Building upon the framework of Relativity of Information and Geometric Principles, this study presents empirical hardware-level execution results investigating quantum informational geometry and temporal boundary constraints. Utilizing a multi-qubit observer circuit deployed on live IBM quantum hardware (ibm_fez), we implement periodic Floquet driving loops and Two-State Vector Formalism (TSVF) post-selection filtering. By examining the resulting multi-state distributions and constrained sub-ensembles, we explore how retrocausally-coupled boundary conditions can be leveraged to probe processes outside standard present-moment observation horizons and evaluate coherence extension on physical transmon architectures.
This paper investigates the intersection of non-equilibrium quantum dynamics and time-symmetric mechanics by evaluating topological coherence extension through Floquet-driven discrete time crystals (DTC) coupled with Two-State Vector Formalism (TSVF) metric perturbations. By modeling complex temporal boundary constraints within a simulated manifold architecture, we demonstrate that periodic driving layers and retrocausally-modulated metric tensors can significantly mitigate decoherence and yield enhanced coherence amplitudes against environmental noise.
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.
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
This manuscript introduces a unified theoretical and empirical framework proposing that fundamental physical laws, gauge symmetries, and cosmological dynamics emerge as algorithmic resource-optimization protocols operating on an information-bounded substrate. By bridging quantum information theory, discrete lattice physics, and the Two-State Vector Formalism (TSVF), the paper transitions computational ontologies from speculative metaphysics into mathematically formalized, experimentally falsifiable physics. Key Frameworks & Contributions: Algorithmic Resource Optimization & Substrate Invariants: We map foundational principles to computational conservation laws: the Principle of Stationary Action (
δS=0) to dynamic programming; invariant light-cone speed (
c) to distributed causal latency; and quantum superposition to procedural deferred state resolution. We introduce formal substrate calibration parameters, including the information rest-mass invariant (
Mi≈2.91×10−40 kg at
300 K), holographic spacetime code distance density (
Dcode), and multi-fidelity coarse-graining bounds (
ΩMF). Algorithmic Quantum Dynamics & State-Space Pruning: We formulate Algorithmic State-Space Pruning, establishing that quantum microstate branching in open systems is biased toward algorithmically compressible states governed by a Solomonoff-Levin distribution, modifying microcanonical equiprobability in non-isolated regimes. Post-Selected Quantum Cosmology (POQCO): Within a unimodular gravity framework, late-time cosmic acceleration is derived directly from a future cosmological boundary constraint (macroscopic post-selection), eliminating the necessity of an ad hoc dark energy fluid or cosmological constant
Λ. We extract explicit cosmographic signatures, predicting an effective phantom divide crossing (
w<−1 at
z≈0.5) and a characteristic discontinuous jerk parameter (
j≈3). Four Falsifiable Empirical Protocols: To subject the framework to immediate laboratory and observational verification, we detail four experimental designs: • Quantum Computing: A 128-qubit superconducting transmon processor under ergodic Floquet drives to measure low Kolmogorov-complexity bitstring branching excesses across
106 shots. • Optomechanical Metrology: A cryogenic 4-pulse radiation-pressure Fabry-Pérot cavity coupled to a stoichiometric silicon nitride (
Si3N4) membrane to detect anomalous geometric phase shifts (
ΔΘ) from minimal-length commutator deformations. • Cold-Atom Interferometry:
87Rb atomic drift tubes utilizing non-destructive weak measurements to isolate terminal boundary-induced peak acceleration (
aweak). • Observational Cosmography: Testing POQCO kinematic transition regimes against high-redshift datasets from the Nancy Grace Roman Space Telescope, DESI Baryon Acoustic Oscillations (BAO), and Cosmic Chronometers.
Precise control of multi-qubit architectures remains a critical bottleneck in superconducting quantum processors. In this work, we investigate the synthesis of high-fidelity quantum operations and state transfer protocols within an extended superconducting linear chain, scaling from three to seven sites. Using Floquet theory, we model the periodic drive as a train of delta-like pulses, mapping the quantum control problem onto quasi-energy resonance conditions. Combining the Baker-Campbell-Hausdorff expansion with Floquet spectral decomposition, we analytically identify optimal driving parameters, refined via the Covariance Matrix Adaptation Evolution Strategy (CMA-ES). In the three-qubit architecture, this enables high-fidelity synthesis of the iSWAP gate. Extending to a seven-site chain, we implement periodic trains of finite-width Gaussian pulses to activate distinct double-excitation transport channels with ultra-short gate durations t_gate (~170 ns). This achieves a clear scale separation from energy-relaxation times (T1) typical of fixed-frequency transmon devices with tunable couplers, such as IBM Quantum hardware. Finally, we benchmark stability under realistic imperfections, revealing a heightened sensitivity to static parameter disorder at the sub-percent level (eta ~ 10^-3) driven by spectral crowding, and discuss how closed-loop topologies could mitigate this constraint. This framework bridges time-periodic control theory and practical quantum gate engineering.