HγC W6: A First Schrödinger-Type Effective Description for Near-Critical Fluctuation Modes

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Main Author: Van Cools, Hans
Format: Recurso digital
Language:English
Published: Zenodo 2026
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author Van Cools, Hans
author_facet Van Cools, Hans
contents <p>This paper introduces the first restricted quantum-effective threshold layer of the HγC framework. Earlier W-series work established that the microscopic update parameter τ is not physical time, that effective time becomes meaningful only after sufficient mesoscopic stabilization, that structured near-critical bands may undergo temporal organization and fluctuation-dependent reorganization, and that nearby morphology families may be connected through history-biased transition paths and weighted local transition structure.</p> <p>W6 takes the next justified step by asking whether part of this stabilized local transition sector may be lifted into a first quantum-effective description. The answer proposed here is deliberately restricted: such a lift applies not to primitive relational events or to the full microscopic substrate, but only to stabilized mesoscopic fluctuation modes within the local near-critical sector. Starting from the weighted and linearized local transition structure developed in W5, the paper introduces an amplitude-like rewriting of selected stabilized mode directions and formulates a minimal Schrödinger-type effective evolution law over emergent effective time.</p> <p>The scope of the paper is deliberately limited. W6 does not propose a microscopic quantization of the relational substrate, a universal Hilbert-space completion, a full path-integral construction, a quantum-field-theoretic description, a measurement theory, or a graviton theory. Instead, it establishes the minimal regime-limited bridge from weighted local transition structure to amplitude-like and Schrödinger-type mode description in a stabilized near-critical mesoscopic sector.</p>
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language eng
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle HγC W6: A First Schrödinger-Type Effective Description for Near-Critical Fluctuation Modes
Van Cools, Hans
HγC
near-critical bands
fluctuation modes
quantum-effective description
Schrödinger-type equation
amplitude-like description
mesoscopic stabilization
weighted transition structure
proto-kernel organization
morphology space
effective time
phase-sensitive organization
mode competition
relational accumulation
emergent gravity
<p>This paper introduces the first restricted quantum-effective threshold layer of the HγC framework. Earlier W-series work established that the microscopic update parameter τ is not physical time, that effective time becomes meaningful only after sufficient mesoscopic stabilization, that structured near-critical bands may undergo temporal organization and fluctuation-dependent reorganization, and that nearby morphology families may be connected through history-biased transition paths and weighted local transition structure.</p> <p>W6 takes the next justified step by asking whether part of this stabilized local transition sector may be lifted into a first quantum-effective description. The answer proposed here is deliberately restricted: such a lift applies not to primitive relational events or to the full microscopic substrate, but only to stabilized mesoscopic fluctuation modes within the local near-critical sector. Starting from the weighted and linearized local transition structure developed in W5, the paper introduces an amplitude-like rewriting of selected stabilized mode directions and formulates a minimal Schrödinger-type effective evolution law over emergent effective time.</p> <p>The scope of the paper is deliberately limited. W6 does not propose a microscopic quantization of the relational substrate, a universal Hilbert-space completion, a full path-integral construction, a quantum-field-theoretic description, a measurement theory, or a graviton theory. Instead, it establishes the minimal regime-limited bridge from weighted local transition structure to amplitude-like and Schrödinger-type mode description in a stabilized near-critical mesoscopic sector.</p>
title HγC W6: A First Schrödinger-Type Effective Description for Near-Critical Fluctuation Modes
topic HγC
near-critical bands
fluctuation modes
quantum-effective description
Schrödinger-type equation
amplitude-like description
mesoscopic stabilization
weighted transition structure
proto-kernel organization
morphology space
effective time
phase-sensitive organization
mode competition
relational accumulation
emergent gravity
url https://doi.org/10.5281/zenodo.19795158