First asked 2 November 2009
(Updated 25 November 2009)
Consider a proton in a
circular particle accelerator like the LHC (or several other accelerators). It is traveling at a speed very close to the speed of light. This proton is moving and so has Bjarne's "kinetic resistance".
For that matter we could also look at
linear particle accelerators.
Let us use a proton where u = 0.999c. Then (y-1) = 22.366 - 1 = 21.366.
This is actually a bit slow. The LHC when operating at 14 TeV will have protons moving at about 99.9999991% of c, i.e. y ~7,500.
Let us make the
same basic mistake that Bjarne makes and set the "kinetic resistance" (KR) to (y-1) as m/s^2.
Thus KR = 21.366. m/s^2
So we now have an easily measured "kinetic resistance". As particles are accelerated faster and faster they require about twice the force to keep them going as expected from
Special Relativity.
Particle accelerator are very carefully designed and monitored to work with specific accelerations of the particles. Too much or too little and the particles crash into the walls of the ring.
Your "kinetic resistance" means that every particle accelerator in the world does not work!
Exactly where did I go wrong in using your equation for "kinetic resistance"?
Do you really think that all the scientists that tested SR kinematics (Tests of Relativistic Kinematics) faked their results?
If you have no answer then "kinetic resistance" does not exist and your idea is wrong.
On a more practical basis you have to use electricity to power the equipment that accelerates the particles. To get the particles to a certain velocity you have to use a certain amount of electricity. Bjarne's "kinetic resistance" means that twice as much electricity is used.
Somebody has to pay the bill. Accountants tend to scream loudly when a budgeted item doubles.
The next point is that the beams are circulated without acceleration for hours at a time. This is the accelerator acting as a
storage ring. Making the beam travel in a circle is fairly basic physics. All you need are magnets and Maxwell's equations. The magnets are tuned to keep particles at a specific energy traveling in a circle. If the particles are not at that energy they escape the
storage ring.
You are probably unaware of this but the force on a charge traveling through a magnetic field depends on the field, charge and velocity of the particle: F= q (
v X
B ).
In a storage ring the magnetic field is constant.
In a storage ring q is constant.
Add in "kinetic resistance" to decrease v and the force decreases. The beam therefore spiral out into the walls of the ring.
Storage rings work thus "kinetic resistance" does not exist.
Yet another (less compelling) reason is that scientists are really interested in the collisions and their products. They are so interested that they measure the energy of all of the products in
calorimeters.
There is a little law of physics that you should know about: energy is conserved.
Thus the energy of the products is equal to the energy of the particles that collided.
No one has claimed a Nobel Prize by noticing that energy is not conserved in the collisions, i.e. the products have half the predicted energy of the particle beams.