An open library on ancient measurement, resonance and water. Every entry shows its sources, its method and its status, and results are published whether they are positive or not.
New: thirty-six monographs, free to read in English and Chinese ↓Start here · 从这里读起: 5DL-B-033 Scientific Methodology, Falsifiability and the Mathematical Statistics of the Replication Crisis · 《科学方法论、可证伪性与可重复性危机的数理统计》 — the method behind every book in this library: why each one separates evidence, derivation and hypothesis and ends with a pre-registered trial. 全系列的方法论总纲。
Bilingual, version 1.0.0, each with a DOI on Zenodo · 中英双语，在线全文免费阅读
拉马努金的直觉与现实矩阵
Ramanujan's Intuition and the Matrix of Reality
Fan Yafu 范雅福
Reading Human Destiny through Higher-Dimensional Mathematics and the Equations of Physics
Ten of Ramanujan's structures, from Ramanujan summation to the Rogers–Ramanujan identities, each set beside a teaching from the Daoist, Buddhist, Confucian or yogic traditions, with runnable Python checks.
十个拉马努金数学结构与一句东方教法并置，引出「减、观、令」的注意力练习。
反闻闻自性
Turning the Hearing Inward
Fan Yafu 范雅福
A Bioacoustic Study of the Ergen Yuantong Listening Method · 耳根圆通法的生物声学研究
The Śūraṅgama Sūtra's passage on turning the hearing inward, read beside bone conduction, the stapedius reflex and vocal-tract resonance, with a four-week practice and a pre-registered protocol.
《楞严经》耳根圆通与听觉科学、嗓音声学并读：声学解耦、反闻、零点发声三阶段。
神圣肘尺与谐振几何
The Sacred Cubit and Resonant Geometry
Fan Yafu 范雅福
Measuring the Egyptian Royal Cubit, the Quarter Wave and the Bifilar Ring
Five measurable questions about the royal cubit: museum rod lengths, λ = c/f resonances, twisted copper rings, orthogonal ring geometry, and a home bench with NanoVNA and RTL-SDR.
从都灵、卢浮宫、大英博物馆的肘尺实物出发，用可复现的测量回答五个问题。
欲望的热力学
The Thermodynamics of Desire
Fan Yafu 范雅福
Entropy, Dopamine Prediction Error and Dissipative Structures in Human Bonds
Why desire cools: Boltzmann and Shannon entropy, dopamine prediction error, dissipative structures and the free-energy principle, read beside the Daoist and Buddhist idea of "leaking", with a four-week programme and a pre-registered trial.
热力学、多巴胺预测误差与耗散结构并读，解释亲密关系为何冷却，以及怎样维持负熵流。
断食、酮体与注意力的代谢基础
Fasting, Ketones and the Metabolic Basis of Attention
Fan Yafu 范雅福
Autophagy, β-Hydroxybutyrate and the Bioenergetics of Intermittent Fasting
Cahill's fuel switch, Ohsumi's autophagy and its limits in humans, ketones in the brain, Veech's thermodynamics checked by calculation, NAD+ and sirtuins, a model of 16:8, one meal a day and a 48-hour fast, the classical record on bigu, a four-week log and a pre-registered crossover trial. Not medical advice.
从卡希尔燃料切换、大隅良典自噬到维奇热力学的核算，附糖原-酮体模型、四周记录表与预注册交叉试验。非医疗建议。
注意力的经济学
The Economics of Attention
Fan Yafu 范雅福
Simon's Scarcity Law, Power-Law Networks and Conversion Funnels in Creator Commerce
Why attention, not content, is the scarce input: Simon's scarcity law and a daily attention budget, preferential attachment and power-law audiences, information cascades and tipping points, the funnel as an absorbing Markov chain, two-sided platforms and stacked commissions, machine-readable reputation, and the merchants of the Shiji, with a four-week attention ledger and a pre-registered trial. The author's commercial interests are disclosed in the book.
从西蒙的稀缺定律、优先连接与幂律、信息级联与阈值相变，到马尔可夫转化漏斗、双边市场与《货殖列传》，附四周注意力账本与预注册随机试验。
本草的分子与风土
Molecules and Terroir
Fan Yafu 范雅福
Polysaccharides of Dendrobium officinale, Gingerols of Zingiber officinale, A-Type Proanthocyanidins and the Mass Transfer of Freeze-Drying
What place, harvest and drying do to the molecules people buy plants for: terroir as a carbon balance, the acetylated glucomannan of Dendrobium officinale and its pharmacopoeia assay, the heat-driven turn of gingerol into shogaol, cranberry's A-type proanthocyanidins with the clinical evidence kept apart from the test tube, and the physics of freeze-drying, read beside the Shennong Bencao Jing, with a four-step batch check and a pre-registered drying experiment. Not medical advice; the author's commercial interests are disclosed in the book.
风土的碳收支、铁皮石斛乙酰葡甘露聚糖与药典测定、姜辣素向姜烯酚的热转化、蔓越莓 A 型原花青素与临床证据、真空冷冻干燥的热质传递，与《神农本草经》并读，附批次四步核查与预注册冻干实验。非医疗建议。
默认模式网络、熵脑与神经振荡
The Default Mode Network, the Entropic Brain and Neural Oscillations
Fan Yafu 范雅福
5-HT2A Receptor Kinetics, Pineal Calcite Microcrystals and the Computational Neuroscience of Meditative Attention
What the brain does when nothing is asked of it: the energy budget of the resting brain and its network hubs, the Kuramoto model of synchrony, receptor binding and the entropic brain hypothesis with the risks and limits of the clinical trials, meditation and mind-wandering, the pineal gland and its calcite, and the evidence on 40 Hz stimulation and binaural beats, read beside the Diamond Sūtra and the Platform Sūtra, with a sitting log and a pre-registered crossover trial. Not medical or legal advice; it describes no use of any controlled substance.
大脑静息能量预算与网络枢纽、库拉莫托同步、5-HT2A 受体与熵脑假说及临床试验的风险局限、禅修与走神模型、松果体与方解石、40 Hz 与双耳节拍，与《金刚经》《坛经》并读，附静坐记录表与预注册交叉试验。非医疗或法律建议。
晶体压电性、铁镍陨石与光生物调节
Crystal Piezoelectricity, Iron-Nickel Meteorites and Photobiomodulation
Fan Yafu 范雅福
Alpha-Quartz, Tourmaline Pyroelectricity, Widmanstätten Diffusion and Near-Infrared Cytochrome c Oxidase
The real physics behind stones and light, and how big it is: the piezoelectricity of quartz and the quartz resonator, the pyroelectricity of tourmaline, the Widmanstätten pattern as a record of cooling over millions of years, light in tissue, cytochrome c oxidase and the biphasic dose, the Schumann resonances and earthing, read beside Shen Kuo's fallen star of 1064, with four physical checks and a double-blind trial against a heat-matched sham. Not medical advice; it claims no healing power for any stone, meteorite or device.
石英压电与谐振器、电气石热释电、魏德曼花纹记录的百万年冷却、组织光学与近红外穿透、细胞色素 c 氧化酶与双相剂量、舒曼共振与接地，与沈括常州陨星、《云林石谱》并读，附四项物理检测与等热量假照射双盲试验。非医疗建议。
Newest · 最新: 5DL-B-036 Scaling Laws, Allometric Growth and the Statistical Physics of Organisational Metabolism · 《规模法则、异速生长与组织新陈代谢的统计物理》 · DOI 10.5281/zenodo.23788553
5DL-B-035 Evolutionary Game Theory, Direct and Indirect Reciprocity and the Emergence of Cooperation · 《演化博弈、直接与间接互惠及合作涌现的数学模型》 · DOI 10.5281/zenodo.23788551
5DL-B-034 Psychophysics, the Weber-Fechner Law and Optimal Bayesian Multisensory Integration · 《心理物理学、韦伯-费希纳定律与多感官贝叶斯整合的数学模型》 · DOI 10.5281/zenodo.23788548 · full catalogue, 5DL-B-001 to 036 ↓
Primary and scholarly sources on the Egyptian royal cubit, the Norse ell, Teotihuacan's 83 cm unit and other units of length.
Tuning standards and studies on 432 Hz and 528 Hz, read against the international standard pitch.
Pre-registered, blinded protocols for exposure experiments, published before any data is collected.
Raw NanoVNA sweeps and measurements of copper rings and rods, in a fixed CSV format.
IDs: B book, M metrology, A acoustics, P protocol, D dataset. Status is one of in preparation, draft, published, awaiting data or replicated.
The international standard pitch is A = 440 Hz, set by ISO 16 and last confirmed in 2022 (ISO 16:1975). Tuning A to 432 Hz lowers every note by about 31.8 cents, roughly a third of a semitone. In standard tuning the C above A440 is 523.25 Hz, so 528 Hz sits about 15.6 cents above it.
The library collects studies on both frequencies with their methods, sample sizes and limitations, and keeps them separate from interpretation.
Books and data are published under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0). Cite entries as: Author (year). Title. 5D Library, ID. URL.
Cite a book with its DOI, for example: Fan, Y. (2026). The Sacred Cubit and Resonant Geometry (Version 1.0.0). 5D Library, 5DL-B-003. https://doi.org/10.5281/zenodo.23666560
Email yafu.fan@gmail.com with the entry, its sources and any raw data.