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Top Spin of a Quark: A Puzzle?


Nigel Buttimore

Abhay Deshpande


SUNY Physics logo   SUNY logo for web

cluster   A Supercluster of Galaxies

galaxy   a Galaxy a billion times lighter

gigametre star   a gigametre Star

megametre asteroid   a megametre Asteroid

kilometre hill   a kilometre Hill

kilometre hill   A kilometre Hill

metre bear   a Bear a billion times lighter

millimetre fruitfly   a millimetre Fruitfly

micrometre cell   a micrometre Cell

nanometre DNA base pair   a nanometre DNA base pair

quarks and leptons

W R Hamilton and Son

WILLIAM ROWAN HAMILTON

Bicentenary (1805 - 1865)

Dublin University Review 1833

- mathematicians will deduce all properties of optical systems from the function V

- an analogous function of the planetary orbits I gave a short notice of in the XVth volume of the Transactions of the RIA

Royal Irish Academy

- this view appears to open in mechanics and astronomy an entirely new field of research.

Observatory of Trinity College Dublin
September 1833



Hamiltonian methods became important for Quantum and String theories.

W R Hamilton and Son

WILLIAM ROWAN HAMILTON

presents to the Edinburgh BA Meeting of 1834

"On the Application to Dynamics of a General Mathematical Method previously applied to Optics"

a unified approach to an understanding of Light and Matter.




Such unification is a feature of modern supersymmetry theories.
George Francis Fitzgerald

GEORGE FRANCIS FITZGERALD

"the length of material bodies changes by an amount depending on the square of the ratio of their velocity to that of light."

Letter published in Science in May 1889




FitzGerald-Lorentz contraction was an element of Einstein's theory of relativity published on 26 September 1905.

Heavy ions at accelerators appear shortened in their direction of motion.
Albert Einstein

ALBERT EINSTEIN (1879 - 1955)

Submitted to Annalen der Physik on 27 September 1905

Does the Inertia of a Body depend upon its Energy-content?




"The results of the previous investigation lead to a very interesting conclusion, based on Maxwell-Hertz equations ... "

cosmic speculation

"The mass of a body is a measure of its energy content; if the energy changes by  L, the mass changes in the same sense by L / c²

It is not impossible that with bodies whose energy-content is variable the theory may be successfully put to the test."




The E = m c² prediction of Einstein in 21 November 1905 was confirmed by the 1932 experiment of Cockcroft and Walton.

cosmic speculation

SPIN

Quantum and Relativity theories lead to spinning particles and anti-particles.

The constituent quarks contribute only about 2% of the mass of a proton; the bulk comes from the energy of motion within the proton.

Probing the spin of a proton will reveal its structure.


At the still points of the turning world are the arctic and the antarctic.

cosmic speculation

SUMMARY

The naked eye can see items larger than about 4% of a millimetre.

Microscopes using light reveal details of micrometre dimensions.




Swift particle beams have probed objects of nanometre (1897), picometre (1932), femtometre (1955) and attometre (1999) sizes.

Studies of structure below the attometre scale during this century promise to increase greatly our understanding of the universe.