Rendered Frame Theory A Dissipative Field Theory of Observer Dependent Quantum Measurement

Rendered Frame Theory (RFT) — Numerical Validation Dataset and Simulation Code This archive contains the complete numerical validation suite for Rendered Frame Theory (RFT), including: the Python simulation engine implementing the RFT evolution equations the leapfrog integrator, finite‑difference Laplacian, and hard‑saturation projection the four‑panel validation figure (Axiom 6, Dissipation Theorem, Attractor Convergence, Phase‑Space Flow) the full time–energy–momentum dataset used in the manuscript reproducible code for generating all numerical results in the paper the supplementary document What Is an Observer? providing the formal observer definition used in RFT The dataset verifies the core analytical predictions of RFT: hard saturation of the coherence field at ∣Φ∣ ≤ 2 (Axiom 6) strict energy dissipation under the damping term −γΠ exponential decay of momentum toward the stationary manifold phase‑space contraction and convergence to the global attractor agreement between numerical and analytical collapse‑torque structure All results are fully deterministic and reproducible using the included Python script. What is an Observer in RFT? In Rendered Frame Theory, an observer is a dynamical subsystem that couples to the coherence field Φ(x,t) through a spatial kernel and a memory‑dependent response. An observer: samples the field through a localized kernel accumulates a decaying memory signal modulates the local potential and resistance terms generates collapse torque through its responsiveness drives the system toward a stationary measurement outcome Observers are not external agents but embedded dynamical components whose interaction with Φ produces measurement trajectories, collapse dynamics, and attractor selection. Contents RFT_validation_data.csv — time, total energy, and momentum‑norm dataset rft_simulation_suite.py — full simulation engine RFT_Validation_Plot.png — four‑panel validation figure README.md — instructions for running the simulation what_is_a_observer.pdf — supplementary document defining the observer in RFT Scientific Purpose This archive is released strictly for scientific validation, peer review, reproducibility, and independent verification of the RFT dynamical framework. No commercial use is permitted. Citation If you use this dataset or code, please cite: L. S. Grinstead (2026). Rendered Frame Theory: A Dissipative Field Theory of Observer‑Dependent Quantum Measurement. Zenodo. DOI: 10.5281/zenodo.19784868 Author Liam S. Grinstead ORCID: https://orcid.org/0009-0000-5930-7152