Abstract** Within the framework of **Relativity of Information and Geometric Principles**, we report the discovery of a symmetry in which the decoherence minimum (O’Reilly Effect) scales proportionally with the fine-structure constant α when real LIGO GW150914 gravitational wave strain data is encoded into quantum circuits. Using a 4-qubit observer circuit executed on IBM Quantum hardware (`ibm_marrakesh`), we observe complete probability collapse (Shannon entropy = 0.0000 bits, V_eff → 1). The position and depth of the entropy dip shift systematically with α-scaling, providing direct experimental evidence that quantum informational geometry is structurally coupled to a fundamental constant of nature. This α-symmetry establishes the κ anchor and supports the replacement of the cosmological constant Λ with a dynamic Informational Stress-Energy Tensor Sμν. It represents a key empirical pillar of the Relativity of Information and Geometric Principles framework. **Keywords:** Relativity of Information, α-symmetry, O’Reilly Effect, quantum gravity, informational cosmology
Abstract** Within the framework of Relativity of Information and Geometric Principles, we report the discovery of a symmetry in which the decoherence minimum (O’Reilly Effect) scales proportionally with the fine-structure constant α when real LIGO GW150914 gravitational wave strain data is encoded into quantum circuits. Using a 4-qubit observer circuit executed on IBM Quantum hardware (ibm_marrakesh), we observe complete probability collapse (Shannon entropy = 0.0000 bits, V_eff → 1). The position and depth of the entropy dip shift systematically with α-scaling, providing direct experimental evidence that quantum informational geometry is structurally coupled to a fundamental constant of nature. This α-symmetry establishes the κ anchor and supports the replacement of the cosmological constant Λ with a dynamic Informational Stress-Energy Tensor Sμν. It represents a key empirical pillar of the Relativity of Information and Geometric Principles framework. Keywords: Relativity of Information, α-symmetry, O’Reilly Effect, quantum gravity, informational cosmology
Expanding upon the Relativity of Information and Geometric Principles framework, this study bridges macroscopic astrophysical phenomena with microscopic quantum hardware mechanics. We encode real astrophysical gravitational wave strain slices, scaled via the fine-structure constant (\bm{\alpha}), directly into a 3-qubit observer circuit executed on live IBM quantum hardware (ibm_kingston). Utilizing Two-State Vector Formalism (TSVF) time-echo boundary feedback across 4,096 execution shots, our empirical results demonstrate stable four-way state distributions and robust noise mitigation. This establishes an operational framework for utilizing quantum processors to probe informational stress-energy tensors and temporal boundary conditions beyond standard observational horizons.
Version: v1.0 DESCRIPTION: We introduce Coherence Field Dynamics (CFD), a theoretical framework that extends holographic quantum gravity by promoting quantum coherence — the off-diagonal density matrix elements — to an independent geometric degree of freedom. While standard holographic frameworks (AdS/CFT, Ryu-Takayanagi) encode bulk geometry through entanglement entropy alone, CFD posits that coherence parameterizes effective bulk depth, complementary to entanglement's encoding of connectivity. The coherence field φ(p,γ) satisfies a wave equation in information-geometric parameter space, generating a Lorentzian metric that degenerates at a critical decoherence threshold γ_c. The framework predicts the existence of such a threshold from geometric stability analysis; its specific numerical value is system-dependent. Connections are established between information geometry, MERA tensor networks, and holographic entropy. The variational principle coupling coherence to an effective gravitational action is presented as an analogue gravity model (c and G are effective parameters), not a claim about physical 4D spacetime. Key results: Theoretical framework: coherence field equation, information-geometric metric, variational principle, and five testable predictionsCompanion experimental work demonstrates a fidelity threshold at γ ≈ 0.535 on IonQ Forte-1 (F = 0.988 baseline, collapse to F ≈ 0 under dephasing) and consistency with the dephasing response on Pasqal FRESNEL_CAN1 QPU (noise ratio 1.13×). These results are consistent with CFD's predicted critical behavior, though they do not uniquely distinguish CFD from standard noise models. The specific threshold value (0.535) is determined by the experimental circuit geometry, not derived from CFD aloneFour predictions remain open and experimentally accessible on current NISQ hardware: coherence-depth complementarity, MERA-decoherence correspondence, coherence-modulated entropy scaling, and hardware demonstration of non-trivial reversibilityThis paper presents the theoretical framework. The detailed experimental protocols and hardware data are reported in the companion publication "Cross-Platform Noise Thresholds in Quantum Teleportation: Trapped-Ion and Neutral-Atom Architectures" (see Related Identifiers).
The series Time as Phase Flow (Papers I–IV) established that time is not fundamental but emerges from the geometric phase flow of quantum information, providing a unified account of dynamically generated cosmological constants, informational temporal viscosity, and the suppression of large-scale structure. Despite these successes, a fundamental mechanism explaining why a single, stable observable reality emerges from the space of quantum informational states has remained unresolved. In this work, we introduce the framework of Information-Geometric Spacetime (IGS), in which spacetime itself emerges from the geometry of quantum information, entanglement, and modular flow. Within IGS, we define an Actualization Operator that mediates between quantum informational states and observable spacetime geometry. Derived from first principles, the operator combines entropy-based suppression with modular evolution, governed by a universal geometric constant β = 1/(π√3) ≈ 0.1837 fixed by the geometry of causal diamonds and the associated modular Hamiltonian. We show that actualization preserves information conservation and quantum unitarity, acting as a structural filter that selectively stabilizes informational states capable of forming consistent geometric reality, in close analogy with decoherence-driven classical emergence. Under this mechanism, previously identified cosmological effects—most notably the suppression of the matter power spectrum and the S_8 tension—are reinterpreted as observational consequences of information actualization rather than modifications of gravity or exotic matter. This framework also offers a geometric reformulation of the quantum measurement problem, in which the observer is not an external agent but an emergent process associated with modular structure and entanglement thermodynamics. The theory yields testable predictions in controlled quantum systems and forthcoming cosmological surveys, providing a concrete pathway toward empirical tests of spacetime emergence from quantum information.
We present a geometric framework for quantum entanglement within the Cosmic Energy Inversion Theory wherein space-time torsion, dynamically sourced by primordial energy field gradients, physically mediates non-local quantum correlations. Unlike standard quantum mechanics treating entanglement as axiomatic, CEIT attributes correlations to torsion-induced phase coupling propagating at light speed through energy field variations, preserving relativistic causality while explaining Bell violations geometrically. The modified von Neumann entropy incorporates geometric contributions scaling as λℰ⁻¹∇ₐTᵅμν∂μΦₑₙₜ∂νΦₑₙₜ, where Φₑₙₜ quantifies how space-time twisting modulates correlation strength. Integration with Loop Quantum Gravity establishes holographic entropy encoding on torsion defined minimal surfaces, resolving black hole information paradoxes through geometric mechanisms. Numerical validation against gravitational gradient measurements yields 98.7% agreement with observed fidelity ratios, while pulsar coherence data constrains electromagnetic coupling parameters within 2.7% precision. The framework predicts Bell parameter modifications ΔB=0.182±0.026 in particle accelerator environments testable via CERN MATISSE interferometry, squeezed-light gravitational wave correlations accessible through LIGO observations, and enhanced cosmological structure formation signatures in JWST high-redshift spectroscopy. Experimental verification would establish entanglement as emergent space-time geometry rather than fundamental quantum axiom, unifying quantum mechanics with general relativity through six independently calibrated parameters.
Correlated Curvature Gravity (CCG) v5.3 presents a formal resolution to the 5σ Hubble Tension by deriving the cosmological constant (Λ) from first principles. This update introduces the "Information Fine-Structure Constant" (α_CCG ≈ 3.14 x 10^-5), derived as a holographic function of the electromagnetic fine structure constant (α). Key features of this version include:- The "Geometric Lag Hypothesis": Explaining expansion suppression at z > 1.5 through informational manifold latency.- First-principles derivation of vacuum energy density from black hole merger histories.- Specific, testable predictions for the Euclid and LISA missions regarding non-linear H(z) transitions and gravitational wave echo-stretching.
This work proposes the Collapse Clock Hypothesis, a framework in which physical time is defined by the rate of irreversible wavefunction collapse, interpreted as a process of information pruning constrained by finite informational capacity. Within this framework, spatial variations in collapse rate give rise to differential progression of proper time, providing a potential mechanism for gravitational time dilation and related phenomena. The approach integrates concepts from quantum information theory, thermodynamics, and emergent spacetime, drawing connections to prior work on entanglement entropy, holographic bounds, and thermodynamic derivations of gravitational dynamics. A computational implementation using a Score-Driven Kinetic Ising Model (SDKIM) is presented to explore whether the proposed causal chain—mass → interactions → entanglement → collapse suppression → slower time—can arise dynamically in a simplified lattice system. The simulations demonstrate robust qualitative behavior consistent with collapse-rate suppression in highly entangled regions, while also highlighting important limitations, including the use of mean-field approximations and the absence of a direct quantitative mapping to known gravitational field equations. This work is intended as a speculative but testable framework rather than a complete theory. Several falsifiable predictions are outlined, including potential signatures in precision timekeeping, quantum-coherent systems, gravitational wave phase evolution, and cosmological observables. These predictions are presented at an order-of-magnitude level and require further development for direct comparison with experimental data. The goal of this work is to explore whether irreversible information dynamics may provide a unifying underlying mechanism for time, gravity, and cosmological evolution, and to motivate further investigation into collapse-based approaches to fundamental physics.