Grave Errors in the LIGO Mathematical Analysis of Gravitational Waves

The original "Observation of Gravitational Waves from a Binary Black Hole Merger", that appeared in the February 2016 issue of Phys. Rev. Lett. is fraught with grave mistakes in the mathematical formulation, if it could be called that. In their paper, the LIGO team presents a single equation for the so-called 'chirp mass', and another equation in a caption for the "effective relative velocity given by the post-Newtonian parameter"

$$ (v/c)^3=GM\omega/c^3,$$

Einstein's Formula for Gravitational Wave Luminosity Predicts Gravitational Aberration

Until the recent 'sightings' of the collision of pairs of binary black holes, the only evidence for gravitational radiation came from the application of Einstein's formula for gravitational wave luminosity and the change in the rate of the orbit  of the pulsar PSR 1913+16 at a rate $dP/dt<10^{-12}$, equivalent to $<10\mu s/yr$ When Hulse first discovered PSR 1913+16, he found that the pulsar's period decreased by as much as $80 \mu s$ in one day.

Eddington Scuttles Gravitational Waves Causing the Decay of a Binary Star

In a previous blog, I  wasn't sure whether either Einstein's or Eddington's calculation, which differ by a mere factor of $2$, of the energy loss due to the damping of the rotational speed of a dumbbell due to the emission of gravity waves. After a lengthy calculation which avoids the use of the gravitational pseudo-tensor, Eddington in his book The Mathematical Theory of General Relativity comes to the conclusion that neither his calculation, nor Einstein's applies to the merger of two black-holes or anything like them.

To Chirp or Not to Chirp?---That is the Question

The "chirp" referred to in the title concerns the rapid increase in frequency that the LIGO team has observed, or at least implied, when two black hole merger. I can't fathom how this results from interference patterns on a screen due to a delay in one of the light signals in the arms of a Michelson interferometer, but I will take them at their word and show how the calculation of the change in period of the orbiting binary mixes dipole and quadrupole radiation.

What Causes the Period in the Binary Pulsar PSR 1913+16 to Decrease?

It is commonly accepted that the decrease in the binary pulsar 1913+16 is due to the emission of gravitational radiation. Yet, due to the finite propagation time of gravity, there will be created in any periodic orbit a tangential force which tends to increase the orbital period. So which is it? Does the period decrease due to the loss of mass-energy through gravitational radiation or to an increase in period due to the finite time that it takes an orbiting planet to feel the force of attraction.

Who Were the Real Relativists?

After having commented on Maxwell's criticism of Lorenz's use of retarded potentials, I began to have second thoughts. Maxwell considered his theory of the electromagnetic field to be "big guns", and certainly didn't want anyone usurping him of his discovery in identifying the speed of light as the speed of the propagation of electromagnetic waves. 

Is the Cancellation of Velocity Dependent Terms and Aberration a Miracle?

This question was raised by Carlip, in his attack against van Flandern's contention which reaffirmed Laplace's conclusion that gravity propagates a least a hundred million times greater than the speed of light, and answered by him in the affirmative, I will show that Carlip's analysis more than being insignificant, in the words of McDonald, is completely confused.

Gravitational Waves Can't be Transmitted as Quadrupole Radiation

Maxwell's equations do admirally well in the description of radiation caused by oscillating charges in an antenna. A changing magnetic field produces an electric field, and a changing electric field is capable of producing a magnetic field. In order that there be undamped propagation of electromagnetic waves, both the electric and magnetic fields must be inversely proportional to the radial coordinate.

Curvature, Force, and Mean Square Deviations

Let me start by saying I was wrong about the lack of a relationship between the quadrupole force and curvature. I used the symmetric force between two current elements when I should have used the directed force produced by one current element on the other. Curvature, force, and mean square deviations are all related and allow for a 'thermodynamic statistical description of curvature.