We discuss the problem of determining the spacetime structure. We show that when we are using only topological methods the spacetime can be modelled as an R- or Q-compact space although the R-compact spaces seem to be more appropriate. Demanding the existence of a differential structure substantially narrows the choice of possible models. The determination of the differential structure may be difficult if it is not unique. By using the noncommutative geometry construction of the standard model we show that fundamental interactions determine the spacetime in the class of R-compact spaces. Fermions are essential for the process of determining the spacetime structure
The proposed existence of relative time and the curvature of space – both combined into the concept ...
A mathematical formalism for treating spacetime topology as a quantum observable is provided. We des...
Which geometries on a smooth manifold (apart from Lorentzian metrics) can serve as a spacetime struc...
I discuss the problem to what extent fundamental interactions determine the structure of spacetime. ...
We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to un...
The theory of noncommutative geometry provides an interesting mathematical background for developing...
Ideal rods and clocks are defined as an infinitesimal symmetry of the spacetime. Since no a priori g...
Efforts have been made recently to reformulate traditional Kaluza-Klein theory by using a generalize...
Here, we outline the basic structure of relativistic spacetime and record a number of facts. We then...
In this paper we describe how to implement symmetries on a canonical noncommutative spacetime. We fo...
In the framework of nonassociative geometry (hep-th/0003238) a unified description of continuum and ...
TheorieIn particle physics, the Standard Model describes the interactions between fundamental partic...
One conceivable hypothesis on the structure of space in the microcosmos, conceived as a collection o...
It is argued that a fundamental time-asymmetry (arrow-of-time) could arise from the global structure...
The fermionic sector of the Standard Model of Elementary Particles emerges as the low energy limit o...
The proposed existence of relative time and the curvature of space – both combined into the concept ...
A mathematical formalism for treating spacetime topology as a quantum observable is provided. We des...
Which geometries on a smooth manifold (apart from Lorentzian metrics) can serve as a spacetime struc...
I discuss the problem to what extent fundamental interactions determine the structure of spacetime. ...
We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to un...
The theory of noncommutative geometry provides an interesting mathematical background for developing...
Ideal rods and clocks are defined as an infinitesimal symmetry of the spacetime. Since no a priori g...
Efforts have been made recently to reformulate traditional Kaluza-Klein theory by using a generalize...
Here, we outline the basic structure of relativistic spacetime and record a number of facts. We then...
In this paper we describe how to implement symmetries on a canonical noncommutative spacetime. We fo...
In the framework of nonassociative geometry (hep-th/0003238) a unified description of continuum and ...
TheorieIn particle physics, the Standard Model describes the interactions between fundamental partic...
One conceivable hypothesis on the structure of space in the microcosmos, conceived as a collection o...
It is argued that a fundamental time-asymmetry (arrow-of-time) could arise from the global structure...
The fermionic sector of the Standard Model of Elementary Particles emerges as the low energy limit o...
The proposed existence of relative time and the curvature of space – both combined into the concept ...
A mathematical formalism for treating spacetime topology as a quantum observable is provided. We des...
Which geometries on a smooth manifold (apart from Lorentzian metrics) can serve as a spacetime struc...