216 citations · 524 across the 16 of their papers we have counts for
17 papers
Summing over spacetime dimensions in quantum gravity
Erik Curiel, Felix Finster, J. M. Isidro
Quantum-gravity corrections (in the form of a minimal length) to the Feynman propagator for a free scalar particle in are shown to be the result of summing over all…
Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems
Erik Curiel, Felix Finster, J. M. Isidro
The notions of two-dimensional area, Killing fields and matter flux are introduced in the setting of causal fermion systems. It is shown that for critical points of the causal acti…
Schematizing the Observer and the Epistemic Content of Theories
Erik Curiel
I argue that, contrary to the standard view, one cannot understand the structure and nature of our knowledge in physics without an analysis of the way that observers (and, more gen…
Singularities in Reissner-Nordström black holes
Paul M. Chesler, Ramesh Narayan, Erik Curiel
We study black holes produced by the collapse of a spherically symmetric charged scalar field in asymptotically flat space. We employ a late time expansion and show decaying fluxes…
On Geometric Objects, the Non-Existence of a Gravitational Stress-Energy Tensor, and the Uniqueness of the Einstein Field Equation
Erik Curiel
The question of the existence of gravitational stress-energy in general relativity has exercised investigators in the field since the inception of the theory. Folklore has it that…
Numerical evolution of shocks in the interior of Kerr black holes
Paul M. Chesler, Erik Curiel, Ramesh Narayan
We numerically solve Einstein's equations coupled to a scalar field in the interior of Kerr black holes. We find shock waves form near the inner horizon. The shocks grow exponentia…
The Many Definitions of a Black Hole
Erik Curiel
Although black holes are objects of central importance across many fields of physics, there is no agreed upon definition for them, a fact that does not seem to be widely recognized…
Framework Confirmation by Newtonian Abduction
Erik Curiel
The analysis of theory-confirmation generally takes the deductive form: show that a theory in conjunction with physical data and auxiliary hypotheses yield a prediction about pheno…
Kinematics, Dynamics, and the Structure of Physical Theory
Erik Curiel
Every physical theory has (at least) two different forms of mathematical equations to represent its target systems: the dynamical (equations of motion) and the kinematical (kinemat…
A Simple Proof of the Uniqueness of the Einstein Field Equation in All Dimensions
Erik Curiel
The standard argument for the uniqueness of the Einstein field equation is based on Lovelock's Theorem, the relevant statement of which is restricted to four dimensions. I prove a…
A Weyl-Type Theorem for Geometrized Newtonian Gravity
Erik Curiel
I state and prove, in the context of a space having only the metrical and affine structure imposed by the geometrized version of Newtonian gravitational theory, a theorem analagous…
If Metrical Structure Were Not Dynamical, Counterfactuals in General Relativity Would Be Easy
Erik Curiel
General relativity poses serious problems for counterfactual propositions peculiar to it as a physical theory. Because these problems arise solely from the dynamical nature of spac…
Measure, Topology and Probabilistic Reasoning in Cosmology
Erik Curiel
I explain the difficulty of making various concepts of and relating to probability precise, rigorous and physically significant when attempting to apply them in reasoning about obj…
On the Existence of Spacetime Structure
E. Curiel
I examine the debate between substantivalists and relationalists about the ontological character of spacetime and conclude it is not well posed. I argue that the so-called Hole Arg…
Classical Black Holes Are Hot
Erik Curiel
In the early 1970s it is was realized that there is a striking formal analogy between the Laws of black-hole mechanics and the Laws of classical thermodynamics. Before the discover…
A Primer on Energy Conditions
Erik Curiel
An energy condition, in the context of a wide class of spacetime theories (including general relativity), is, crudely speaking, a relation one demands the stress-energy tensor of m…
On Tensorial Concomitants and the Non-Existence of a Gravitational Stress-Energy Tensor
Erik Curiel
The question of the existence of gravitational stress-energy in general relativity has exercised investigators in the field since the inception of the theory. Folklore has it that…