We understood this creation of positive and negtaive in context of each other did we?
Riemannian Geometry, also known as elliptical geometry, is the geometry of the surface of a sphere. It replaces Euclid's Parallel Postulate with, "Through any point in the plane, there exists no line parallel to a given line." A line in this geometry is a great circle. The sum of the angles of a triangle in Riemannian Geometry is > 180°.
It is a strange thing to wonder how the heck one get's to translating harmonical oscillations in context of what we see expounded by Taylor and Hulse. To understand that at some point, the rotation around each other in distance, will decrease in time, and the oscillations will increase? What does this signal?:)
You do not discard thnking about the cosmological nature, methods, that have been used to orientate the world view in such a way, where all of a sudden the complexity of this dynamical nature has moved your thinking to strength and weakness of those same gravitational wave explanations.
Working closely with the experimental group, we use astrophysical, particle physics and superstring theory combined with observations to study gravitation and the origin and evolution of our universe.
The beautiful consistency of the cosmological tests with the Lambda CDM theory for structure formation maybe is particularly impressive to me because I spent so much of the last 15 years studying alternatives; you can trace through astro-ph my history of proposals that were viable when submitted but soon ruled out by advances in measurements of the angular distribution of the 3K thermal background radiation. But the constraints from the cosmological tests are not yet much more numerous than the assumptions in Lambda CDM and related models; it's too soon to declare closure of the cosmological tests.