““Whenever liquid water makes the transition to ice, energy is given off to the surroundings. In the process, the water itself assumes a state that is both more ordered and lower in energy. It is a general rule that any system that can give off heat and thereby assume a state of lower energy will do so. For the purpose of illustration, let's assume that the energy set free by the freezing of water is extremely high-so high that it surpasses the energy that is by virtue of Albert Einstein's E = mc^2 connected with the very existence of the water molecules. What would happen? In this fictitious case, it would pay energetically if water in the form of ice were spontaneously created from a space that beforehand contained no water at all. Thus there would be a certain probability for this to occur-never mind that anti-ice would have to be produced too. Let's imagine that it occurs: a crystal of ice is created spontaneously out of the void. Like every crystal, it would have some preferred direction in space and a certain location. Consequently, the perfect symmetry of space would be broken. These imagined circumstances do not exist in reality as far as ice is concerned, but they apply roughly for one of the most imaginative constructs of physics-the so-called Higgs field. This field appears spontaneously in a void as its walls are cooled down-starting from the absurdly high temperature of 10^15 degrees. The field will appear in an ordered state; for a poetic simile, think of ice flowers growing on a window. The energy needed for its existence is smaller than the energy liberated by its falling into that ordered pattern. This pattern is not to be understood in terms of spatial geometry; rather, it refers to the abstract space made up of the properties of elementary particles. In geometrical space, it is merely a field resembling a particularly simple distribution; to every point in space, we assign one and the same complex number. This implies that the Higgs field does not break geometrical symmetry-it breaks an abstract symmetry of elementary particles. In fact, it was introduced into modern theoretical physics by the Scottish physicist Peter Higgs for that very reason-to break an abstract symmetry that would not permit elementary particles to have masses.””
