Quantum literally means “how much”, but is today used to describe the minimum unit of energy or matter. It was Planck who realised that there was a minimal “quantum of action”, in effect, there is a minimum change that can be measured in nature, which became known as Planck’s constant, or h, which equals 6.6 x 10-34 Js (joules per second). The implications from this were profound, not least of which were that any measurement of nature is based on quantum effects, and that the size and shape of things is also determined by Planck’s constant. It also means that there is always motion within matter; at the molecular level, the shape of things is determined by an average and motion is therefore “fuzzy”, and it is impossible to assign both momentum and position of a particle. It also means that the so called “energy barriers” normally encountered in most physical/biological/chemical system may not be barriers at all. This describes one of the most fascinating principles of the quantum world, “tunnelling”. The phenomenon of “tunnelling” explains how objects can permeate energy barriers without the necessary energy because they can exist as probability waves; the likelihood of this can be predicted by the Schrödinger equation. This basically tells us that the ability to do this depends on their energy and mass, and the width of the barrier. It is actually quite likely for very small particles like electrons and protons, but extremely unlikely for large objects such as humans. Thus increasing temperature can enhance the effect as it can impart more energy, although as we will discuss later, it also can inhibit it.
To explain quantum tunnelling, a signature effect predicted by quantum mechanics, one of the basic concepts underlying the quantum world is that of wave-particle duality; De Broglie showed that just as a photon can behave both as a wave and a particle, all particles could have a “wave function” ascribed to them – matter-waves. This was pivotal, as electrons could thus also behave as waves. The wave function also displays something called “phase”, in effect quantum particles behave as a rotating cloud, and thus can be influenced by magnetic fields; they have “spin”. Spin explains Pauli’s exclusion principle and why atoms, or planets, don’t collapse in on themselves and matter feels “hard”. However, tunnelling also depends on “quantum coherence” such that an electron, proton, atom, or a group of atoms, exist in “quantum superposition” - in effect, it or they exist as a collection of all possible states. Another facet of this is “entanglement”, or as Einstein put it, “spooky action at a distance” – which describes the ability of two entangled particles to “know” the state of the other when one is observed, regardless of distance – instantaneously. This is known as “non-locality”, as encompassed by Bell’s theorem; this is a profound departure from classical physics. Bell’s inequality has now been tested repeatedly, and the most recent experiment does strongly suggest that quantum entanglement is entirely real [37]. From the quantum point of view, once entangled, two particles have to be regarded as the same entity, irrespective of distance. Thus entanglement is not only key to understanding reality, but is key to many current and future technologies, including quantum computing [38].
However, when particles are observed, they appear in one particular state and thus display classical properties we associate with the everyday world. Thus to exist in a non-classical quantum state, they need to be isolated from external interference from the environment; as soon as this system interacts with it, it becomes “decoherent” and they would appear to behave as particles rather than probability waves; effectively they are being “observed” (a sort of Schrödinger’s cat condition). The more particles involved, the quicker the quantum state collapses – as maintaining a coherent state becomes increasingly difficult with increasing size due to interaction with the environment. This is why a tennis ball, although it can be technically be assigned a wave length, is always observed as a tennis ball; calculating its de Broglie wavelength, which is obtained by dividing the Planck constant by the ball’s momentum, is around 10-34 m, while that of an electron, with a rest mass energy of 0.511 MeV, at 1eV, is 1.2 nm. It is also why a cat does not exist in superposition; it is intimately coupled to its environment. The important message here is that microscopically, coherence is possible, not only for single entities, such as electrons, but also for larger groups of atoms – indicating that they can behave as one entity. But this state is rapidly lost via interaction with the wider environment; this is explainable thermodynamically, because most “environments” contain vast number of molecules that display randomness. This is why we view the world macroscopically. For a basic introduction to quantum physics, a good starting point is the 30-second quantum theory book, edited by Brian Clegg [39], or for a more detailed over-view, the free to down load text book: “Motion mountain – adventures in physics, volume IV, the quantum of change”, edition 28.1, 2016, by Christoph Schiller (http://www.motionmountain.net/) is a good, but more in-depth reference.