Quantitative Derivation of Cosmic Medium Parameters Based on Graviton Scale Boundary

Abstract Based on the graviton scale interval locked by dual constraints of gravitational wave observation and Planck quantum boundary, this paper breaks through the qualitative research limitation of traditional quantum gravity. Taking the deterministic microscopic lower limit and macroscopic coherence upper limit of gravitons as core quantitative anchors, combined with the basic rules of cosmic fluid dynamics, this paper conducts full-scale quantitative derivation of key underlying medium parameters. This study systematically calculates the cosmic number density of graviton media, mean free path, basic pressure benchmark, field pressure gradient rule, and the fluid quantitative origin of inertial mass, and completes the numerical matching verification with macroscopic gravitational constants and cosmic basic physical quantities. The research realizes the comprehensive upgrade of the FQ gravitational pressure system from qualitative logical self-consistency to quantitative calculability, fills the long-standing blank of numerical quantization of microscopic gravitational media in fundamental physics, and provides accurate, verifiable, and engineering-applicable basic quantitative parameters for unified field theory and cosmic spacetime mechanism research. Key words: graviton scale boundary; cosmic medium parameter; quantitative derivation; fluid gravitational pressure; quantum gravity; unified field quantization 摘要 本文依托引力波观测与普朗克量子边界双向约束所锁定的引力子尺度区间,突破传统量子引力的定性研究局限。以引力子微观下限与宏观相干上限的确定性尺度边界为核心量化锚点,结合宇宙流体动力学基本规则,对时空底层介质关键参数开展全域量化推演。系统求解引力子介质宇宙数密度、平均自由程、基础压强基准、场压梯度规律以及惯性质量的流体量化本源,并完成与宏观引力常数、宇宙基础物理量的数值匹配校验。本研究实现FQ引力压体系从定性逻辑自洽到定量可计算的全面升级,补齐基础物理领域微观引力介质长期缺失的数值量化空白,为统一场理论、宇宙时空机制研究提供精准、可校验、可工程落地的基础定量参数。 关键词:引力子尺度边界;宇宙介质参数;量化推演;流体引力压;量子引力;统一场量化