A Wormhole Error-Kernel with Tension, Blind-Spot and Seek Functions: A Conceptual Proposal and Exploratory Toy Simulation of the Black Hole Page Curve

Abstract

This record documents the authors' original hypothesis and first exploratory run exactly as performed, together with the raw output data and the simulation source code. It does not claim a resolution of the black hole information paradox. Taking two ideas from the authors' WERR decision engine, the treatment of error as a carrier of information and a ℤ/9ℤ residue grid, we carry them over to the black hole information paradox at the level of a conceptual proposal, and document a first exploratory numerical run. The proposal comprises a wormhole error-kernel invariant Kerror, which conjectures that information crossing the horizon is retained in a compact modular residue space rather than erased, and three horizon functions: tension (𝒯), blind spot (ℬ) and seek (𝒮). We define these functions operationally through Page's information measure, under which blind spot and seek are complementary at every instant. We also formalize the authors' geometric picture, the horn–sphere model, in which continuous rotation of an ellipsoidal shell about a throat between two black holes yields a bounded, non-repeating circulation, the "infinity pool". The exploratory run (dual Intel Xeon E5-2630 v4, 40 threads) produced 40,000 time samples of a Hawking-type reference, a reference Page curve and a model trajectory (labelled "WERR" in the output files). It reported a vanishing final entropy for the model trajectory, R2 = 0.9822 (RMSE = 214.18) against the reference Page curve, unit final purity, and a horizon stress index of 1.35 against a firewall reference of 773.67. The released source code and trajectories show that the model curve follows a prescribed piecewise form, linear up to t = 0.5 and proportional to (1 − t)2/3 thereafter, modulated by small periodic ripples. The Page-like shape, the vanishing final entropy and the unit purity are therefore consequences of the model's construction rather than emergent results. Between t = 0.5 and t ≈ 0.57 the trajectory also exceeds the coarse-grained radiation entropy, which no physical fine-grained entropy can do. We accordingly present the run as an illustration of the hypothesis, not as evidence that the paradox is resolved. All raw data are released with a verifiable SHA-256 digest; re-executing the released source reproduces every reported metric. The paper sets out the steps required for a genuine test in version 2. Files in this record Dagli_2026_Wormhole_Error-Kernel_Page_Curve_preprint_v1.pdf: the preprint, with an extended abstract in Turkish BLACKHOLE_PAGE_CURVE_SIMULATION_REPORT.json: raw run output (parameters, metrics, 50 sampled points per trajectory) WERR_QUANTUM_PAGE_CURVE_SEAL.json: integrity manifest (SHA-256 of the raw output: c979a95842688ea9c671dbb1a1236bc32a463b300a7f21b9091bb870682b2564) simulate_blackhole_page_curve_40cores.py: simulation source code, as executed run_console_log.txt: console output of the run server_specification.md: hardware and software configuration of the host Related work by the authors Mandelbrot Fractal Neural Synthesis: 10.5281/zenodo.22867037 Orbital Error Dynamics: 10.5281/zenodo.22900465 Universal Fractal Natural Language Decision Map: 10.5281/zenodo.22939253 Werracle: 10.5281/zenodo.22942599 Use of AI tools: the simulation code was generated by an AI coding agent operated by the authors; the manuscript was drafted with the assistance of Claude (Anthropic). The authors reviewed the work and take full responsibility for its content.