Neils Bohr was a great fan of complementarity - the idea that you can have different models of a physical phenomena and each can be correct in its intended domain. Newtonian physics is just fine for studying how cars, volleyballs and even orbiting satellites move, but you need something else if you're looking at the extremely small or fast. As quantum mechanics was developed he spoke about particle-wave duality. Light could be thought of as have the properties of a wave and a particle. While complementarity is powerful and still useful, the idea that particle-wave duality is somehow fundamental is wrong. A more fundamental view started to emerge shortly after WWII ultimately becoming the Standard Model by the mid 1970s. It has a few warts, but is far and away the model predictive model in science. As it was being developed a mechanism was developed by Peter Higgs and a few others that would explain how some fundamental particle like the electron get their mass. A verification of that prediction is one of the most important discoveries in all of science.
On the 4th of July in 2012 the discovery of the Higgs particle was announced by two experimental groups at CERN. The press was full of embarrassingly misleading sound bites about this 'god particle'. The problem what's really going on is very technical and analogies are difficult and definitions are extremely important in specialized fields like physics. I'm going to attempt a description without math, but first we need to establish a few concepts and definitions. And remember - this isn't a robust description. The aim is to be accurate enough without getting lost in the weeds.
Fields
Fields turn out to be centrally important. Consider the atmosphere. It has properties you can measure: wind velocity (speed and direction), temperature, pressure, humidity, etc. All of these have values for every location and these values can change with time. Each of these properties is a field of the atmosphere. Air is a substance, but temperature is a field of the air. An example of a field in the universe that is all around us is the magnetic field. You can check its direction with a compass. It doesn't have substance, but it can produce a force that holds a magnet to your refrigerator.
Waves and particles
Music may seem like a diversion, but it's a way to understand something very fundamental - waves. A normal piano has 88 keys and can produce 88 different notes. A vibration is set up in a tight string that is fixed at both ends that vibrates that sends a sound through the air. With the strings tied down, it's a fixed wave. There are traveling waves. Slinkies are a great example as are bodies of water. (Note the volume of water that raises up isn't a wave - it's just the water reacting to part of the wave the is moving in. The wave is a long group of oscillations with a series of crests and troughs that moves through the water.)
Usually people think of particles as tiny little specks of something. An electron or a photon as a tiny bit of electron-ness or photon-ness that you generally can treat as a point. In quantum field theory the electron and photon aren't particles at all. Rather they're excitations - ripples if you like - in the electron and photon fields respectively.
The Standard Model identifies 17 fundamental fields. Twelve are associated with matter (like quarks, electrons, and neutrinos), and the remaining five (photon, gluons and the Higgs) are associated with interactions. Each of these field has a frequency it likes to vibrate at. One of your atoms as a group of ripples in the electron field - one ripple for each electron - and ripples in the up and down quark fields in each neutron and proton being held together by ripples in the gluon field. An amazing chorus of ripples in the fundamental fields.
But what about the Higgs and mass?
Important thing here is the Higgs field rather than the particle. The Higgs particle is just a ripple in the field. Physicists were able to shake the field hard enough by colliding protons at a very high energy to make the Higgs particle show up. What they really did was detect the presence of the field. The Higgs field, like the other fundamental fields, extends throughout the Universe. It interacts with the other fields (except for the photon field) and changes their properties - effectively stiffening them a bit. Without it excitations in the other fields would just be flopping around (bad analogy, but I don't have anything better). This stiffening allows them to take on their characteristic frequency. Without going into it there a relationship between the frequency of these vibrations and the energy of the vibrations (if you've had any quantum mechanics, you first look at this with light. Red light has a lower frequency than blue light so its photons are less energetic).
From special relativity there's a the famous relationship between mass and energy: E = mc2. The Higgs field interactions with the electron field and allows the electron field to vibrate at its special frequency if there's enough energy at that point in the field. We call that ripple an electron and, through Einstein's famous relationship, it now has a mass. If it didn't have mass it would fly off at the speed of light like a photon. Without electrons it would be impossible to make atoms so you wouldn't exist.
It's a mystery that there's only one Higgs field and it is as weak as it is. If it didn't interact with the electron field (and other fields other than the photon field) we wouldn't have our Universe. If it was stronger the masses might be so great that our Universe wouldn't form. (perhaps all of the ripples would collapse into little black holes).
It's curious to think about musica universalis - the concept first stated by Pythagoras when he noticed the pitch of a note is proportional to the inverse of the length of the string that produced it. It was used to build a model of the Sun and Moon. The philosophical idea built until Kepler used it in Harmonices Mundi to describe a harmonious relationship between the orbits of the planets - an intelligent designer argument. And now we have a different sort of music - not the music of the spheres, but the music spread through the universe and we're nothing if not music. Different notes in the ripples of the fundamental fields of the universe that give us the underpinning of matter and mass.
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end note - sort of
The matter we're familiar with - everything listed above.. the stars, planets, us.. .. all of that comprises about 16% of the total matter in the Universe The rest is dark matter - something very little is known about other that it interacts with regular matter gravitationally. Dark, by the way, is a very poor name as it's completely transparent to us. But it gets even more interesting If you look at the total mass energy in the universe, our kind of matter is only about 5% of the total. About 69% is called (another poor term) dark energy and basically nothing is known other than its scale and that it's causing the universe to expand more rapidly as time goes on,
There's a lot to learn.