منابع مشابه
Physics as Spacetime Geometry
As there have been no major advancements in fundamental physics in the last decades it seems reasonable to reexamine the major explicit and especially implicit assumptions in fundamental physics to ensure that all logically possible research directions are identified. The purpose of this chapter is to outline such a direction. Minkowski’s program of regarding four-dimensional physics as spaceti...
متن کاملSpacetime and Euclidean Geometry
Using only the principle of relativity and Euclidean geometry we show in this pedagogical article that the square of proper time or length in a two-dimensional spacetime diagram is proportional to the Euclidean area of the corresponding causal domain. We use this relation to derive the Minkowski line element by two geometric proofs of the spacetime Pythagoras theorem. Introduction Spacetime dia...
متن کاملSpacetime Geometry with Geometric Calculus
Geometric Calculus is developed for curved-space treatments of General Relativity and comparison with the flat-space gauge theory approach by Lasenby, Doran and Gull. Einstein’s Principle of Equivalence is generalized to a gauge principle that provides the foundation for a new formulation of General Relativity as a Gauge Theory of Gravity on a curved spacetime manifold. Geometric Calculus provi...
متن کاملConvex Functions and Spacetime Geometry
Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime (M, gμν) or an initial data set (Σ, hij , Kij) admitting a suitably defined convex function. We show how the existence of a convex function on a spacetime places restrictions on the properties...
متن کاملEntanglement in Topological Phases
In this report, the research conducted on entanglement in topological phases is detailed and summarized. This includes background developed and an explanation of the structure of the code written it MATLAB to compute various aspects of entanglement for topological systems. Topological phases are generally those that cannot be described by Landau symmetry-breaking, including the fractional quant...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Physics
سال: 2010
ISSN: 0003-4916
DOI: 10.1016/j.aop.2010.06.003