What if the geometry carved into ancient Celtic stone crosses encodes the architecture of the Solar System?
In Scala Harmonica, Salah-Eddin Gherbi proposes that planetary orbital spacing follows a precise harmonic sequence derived from the Silver Ratio - a mathematical constant embedded in the geometry of the Celtic Cross. Across nine planets and a predicted missing body between Mars and Jupiter, the model achieves a mean error of just 0.72%, an eightfold improvement over Kepler's nested solids and a threefold improvement over the classical Titius-Bode law.
This is not numerology. The harmonic formulas are testable, the deviations measurable, and the predictions falsifiable. What emerges is a coherent geometric framework suggesting the Solar System may have been shaped by a deeper resonance principle - one that connects sacred geometry, celestial mechanics, and the mathematics of musical harmony.
At the heart of the framework lies a simple construction: a 3? grid of equal squares, from which a family of concentric circles generates four harmonic constants. These constants - all rational functions of √2 - reproduce the orbital distances of every known planet with sub-percent accuracy, and anticipate a harmonically necessary body at 2.14 AU, in the region of the asteroid belt, which the author calls Harmonia.
Drawing on the traditions of Kepler, Pythagoras, and the ancient stonemasons who encoded proportion in stone, Scala Harmonica asks a question that is both ancient and urgently modern: does the universe have an underlying harmony, and did our ancestors already know its shape?
Written for curious readers at the intersection of astronomy, mathematics, and ancient geometry, the book requires no specialist background. Each chapter builds the framework step by step - from the geometry of the Celtic Cross, through the algebra of the Silver Ratio, to a complete harmonic model of the Solar System and its implications for planetary science.
An accompanying research paper providing the full statistical analysis and the falsifiability framework is available open access on Zenodo.
The pattern was always there. The cross was the key.
Salah-Eddin Gherbi is an independent researcher whose work explores the mathematical foundations of ancient geometric traditions.
外文書商品之書封，為出版社提供之樣本。實際出貨商品，以出版社所提供之現有版本為主。部份書籍，因出版社供應狀況特殊，匯率將依實際狀況做調整。
無庫存之商品，在您完成訂單程序之後，將以空運的方式為你下單調貨。為了縮短等待的時間，建議您將外文書與其他商品分開下單，以獲得最快的取貨速度，平均調貨時間為1~2個月。
為了保護您的權益，「三民網路書店」提供會員七日商品鑑賞期(收到商品為起始日)。
若要辦理退貨，請在商品鑑賞期內寄回，且商品必須是全新狀態與完整包裝(商品、附件、發票、隨貨贈品等)否則恕不接受退貨。
