*The Theory of Everything: Searching for the universal rules of physics*

By Tereza Pultarova <https://www.space.com/author/tereza-pultarova>

Physicists are still chasing the dream of Albert Einstein and Stephen
Hawking to capture the workings of the entire universe in a single equation.
(TOE)

Physicists are searching for a theory that would unify quantum physics with
general relativity.

The Theory of Everything is an overarching hypothetical framework that
would explain the physics of the entire universe in a single equation. But
unifying theories that define the large-scale cosmological structure of the
universe with those that describe the minuscule quantum world of the
subatomic particles has been a challenge for over a century.

Figuring out such an all-encompassing theory was the dream of two legendary
physicists, Albert Einstein
<https://www.space.com/15524-albert-einstein.html> and Stephen Hawking
<https://www.space.com/15923-stephen-hawking.html>. But although equations
that describe the universe
<https://www.space.com/52-the-expanding-universe-from-the-big-bang-to-today.html>
on
the largest and smallest scales have become more precise over the decades,
they still don't unite to provide a complete picture of the physical world.
The situation is so exasperating that some of the greatest physicists of
today concede that they might not live to see it all fall into place.
Hawking himself had given up on the search for a Theory of Everything
before his death in 2018.

Cambridge University astrophysicist Christopher Reynolds admits that
Einstein's sense of "aesthetics for the universe" might be offended by the
"complex and messy" nature of current attempts to figure out the rules of
the cosmos. While the iconic German-born thinker was able to encapsulate
the workings of the world on the large scale, where the rules of gravity
<https://www.space.com/classical-gravity.html> reign supreme, in the neat E
= mc^2 (a simplified form of an equation that shows energy is equal to mass
times the speed of light
<https://www.space.com/15830-light-speed.html> squared),
things began to crumble when physicists attempted to reconcile his theory
of general relativity
<https://www.space.com/17661-theory-general-relativity.html> with quantum
physics, which describes the rules that govern the world on the smallest
scales.

*PLAY SOUND*

"Standard physics right now really has two legs to it," Reynolds told
Space.com. "One of them is the Standard Model of particle physics. Which is
a beautiful theory that explains the properties of matter. But it doesn't
explain gravity, which is the other leg."

 *GRAVITY VERSUS QUANTUM FIELD*

The Standard Model of particle physics
<https://www.space.com/standard-model-physics> is the foundation of quantum
mechanics <https://www.space.com/quantum-physics-things-you-should-know> that
describes the world of atoms
<https://www.space.com/atoms-definition-history-facts> and their
constituent particles such as the quarks
<https://www.space.com/quarks-explained> and gluons, that make up protons
and neutrons in atomic nuclei and electrons
<https://www.space.com/electrons-negative-subatomic-particles> that orbit
them. The Standard Model explains three of four fundamental forces
<https://www.space.com/four-fundamental-forces.html> that govern the
natural world: the electromagnetic force that holds atoms and molecules
together through the interaction of their electrically charged components,
the strong nuclear force which binds elementary particles called quarks
into more complex protons, neutrons and electrons (and subsequently into
atoms), and the weak nuclear force responsible for radioactive decay.

These forces are a result of particle interactions, Michael Duff, an
Emeritus Professor in theoretical physics at Imperial College London, told
Space.com. A photon exchanged between two electrons produces the
electromagnetic force, the W and Z bosons explain the strong and weak
nuclear forces. But try explaining gravity by interacting particles, and
you get to a point where the math goes awry, Duff said.

"According to Einstein, it's the geometry of space and time
<https://www.space.com/time-how-it-works> which is responsible for the
gravitational force," Duff told Space.com. "You can ask yourself whether
gravity perhaps could be a result of a particle called the graviton. And
that works quite well to a certain degree. But when you try to make a full
quantum theory of gravitons, it goes horribly wrong. Your answers, which
should be finite, turned out to be infinite."

On the large cosmic scales, where the rules of Albert Einstein's general
relativity match observations, quantum principles don't seem to apply. The
same happens when one looks for the principles of gravity in the microworld
of subatomic particles.

Duff, who has spent most of his adult life trying to reconcile the two
theoretical frameworks, describes their incompatibility as "the disaster of
the 21st century."

The journey to sort out this "disaster" started a hundred years ago, and
Duff, now 73, admits that he may not see the day when the "rules of chess"
as he calls it, are finally cracked and the Theory of Everything is
complete.

"I'm not expecting it anytime soon," Duff said. "I think the key word is
patience. It's going to take a long time, a lot of more research before we
get there, that's my guess."

*KALUZA-KLEIN THEORY AND THE BIRTH OF A MULTI-DIMENSIONAL UNIVERSE*

Even before Albert Einstein turned his famed brain to the Theory of
Everything, his contemporaries Theodor Kaluza and Oskar Klein attempted to
marry his theory of general relativity with James Clerk Maxwell's theory of
electromagnetism, which in the late 19th century had provided an
overarching explanation for the two main forces known at that time:
magnetism and the electrical force.

To make their theory work, Kaluza and Klein had to invent a world that
looked very different from what we see around us. They had to add a fifth
dimension to our three-dimensional space plus time. This fifth dimension,
however, was curled up and microscopic, a tiny loop that we cannot see on
the level of everyday life.

It was this theory that Einstein attempted to further develop into a
unified field theory, which would describe all fundamental forces,
including gravity, and the relationships between elementary particles in
terms of a single theoretical framework without the need for quantum
physics. His attempt ultimately failed. Since then things have only gotten
more complicated. Electromagnetism was superseded by the more complex
quantum mechanics, which Einstein, according to reports, never fully
accepted as it seemed too "counterintuitive." Moreover, the number of
dimensions of the universe
<https://www.space.com/52-the-expanding-universe-from-the-big-bang-to-today.html>
needed
for the evolving Theory of Everything (sometimes called quantum gravity
<https://www.space.com/quantum-gravity.html>) to work, has more than
doubled.

*Michael Duff*

Emeritus Professor of Theoretical Physics at Imperial College London

Michael Duff is an Emeritus Professor of theoretical physics at Imperial
College London. Duff gained his PhD in theoretical physics in 1972 at
Imperial College under Nobel Laureate Abdus Salam and has spent decades
researching the unifying theory of physics. He is known for his
contributions to the development of quantum gravity, supergravity, string
theory and M-theory. He wrote the first book devoted to M-theory, The World
in Eleven Dimensions: Supergravity, Super membranes and M-theory, which he
published in 1999. He is a recipient of the 2004 Meeting Gold Medal from
the El Colegio Nacional, Mexico, the 2017 Paul Dirac Gold Medal and Prize
from the Institute of Physics, the U.K., and the 2018 Trotter Prize, USA.

*STRING THEORY AND THE MULTIVERSE*

The first big breakthrough since Kaluza and Klein's 1920s theory came in
the 1980s in the form of String Theory
<https://www.space.com/17594-string-theory.html>. At that time, physicists,
desperate to get rid of the infuriating infinite values produced by the
theoretical colliding graviton particles (mentioned by Duff), proposed that
elementary particles of the microcosmos perhaps weren't simple points in
space but instead tiny loops of strings, which only appear pointlike to us.

"It looked for a moment maybe as though this was the answer to all our
prayers," Duff said. "But soon we found that there were other problems."

Just like Kaluza-Klein Theory, String Theory didn't work in the ordinary
four-dimensional universe. But it didn't work in Kaluza and Klein's five
dimensions either. A universe of 10 and ultimately 11 dimensions emerged on
physicists' blackboards, where not just one but six to seven dimensions had
to be curled up in the invisible realm for the theory to work.

"It turns out that with String Theory you can do some fairly wonderful
things," said Reynolds. "You can work out the vibration modes of these
strings and then you figure out that the different vibration modes can take
on the characteristics of different particles. An electron would be a
string with one vibration mode, a quark would be a string with another
vibration mode. You start to be able to describe different particles in
nature as being different vibration modes of these strings."

So far, so good. The problem is that the way a string vibrates depends on
how it's wrapped up. When mathematicians tried to calculate the number of
possibilities of this wrapping-up, they arrived at astounding values.

"The number they often quote is 10 to the power of five hundred," Reynolds
said. "That is a ten with 500 zeros after it. That's the number of
different ways you can wrap the strings up."

Each of these wrapping combinations generates a possible universe in four
dimensions, added Duff, a nearly endless plethora of possibilities one of
which should represent the universe we inhabit.

"Some of them look like our universe, with the right numbers of quarks and
electrons and so on, but some of them look nothing like our universe," Duff
said. "And the problem we're faced with in String Theory is how do we pick
the right one? Is there a right one? Because there seem to be billions of
different possibilities."

By suggesting a multitude of different recipes for spacetime, the fabric of
the universe, String Theory helped originate the multiverse
<https://www.space.com/32728-parallel-universes.html> concept, a theory of
alternate universes alongside ours which may possess different physical
laws than the universe we live in.

*Christopher Reynolds*

Professor of Astronomy at Cambridge University

Christopher Reynolds is a professor of astrophysics at the University of
Cambridge. He is a specialist in observational and theoretical high-energy
astrophysics <https://www.space.com/26218-astrophysics.html>. He studies
the role of black holes in the universe and relativistic phenomena that
appear in the vicinity of black holes
<https://www.space.com/where-do-black-holes-lead.html> where the rules
defined by the Standard Model of particle physics break.

*SUPERSYMMETRY AND SUPERGRAVITY*

To make the String Theory equations work, physicists had to reconcile the
behaviours of two types of particles: bosons
<https://www.space.com/what-are-bosons> and fermions. Quarks, the building
blocks of protons and neutrons, are fermions as are electrons. This means
fermions are the fundamental constituents of matter. Bosons, like photons,
gluons, and W and Z bosons, on the other hand, carry the forces that hold
this matter together. Both of these types of particles are characterized by
their spin, which is the amount of angular momentum a particle possesses
and determines which way it will travel when exposed to a magnetic field.
The spin values of fermions and bosons can also exist in discrete amounts
and spin is conserved for all particles, but these values are very
different for these families of particles.

"Bosons have an intrinsic angular momentum which is a [whole number] like
0,1,2,3," Duff explained. "Fermions have spins in halves: spin half, spin
three halves. So for many years, we thought these two [types of particles]
were like chalk and cheese. We couldn't put them together."

Physicists solved this problem with the concept of supersymmetry
<https://www.space.com/no-signs-supersymmetry-large-hadron-collider>, which
assumes that each Standard Model particle has its "super partner" in the
other group. This means a bosonic super partner for each fermion and a
fermionic super partner for each boson, with these super partners
possessing a spin number that differs by a half to its Standard Model
counterpart.

Inserting supersymmetry into the equations helped string theorists to
settle on 11 instead of 10 dimensions of the universe. This development
pleased Duff, who, at that time, was a part of a group of theorists
developing a theory called supergravity
<https://www.space.com/supergravity-discovery-physics-breakthrough-prize.html>.
The theory of supergravity didn't operate with strings but with what Duff
describes as "membranes", and these membranes would only work in 11
dimensions.

"For a while, we were a splinter group looking at 11 dimensions and seeing
where it took us," Duff said. "The string theorists were still looking at
10 dimensions and for a while it wasn't clear whether we were on the same
page."

*M THEORY* <https://www.space.com/theory-of-everything-definition.html>

Black holes 'leak' a form of thermal radiation that is known as Hawking
Radiation. (Image credit: Mark Garlick/Science Photo Library/Getty Images)
<https://www.space.com/theory-of-everything-definition.html>

Throughout the 1980s and 1990s, competing approaches were developing side
by side. Then, in 1995 came another breakthrough when American physicist
Edward Witten proposed his M Theory
<https://www.space.com/string-theory-11-dimensions-universe.html>. M
Theory, according to Duff, provided an umbrella for the various String
Theory variations that existed at that time.

"At first, there were six different approaches," said Duff. "And Witten
showed us that they weren't really six different theories but rather six
different corners of a deeper, more profound theory that he called the M
Theory."

M Theory solved many problems, Duff added. It enabled physicists to perform
more exact calculations and reconciled String Theory with Stephen Hawking
<https://www.space.com/15923-stephen-hawking.html>'s black hole formula and
his theory that black hole
<https://www.space.com/15421-black-holes-facts-formation-discovery-sdcmp.html>s
'leak' a form of thermal radiation that would come to be known as "Hawking
Radiation," evaporating as they do so.

M Theory also introduced what Duff calls the holographic principle
<https://www.space.com/early-universe-holographic-phase-transition-gravitational-waves>,
which states that "the gravitational world in a certain number of
dimensions can be described by a non-gravitational theory that lives on its
boundary, which has one dimension less," said Duff, admitting that the
claim, while rather "astonishing," seems to work.

Still, the Theory of Everything is far from worked out, Duff said. Most
importantly, physicists still don't know how to pick out from billions of
possible string-wrapping combinations the one combination that fits our
universe.

"Whether M theory is the right theory or not, we don't know, but it's the
most promising candidate," said Duff. "But if it is, how long it will take
us to figure out all the details is anyone's guess."

*THE THEORY OF EVERYTHING'S MISSING PIECES: AXIONS AND DARK MATTER*

In the meantime, scientists keep looking for the missing piece of
information that could plug the holes in a potential Theory of Everything.
Experiments in particle accelerators such as CERN's Large Hadron Collider
<https://www.space.com/large-hadron-collider-particle-accelerator> in
Geneva, or observations of the most distant universe may one day produce
the breakthrough that generations of theoretical physicists have been
waiting for.

That breakthrough, Reynolds said, will most likely come from research into
the nature of dark matter <https://www.space.com/20930-dark-matter.html>,
the elusive invisible substance that must make up about 85% of all matter
in the universe to explain the gravitational behaviour of galaxies
<https://www.space.com/15680-galaxies.html> and galaxy clusters
<https://www.space.com/huge-galaxy-cluster-200-lasers>.

"There is no explanation for dark matter in the Standard Model of particle
physics," Reynolds said. "There's something out there that we just have
very low-fidelity data on. If we could somehow detect those dark matter
particles or detect some signature of dark energy
<https://www.space.com/dark-energy-what-is-it> [the force driving the
accelerating expansion of the universe], then that would start to really
say whether the Theory of Everything is really something along the lines of
String Theory or whether it's something completely different."

Astrophysicists, such as Reynolds, as well as particle physicists working
with particle accelerators, have an idea of what they are looking for: a
particle called axion <https://www.space.com/dark-matter-axions-best-bet>,
which is suggested as a candidate for dark matter particles and is, in
fact, predicted by String Theory.

"There's a flurry of experiments right now happening that are trying to
detect these axion signatures," Reynolds said.

Researchers think axions have an odd ability to convert into X-ray photons
when traveling through powerful magnetic fields. X-ray observatories such
as NASA's Chandra space telescope
<https://www.space.com/18669-chandra-x-ray-observatory.html> may therefore
play an important role in finding out whether axions actually exist.

"We are trying to look at some of the largest magnetized systems in the
universe such as galaxy clusters," said Reynolds. "You can have something
like 1,000 galaxies trapped in the gravitational potential of dark matter
surrounded by magnetized hot gas. And through this gas we can see X-rays
generated by supermassive black holes
<https://www.space.com/supermassive-black-hole>. If axions exist, there is
a probability that some of the X-ray photons will convert into axions and
we will be able to see that as distortions in the light spectra that we
measure."

Future missions, such as the European Space Agency's Athena mission
<https://www.space.com/35708-esa-athena-facts.html>, as well as
next-generation particle colliders, may finally find the answer.

*WHAT WILL HAPPEN IF WE FINALLY CRACK THE THEORY OF EVERYTHING?*

What will happen when all the pieces of the puzzle finally fall into place
and we understand how our world works? Will that be the end of physics?
Duff disagrees. After we learn the "rules of chess", he said, we can
finally "start playing the game".

Cracking the Theory of Everything will surely lead to a flurry of Nobel
Prizes. But what comes next? We will have to wait and see.

KR: END NOTE: Stephen Hawking totally surrendered in admitting when he was
at the end that it is not possible to find a single theory.  KR IRS 241222

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