The Universe in the Rearview Mirror
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Description
Book Introduction
In his book, The Universe in the Rearview Mirror, physicist Dave Goldberg provides clear and humorous answers to all these questions, focusing on the keyword “symmetry.”
Symmetry is a great concept that has driven revolutionary developments at the foundation of modern physics, from astrophysics on a cosmic scale to particle physics on the scale of subatomic particles, without ever coming to the forefront of physics in the past century.
The book also sheds light on Emmy Noether, a little-known but brilliant female mathematician who laid a solid foundation for modern physics as a master of symmetry.
Symmetry is a great concept that has driven revolutionary developments at the foundation of modern physics, from astrophysics on a cosmic scale to particle physics on the scale of subatomic particles, without ever coming to the forefront of physics in the past century.
The book also sheds light on Emmy Noether, a little-known but brilliant female mathematician who laid a solid foundation for modern physics as a master of symmetry.
- You can preview some of the book's contents.
Preview
index
Preface ----- 009
1.
Antimatter ----- 025
Why is the universe not empty and has something in it?
2.
Entropy ----- 079
Where does time come from? What is the true nature of time?
3.
Cosmic Principle ----- 127
- Why does it get dark at night?
4.
Emmy Noether ----- 181
- A person who discovered the profound meaning of symmetry
5.
Theory of Relativity ----- 219
- Why is real-time communication impossible between galaxies?
6.
Gravity ----- 261
- Why can't black holes exist forever?
7.
Particle Swapping ----- 311
- Principle of space travel device
8.
Spin ----- 337
- Why am I not a 'conscious helium gas'?
What does a piece of a neutron star do to me?
9.
Higgs boson ----- 375
The Origin of Mass, and Why Physics Is Different from Stamp Collecting
10.
Hidden Symmetry ----- 423
- Why do objects reflected in a mirror appear closer than they appear?
Appendix 1.
List of Particle Zoo residents ----- 464
Appendix 2.
A Brief Dictionary of Symmetry ----- 466
Further Reading ----- 470
References ----- 472
Acknowledgments ----- 489
Translator's Note ----- 493
Search ----- 497
1.
Antimatter ----- 025
Why is the universe not empty and has something in it?
2.
Entropy ----- 079
Where does time come from? What is the true nature of time?
3.
Cosmic Principle ----- 127
- Why does it get dark at night?
4.
Emmy Noether ----- 181
- A person who discovered the profound meaning of symmetry
5.
Theory of Relativity ----- 219
- Why is real-time communication impossible between galaxies?
6.
Gravity ----- 261
- Why can't black holes exist forever?
7.
Particle Swapping ----- 311
- Principle of space travel device
8.
Spin ----- 337
- Why am I not a 'conscious helium gas'?
What does a piece of a neutron star do to me?
9.
Higgs boson ----- 375
The Origin of Mass, and Why Physics Is Different from Stamp Collecting
10.
Hidden Symmetry ----- 423
- Why do objects reflected in a mirror appear closer than they appear?
Appendix 1.
List of Particle Zoo residents ----- 464
Appendix 2.
A Brief Dictionary of Symmetry ----- 466
Further Reading ----- 470
References ----- 472
Acknowledgments ----- 489
Translator's Note ----- 493
Search ----- 497
Detailed image
Into the book
Looking back, physics has made great leaps forward each time it realized that phenomena that seemed completely different were the result of the same cause.
And whenever I trace the origin of commonalities, I always end up arriving at the concept of 'symmetry'.
--- p.
10
“Persian carpets are completely imperfect and precisely inaccurate.” Experts claim that traditional Persian carpets are made even more beautiful by the partial breakdown of symmetry.
In this respect, it is fortunate that our universe is asymmetrical.
If the universe had a perfectly symmetrical structure, it would be a very dull and boring universe.
--- p.
23
What exactly happened in the early days of the universe? No one knows the answer.
All we know is that some sort of symmetry breaking occurred shortly after the universe was born, and we came into existence.
Since temperatures were incredibly high in the early universe, symmetry breaking is probably temperature-related.
(…) Even at these extremely high temperatures, the asymmetry between matter and antimatter was extremely small.
For every billion antiparticles created, one billion particles were created.
The difference between the two was only one in a billion, just one.
(…) Eventually, most of the particles and antiparticles met and annihilated each other, leaving behind an excess of one billionth, which formed all the matter that exists today.
--- p.
75~77
On the surface, time and space seem very different.
In space, I can move in any direction I want and even stay in one place if I want, but in time, this is impossible.
Rich or poor, smart or dumb, everyone is being mercilessly transported to the future.
But in fact, time and space have so much in common that they were united as 'one family' by Einstein's special theory of relativity.
The speed of light c is a constant that determines the exchange rate between matter and energy (E=mc2), and at the same time, it is also a constant that connects time and space.
--- p.
83
If we can predict the future of the universe from its past, can we predict the laws of physics in the future from the laws of physics in the past? (…) Several natural phenomena have been discovered over the years that show that the laws of nature are independent of time, the most surprising of which is the discovery of a uranium mine in the village of Oklo, Gabon, Africa, in 1971.
(…) The uranium mines in Oklo have been confirmed to have once housed a natural nuclear reactor for millions of years.
It's amazing that such a place exists, but what's even more surprising is that the rate at which nuclear waste, a byproduct of nuclear fission, is produced is exactly the same rate as the waste produced by nuclear reactors in use today.
(…) Time symmetry, which states that all laws of physics apply equally in different time zones, is another expression of the law of conservation of energy, and although it is not apparent, it plays a very important role.
--- p.
96~99
The combination of homogeneity and isotropy is the so-called 'cosmological principle'.
According to this principle, the universe maintains almost the same shape regardless of direction and location.
--- p.
143
Symmetry is beautiful and elegant in itself, but its aesthetic qualities are only the tip of the iceberg.
We can discover new laws of physics from the existence of symmetry! Emmy Noether laid a solid foundation for theoretical physics by imposing rules on symmetry, but she quietly left us without receiving any recognition or honor.
--- p.
217
In the future, stars, planets, and cosmic dust will spiral into the black hole, and after 1,000 trillion years, even the black hole will evaporate and disappear.
Meanwhile, the universe continues to expand, leaving the cold gas clouds completely isolated.
Ultimately, our universe will remain a cold space with nothing but entropy.
This is the price we must pay in a universe where time flows only into the future.
Symmetry is a fundamental principle that governs not only the beginning of the universe but also its end.
--- p.
308~309
No matter what we think, the molecules that make up our bodies are not ours.
98% of your body is replaced every year.
So comedian Steven Wright once joked:
“I woke up one morning to find that someone had stolen my body and replaced it with another.” Wright’s joke wasn’t a tall tale, but rather a slight exaggeration of reality.
Since all atoms of the same type are physically identical, if you swap a carbon atom in your body for another, you will still be you.
This is the fundamental symmetry that exists in the universe.
--- p.
314~315
The universe was very hot in its early stages.
It's like a situation where countless people are jumping around frantically on a 'Hicks trampoline'.
Or it is similar to the situation where Sisyphus, who was suffering from endless repetitive hard labor, suddenly loses his mind and starts pushing the rock in any direction he can.
Because the universe was so hot, the Higgs rock could not have rolled far down the peak.
But as time passed and the universe cooled rapidly, Sisyphus regained his composure, and the rock rolled down into a deep valley.
The beautiful symmetry of the beginning was broken.
At first, the rock could roll in any direction, but once it started rolling, one direction was chosen, and from then on, this direction took on a special meaning.
--- p.
410~411
And whenever I trace the origin of commonalities, I always end up arriving at the concept of 'symmetry'.
--- p.
10
“Persian carpets are completely imperfect and precisely inaccurate.” Experts claim that traditional Persian carpets are made even more beautiful by the partial breakdown of symmetry.
In this respect, it is fortunate that our universe is asymmetrical.
If the universe had a perfectly symmetrical structure, it would be a very dull and boring universe.
--- p.
23
What exactly happened in the early days of the universe? No one knows the answer.
All we know is that some sort of symmetry breaking occurred shortly after the universe was born, and we came into existence.
Since temperatures were incredibly high in the early universe, symmetry breaking is probably temperature-related.
(…) Even at these extremely high temperatures, the asymmetry between matter and antimatter was extremely small.
For every billion antiparticles created, one billion particles were created.
The difference between the two was only one in a billion, just one.
(…) Eventually, most of the particles and antiparticles met and annihilated each other, leaving behind an excess of one billionth, which formed all the matter that exists today.
--- p.
75~77
On the surface, time and space seem very different.
In space, I can move in any direction I want and even stay in one place if I want, but in time, this is impossible.
Rich or poor, smart or dumb, everyone is being mercilessly transported to the future.
But in fact, time and space have so much in common that they were united as 'one family' by Einstein's special theory of relativity.
The speed of light c is a constant that determines the exchange rate between matter and energy (E=mc2), and at the same time, it is also a constant that connects time and space.
--- p.
83
If we can predict the future of the universe from its past, can we predict the laws of physics in the future from the laws of physics in the past? (…) Several natural phenomena have been discovered over the years that show that the laws of nature are independent of time, the most surprising of which is the discovery of a uranium mine in the village of Oklo, Gabon, Africa, in 1971.
(…) The uranium mines in Oklo have been confirmed to have once housed a natural nuclear reactor for millions of years.
It's amazing that such a place exists, but what's even more surprising is that the rate at which nuclear waste, a byproduct of nuclear fission, is produced is exactly the same rate as the waste produced by nuclear reactors in use today.
(…) Time symmetry, which states that all laws of physics apply equally in different time zones, is another expression of the law of conservation of energy, and although it is not apparent, it plays a very important role.
--- p.
96~99
The combination of homogeneity and isotropy is the so-called 'cosmological principle'.
According to this principle, the universe maintains almost the same shape regardless of direction and location.
--- p.
143
Symmetry is beautiful and elegant in itself, but its aesthetic qualities are only the tip of the iceberg.
We can discover new laws of physics from the existence of symmetry! Emmy Noether laid a solid foundation for theoretical physics by imposing rules on symmetry, but she quietly left us without receiving any recognition or honor.
--- p.
217
In the future, stars, planets, and cosmic dust will spiral into the black hole, and after 1,000 trillion years, even the black hole will evaporate and disappear.
Meanwhile, the universe continues to expand, leaving the cold gas clouds completely isolated.
Ultimately, our universe will remain a cold space with nothing but entropy.
This is the price we must pay in a universe where time flows only into the future.
Symmetry is a fundamental principle that governs not only the beginning of the universe but also its end.
--- p.
308~309
No matter what we think, the molecules that make up our bodies are not ours.
98% of your body is replaced every year.
So comedian Steven Wright once joked:
“I woke up one morning to find that someone had stolen my body and replaced it with another.” Wright’s joke wasn’t a tall tale, but rather a slight exaggeration of reality.
Since all atoms of the same type are physically identical, if you swap a carbon atom in your body for another, you will still be you.
This is the fundamental symmetry that exists in the universe.
--- p.
314~315
The universe was very hot in its early stages.
It's like a situation where countless people are jumping around frantically on a 'Hicks trampoline'.
Or it is similar to the situation where Sisyphus, who was suffering from endless repetitive hard labor, suddenly loses his mind and starts pushing the rock in any direction he can.
Because the universe was so hot, the Higgs rock could not have rolled far down the peak.
But as time passed and the universe cooled rapidly, Sisyphus regained his composure, and the rock rolled down into a deep valley.
The beautiful symmetry of the beginning was broken.
At first, the rock could roll in any direction, but once it started rolling, one direction was chosen, and from then on, this direction took on a special meaning.
--- p.
410~411
___From the text
Publisher's Review
Symmetry and Emmy Noether: The Hidden Heroes Who Led the Revolution in Modern Physics
Why is the universe not empty, but rather filled with something? Why is the night sky dark? If antimatter exists, could antihumans also exist? Why is there only past, present, and future in time? How did time and space become like butterfly wings?
In his book, The Universe in the Rearview Mirror, physicist Dave Goldberg provides clear and humorous answers to all these questions, focusing on the keyword “symmetry.”
Symmetry is a great concept that has driven revolutionary developments at the foundation of modern physics, from astrophysics on a cosmic scale to particle physics on the scale of subatomic particles, without ever coming to the forefront of physics in the past century.
The book also sheds light on Emmy Noether, a little-known but brilliant female mathematician who laid a solid foundation for modern physics as a master of symmetry.
Antimatter, relativity, the standard model, the double helix of DNA, gravity, and black holes…
The one powerful keyword that penetrates everything: symmetry
“We must never forget that what we see is not nature’s true nature, but what nature reveals to us in response to our way of asking questions.” - Werner Heisenberg
Could there be another "me" in another universe? How did the universe and matter come into being? Pursuing these fundamental questions inevitably leads us to encounter limitations, either too small or too large, as if knowledge is beyond human reach.
Physicist Dave Goldberg's "The Universe in the Rearview Mirror" is a challenging, popular science book that explains the microscopic world invisible to our eyes, as well as the macroscopic world, using the single keyword of "symmetry."
It features an easy-to-understand introduction to what modern physics has to say about what the symmetry of the universe means, what happens when some symmetries are broken, and why everything, including us, exists.
In particular, by depicting the life and achievements of Emmy Noether, a genius female mathematician who was not well known until now, in the context of physics centered on symmetry, it also reminds us why 'Noether's theorem' is the foundation of modern physics.
The author's dazzling writing skills, which skillfully tackle heavy physics topics with a lively wit, are truly admirable.
Perhaps it will be difficult to find another physics book that is so humorous, yet so sophisticated, yet so challenging, yet never boring.
A new talker in the scientific world who can even joke around like Feynman
“Once you get it, you can’t let it go.” - Richard Gott, Professor of Astrophysics, Princeton University
The author guides us into a world reflected in a mirror to show that everything in space and time is formed by hidden symmetry.
The universe in the rearview mirror, where electrons have a positive charge instead of a negative one, the heart beats on the right side of the chest instead of the left, and time flows backwards, is a wondrous and fascinating place.
The universe in the rearview mirror, where matter is turned into antimatter, left and right are reversed, and time is reflected in reverse, is clearly different from the real universe, but on the other hand, it is perfectly symmetrical and appears closer than it appears.
A symmetrical universe is beautiful.
But our universe is all the more beautiful and interesting because some of its symmetry is broken.
The author explains the symmetry that exists or once existed in the universe and the process of symmetry breaking down to the present using easy metaphors and concise logic.
While many popular science books explore the unification of physical laws, this book goes a step further by focusing on fundamental symmetries, thereby revealing the beauty of the universe in a more vivid way.
Moreover, the author's unique lively chatter, brimming with quirky wit, runs wild from the infinite galaxy to the empty particle world, leaving no room for readers to get bored.
The author's humorous yet profound insights, infectious enthusiasm, and fast-paced, exciting pace make physics accessible to everyone.
Why is symmetry important?
From the Big Bang to the Higgs boson, the key to understanding the universe is symmetry and where symmetry breaks down.
The author consistently emphasizes the importance of symmetry throughout this book.
In fact, the beginning of the universe was a period of symmetry and the breakdown of symmetry.
The incredibly hot energy at the beginning of the universe created countless pairs of particles and antiparticles (particles and antiparticles with mass equal to their energy divided by the square of the speed of light), and pairs of particles and antiparticles with opposite charges were annihilated.
It started out symmetrically, but soon (within 10-35 seconds of the Big Bang) the symmetry was broken by a tiny error, and galaxies, stars, planets, and humans, all made of particles as basic units, were able to exist in the universe.
The Higgs particle, the last particle discovered in the Standard Model that provided an answer to the ultimate question of what the world is made of, is also a product of symmetry and symmetry breaking.
The Higgs field, which was symmetrical in the early universe, collapsed as time passed and the universe cooled rapidly, giving mass to other particles (especially the W and Z0 particles, which are currently the mediators of the weak force), and the Higgs boson gained significance.
The universe has been ruled by random forces for 13.7 billion years, causing symmetry to break down, but the fundamental order still remains.
Physical laws such as the law of conservation of energy do not change over time and apply equally throughout the universe, the gravitational force between the sun and planets acts equally in all directions, even a black hole that swallows everything eventually emits radiation energy and disappears completely, time, which flows in only one direction, establishes a relationship of cause and effect, and the genetic material DNA is made up of two helices that seem to intertwine and rotate, so that the traits of parents are passed down intact to their offspring.
Although the laws of nature are symmetrical, the symmetry is obscured by randomness to our eyes, who live in a quantum mechanical universe.
Emmy Noether, a mathematician recognized by Einstein
This book covers all the giants who left their mark on the history of physics, and among them, Emmy Noether is introduced with particular care.
Why is symmetry involved in the physical laws that explain the order of nature, and what does symmetry mean in physics? Noether mathematically elucidated the relationship between symmetry and conserved quantities, providing a clear answer to this profound question.
Noether's theorem is as important a foundation of modern physics as the first commandment of special relativity: "No object can move faster than light."
Noether, who discovered 'Noether's theorem', deserves to be called the second Einstein, but has not been properly evaluated and has been forgotten in obscurity.
In fact, Einstein called her “the greatest mathematical genius since higher education was allowed to women.”
This book is also noteworthy in that it is filled with content that re-evaluates the life and achievements of the ill-fated genius female mathematician Emmy Noether.
Born to a Jewish family in Germany around the same time as Einstein, she dreamed of becoming a mathematician from a young age, but was blocked by the university culture of the time, which was extremely exclusive to women, and lived an unfortunate life.
David Hilbert, the German mathematician famous for 'Hilbert's puzzle', invited Emmy Noether to the University of Göttingen to further study symmetry, but when the university did not treat her properly, he became enraged and compared the university to a bathhouse with separate entrances for men and women.
Noether never received any of the honors bestowed upon the greatest scholars simply because she was a woman, but through her pure passion for learning and persistently delving into symmetry, she discovered 'Noether's theorem', which states that "for every symmetry there is a corresponding invariant."
With this one sentence, the concepts of physics that were scattered like grains of sand were mathematically organized, and modern physics was able to embark on the grand journey of 'unification.'
Symmetry goes beyond the meaning of agreement or reversal, which is commonly thought of as decalcomania or a circle, meaning that the left and right sides are the same around an axis.
In mathematics and science, if an object has the same appearance before and after transformation, it is said to have symmetry.
Phil Anderson, Nobel Prize winner in physics, said:
“To put it a little, a little exaggeratedly, physics is the study of symmetry.
“No more nagging needed.”
Why is the universe not empty, but rather filled with something? Why is the night sky dark? If antimatter exists, could antihumans also exist? Why is there only past, present, and future in time? How did time and space become like butterfly wings?
In his book, The Universe in the Rearview Mirror, physicist Dave Goldberg provides clear and humorous answers to all these questions, focusing on the keyword “symmetry.”
Symmetry is a great concept that has driven revolutionary developments at the foundation of modern physics, from astrophysics on a cosmic scale to particle physics on the scale of subatomic particles, without ever coming to the forefront of physics in the past century.
The book also sheds light on Emmy Noether, a little-known but brilliant female mathematician who laid a solid foundation for modern physics as a master of symmetry.
Antimatter, relativity, the standard model, the double helix of DNA, gravity, and black holes…
The one powerful keyword that penetrates everything: symmetry
“We must never forget that what we see is not nature’s true nature, but what nature reveals to us in response to our way of asking questions.” - Werner Heisenberg
Could there be another "me" in another universe? How did the universe and matter come into being? Pursuing these fundamental questions inevitably leads us to encounter limitations, either too small or too large, as if knowledge is beyond human reach.
Physicist Dave Goldberg's "The Universe in the Rearview Mirror" is a challenging, popular science book that explains the microscopic world invisible to our eyes, as well as the macroscopic world, using the single keyword of "symmetry."
It features an easy-to-understand introduction to what modern physics has to say about what the symmetry of the universe means, what happens when some symmetries are broken, and why everything, including us, exists.
In particular, by depicting the life and achievements of Emmy Noether, a genius female mathematician who was not well known until now, in the context of physics centered on symmetry, it also reminds us why 'Noether's theorem' is the foundation of modern physics.
The author's dazzling writing skills, which skillfully tackle heavy physics topics with a lively wit, are truly admirable.
Perhaps it will be difficult to find another physics book that is so humorous, yet so sophisticated, yet so challenging, yet never boring.
A new talker in the scientific world who can even joke around like Feynman
“Once you get it, you can’t let it go.” - Richard Gott, Professor of Astrophysics, Princeton University
The author guides us into a world reflected in a mirror to show that everything in space and time is formed by hidden symmetry.
The universe in the rearview mirror, where electrons have a positive charge instead of a negative one, the heart beats on the right side of the chest instead of the left, and time flows backwards, is a wondrous and fascinating place.
The universe in the rearview mirror, where matter is turned into antimatter, left and right are reversed, and time is reflected in reverse, is clearly different from the real universe, but on the other hand, it is perfectly symmetrical and appears closer than it appears.
A symmetrical universe is beautiful.
But our universe is all the more beautiful and interesting because some of its symmetry is broken.
The author explains the symmetry that exists or once existed in the universe and the process of symmetry breaking down to the present using easy metaphors and concise logic.
While many popular science books explore the unification of physical laws, this book goes a step further by focusing on fundamental symmetries, thereby revealing the beauty of the universe in a more vivid way.
Moreover, the author's unique lively chatter, brimming with quirky wit, runs wild from the infinite galaxy to the empty particle world, leaving no room for readers to get bored.
The author's humorous yet profound insights, infectious enthusiasm, and fast-paced, exciting pace make physics accessible to everyone.
Why is symmetry important?
From the Big Bang to the Higgs boson, the key to understanding the universe is symmetry and where symmetry breaks down.
The author consistently emphasizes the importance of symmetry throughout this book.
In fact, the beginning of the universe was a period of symmetry and the breakdown of symmetry.
The incredibly hot energy at the beginning of the universe created countless pairs of particles and antiparticles (particles and antiparticles with mass equal to their energy divided by the square of the speed of light), and pairs of particles and antiparticles with opposite charges were annihilated.
It started out symmetrically, but soon (within 10-35 seconds of the Big Bang) the symmetry was broken by a tiny error, and galaxies, stars, planets, and humans, all made of particles as basic units, were able to exist in the universe.
The Higgs particle, the last particle discovered in the Standard Model that provided an answer to the ultimate question of what the world is made of, is also a product of symmetry and symmetry breaking.
The Higgs field, which was symmetrical in the early universe, collapsed as time passed and the universe cooled rapidly, giving mass to other particles (especially the W and Z0 particles, which are currently the mediators of the weak force), and the Higgs boson gained significance.
The universe has been ruled by random forces for 13.7 billion years, causing symmetry to break down, but the fundamental order still remains.
Physical laws such as the law of conservation of energy do not change over time and apply equally throughout the universe, the gravitational force between the sun and planets acts equally in all directions, even a black hole that swallows everything eventually emits radiation energy and disappears completely, time, which flows in only one direction, establishes a relationship of cause and effect, and the genetic material DNA is made up of two helices that seem to intertwine and rotate, so that the traits of parents are passed down intact to their offspring.
Although the laws of nature are symmetrical, the symmetry is obscured by randomness to our eyes, who live in a quantum mechanical universe.
Emmy Noether, a mathematician recognized by Einstein
This book covers all the giants who left their mark on the history of physics, and among them, Emmy Noether is introduced with particular care.
Why is symmetry involved in the physical laws that explain the order of nature, and what does symmetry mean in physics? Noether mathematically elucidated the relationship between symmetry and conserved quantities, providing a clear answer to this profound question.
Noether's theorem is as important a foundation of modern physics as the first commandment of special relativity: "No object can move faster than light."
Noether, who discovered 'Noether's theorem', deserves to be called the second Einstein, but has not been properly evaluated and has been forgotten in obscurity.
In fact, Einstein called her “the greatest mathematical genius since higher education was allowed to women.”
This book is also noteworthy in that it is filled with content that re-evaluates the life and achievements of the ill-fated genius female mathematician Emmy Noether.
Born to a Jewish family in Germany around the same time as Einstein, she dreamed of becoming a mathematician from a young age, but was blocked by the university culture of the time, which was extremely exclusive to women, and lived an unfortunate life.
David Hilbert, the German mathematician famous for 'Hilbert's puzzle', invited Emmy Noether to the University of Göttingen to further study symmetry, but when the university did not treat her properly, he became enraged and compared the university to a bathhouse with separate entrances for men and women.
Noether never received any of the honors bestowed upon the greatest scholars simply because she was a woman, but through her pure passion for learning and persistently delving into symmetry, she discovered 'Noether's theorem', which states that "for every symmetry there is a corresponding invariant."
With this one sentence, the concepts of physics that were scattered like grains of sand were mathematically organized, and modern physics was able to embark on the grand journey of 'unification.'
Symmetry goes beyond the meaning of agreement or reversal, which is commonly thought of as decalcomania or a circle, meaning that the left and right sides are the same around an axis.
In mathematics and science, if an object has the same appearance before and after transformation, it is said to have symmetry.
Phil Anderson, Nobel Prize winner in physics, said:
“To put it a little, a little exaggeratedly, physics is the study of symmetry.
“No more nagging needed.”
GOODS SPECIFICS
- Date of issue: June 5, 2015
- Page count, weight, size: 508 pages | 725g | 153*224*24mm
- ISBN13: 9788956055848
- ISBN10: 895605584X
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