Summing up.
I have ceased to communicate with Bjarne, because the signal to noise ratio was consistently indistinguishable from zero, however, I notice there is quite a few lurkers on this thread (train wrecks always draw pectators

), so I think it is time to cut through all the cow dung and diversions.
Bjarne has an alternative thesis of gravity. I won't go into details except to say that it flies about as well as your average cow; it violates thermodynamics, common math and simple logic. One prediction of Bjarne's thesis is that the gravity gradient inside a mass is different from that predicted by the accepted law of gravity.
According to conventional gravity, when you pass through a mass, you will experience a diminishing gravital pull, till you reach the center of gravity (COG), where the pull will be zero. Then it will increase in the opposite direction till you reach the other side. The reason for this is that inside the mass, the various parts of the mass pull in different directions. So, if you go into a mine shaft, the ground above you will pull upwards, while the ground below you will pull down.
This has been confirmed observationelly (although Bjarne convinently denies this).
According to Bjarne's thesis, any piece of mass works as a unit, and the gravitational pull is constant towards the COG all through the mass. This means that when you pass the COG, the gravitaional pull will suddenly change direction.
The logic behind this is unclear, and Bjarne has not been able to explain how any given mass 'knows' it is expected to behave like a single piece of mass.
However, unlike the many 'crackpot scientists' Bjarne has commendably set out to back up his ideas with actual observation (one reason I have, after all, had a great deal of patience with him). He hired the Danish Technical University (DTU, a state-owned institution of impeccable integrity) to measure the gravity inside the tallest building he could find, the 30 story Domus Vista in Copenhagen.
The latest many, many posts here have been about the interpretaion of the results. The measurement report contains the absolute gravity measured on each floor of the Domus Vista. The conclusion made by the good DTU people is, diplomatically, that they consider the measurements to be accurate.
Bjarne has published the report here:
http://www.science27.com/english/Measurement/Domus.pdf
So the trick is now to deduce the contribution of the building from the total measured value. The measured value, we shall call G
m. Apart from the stated measurement uncertainy we must consider the reported values as fact.
The Earth gravity, I will call G
base, meaning the gravity pull from Earth at the exact spot where the bulding stands.
The final factor is the free air gradient, FAG. As we move away from a mass, conventional gravity posits that the gravitaional pull will diminish with the square of the distance from the center of gravity. This is experimentally and observationally proved, and Bjarne's thesis does not contest this.
Thus, to find the gravitational contribution of the building, we must take the elevation of each measurement, modify the G
base with the FAG, and subtract this value form the measured value G
m. Thus, the formula for the local gravity for each floor is:
G
local = G
m - G
base - FAG X e
Where e is the elevation in meters.
According to conventional gravity, we should get a negative value for for the bottom floor, and a more or less smooth gradient the crosses zero at the gravitational center of the building and is highest at the top floor (because when at the bottom floor, the gravity of the building pulld you up, against Earth gravity, and as you put more and more bulding mass below you, it gradually ends up pulling you down, together with Earth gravity).
Bjarne has changed his story at least once, so I'm not sure what his thesis is supposed to predict.
Now, since the data is in, so what is all the fuss abbout?
Well, to illustrate that, let us try to calculate the value for a random floor, say floor 10.
So G
10 = G
m10 - G
base - FAG X e
10
Let us insert values.
G
m10 = 981538.353 mGal (according the the report).
FAG = 0.3086 mGal/m (This is the standard value. There are local variations, but that will make little difference)
So far, so good, but now comes trouble:
e
10 is the elevation of the measuring station for floor 10, but that value is not stated in the report, and Bjarne has not obtained these values. Since the building is appr 100 meters tall, let us estimate 33m, so
e
10 = 33
But it gets worse: We now need the value of Earht gravity for G
base. This is the value we would measure in the exact spot where the building stands,
before the building existed. Can't we just get the value from somewhere else? Unfortunately not, because the surface gravity of Earht varies from place to place, depending on what kind of underground you have locally.
So G
base = ?
Does this mean that all is moot? Not quite, becaue although we are not able to determine the center of gravity (COG), we
can make a plot of the relative values for the floors. I have done that, Reality Check has done that, and apart from the expected bumps, it shows a smooth gradient from floor 3 and up. For the lowest floors, the slope is different.
However, when making the slope, we used constant values for the elevation of the floors. In other words, we assumed that all floors were equally spaced. However, in the real building, the lowest 3 floors are significantly taller than the rest. We don't have the exact values, but it is obvious that the FAG (free air gradient) to sibtract for these floors must be higher. This more or less evens out the curve, so we get a reasonably straight line.
In other words, despite all Bjarne's antics, his own measurements support the conventional knowledge and disprove his thesis.
Hans