We aim to combine the semantics of spatial natural language specified as a linguistically motivated ontology, the Generalized Upper Model, with spatial logics or ontologies that specify space according to certain conceptualisations, based on regions, shapes, orientations, distances, or object properties. Such combinations, however, introduce uncertainties of various kinds, caused by different l...

Based on a discussion of the theory experiment connection, it is proposed to tighten the connection by replacing the real and complex number basis of physical theories by sets R n , C n of length 2n finite binary string numbers. The form of the numbers in R n is based on the infinite hierarchy of 2n figure outputs from measurements of any physical quantity with an infinite range (distance, ener...

In an nonabelian gauge theory, two or more distinct gauge potentials can correspond to the same field strength. As only field strengths are measurable, it is impossible to know exactly which gauge potential is actually at work in a given physical system. This is the Wu-Yang ambiguity [26], whose importance comes from the fact that, in quantum field theory, the fundamental fields are the gauge p...

The non-commutative geometric construction of A. Connes [1-5] has been successful in giving a geometrical interpretation of the standard model as well as some grand unification models. Our lack of ability to quantize the non-commutative actions forced on us to quantize the classical actions resulting from the non-commutative ones by adopting the usual rules. The symmetries that might be present...

where FCb (Lx(M)) denotes the set of the smooth cylindrical functions and ∇(i) denotes the covariant derivative with respect to the i−th variable. Also τ(γ)t : TxM → Tγ(t)M is the stochastic parallel translation along γ. Among Riemannian connections, we restrict ourselves to the torsion skew symmetric (=TSS in short) connection, Namely the torsion T must satisfy that g(T (X, Y ), Y ) = 0. for a...

Asking that the metric of a complex Finsler space should be strong convex, Abate and Patrizio ([1]) associate to the real tangent bundle a real Finsler metric for which they analyze the relation between Cartan (real) connection of the obtained space and the real image of Chern-Finsler complex connection. Following the same ideas, in the present paper we shall deal with the more general case of ...

The use of an Interim Connection Space (ICS) is proposed as a means for extending the concept of device independent color management to support spectral imaging. Color management, in its standard practice, relates color rendering capability of devices through a Profile Connection Space (PCS). The International Color Consortium (ICC) defines a set of encodings for PCS derivable from CIEXYZ. Mult...

In this paper we propose a new operator which combines advantages of monogenic scale-space and Gaussian scale-space, of the monogenic signal and the structure tensor. The gradient energy tensor (GET) defined in this paper is based on Gaussian derivatives up to third order using different scales. These filters are commonly available, separable, and have an optimal uncertainty. The response of th...