Category Archives: Mathematics

The Standard Model

... but what is a Higgs Boson?

20th Century World View

The Standard Model of Particle Physics is a theory about the electromagnetic, weak and strong nuclear interactions, developed throughout the mid-to-late 20th century, as a worldwide collaborative effort. Upon experimental confirmation of the existence of quarks, the theory is finalised in the mid-1970s.  Ever since that time, further evidence of its validity have been provided by successive discoveries of the other predicted particles, such as the bottom quark (1977), the top quark (1995), the tau neutrino (2000) and even more recently, the Higgs boson (2012) to complete the whole set.

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Lightning and the Earth’s Electric Field

A photograph showing some spectacular lightning bolts above a city skyline at night.
Earth’s Electric Field

The Earth has an electric field.  On average, this field points vertically downwards and it has a magnitude of about 100 N C-1 (Newtons per Coulomb).  It exists because the Earth’s surface carries a negative charge of – 5 x 10C, while the upper atmosphere carries a compensating positive charge.  An average of 400,000 thunderstorms a day sustain a relatively constant electric field.

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Fallen from Outer Space…

A photograph of Daredevil Felix Baumgartner, as he boldly prepares to jump off his high altitude capsule for the ultimate record-breaking space dive on 14th October 2012.

Record-Breaking Space Dive

14th October 2012.  During his ultimate high-altitude parachute jump, Felix Baumgartner spends approximately 4 minutes and 22 seconds in freefall, at the maximum speed of 1,342 kilometres per hour. 

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Constant Matters

Pi_Number
Physical Constants (SI Units)







Avogadro Constant

N_{A} = 6.022 \times 10^{23} mol^{-1}

Bohr Radius

a_0 = 5.29 \times 10^{-11} m

Boltzmann Constant

k = 1.381 \times 10^{-23} JK^{-1}

Charge on an Electron

e = - 1.602 \times 10^{-19} C

Gravitational Constant

G = 6.673 \times 10^{-11} Nm^{2} kg^{-2}

Magnitude of Acceleration due to Gravity

g = 9.81 m s^{-2}

Permeability of Free Space 

\mu_{0} = 4 \pi \times 10^{-7} T m A^{-1}

Permittivity of Free Space 

\epsilon_{0} = 8.854 \times 10^{-12} C^{2} N^{-1} m^{-2}

Speed of Light in a vacuum

c = 2.998 \times 10^{8} m s^{-1}