107 citations · 1.4k across the 81 of their papers we have counts for
81 papers
The Real Number n-Degree Pythagorean Theorem
Jeffrey S. Lee, Gerald B. Cleaver
This paper extends the Pythagorean Theorem to positive and negative real exponents to take the form a^n + b^n = c^n and makes use of the definition gamma = b/a >= 1. For the case o…
Scalar Curvature Invariants in Classical and Quantum Gravity
B. Shakerin, D. D. McNutt, B. Mattingly +8
A short review of scalar curvature invariants in gravity theories is presented. We introduce how these invariants are constructed and discuss the minimal number of invariants requi…
Geometric surfaces: An invariant characterization of spherically symmetric black hole horizons and wormhole throats
D. D. McNutt, W. Julius, M. Gorban +3
We consider a spherically symmetric line element which admits either a black hole geometry or a wormhole geometry and show that in both cases the apparent horizon or the wormhole t…
Curvature Invariants for the Alcubierre and Natário Warp Drives
Brandon Mattingly, Abinash Kar, Matthew Gorban +9
A process for using curvature invariants is applied to evaluate the metrics for the Alcubierre and the Natario warp drives at a constant velocity.Curvature invariants are independe…
Curvature Invariants for the Accelerating Natario Warp Drive
B. Mattingly, A. Kar, M. Gorban +9
A process for using curvature invariants is applied to evaluate the accelerating Natario warp drive. Curvature invariants are independent of coordinate bases and plotting the invar…
Preinflationary perturbations from the closed algebra approach in loop quantum cosmology
Bao-Fei Li, Tao Zhu, Anzhong Wang +3
In this paper, the scalar and tensor perturbations in the closed algebra approach of loop quantum cosmology are studied. Instead of the distant past in the contracting phase, we ch…