
Refer to
Kea's blog for a spectacular photo of the "Great Hexagon of Saturn." Again our Cassini spacecraft has discovered something that old science can't explain. As we have seen, there is more going on inside the planet than meets the eye. This includes an immense magnetic field and polar jets of charged particles, exactly as produced by a Black Hole.
The Northern jet is composed of electrons which spiral tightly around the magnetic field lines. The Southern jet is made of heavier ions, which travel around to the North and follow field lines back in. Earth's Van Allen belts work the same way, with concentric lanes of positive and negative particles travelling in opposite directions. At Saturn's North Pole, the incoming positive stream crowds in on the outgoing negative stream. As nature shows us with the honeycomb, the best way to crowd things together is in hexagons.
Our unit systems are mostly based upon some earthly measure, like the distance a man can reach. Physicists often prefer to use a system based upon some fundamental property of nature. This has led some to use units based upon the "constants" h and c. While Planck units provide a universal system of measurement, they are misleading if you think h and c are constant!
Above are the Planck units of length, time, and mass. As readers of the papers know, speed of light c is proportional with t to the -1/3 power. Since most measurements indicate that the product hc is a constant, Planck value h must be inversely proportional with c, t to the 1/3 power. The behaviour of h is similiar to the solution of a random-walk problem. Some of the Planck units are therefore changing.
The Planck length is actually increasing by t to the 2/3 power. Scale R of the Universe, horizon distance, scale of magnetic fields and even the Schwarzhild radius of a Black Hole increase at exactly the same rate. All these radii increase in a way more logical than the humans who struggle to understand it.
The Planck time turns out to be proportional to the observer's time. If you were a tiny cosmologist at time of 10^{-43} seconds, Planck time would still appear to be 10^{60} times smaller. Hopefully by the time the Universe is 13.7 billion years old you will figure this out. Dr. Lieu (who was at the London conference) found experimentally in a paper (ApJ 585, L77) from 2003 that this "Planck time" is an illusion.
Back when I was enjoying
The Blue Mountains, someone noticed that "The Equation" in Planck units is just:
M/M_pl = t/t_pl
Mass of the Universe divided by Planck mass is equal to age of the Universe divided by Planck time. Both sides of the equation are now dimensionless numbers, and both are constant.
Using Planck units, you can write this in even simpler form:
M = t
This must be the simplest equation ever! It is amazing that humans haven't figured this one out yet. Personally I prefer not to use Planck units because they can be so misleading.
The "M = t" was noticed recently by a very well-known blogger. I will not give his name, for he has a "bad boy" image to maintain. Though he has a reputation as the biggest skeptic, he has slowly come over to our side. He may be telling the Harvard string theory group that we are on to something. It would be easy to get angry with others, but there is great value in patience.
Labels: cassini, physics, planck, saturn