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Celestial holography and AdS3/CFT2 from a scaling reduction of twistor space
Celestial amplitudes obtained from Mellin transforming 4d momentum space scattering amplitudes contain distributional delta functions, hindering the...
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Spin and Complexified Minkowski Spacetime
In the previous chapters, we have considered the relativistic evolution of point-like objects, without considering their internal rotations or spin....
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Asymptotic Stability of Minkowski Space-Time with Non-compactly Supported Massless Vlasov Matter
We prove the global asymptotic stability of the Minkowski space for the massless Einstein–Vlasov system in wave coordinates. In contrast with...
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Effect of the Contribution of the Local and Nonlocal Optical Response of an Isotropic Gyrotropic Medium on the Components of the Minkowski Energy–Momentum Tensor of the Electromagnetic Field of the Self-Focusing Beam
AbstractContributions of the terms related to the local and nonlocal nonlinear optical responses of a medium are determined in the expressions for...
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Towards higher-spin holography in flat space
We study the chiral flat space higher-spin algebra, which is the global symmetry algebra of the chiral higher-spin theory in the 4d Minkowski space....
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Fermion and photon gap-equations in Minkowski space within the Nakanishi integral representation method
The approach based on the Nakanishi integral representation of n-leg transition amplitudes is extended to the treatment of the self-energies of a...
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Remarks on the geodesically completeness and the smoothing effect on asymptotically Minkowski spacetimes
In this note, we study a geometric property of asymptotically Minkowski spacetimes and an analytic property of the wave operator. More precisely, our...
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Basic Facts in Euclidean and Minkowski Plane Geometry
In Chapter 1, we found out that there exist different geometries in a plane. It depends on the axioms one chooses if Euclidean Geometry or...
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Minkowski box from Yangian bootstrap
We extend the recently developed Yangian bootstrap for Feynman integrals to Minkowski space, focusing on the case of the one-loop box integral. The...
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A Geometric Realization of Relativity: The de Sitter Space-time
We want to conclude this book considering a gravity theory without masses which can be constructed in Minkowski spaces using a geometric Minkowski...
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Another Geometric Realization of Relativity: The Anti-de Sitter Space–Time
There are a lot of similarities between de Sitter and Anti-de Sitter space–times; therefore, we want to present here some geometric aspects which are...
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Lorentz Transformation Under a Discrete Dynamical Time and Continuous Space
The Lorentz transformation of space and time between two reference frames is one of the pillars of the special relativity theory. As a result of the...
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Twistors for SD Radiative Space-Times
Despite the perturbative non-linearity of the Einstein-Hilbert action [1–4], the scattering amplitudes of general relativity (GR) and supergravity...
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A heuristic resolution of the Abraham–Minkowski controversy
This paper reviews the history and origin of the Abraham–Minkowski controversy and points out that it is a continuation of the controversy over the...
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Pregeometry and spontaneous time-space asymmetry
In pregeometry a metric arises as a composite object at large distances. We investigate if its signature, which distinguishes between time and space,...
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On the Mathematical Foundations of Causal Fermion Systems in Minkowski Space
The emergence of the concept of a causal fermion system is revisited and further investigated for the vacuum Dirac equation in Minkowski space. After...
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Charting the landscape of (anti-) de Sitter and Minkowski solutions of 10d supergravities
We classify solutions of 10d type IIA/B supergravities with orientifolds, on a 4d maximally symmetric spacetime times a 6d group manifold. We then...
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Coordinate-Independent Definition of Relative Velocity in Pseudo-Riemannian Space-Time: Implications for Special Cases
AbstractUsing the general solution that we recently obtained for the coordinate-independent definition of a relative velocity of a luminous source as...
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Alexandrov’s Theorem for Anisotropic Capillary Hypersurfaces in the Half-Space
In this paper, we show that any embedded capillary hypersurface in the half-space with anisotropic constant mean curvature is a truncated Wulff...
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The ambient space formalism
We present a new formalism to solve the kinematical constraints due to Weyl invariance for CFTs in curved backgrounds and/or non-trivial states, and...