Dimensionality
John David Barrow · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1983
Abstract We examine the role played by the dimensions of space and space-time in determining the form of various physical laws and constants of Nature. Low dimensional manifolds are also seen to possess special mathematical properties. The concept of fractal dimension is introduced and we discuss the recent renaissance of Kaluza-Klein theories obtained by dimensional reduction from higher dimensional gravity or supergravity theories. A formulation of the anthropic principle is suggested.