Operational Measurement of the One-Way Light Velocity via Topological Phase Steering \\ \large \small Emphasis on RSFL protocol, Quantum Anticipation/Reflection Paradox and the Topological Phase Signalling Theorem in Holographic

Operational Determination of One-Way Light Velocity via Holographic Topological Phase Steering: A New Metrological Paradigm. Description: This collection documents a novel metrological protocol that resolves the long-standing impasse regarding the operational measurement of the one-way speed of light. Since Einstein's 1905 convention, the measurement of light velocity in a single direction has been considered physically indistinguishable from the choice of a synchronization gauge (Reichenbach’s $\epsilon$). We present here a theoretical framework—anchored in the Quantum Anticipatory Reflection Paradox, the Topological Phase Signalling Theorem (TPST), and its Holographic Extension—that breaks this circularity. By utilizing a Recirculating Sagnac Fiber Loop (RSFL) prepared in a global coherent collective mode, we demonstrate that topological phase steering acts as an absolute geometric clock, independent of classical light-cone propagation. The core of this work lies in the derivation of the trace distance observable $\mathcal{D}(\epsilon)$, which permits the operational isolation of the anisotropy parameter $\epsilon$. Through the mapping of the boundary phase functional $\phi[\rho]$ onto the bulk geometry via the Ryu-Takayanagi surface area operator $\hat{\mathcal{A}}(\gamma_B)$, we show that the bulk metric provides a non-local simultaneity reference. This allows for the first-ever operational, anisotropy-sensitive measurement of the one-way speed of light, effectively rendering $\epsilon$ a physical observable rather than a conventional degree of freedom. This research represents a fundamental shift: it moves the one-way speed of light problem from the realm of philosophical convention into the domain of high-precision quantum gravity metrology. The proposed Differential Holographic Interferometry (DHI) protocol offers a robust experimental path toward testing the isotropy of the vacuum at the interface of quantum information and emergent spacetime geometry. "This manuscript provides the first operational protocol capable of bypassing the Einstein synchronization convention, demonstrating that the one-way speed of light is an experimentally accessible property of emergent bulk geometry." This manuscript is current in Official Peer Review. Not final version.Copyright©2026 Alex De Giuseppe.All rights reserved. This work is protected by copyright. Any form of plagiarism, unauthorized reproduction, or misappropriation of ideas, mathematically results, or text without proper citation constitutes a violation of academic and intellectual property standards and common laws. No commercial use, adaptation, or derivative works are permitted without explicit written permission from the author. For correspondence, citations, collaboration inquiries, or feedback please contact:[e-mail] The hash files that determine ownership have been created