The Philosophy of Vacuum Part 27. Physicists will find it extremely interesting, covering, as it does, technical subjects in an accessible way. For those with the necessary expertise, this book will provide an illuminating and authoritative exposition of a many-sided subject." -John D. Barrow, Times Literary Supplement. | Theory of Vacuum 253 2 Basic Principles The main guiding principles that have evolved in this process of theory development are a form of monism and as mentioned above locality superposition relativity and finiteness. Topological Monism There is just one activity going on in the world whose fine structure we must determine. The topology of this activity is the only physical variable there is. The quantum topology of QND is based upon a quantum set theory as classical topology is based on classical set theory the underlying elements of quantum set theory anticommute rather than commute. The foundation of Peano s classical set theory as well as of his theory of the natural numbers which may be read as the classical theory of a discrete future time axis is an operator i which forms the unit set io. a from any set a. In Section adjoin a quantum i to the usual quantum linear space kinematics and Grassmann product. In QND i is the causal successor operation. Locality Locality of the Einsteinian kind is the principle that fundamental concepts and laws connect events only to their infinitesimal neighbourhood. More abstractly put a class or property P of fields on a manifold is said to be local if for every field is in P if and only if for every point p of the manifold there is a neighbourhood N of p and a field y in P such that f fN on N. For example any property expressed by a differential equation of finite order with respect to space-time coordinates is a local property the concept of a scalar field is a local concept and the concept of a coordinate system is non-local since it is not enough to verify its 1-1 property one neighbourhood at a time. Locality convinced Newton that his own beautiful and powerful theory of gravity was merely phenomenological rather than fundamental leaving it to Einstein to provide the first plausible local theory of gravity. Today experimental verifications of locality and superposition whose results go beyond any classical .
