Models of space-time

Models of Space - Time

2. Abstract space-time. We need first an axiomatic foundation strong enough to support both our mathematical considerations and their applications to physics. DEFINITION. An n+1 dimensional space-time (n*tl) consists of (A) An n+1 dimensional vector space V over the real numbers plus a symmetric bilinear real form A »B (inner product) such that: (1) There exists a vector A with A -A <0 . (2) An...

Analysis of Hierarchical Bayesian Models for Large Space Time Data of the Housing Prices in Tehran

Housing price data is correlated to their location in different neighborhoods and their correlation is type of spatial (location). The price of housing is varius in different months, so they also have a time correlation. Spatio-temporal models are used to analyze this type of the data. An important purpose of reviewing this type of the data is to fit a suitable model for the spatial-temporal an...

Space-time models with time-dependent covariates

Mathematical Models of Cognitive Space and Time

This paper explores reasoning about space and time, e.g., in metaphors of time as space; an important method is to find minimal assumptions needed to reach the same conclusions that humans reach. Some mathematical language, including the notion of triad, is introduced for this purpose, formalizing and generalizing the cognitive semantics approaches to conceptual spaces (in the senses of both Fa...

Probing Models of Quantum Space–Time Foam

We review the possibility that quantum fluctuations in the structure of space-time at the Planck scale might be subject to experimental probes. We study the effects of space-time foam in an approach inspired by string theory, in which solitonic D-brane excitations are taken into account when considering the ground state. We model the properties of this medium by analyzing the recoil of a D part...