SHORT RESEARCH PAPER GEOMETRIC COMPLETION OF THE COSMIC INTERMEDIATE SCALE AND THE DISSIPATION LIMIT OF BLACK HOLES

简短研究论文：宇宙中间尺度的几何完备性与黑洞的耗散极限

Andrea Salucco, Z-Prime (Google) (2026) SHORT RESEARCH PAPER GEOMETRIC COMPLETION OF THE COSMIC INTERMEDIATE SCALE AND THE DISSIPATION LIMIT OF BLACK HOLES Zenodo

Abstract

Core Perspective: Scaling Discontinuity and Physical Corrections of "Fibonacci Broken Numbers."________________________________________1. OBSERVATIONAL CONTEXT: THE SCALING GAPIn current astrophysics, there is a prominent discontinuity in the distribution of cosmic structures:• Microscopic Limit: Planck Length (~10^-35 m)• Stellar-Mass Black Holes: ~10^4 to 10^5 m• Supermassive Black Hole Upper Limit: ~10^14 to 10^15 m (Predicted by King et al.)• Global Cosmic Limit: Hubble Radius R_H (~10^26 m)A theoretical scale defining the physical boundary of a "singular gravitational entity" is missing between 10^15 m and 10^26 m.________________________________________2. CORE DISCOVERY: GEOMETRIC COMPLETION VIA R_H^(3/4)This paper proposes that the scale derived through geometric projection—R_max = R_H^0.75 ≈ 3.9 x 10^19 m—precisely completes the "intermediate scale" within the aforementioned gap.This scale is not merely a mathematical result; it possesses clear observational characteristics:• Physical Nature: It represents the maximum linear range where gravitational consistency can maintain synchronization.• Observational Target: The Great Attractor. Its range of influence and structural scale align significantly with this predicted value.________________________________________3. NUMBER THEORY INSPIRATION: "BROKEN NUMBERS" AND COSMIC STABILITYThis research observes that the stability of the universe may stem from mathematical "imperfection":• The Broken Mechanism: Cosmic evolution resembles the expansion of the Fibonacci sequence, but "Broken Numbers" exist at critical nodes (e.g., the 4 between 3-5, or the 6-7 between 5-8).• The Correction Mechanism: When a physical structure reaches a mathematical breaking point (the 10^19 m scale), simple linear reasoning fails. The universe introduces a "Dissipation Mechanism," transforming concentrated black hole horizons into diffused gravitational fields (such as the Great Attractor). This avoids logical "dead loops" and maintains the dynamic equilibrium of the cosmic web.________________________________________4. CONCLUSION: A SHIFT IN OBSERVATIONAL PERSPECTIVEDefining the maximum black hole size as R_H^(3/4) allows a shift from "food source constraints" to "geometric logic constraints." This not only predicts the dissipation size of black holes but also explains why the universe presents a "bubble-like" rather than a "total-collapse" morphology on a large scale.

核心视角：尺度不连续性与“斐波那契数列断裂”的物理修正。________________________________________1. 观测背景：尺度差距 在当前的宇宙物理学中，宇宙结构的分布存在显著的不连续性：• 微观极限：普朗克长度（~10^-35 米）• 恒星级黑洞：~10^4 至 10^5 米• 超大质量黑洞上限：~10^14 至 10^15 米（King 等人预测）• 全局宇宙极限：哈勃半径 R_H（~10^26 米）在 10^15 米和 10^26 米之间，缺少一个定义“奇异引力实体”物理边界的理论尺度。________________________________________2.核心发现：通过 R_H^(3/4) 实现几何补全 本文提出，通过几何投影推导出的尺度——R_max = R_H^0.75 ≈ 3.9 x 10^19 m——能够精确地补全上述间隙中的“中间尺度”。该尺度并非仅仅是一个数学结果；它具有清晰的观测特征：• 物理性质：它代表了引力一致性能够维持同步的最大线性范围。• 观测目标：巨引源。其影响范围和结构尺度与该预测值高度吻合。________________________________________3.数论的启发：“断裂数字”与宇宙稳定性 这项研究观察到，宇宙的稳定性可能源于数学上的“缺陷”：• 断裂机制：宇宙演化类似于斐波那契数列的展开，但在关键节点处存在“断裂数字”（例如，3-5 之间的 4，或 5-8 之间的 6-7）。• 修正机制：当物理结构达到数学上的断裂点（10^19 米尺度）时，简单的线性推理失效。宇宙引入了一种“耗散机制”，将集中的黑洞视界转化为弥散的引力场（例如巨引源）。这避免了逻辑上的“死循环”，并维持了宇宙网的动态平衡。________________________________________4.结论：观测视角的转变 将黑洞最大尺寸定义为 R_H^(3/4) 使得我们可以从“食物来源限制”转向“几何逻辑限制”。这不仅可以预测黑洞的耗散尺寸，还可以解释为什么宇宙在大尺度上呈现出“气泡状”而非“完全坍缩”的形态。

Links

https://doi.org/10.5281/zenodo.19563862
http://dx.doi.org/10.5281/zenodo.19563862

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