Thursday 5 July 2012

MATTER AND MASS MATTERS

Is it mere coincidence that the anniversary of the appearance of Philosophiæ Naturalis Principia Mathematica should happen at the same time as revelations about the appearance of a rather sought after elementary particle. Is that a performance or what?

325 years ago on the 5th July 1687, the Philosophiæ Naturalis Principia Mathematica  (Latin for "Mathematical Principles of Natural Philosophy", often referred to as simply the Principia) a work in three books by Sir Isaac Newton, was first published. After annotating and correcting his personal copy of the first edition, Newton also published two further editions, in 1713 and 1726. The Principia states Newton’s laws of motion, forming the foundation of classical mechanics, also Newton’s law of universal gravitation, and a derivation of Kepler’s laws of planetary motion (which Kepler first obtained empirically). The Principia is "justly regarded as one of the most important works in the history of science".
Newton first set out the definition of mass:

The quantity of matter is that which arises conjointly from its density and magnitude. A body twice as dense in double the space is quadruple in quantity. This quantity I designate by the name of body or of mass.

This was then used to define the "quantity of motion" (today called momentum), and the principle of inertia in which mass replaces the previous Cartesian notion of intrinsic force. This then set the stage for the introduction of forces through the change in momentum of a body. Curiously, for today's readers, the exposition looks dimensionally incorrect, since Newton does not introduce the dimension of time in rates of changes of quantities.
He defined space and time "not as they are well known to all". Instead, he defined "true" time and space as "absolute" and explained:
Only I must observe, that the vulgar conceive those quantities under no other notions but from the relation they bear to perceptible objects. And it will be convenient to distinguish them into absolute and relative, true and apparent, mathematical and common. [...] instead of absolute places and motions, we use relative ones; and that without any inconvenience in common affairs; but in philosophical discussions, we ought to step back from our senses, and consider things themselves, distinct from what are only perceptible measures of them.

As it happens, 325 years on, on the 4th July 2012, another matter, about mass and matter arose.

In the Standard Model of particle physics, the Higgs boson is a hypothetical elementary particle, a boson, that is the quantum of the Higgs field. The field and the particle provide a testable hypothesis for the origin of mass in elementary particles. In popular culture, the Higgs boson is also called the God particle, after the title of Nobel physicist Leon Lederman’s The God Particle: If the Universe is the Answer, What is the Question? (1993), which contained the author’s assertion that the discovery of the particle is crucial to a final understanding of the structure of matter.
The existence of the Higgs boson was predicted in 1964 to explain the Higgs mechanism—the mechanism by which elementary particles are given mass.

On 4 July 2012, the two main experiments at the LHC (ATLAS and CMS) both reported independently the confirmed existence of a previously unknown particle with a mass of about 125 GeV/c2  (about 133 proton masses, on the order of 10-25 kg), which is "consistent with the Higgs boson" and widely believed to be the Higgs boson. They acknowledged that further work would be needed to confirm that it is indeed the Higgs boson and not some other previously unknown particle (meaning that it has the theoretically predicted properties of the Higgs boson) and, if so, to determine which version of the Standard Model it best supports.

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