Triphasic Entropy of Time (TET): A Falsifiable Test of Informational Entropy Dependence in Open Quantum Systems

Eduardo R.

This preprint introduces the Triphasic Entropy of Time (TET), a phenomenological and effective framework that treats entropy as the primary physical quantity underlying what we perceive as time. TET organizes entropy into three regimes (past as fixed entropy, present as changing entropy, future as pre-conditioned entropy) and proposes a minimal toy model that weights transition probabilities by an effective entropic cost, consistent with Lindblad dynamics. The framework predicts that the informational entropy of the environment may induce measurable biases in decoherence rates and outcome probabilities beyond standard predictions. Experimental proposals using superconducting qubits are discussed to test this idea. This work is presented as an initial phenomenological exploration and is intended to stimulate further theoretical and experimental investigation.

K. Lendi

Arle Andino Reyes

Arandino v4.0: Triphasic Prism and Light Coefficient — Welcome to Quantum Computing from Home (Version 1) This work presents Arandino v4.0, a self-reflective triphasic prism system developed by Arle Andino Reyes. It transforms digital information into a coherent crystal of informational matter by treating data as dispersed light, refracting it through alpha, gamma, and beta phases, and applying helical condensation. We formally introduce the Arandino Light Coefficient (Λ), a physical property that quantifies the conservation of information identity after its opto-geometric transmutation. The system achieves reconstruction fidelity of up to 99.88% on images and effective compression exceeding 12:1 on structured data. This document represents Version 1 (pre-PC test) and constitutes the intellectual property of Arle Andino Reyes. All rights reserved. Patent Pending in Honduras and preparation for USPTO (United States). DOI: 10.5281/zenodo.19408559 Keywords: Arandino, triphasic prism, informational crystal, light coefficient, quantum computing from home, data transmutation, specular reflection, analog quantum optics. © 2026 Arle Andino Reyes — Arandino Research Lab

Carlton M. Caves

Statistical entropy measures the information one does not have about a physical system.

Melhem S. Hamadé

We derive a parameter-free, falsifiable inequality linking entropy production, Fisher information, and spatial dispersion for systems undergoing free diffusion. The result follows from the matrix Cramér–Rao bound combined with De Bruijn’s identity and holds at all times for probability densities evolving under the diffusion equation ∂ₜρ = TΔρ. Gaussian states saturate the bound, while all other initial conditions obey it strictly. The inequality provides a direct experimental test of the information-geometric structure underlying thermodynamic response and can be validated using reconstructed density profiles in ultracold-atom experiments. This preprint is deposited on Zenodo to establish priority and enable open access prior to journal submission.

Tiziano Demaria