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Afshordi, Aslanbeigi and Sorkin have recently proposed a construction of a distinguished "S-J state" for scalar field theory in (bounded regions of) general curved spacetimes. We establish rigorously ...
In this article we prove that the Klein-Gordon equation in the de Sitter spacetime obeys the Huygens' principle if and only if the physical mass $m$ of the scalar field and the dimension $n$ of the sp...
Abstract: We construct a theory of fields living on continuous geometries with fractional Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski spacetime. After revi...
Abstract: The paper shows deep connections between exotic smoothings of a small R^4 (the spacetime), the leaf space of codimension-1 foliations (related to noncommutative algebras) and quantization. A...
Abstract: To seek a deeper understanding of wave propagation on the Schwarzschild spacetime, we investigate the relationship between (i) the lightcone of an event and its caustics (self-intersections)...
Revisiting special relativity: A natural algebraic alternative to Minkowski spacetime.
Abstract: A sketch of an approach towards Lorentzian spectral geometry (based on joint work with Mario Paschke) is described, together with a general way to define abstractly the quantized Dirac field...
A one-parameter family of random variables, called the Discrete Action, is defined for a 2-dimensional Lorentzian spacetime of finite volume. The single parameter is a discreteness scale. The expecta...
A method is given to compute the noise kernel, defined as the symmetrized con-nected 2-point function of the stress tensor, for the conformally invariant scalar field in the Hartle-Hawking state in Sc...
The recognition that the quark-gluon plasma (QGP) produced in relativistic heavy ion col- lisions is strongly coupled [1], combined with the ad-vent of gauge/gravity duality (or \holography") [2, 3],...
A classical model for the extension of singular spacetime geometries across their singularities is presented. The regularization introduced by this model is based on the following observation.
Existence of frame invariant, maximum, time interval $T$, length $L$, and mass $M$ is postulated. In the de Sitter universe - (1) the life span of universe, (2) the circumference of universe at the p...
A simple algebraic global isometric embedding is presented for the nonrotating BTZ black hole and its counterpart of Euclidean signature. The image of the em-bedding, inMinkowski space of two extra di...
We study the basic quantum mechanics for a fully general set of Dirac matrices in a curved spacetime by extending Pauli’s method. We further extend this study to three versions of the Dirac equation: ...
The existence of a minimum size of spacetime is generally considered as an indispensable element in a complete theory of quantum gravity. In this essay we will analyze one of its implications for qua...

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