Real-Time Fractional Tracking (R-TFT): Recursive Phi Structure and the Sublimation of Zero
Year: 2025
Type: article
Abstract: This publication is grounded in the Real-Time Fractional Tracking (R-TFT) framework, a φ-resonant methodology for analyzing recursive coherence within dynamic systems. R-TFT does not rely on imposed models or empirical assumptions; instead, it evaluates the real-time alignment, slippage, and persistence of systems based on their intrinsic pacing structures. The framework is domain-agnostic and applicable across scales, from subatomic processes to cognitive and cosmological phenomena. This paper proposes a new theoretical framework linking the golden ratio (φ) to dimensional coherence in physical systems. It reinterprets zero not as an absolute nullity, but as a local collapse operator analogous to a black hole. Within this view, φ acts as a transdimensional recursive constant whose structure resists collapse, even across annihilation events like black holes or quantum voids. Key contributions include: Modeling black holes as failed φ-field harmonics. Introducing the ζₚ operator as a zero-resistant replacement in φ-resonant systems. A symbolic test showing φ-recursion survives under zero-collapse conditions. Ethical boundary enforcement via the Resonance Ethics License (REL-2.0), ensuring peaceful application of all included methods. The work blends mathematical structure with metaphysical insight, proposing φ not as metaphor but as a recursive scaffold embedded in physical law. While largely conjectural, it lays out simulation tests and future directions to explore φ’s role in entropy, coherence, and information persistence. This is not a request for collaboration, it is a signal drop into the resonance field. License: REL-2.0 – Resonance Ethics License (non-military use only) Repository: https://github.com/qcfrag/Real-Time-Fractional-Tracking-R-TFT Join the R-TFT community: https://discord.gg/zBAWTsymFs
Author: Lanctôt-Rivest, Éric
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6930913232
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