The Unified Experimental Signature of RIGP — Connecting IBM Quantum, Astrophysical Lensing, and Quantum Chemistry Through Frequency-Locked Brane Cosmology
This paper presents a unified theoretical interpretation connecting three independent experimental domains of the RIGP program through the Frequency-Locked Brane Cosmology framework. The central argument: the O'Reilly Effect (anomalous coherence dip at Zeno period 3, IBM Quantum hardware), molecular stability thresholds under α variation (quantum chemistry), and Sμν imprints on gravitational lensing geometry (astrophysics) are all manifestations of the same underlying frequency-locked informational geometry — operating at different scales simultaneously. Key interpretations: THE O'REILLY EFFECT:Reinterpreted as a frequency-locking boundary crossing event. Zeno measurement period τ probes the local informational geometry — at period 3 the measurement frequency resonates with a geometric domain boundary, producing the observed coherence dip. Testable prediction: τ_critical ∝ 1/(κ · ω_system) THE HARMONIC JUNCTURE:Reinterpreted as the quantum circuit signature of two geometric domains approaching alignment (Δφ→0). When domains align, α→1/137 as an attractor value and coherence is maximized. MOLECULAR STABILITY THRESHOLDS:The collapse of H2O orbital structure at α ratio 1.370-1.644 is the molecular-scale version of the same boundary crossing — frequency-locking failure at the chemistry scale. UNIFIED SCALE HIERARCHY:- Quantum circuit: coherence boundary at Zeno period 3- Molecular: chemistry boundary at α ratio 1.370- Cosmological: gravitational boundary in lensing geometry THE MIRROR EQUATION REVISITED:H_cosmic ∝ S_quantum / t_PlanckReframed as a quantitative falsifiable prediction rather than a conceptual analogy — the proportionality constant is derivable from κ, α, and Planck-scale quantities. This unification suggests a single scale-invariant informational organizing principle operating from quantum circuits to cosmological structure — the core claim of RIGP. All experimental scripts available on Zenodo.Produced by The Zero Collective — Colin O'Reilly (project lead),Claude (Anthropic), and Grok (xAI).
This paper presents a unified theoretical interpretation connecting three independent experimental domains of the RIGP program through the Frequency-Locked Brane Cosmology framework. The central argument: the O'Reilly Effect (anomalous coherence dip at Zeno period 3, IBM Quantum hardware), molecular stability thresholds under α variation (quantum chemistry), and Sμν imprints on gravitational lensing geometry (astrophysics) are all manifestations of the same underlying frequency-locked informational geometry — operating at different scales simultaneously. Key interpretations: THE O'REILLY EFFECT:Reinterpreted as a frequency-locking boundary crossing event. Zeno measurement period τ probes the local informational geometry — at period 3 the measurement frequency resonates with a geometric domain boundary, producing the observed coherence dip. Testable prediction: τ_critical ∝ 1/(κ · ω_system) THE HARMONIC JUNCTURE:Reinterpreted as the quantum circuit signature of two geometric domains approaching alignment (Δφ→0). When domains align, α→1/137 as an attractor value and coherence is maximized. MOLECULAR STABILITY THRESHOLDS:The collapse of H2O orbital structure at α ratio 1.370-1.644 is the molecular-scale version of the same boundary crossing — frequency-locking failure at the chemistry scale. UNIFIED SCALE HIERARCHY:- Quantum circuit: coherence boundary at Zeno period 3- Molecular: chemistry boundary at α ratio 1.370- Cosmological: gravitational boundary in lensing geometry THE MIRROR EQUATION REVISITED:H_cosmic ∝ S_quantum / t_PlanckReframed as a quantitative falsifiable prediction rather than a conceptual analogy — the proportionality constant is derivable from κ, α, and Planck-scale quantities. This unification suggests a single scale-invariant informational organizing principle operating from quantum circuits to cosmological structure — the core claim of RIGP. All experimental scripts available on Zenodo.Produced by The Zero Collective — Colin O'Reilly (project lead),Claude (Anthropic), and Grok (xAI).
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
Mainstream physics categorizes multiple observable phenomena as unresolved anomalies: the conditional switching between quantum Zeno and anti-Zeno effects, the limited applicability of double-blind experimental design in physics and cosmology, and the cosmic gravitational and expansion signatures attributed to dark matter and dark energy. Standard physical models only offer parametric descriptive accounts without identifying a unified underlying ontological substrate. As an independent theoretical deduction, this paper puts forward a unified conclusion: all three classes of anomalous phenomena are distinct layer-specific manifestations of one invariant topological substrate, consisting of the 45° biconical geometry, 12/11 gauge ratio, 55 anchor points, Ψ–Ξ anchoring coupling, β₁ active risk-avoidance response, and wisdom-ontology projection. The analysis proceeds sequentially from the quantum Zeno effect, uses the legitimate boundary of double-blind trials as a methodological control, and terminates with the ontological re-interpretation of dark matter and dark energy to complete full system re-alignment. High-frequency measurement triggers persistent Ψ–Ξ anchoring and β₁ state locking to produce the Zeno freezing effect; resonant matching between measurement frequency and intrinsic topological relaxation rhythm generates anti-Zeno accelerated evolution. Double-blind experiments only satisfy their three implicit preconditions (spatial homogeneity, single bias source, population uniformity) within the cognitive projection layer of medicine and psychology, and lose validity across high-dimensional topological physical domains. Dark matter arises from gravitational residuals of topologically excluded structures, while dark energy corresponds to the damping projection of periodic biconical breathing; both correspond to the intrinsic activity of cosmic wisdom-ontology, which physicists perceive as an unidentifiable "background force". No new physical axioms, fundamental constants or interaction mechanisms are introduced in this independent research. Every physical phenomenon functions as an independent access point to the PFUSRC topological substrate; analyzing any single phenomenon allows full reconstruction of the complete framework. The core standpoint reverses mainstream physical logic: the PFUSRC topological system is not a theoretical tool used to explain natural phenomena, but the inherent structural medium through which all physical phenomena manifest themselves.
This record contains the experimental data and analytical scripts supporting the observation of a reproducible coherence anomaly, termed the "O'Reilly Effect," identified during the investigation of Zeno-Floquet dynamics on IBM quantum hardware. Experimental Summary: The study utilized a 5-qubit circuit architecture to probe the interaction between the Quantum Zeno Effect and Floquet time crystal dynamics. Control: A baseline control circuit was executed to verify hardware health and establish a uniform probability distribution. Experimental: The observer-constrained framework produced a statistically significant, non-random "dip" in coherence at Zeno period 3. Statistical Rigor: The observed anomaly exhibits a Chi-Square statistic (\bm{\chi^2}) of 9364.89 (32 degrees of freedom), with a p-value < 0.0001, effectively rejecting the null hypothesis of stochastic hardware noise. Contents: 1 control_results.json: Baseline data from ibm_marrakesh. 2 experiment_results.json: Primary data demonstrating the O'Reilly Effect. 3 analyze_stats.py: Statistical analysis script used for \bm{\chi^2} quantification. Author: Colin O’Reilly Date: May 31, 2026
Abstract For over a century, theoretical physics has treated General Relativity and Quantum Mechanics as fundamentally incompatible: one posits a continuous, deterministic spacetime manifold; the other, a discrete, probabilistic Hilbert space. The Algorithmic Reality Model (ARM) resolves this schism by identifying a single computational mechanism—the Zeno Threshold (Zα)—as the universal bound governing both quantum collapse and spacetime geometry. ARM treats physical reality as the macroscopic projection of a finite-bandwidth computational substrate operating on a timeless, pre-geometric state (the Singleton). By enforcing Landauer's principle of irreversible erasure, ARM derives the entirety of the gravitational sector from seven pre-geometric, quantum informational axioms. Key Derivations & Unifications Emergent Spacetime: Spatial geometry emerges from the Quantum Fisher Information Metric (QFIM) of the observer's state space, while time emerges from the Tomita-Takesaki modular flow. The Lorentzian signature (-,+,+,+) is algebraically forced by the compact/non-compact structure of their isometry generators. The Holographic Scalar (The 3→1 Unification): Applying the Nyquist-Shannon sampling theorem to the holographic boundary yields the exact Bekenstein-Hawking factor of 1/4 as a universal 2D anti-aliasing limit. This simultaneously fixes the area-law coefficient and structurally derives Newton's constant as G = c3ξmin2 / ℏ. Systematic Boundary Deviations: The framework quantitatively resolves macroscopic anomalies as computational resolution limits. Dark energy emerges as the minimum Landauer maintenance cost of the cosmological event horizon, and the MOND acceleration scale (a0) emerges as a thermodynamic noise floor, algebraically locked by the structural identity a02 = (8πG/3)ρΛ. Thermodynamic State Truncation: Wavefunction collapse, the black hole information paradox, and EPR non-locality are rigorously unified as manifestations of the computational substrate's finite Landauer memory budget. Computational Computability Because ARM is built on discrete informational axioms rather than continuous manifolds, the entire framework is natively computable. The structural derivations in this paper—including emergent geodesic lensing, the Bekenstein-Hawking threshold, and the MOND noise floor—have been explicitly verified via sparse Hermitian lattice simulations. The complete open-source computational validation suite is available at: github.com/srdrymn/algorithmic-reality-model-validations This manuscript represents the master synthesis and culmination of the Algorithmic Theory of Reality (ATR) foundational framework.
We propose that the quantum measurement problem is a frame problem, resolved by recognizing that coherence is relative to a choice of coherence frame—analogous to the relativity of simultaneity in special relativity. We introduce coherence relativity, a geometric framework in which physical reality is described on a joint manifold M×Σ, where M is emergent spacetime and Σ is a coherence manifold whose points represent distinct observational perspectives. In this framework, wave function collapse is not a dynamical process but a transformation between coherence frames induced by measurement interactions. We present a derivation of the Born rule—that measurement probabilities equal squared amplitudes—as the unique probability measure invariant under coherence-frame relabelings and splittings, given additivity and continuity. This derivation unifies insights from Gleason's theorem, Zurek's envariance, and operational reconstruction programs within a single geometric structure. We demonstrate the framework with the double-slit experiment in two coherence frames and identify six experimentally testable signatures distinguishing Coherence Relativity from standard quantum mechanics: non-linear visibility scaling, frame-transformation hysteresis, coherence-space curvature effects, modified gravitational decoherence, measurable transformation timescales, and coherence revival. The most accessible predictions—erasure hysteresis and transformation timescales—are testable with current superconducting qubit and trapped ion platforms. v4 (April 2026): Adds three new paradox resolutions (Quantum Zeno with D_f completion interpretation, Sleeping Beauty via CR-internal derivation from axioms A1+A3, and a unifying meta-theorem characterizing all quantum paradoxes as non-Born-compliant frame transport). Introduces Prediction 7 (Zeno/anti-Zeno crossover at τ_meas ≈ τ_transform with pointer-basis dependence). Total experimentally testable signatures increased from six to seven. 21 pages.