I  *Is all matter made up of both particles and waves?*

By Paul Sutter <https://www.livescience.com/author/paul-sutter>

According to quantum mechanics, the physics theory that describes the zoo
of subatomic particles, all matter can be described as both particles and
waves. But is it real?

Wave-particle duality is a cornerstone of quantum mechanics
<https://www.livescience.com/33816-quantum-mechanics-explanation.html>,
which is our modern theory of how subatomic particles behave. The duality
states that all particles (in fact, all objects) have a wave-like property
associated with them. While most standard interpretations of quantum
mechanics treat this wave-like property as a neat mathematical trick for
calculating the probability of a particle being in one place or another,
some more radical interpretations elevate the wave to a real entity that
exists just as much as particles do. One of these interpretations, known as
the pilot-wave theory, posits that every interaction in the universe can be
described by a single set of equations — if only we could figure those out.

*THE ORIGINAL WAVES*

In 1924, French physics doctoral student Louis de Broglie proposed that
matter has a wave-like property. De Broglie was inspired by  the discovery
of wave-particle duality in light. For centuries, physicists had debated
whether light was made of tiny particles or some sort of waves. In the
mid-1800s the debate seemed to be settled with James Clerk Maxwell’s
discovery of the electromagnetic field, and his realization that light was
made of electromagnetic waves, according to "The History of Quantum
Mechanics" (CreateSpace Independent Publishing, 2017).

But in 1899, German physicist Max Planck was trying to understand a kind of
radiation known as blackbody radiation (the spectrum of light emitted by a
heated object), and the only way he could explain its properties was if he
allowed for light to be emitted in discrete little chunks, or quanta —
meaning the emitted light could be described both as particles and
electromagnetic waves.

A few years later, Albert Einstein
<https://www.livescience.com/albert-einstein.html> proposed that it isn’t
just the emission of light that is quantized, but light itself. According
to Einstein, light is made of little particles (eventually named photons
<https://www.livescience.com/what-are-photons>), and when a bunch of
photons get together they act like a wave. This wave-particle duality,
although radical, could  explain a host of experiments and observations.

*PLAY SOUND*

Planck and Einstein proposed that the wavelength of light is inversely
proportional to its momentum. So the more momentum (energy) a photon has,
the smaller its wavelength. De Broglie took this simple relationship and
got a seemingly crazy idea. Light has momentum and energy, and it has a
wave-like property. Matter also has momentum and energy, so perhaps it also
has a wave-like property.

Nervous, de Broglie’s thesis advisor sent the idea over to Einstein, who
gave it his stamp of approval.

*QUANTUM WAVES*

While the development of quantum mechanics had begun with Planck’s work,
progress stalled for a couple decades. De Broglie’s idea was the catalyst
needed to bring quantum theory into its modern form. With the realization
of wave-particle duality, physicists like Erwin Schrödinger could develop a
full quantum theory that explained the behavior of electrons inside of
atoms, according to Erwin Schröodinger's landmark 1926 paper
<https://web.archive.org/web/20081217040121/http:/home.tiscali.nl/physis/HistoricPaper/Schroedinger/Schroedinger1926c.pdf>(opens
in new tab).

But the question remained: What exactly are waves of matter? Schrödinger
argued that subatomic particles like electrons are literally smeared across
space, but his interpretation didn’t agree with experiments that showed
electrons to be point-like particles. Then German physicist Max Born
proposed an idea that  would eventually evolve into the so-called
Copenhagen interpretation of quantum mechanics: Matter waves are waves of
probability that indicate where someone can find particles the next time
they look for them. Where the waves have high values, there is a strong
likelihood of finding a particle.

*PILOT WAVES*

The double-slit experience demonstrates that matter and energy can exhibit
characteristics of both a wave and a particle.

De Broglie had a different idea. He also believed that the waves are real,
but not as a replacement for the particles. Instead, he believed they exist
alongside the particles, propagating through space and telling the
particles where to go. No one could see the true path of the particle
trajectories, which meant particles seemed to be guided by quantum
randomness, but de Broglie argued that there was no randomness involved.
Instead:  “pilot waves” always knew what to do.

De Broglie would eventually drop this idea in favor of the
waves-as-probabilities interpretation, but decades later American physicist
David Bohm picked it up again and fleshed it out into a full interpretation
of quantum mechanics. Other physicists became attracted to the pilot-wave
theory because it solved some of the major philosophical headaches plaguing
the Copenhagen interpretation. In that interpretation, the trajectory of a
particle exists in some vague quantum superposition that exists in our
mathematics — we don’t really “know” what quantum particles actually do,
and we can only guess at the probabilities of certain results happening.

In contrast, pilot-wave theory has the advantage that everything in the
theory is real and determined  — no probabilities here. Instead, in
pilot-wave theory (also known as Bohmian mechanics), the wave associated
with each particle moves through space, doing what waves naturally do
(reflecting, interfering, spreading out, and so on). What seems to be
quantum randomness to an observer is just a reflection of the fact that the
particle’s true trajectory is hidden.

However, this reality must come at a price. When two particles interact,
their pilot waves interact and entangle the particles. Entanglement
<https://www.livescience.com/what-is-quantum-entanglement.html> is a
quantum mechanical process in which the fates of subatomic particles are
linked, even across vast distances, so that a change in one will instantly
result in a change to the other. This requires a single wave equation to
describe both particles simultaneously, and they must mysteriously “know”
what the other one is up to, regardless of how far apart they are. This is
a standard result in quantum mechanics and not too surprising. But in
pilot-wave theory, this entanglement extends to the positions of the
particles themselves.

As all particles are entangled with all other particles in the universe,
there is a single wave equation that describes all particles
simultaneously, and somehow ties their positions together. This means that
in pilot-wave theory, the motions of the atoms in your body are affected by
the behaviour of every single particle in the entire universe. — and there
exists a single equation that can tie everything in the universe together.

While this implication doesn’t rule out pilot-wave theory, it does make the
proposal difficult to accept as a proper theory of physics – after all, how
could we ever claim with confidence that we have isolated all the behaviors
inside an experiment and understand what’s going on?

Emphasizing the positions of particles, and not their velocities, also
makes it difficult to make the theory fully compatible with relativity
<https://www.livescience.com/32216-what-is-relativity.html>, which says
that positions and velocities must be treated on an equal footing. Without
this compatibility, it’s difficult to expand pilot-wave theory into all the
varieties of physical systems that quantum theory applies to (like
high-energy particle colliders).

There could be an answer to these difficulties one day, and pilot wave
theory has experienced growing interest over the past few decades. But
until the question is fully resolved, the reality of wave-particle duality
remains a matter of taste.

*This is part of an ongoing series describing potential interpretations of
quantum mechanics.*

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*KR IRS 31/12/22 //1/1/23*

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