that derives Bell statistics without invoking Hilbert space, wave functions, or causal mechanisms. Starting from five physically moti- vated axioms—rotational invariance, perfect anti-correlation, uniform marginals (no-signaling), smoothness, and extremality—we prove that the singlet correlation function E(ˆ a,ˆˆb) =−ˆa·b is uniquely deter- mined. The proof proceeds through functional equation analysis: the extremality axiom implies angle additivity, reducing the problem to Cauchy’s equation with boundary conditions. We derive the Tsirelson bound |S|≤2√2 directly from this correlation function without op- erator algebras, and show that CHSH violation follows as a theorem. The no-signaling condition emerges as a structural property of the con- straint, ensuring compatibility with relativistic causality. We extend the framework to tripartite systems, deriving GHZ correlations from analogous axioms and proving maximal Mermin inequality violation. The constraint interpretation dissolves the tension between entangle- ment and causality: correlations are neither caused nor explained by hidden variables—they are specified by the constraint structure itself. This framework recovers all quantum predictions while eliminating causation from the foundational ontology.