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Quantum Physics Report

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The Theory of Everything
Milan Mangat
Mr. Simnett
SPH4UA
15 December 2019
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Introduction
The search for a unifying theory of everything has been the subject of much controversy and
excitement amongst physicists since the early 1920’s. The idea of whether the nature of the universe
could be explained using a single set of laws, the theory of everything (TOE), has been questioned but
not yet proven. As scientists try to come up with what it is, they must prove and disprove ideas to
develop more accurate conclusions. Recently, scientists believe that the TOE can be explained using a
detailed examination of the unification of the four fundamental forces and through the use of the
superstring theory.
Gravity Let Us Down
Scientists believe that they have found the elementary particles that make up everything in the
universe. They are split into two categories, matter particles and force-carrying particles, where matter
particles release force-carrying particles. Since these particles emit waves of frequencies larger than
visible light, they cannot be detected directly, but have been proven to exist because when a matter
particle releases or gains a force carrying particle its velocity changes. According to the effects of the
force-carrying particles scientists have determined the four fundamental forces in the universe. The first
is the electromagnetic force, this force is produced when the force-carrying particle, the photon, is
released to produce visible light. Moreover, the weak nuclear force is responsible for radioactivity which
is created by two force-carrying particles called bosons, more specifically the W bosons (W+ and W-) and
Z boson. The electroweak theory is the unification of the weak nuclear and electromagnetic forces
(figure 1 (a)). Furthermore, the strong nuclear force creates the structure of the atom by holding
protons and neutrons together. It is also responsible for holding the contents of individual protons and
neutrons together. This force is created through the emission of the force-carrying particles called
gluons. The electromagnetic, weak nuclear and strong nuclear forces become one force at the grand
unification energy level (figure 1 (b)). However, the gravitational force has not yet been able to be
unified with the rest.
a
b
c
Figure 1 (a) at higher energy levels the electromagnetic and weak nuclear forces become the unified electroweak force. (b)
At consecutively higher energy levels the strong nuclear force gets weaker until, the electroweak force and strong nuclear
force meet to become the Grand Unified Theory (GUT). (c) The Theory of Everything (TOE) is where gravity unifies with GUT
and all four forces as well as their force-carrying particle become identical.
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The gravitational force is by far the weakest of the four forces, its affects are only noticeable
because it can act over long distances and because it is always attractive. All of the other fundamental
forces release force-carrying particles which leads scientists to believe that the graviton is the forcecarrying particle for gravity. Unlike the other three forces, a graviton is purely theoretical and because of
gravity’s bases on the general theory of relativity its fundamentals differ greatly from those of the other
forces proving them hard to combine. Since TOE cannot be achieved without gravity (figure 1 (c), above)
and the energy level required by the TOE cannot be produced in particle accelerators, it can never be
tested for. In order to prove that the TOE is a possibility, scientists must research and theorize what the
graviton is and although a single graviton has not yet been detected, gravitational waves have.
On February 11, 2016, using the LIGO (Laser Interferometer GravitationalWave Observatory) scientists detected a gravitational wave created by a collision
between two black holes that happened nearly 1.3 billion years ago (figure 3).
Both LIGOs, located in Livingston, Louisiana and Hanford, Washington detected
the ripple only 7 milliseconds apart and the waves matched the ones that were
calculated by supercomputers using the theory of relativity which helped confirm
their discovery. The gravitational waves proved gravitons exist (figure 2) but
despite this evidence the TOE still cannot be proved because even in gravitational
waves, the individual gravitons cannot be detected. Due to this, scientists are left
with no option but to create an experiment that has enough energy to detect a
single graviton or find a new way to prove its existence and is essentially what they
wish to do using the superstring theory.
Figure 3, shows how
electromagnetic waves are
produced of individual photons.
This knowledge led scientists to
believe that gravitational waves
are produced by individual
gravitons.
Figure 2, gravitational waves squeeze and stretch space therefore as a gravitational wave passes the LIGOs laser beams,
the time the beams take to reach the mirrors should change because the wavelengths of the laser beams will change.
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Hanging on By A Thread
Superstring theory is one method to explain the Theory of Everything where the
fundamental components of the universe are made up of strings, not points. It is also said
that different vibrations of these strings produce all of the elementary particles that we
know, such as photons and bosons (figure 4). General relativity was the first to explain the
idea of gravity caused by the warping of space and time in four dimensions so it was
believed by some scientists that another dimension would be required if they wanted to
describe another force. When this idea was tested by Theodor Kaluza for the
electromagnetic force, with the addition of a fifth dimension, Kaluza ended up with the
original equation for magnetism that was originally determined by Clerk
Figure 4, this shows the elementary
Maxwell but through the use of equations based on five dimensions. This
particles of the diamond as stings, the
shape of the string indicates it is vibrating
seemingly supports the idea that the superstring theory would require
multiple dimensions in order to work.
According to scientists such as Kaluza, these extra dimensions are
proposed to be so small in size that they are practically invisible thus unnoticeable.
Many scientists believe that the 11 dimensions of the superstring theory each
explain a fundamental aspect of the world. It is thought that numbers like the
mass of an electron, the strength of the electromagnetic force and etc., are
believed to be based on the forms of the dimensions. This ideology is based on the
fact that those values are constants therefore a change in them would altered the
universe we know just like how a change in the dimensions we live in would have
the same affect. These extra dimensions take the form of Calabi-Yau’s (figure 5).
Figure 5, the extra dimensions
Essentially, strings are affected by the shapes of the dimensions because the way
fold in on themselves to form a
they vibrate is altered by the geometry of the extra dimensions. If the shape of
Calabi-Yau shape, where the grid
is the dimension of space time.
the extra dimensions can be discovered physicists believe they would be able to
On the smallest possible scale
calculate the exact vibrations that strings would have in each dimension. The
this is how the universe would
vibrations should correlate with the fundamental values (e.g. mass of the
appear according to superstring
electron or strength of the electromagnetic field) that are known, and if they do
theory
then the superstring theory as well as the TOE can be proved.
Using the Large Hadron Collider (LHC) at CERN in Geneva, Switzerland scientists hope to test for
these other dimensions specifically to unify gravity with the other fundamental forces. As stated in the
section above, the search for the graviton would require such large amounts of energy that it is
practically impossible. However, physicists believe that it can be done with the addition of another
dimension because it would cause the intensity of gravity to decrease rapidly (figure 6a-d, below). This
interaction cannot be observed so scientists have planned to measure the energy and momentum in our
dimension before and after the collisions to see if it changes. Due to the law of conservation of
momentum and energy, if either of these change from before the collision to after there would be
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reason to believe it has entered another dimension. If this test can be done and proved scientists would
be one step closer to the complete theory of everything.
a
b
c
d
Figure 6, 6a and 6b show how the LHC sends particles travelling in opposite direction, near the speed of light and into head on
collisions. After the two particles collide, 6c and 6d show how a graviton is released into a fifth dimension.
Conclusion
All in all, physicists have gained more knowledge about the theory of everything and what it
could be through thorough research on the four fundamental forces and the importance of uniting
gravity with the electromagnetic, weak nuclear and strong nuclear forces. Since it is nearly impossible to
do so with experiments alone, the superstring theory is being used to help explain the existence of the
graviton. If it can be proved through experiment it would unlock the key to the grand unified theory.
Ultimately, physics greatest breakthroughs start off as questions of what something could be, where
tests, experiments and theories are developed to support or reject ideas and conclusions are made. For
all we know, the proven existence of extra dimensions and the graviton can open the door to
understanding concepts like dark matter or dark energy or even something far more unimaginable than
that.
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Work Cited
Hawking, Stephen. A Brief History of Time. Bantam Books, 2017.
“Extra Dimensions, Gravitons, and Tiny Black Holes.” CERN, home.cern/science/physics/extradimensions-gravitons-and-tiny-black-holes.
OpenStaxCollege. College Physics, 23 Jan. 2012, opentextbc.ca/physicstestbook2/chapter/guts-theunification-of-forces/.
“Unified Forces.” CERN, home.cern/science/physics/unified-forces.
“What Is a Gravitational Wave?” NASA, NASA, 26 Nov. 2019, spaceplace.nasa.gov/gravitationalwaves/en/.
Wood, Charlie. “String Theory: A Brief Overview.” Space.com, Space, 11 July 2019,
www.space.com/17594-string-theory.html.
Mann, Adam. “What Is the Theory of Everything?” Space.com, Space, 29 Aug. 2019,
www.space.com/theory-of-everything-definition.html.
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