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This book presents a fully scientific account of the use of the golden ratio. It explores the observation that stable nucleides obey a number theory based general law. The discovery described in this book could be of seminal significance, also in other fields where the golden ratio is known to be of fundamental importance.Philosophers have long speculated that a link exists between natural numbers and the physical world...§Pythagoras:"...all is number"§John Dalton (1803):"...Atoms combine in simple numerical ratios..."§Prout s hypothesis, published anonymously in 1815:"...the elements are different aggregates of the atoms of primordial hydrogen..."§Alexandre Émile Beguyer de Chancourtois (1862):"...the properties of the elements are the properties of numbers..."§William Harkins (1921):"...the ratio Z/(A - Z) never exceeds the value 0.62 in atomic species..."§Within this book, readers with an interest in mathematics, science or natural philosophy will find this expectation addressed...