I have explained at length how to solve the big problems of fundamental physics, and if people still refuse to listen it is their problem not mine. All of them come down to one simple phrase: “rest mass”. In physics there are several mutually contradictory definitions of rest, and several mutually contradictory definitions of mass. Sort those out, and you’re laughing.

Classical Newtonian mass is defined on a Solar System scale, in order to make Newton’s laws of motion and gravity work. The Solar System is considered to be at rest, and we move within the Solar System. This classical mass was good enough to work on the laboratory scale as well, as long as accuracies better than 1/10000 were not required. But when particle physics sought greater accuracy in the 1960s and 1970s, they were forced to switch to a new definition of mass that works when the laboratory is considered to be at rest, rather than the Solar System. These two definitions of mass are inconsistent with each other, as particle physicists are now starting to find out, when they discover that certain particle masses are not what they are supposed to be.

Astronomers want to extend the laws of gravity in the other direction, to the galaxy scale. And they have found that the definition of mass that works on a Solar System scale does not work on a galaxy scale. The reason is clear: the Solar System is not at rest within the galaxy. Our definitions of rest and mass have failed to take into account the fact that the Solar System rotates around the centre of the galaxy. The local Solar System definition of mass, if extrapolated to the whole galaxy, fails to provide enough mass to keep the Solar System in this orbit. Is it the galaxy that is wrong, or is it us? It is quite unbelievable how many people insist that it is the galaxy that is wrong. No, it is our definition of mass that is inadequate to explain the gravitational pull of the galaxy on us.

The inconsistency of laboratory mass (Dirac mass, defined in 1928) with classical mass (Newton or Einstein mass) is a mathematical theorem, due to the fact that their symmetry groups are inconsistent with each other. It is quite unbelievable how many physicists think that physics is somehow immune to the laws of logic. It is quite unbelievable how many physicists ignore both mathematics and experiment, and insist that their theory is correct when it contradicts both.

It is necessary to devise a mathematical model that explains how to transform between different definitions of “rest” when rotations are involved. That I have done. It is necessary to match this model up with experiment. That I have done. It is not necessary to quantise this model, but I have done it anyway. What more do you want?

The big problems are all solved. You can work on filling in the details. I’m blogging out.