Which geometries on a smooth manifold (apart from Lorentzian metrics) can serve as a spacetime structure? This question is comprehensively addressed from first principles in eight lectures, exploring the kinematics and gravitational dynamics of all tensorial geometries on a smooth manifold that can carry predictive matter equations, are time-orientable, and allow to distinguish positive from negative particle energies
I state and prove, in the context of a space having only the metrical structure imposed by the ge...
AbstractIn this article it is argued, that the universe cannot be modeled as a space-time manifold. ...
I state and prove, in the context of a space having only the\ud metrical structure imposed by the ...
Only a severely restricted class of tensor fields can provide classical spacetime geometries, namely...
Only a severely restricted class of tensor fields can provide classical spacetime geometries, namely...
One hundred years ago, Albert Einstein revolutionized our understanding of gravity, and thus the lar...
Ever since the realization, from the Hawking-Penrose singularity theorems, that singularities in spa...
The Lorentzian spacetime metric is refined to an area metric which naturally emerges as a generalize...
I state and prove, in the context of a space having only the metrical structure imposed by the ge...
I state and prove, in the context of a space having only the metrical structure imposed by the ge...
Here, we outline the basic structure of relativistic spacetime and record a number of facts. We then...
Here, we outline the basic structure of relativistic spacetime and record a number of facts. We then...
Here, we outline the basic structure of relativistic spacetime and record a number of facts. We then...
We summarize the main ideas of General Relativity and Lorentzian geometry, leading to a proof of the...
The Lorentzian spacetime metric is replaced by an area metric which naturally emerges as a generaliz...
I state and prove, in the context of a space having only the metrical structure imposed by the ge...
AbstractIn this article it is argued, that the universe cannot be modeled as a space-time manifold. ...
I state and prove, in the context of a space having only the\ud metrical structure imposed by the ...
Only a severely restricted class of tensor fields can provide classical spacetime geometries, namely...
Only a severely restricted class of tensor fields can provide classical spacetime geometries, namely...
One hundred years ago, Albert Einstein revolutionized our understanding of gravity, and thus the lar...
Ever since the realization, from the Hawking-Penrose singularity theorems, that singularities in spa...
The Lorentzian spacetime metric is refined to an area metric which naturally emerges as a generalize...
I state and prove, in the context of a space having only the metrical structure imposed by the ge...
I state and prove, in the context of a space having only the metrical structure imposed by the ge...
Here, we outline the basic structure of relativistic spacetime and record a number of facts. We then...
Here, we outline the basic structure of relativistic spacetime and record a number of facts. We then...
Here, we outline the basic structure of relativistic spacetime and record a number of facts. We then...
We summarize the main ideas of General Relativity and Lorentzian geometry, leading to a proof of the...
The Lorentzian spacetime metric is replaced by an area metric which naturally emerges as a generaliz...
I state and prove, in the context of a space having only the metrical structure imposed by the ge...
AbstractIn this article it is argued, that the universe cannot be modeled as a space-time manifold. ...
I state and prove, in the context of a space having only the\ud metrical structure imposed by the ...