Light is Beyond the Reach of Time

Superfact 116: Time and space do not exist for light particles (called photons) and not for other particles without mass either. All massless particles travel at the speed c = 299,792,458 meters per second compared to all other objects regardless of how fast those other objects are moving. Objects / particles that have mass will always travel slower than c = 299,792,458 meters per second. The speed of light, c, is not really a speed. It is a conversion factor between space and time. It is therefore a universal constant.

An eye with photons streaming into it. | Light is Beyond the Reach of Time
Billions of photons coming into the eye. Shutterstock asset id: 2629068895 by muratart.

Light does not travel through a medium, like a sound wave, or a water wave does. There is no medium for light to travel in. Photons are massless, which means that an extremely tiny force, an infinitesimal smallest possible force, could send a photon off at infinite speed. There is no mass to hold the photon back.

However, the conversion factor between space and time c = 299,792,458 meters per second will prevent that and the photon will travel at this “speed”. Since c is a conversion factor, a physical constant describing time and space, this is not motion, or movement, in a normal sense. Space and time won’t allow any physical event to have any effect faster, and no information of any kind can travel faster than c = 299,792,458 meters per second.

One of the effects of the speed of light being a universal constant is that different observers measure different distances and time durations, and even the order of events may be in different orders for different observers. As you travel ever closer to the speed of light the time it will take to travel between two points will shrink towards zero as you approach the speed of light. In addition, the distance between the two points will shrink. You can read Albert Einsteins original paper on the topic here, and about space-time here.

This means that from the photon’s perspective there will be no time at all. A photon, or a light beam, will travel from Earth to a distant galaxy a billion light years away in an instant. It will not take a billion years. It will not take one year. It will not take one second. It will not take one microsecond. It will not take a nanosecond, or a picosecond, or a trillionth of a picosecond. It will take zero seconds. The Big Bang and the end of the Universe (if there is one) happen at the same exact moment to a photon. Time does not exist for a photon (or a gluon, or any other mass-less particle).

This is a mind-blowing fact, and it is true and important to our understanding of the Universe. Therefore, I consider it a super fact.

What does the Speed of Light Being a Universal Constant Mean ?

A spaceship on the right is shooting out a laser beam towards the left. Alongside the laser beam are four rockets trying to catch up with the light beam.
Four rockets, A, B, C, and D, are traveling along a light (laser) beam. No matter how fast they travel along the light beam, the light beam will always travel c = 299,792,458 meters per second faster than they do. I generated this picture with the help of ChatGPT.

The first thing to acknowledge about the speed of light (in vacuum) is that it is a universal constant as explained in my post “The Speed of Light in Vacuum Is a Universal Constant”. However, I am explaining this fact slightly differently in the next few paragraphs with the help of the picture above.

In the picture above we are emitting a light beam from our spaceship using our super laser. There are also four rockets that travel along the light beam. The rocket on the lower right (rocket A) travel at 1% of the speed of light v = 2,997,924.5 meters per second (or 2,998 miles per second). That is extremely fast, but much slower than light. You would think that the light beam would travel a little bit slower compared to this rocket at the relative speed c – v = 299,792,458 – 2,997,924.5 = 296,794,533.5 meters per second. But it doesn’t. The light beam is still speeding ahead of rocket A at exactly c = 299,792,458 meters per second.

What happens if you compare the beam with the rocket in the lower left (rocket B)? That rocket travels at 10% the speed of the light beam. Shouldn’t the light beam move 10% slower compared to that rocket? No, the light beam speeds ahead at exactly c = 299,792,458 meters per second compared to rocket B, once again.

Now take rocket C in the upper right corner. It also travels along the light beam but at half the speed of light. Shouldn’t the light beam travel at half of the speed of light compared to rocket C? No, it will stubbornly travel at exactly c = 299,792,458 meters per second compared to rocket C. Not less and not more.

The same is true for the rocket in the upper left, rocket D. It travels at 99.99% of the light speed compared to us in the spaceship, and yet the light beam will stubbornly travel at exactly c = 299,792,458 meters per second compared to rocket D. Not less and not more.

The universal speed c = 299,792,458 meters per second is not so much about light. As mentioned, it is a conversion factor between space and time. You take this conversion factor with you everywhere you go and regardless of how fast you move. That’s the way time and space works.

The fact that the speed of light is a universal constant that is exactly the same for all observers, no matter how fast they move, should tell you that it is not a speed in a normal sense. It is not really a “speed” at all. As mentioned, it is a conversion factor between space and time. Light isn’t really travelling super-fast. It is just conforming to the geometric reality of time and space, and to us it looks like it is travelling at the speed c = 299,792,458 meters per second.

The Space-Time Interval for Light is Zero

I mentioned that from the photons perspective time does not exist but that from our perspective light travel through space or seem to travel through space and that takes time. However, for us space and time are separate things. If you combine them and measure space-time intervals instead you get a more complete picture. In 3D space you get the distance between two points by adding the differences between the coordinates using Pythagoras theorem, s^{2}=x^{2}+y^{2}+z^{2}. (x, y, and z, are differences in the coordinates) As long as you are consistent with the units you will always get the same distance regardless of position and orientation of your coordinate system. You can read more here.

If you add time to Pythagoras theorem you will get the space-time interval, which interestingly enough is the same for all observers. There is no time dilation or length contraction in the interval. s^{2}=x^{2}+y^{2}+z^{2}+(it)^{2} As you might suspect, intervals involving light travelling from one event to another will always be zero for all observers, and not just from the photons perspective. And again, the same applies to all massless particles. Below are the Pythagoras formulas for different versions of the interval. In the top picture it is assumed that the conversion factor c = 299,792,458 meters per second has already been baked into to the time variable and in the bottom it has not. This is not any stranger than converting feet to meters.

The image shows three formulas for the spacetime interval Euclidian: “(s^{2}=x^{2}+y^{2}+z^{2}+(it)^{2}”.  For Time like intervals, the standard form: “(s^{2} = t^{2} – (x^{2}+y^{2}+z^{2}))”. For distance like intervals: “(s^{2} = ((x^{2}+y^{2}+z^{2}) – t^{2}))”. | Light is Beyond the Reach of Time
The three formulas for the spacetime interval above all assume that the unit used for time is the time it takes light in vacuum to travel the distance unit used. If that is meters, it would be the time it takes light to travel one meter. The top formula is the Euclidian form of spacetime. It contains only the ‘+’ operator at the expense of adding the imaginary number (square root of -1) in front of the time coordinate. The second form is typically used with time like intervals and considered the standard form. The third form is used when the distance between two events is larger than the time distance, or distance like intervals.
The image shows the formulas for the spacetime interval with the constant representing the speed of light in vacuum “(s^{2}=x^{2}+y^{2}+z^{2}+(ict)^{2}”,  “s^{2}= (ct)^{2} – (x^{2}+y^{2}+z^{2})” and “(s^{2}=x^{2}+y^{2}+z^{2}-(ct)^{2}”.
If you measure the space coordinates in meters and the time in seconds you must adjust the units to match by inserting the speed of light in vacuum c = 299,792,458. The three forms of the space interval now have the constant c attached to the time coordinate.

What about the speed of light in water ?

It is well known that the speed of light in transparent materials such as water and glass is slower than the speed of light in vacuum. The speed of light it water is about 75% of the speed in vacuum and about 70% or less in glass (depending of the type of glass) compared to the speed in vacuum. In some materials the speed of light can be much less than that. This seems to violate what I said above about the speed of light always moving at c = 299,792,458 meters per second for all observers regardless of their speed.

What is going on is that when light moves through matter it is being absorbed and emitted as it “travels” between the atoms in the material, and this absorption and emittance process takes time. This time is extremely short but long enough to be measurable. As the photons move in between the atoms they travel at the “speed”  c = 299,792,458 meters per second, the time to space conversion factor I’ve been talking about. See the illustration below.

From left to right, an atom absorbs a photon, which excites an electron that jumps into a higher orbit. Then it emits a photon and the electron falls back to the ground state again. | Light is Beyond the Reach of Time
From ground state to excited state, absorption and emission of a photon in an atom. Shutterstock asset id: 2180385419 by rktz.

More about the mass of a Photon

I’ve said photons have no mass. According to Einstein’s theory of special relativity, time does not pass (or effectively “exist”) from the perspective of a massless particle. However, this is the intrinsic mass or so called proper mass or invariant mass. It is the mass of an object as measured by an observer who is completely at rest relative to it. This intrinsic mass is the mass that a photon does not have.

The mass of an electron is 511 Kilo Electron Volts, which is  0.0000000000000000000000000009109 grams. That is the intrinsic mass of the electron. If an electron is sped up to close the speed of light its mass increases and goes toward infinity. If its speed is very close to the speed of light its mass could be much bigger than that of the entire Universe. That’s because as you are increasing the speed of the electron, you are increasing its kinetic energy and as you increase the total energy of the electron you also increase its total mass according to E = mc2.

As the electron’s speed approaches the speed of light the kinetic energy goes toward infinity. That is one reason why it is impossible to travel at exactly the speed of light for anything but massless particles. Infinite energy and infinite mass are not realistic. We, the objects that have mass, can move closer and closer to light speed but never get there.

However, the intrinsic mass for photons is zero and therefore the photon is travelling at exactly the speed of light, c = 299,792,458 meters per second. E = mc2 still applies to light but the mass is not the intrinsic mass, which is zero, but the total mass, and the total mass can pretty much take on any number.

What about Warp Drives ?

So, nothing with mass can travel at the speed of light, and nothing can exceed it. What about the warp drive in Star Trek? As I said, the speed of light is not really a speed but the conversion factor between time and space. It is a geometric fact of space-time. That is a pretty difficult reality to get around, just like it is pretty difficult to push Earth out of its orbit by pushing on the floor. However, there is a way to cheat and that is to stretch space-time itself. This is theoretically possible, but it requires colossal amounts of mass-energy and enormous amounts of negative energy. We don’t even know if negative energy exists on a macroscopic scale.

So, no one knows if a warp drive is possible, and if it isn’t, then we are stuck moving slower than the speed of light, which would make interstellar travel very difficult and inconvenient.

Richard Feyman’s Lecture on Why Light Is NOT Moving Through Space?

The YouTube video below is very long, 48 minutes. However, Richard Feyman, Nobel prize winner in physics, has a knack for explaining extremely abstract concepts so that they are easy to understand. If you are very interested in this topic and have some extra time, this is a fascinating lecture. He certainly explains this topic better than I can.

Other Super Facts Related to the Speed of Light

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Electrons Have Spin Without Spinning

Super fact 97 : Things that spin have an angular momentum and if electrically charged they also generate a magnetic field (magnetic dipole). This is true for electrons and many other elementary particles. However, electrons are not physically spinning. This “spin” is an intrinsic property like electrical charge or mass. In addition, the electron has “Spin 1/2,” meaning you must rotate its wave function 720 degrees (two full circles) to get back to where you started. Moreover, this half spin oddity makes the existence of matter possible.

The picture shows a red ball representing a particle with +1/2 spin and a blue particle with -1/2 spin. The red spinning ball creates a magnetic dipole with the north pointing up and the south down. The spinning blue ball does the opposite. | Electrons Have Spin Without Spinning
The electron behaves as if it were spinning about an axis, thereby generating a magnetic field whose direction depends on the direction of spin. Shutterstock asset id: 1945241416 by Fouad A. Saad.

An electron with spin +1/2 will align parallel with an external magnetic field while an electron with spin -1/2 will align in the opposite direction. The existence of intrinsic spin and the fact that the half spin property requires you to rotate the electron’s wave function twice to get back to where you started is very surprising. Particles with half spin (electrons, protons, positrons, muons, etc.) are called Fermions. It is also surprising that the half spin property makes the existence of matter possible. These true but surprising facts are important, which is why I consider this a super fact.

Angular Momentum and Magnetic Dipoles

On the left the illustration shows a man sitting on a rotating chair with his hands stretched out. In his hands he is holding dumbbells. The right side of the illustration depicts him bringing his hands close to his body resulting in the rotation speeding up. This is an example of the law of conservation of angular momentum.
The law of conservation of angular momentum. Shutterstock asset id: 1669028755 by DKN0049

The picture above gives an example of the law of conservation of angular momentum. Bringing weights closer to the body speeds up the rotation. Another example of the law of conservation of angular momentum is when you try to tip the axis of the rotation. This would be the man tipping over. You can’t do that without applying a force. The electron, and other subatomic particles with spin, display this gyroscopic effect, like a spinning top. As mentioned, charged particles such as the electron, positron or proton, also generate a magnetic field as if they were spinning. However, the strange fact is that despite that electrons and other particles with spin display these spin properties, they aren’t spinning.

Below is an overview of the elementary particles. An elementary particle is a fundamental subatomic building block of the universe that cannot be divided into smaller components. Notice that the proton and the neutron are not listed because they are not fundamental particles. They consist of three quarks. The top number is the mass (0.511 MeV/c2 for an electron). The number below that is the charge (-1 for an electron) and the bottom number is spin (1/2 for an electron). The diagram shows three intrinsic properties per particle.

This is periodic table style map showing the six quarks, six leptons and five bosons. | Electrons Have Spin Without Spinning
Elementary particles of the Standard Model from Wikipedia By Cush – Own work using:PBS NOVA [1], Fermilab, Office of Science, United States Department of Energy, Particle Data Group, Public Domain, https://commons.wikimedia.org/w/index.php?curid=4286964

Electron Orbitals

I should explain something about particles and waves. Subatomic particles are associated with quantum waves. This is quantum mechanics. For example, an electron is in a sense both a particle and a wave, or more correctly neither. However, it exhibits both point like particle characteristics and wave characteristics depending on circumstances. Below is a picture showing the standing quantum waves representing an electron in different orbitals (different states) in a Hydrogen atom.

Hydrogen atoms only have one electron, but that electron can exist in different orbitals (sort of different orbits). A standing wave is a wave that is not spreading out, like the waves going back and forth in a bathtub. You can’t really say that the electron is orbiting the nucleus like a planet. The standing quantum wave, or electron cloud, or orbital are more accurate ways to view it.

The standing quantum waves look like spheres, or ellipses, or drops, all kinds of strange shapes.
Hydrogen electron orbitals, the electron’s charge distribution around the atom’s nucleus, quantum mechanics, Orbital shell, atomic orbital, electron cloud or wave mechanics model. Shutterstock asset id: 2500396483 by Watthana Tirahimonchan.

There is some confusion as to what the standing quantum waves represent. The Copenhagen interpretation says that the electron exists in superposition, or all possible states, until measured. The quantum wave indicates the probability that you will find the electron in a certain place when you measure. The square of the amplitude of the wave is the probability that you will find the electron at that point. When you measure it and find out where the electron is the wave will collapse.

Other interpretations say that the electron is in a specific place, you just don’t know where, but again the square of the amplitude of the wave is the probability that you will find the electron at that point. Yet other interpretations say that the quantum wave is a real physical thing that guides the electron (pilot waves). The so called many-worlds-interpretation say that all possible outcomes of a measurement happens but in an infinite number of parallel universes (multi-verses).

Then some people say that the quantum wave does not exist at all, other than as a probability distribution. It represents what the observer knows about the system, nothing else. If you don’t know where the electron is, then the wave is all over the place. If you measure where it is then the wave collapses. Then we also have the you-don’t-know-what-you-are-talking-about-just-shut-up-and-calculate interpretation. The latter interpretation is focused on using the equations, for example the Schrödinger and Dirac equations, to make predictions and measurements and it ignores what’s behind the scenes. This interpretation is popular in college physics classes.

Whichever interpretation you prefer, the you-must-fully-rotate-the-wave-function-twice-to-get-back-to-start property leads to the Pauli exclusion principle.

The Pauli Exclusion Principle

The Pauli exclusion principle states that two identical fermions (such as electrons) cannot occupy the same quantum state simultaneously. For example, two electrons in the same orbital must have opposite spin +1/2 and -1/2 and you could never add a third electron. This adds structure to the atom and to the nucleus. If you did not have the Pauli exclusion principle everything could just fall into one point, and you could walk through walls. Matter as we know it could not exist. This is why fermions (electrons, muons, positrons, quarks, protons, neutrons, etc.) often are referred to as matter particles and bosons (photons, gluons, etc.) are referred to as radiation.

It turns out that that the Pauli exclusion principle is a direct result of the half spin of fermions, in other words, that you have to rotate the associated wave twice around to get back to the original.

Do you think this is confusing ? Don’t feel bad. Richard Feyman one of the most prominent pioneers of quantum mechanics and Nobel Prize winner in physics said, “I think I can safely say that nobody understands quantum mechanics”.

Other Super Facts Related to Modern Physics




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Human Vision Only Detects a Sliver of the EM Spectrum

Superfact 94: Light is electromagnetic radiation. The electromagnetic spectrum we deal with goes from long wave radiation at a frequency of 0.3 Giga Hertz to gamma rays at 30,000,000,000 Giga Hertz, and far beyond. Light that is visible to humans goes from around 428,000 Giga Hertz to 750,000 Giga Hertz. This is a very thin sliver in the electromagnetic spectrum. In addition, many animals can see beyond the spectrum visible to humans.

Esther’s writing prompt: April 8 : Vision

Click here or here  to join in.

If you consider wavelength instead of frequency, the electromagnetic spectrum goes from gamma rays at a wavelength of 0.00000000001 meters to long waves at a wavelength of 1,000 meters. Visible light has a wavelength of 0.0000004 meters to 0.0000007 meters. Again, human vision corresponds to only a thin sliver of the electromagnetic spectrum.

The picture shows the spectrum visible to humans as a horizontal bar at the top. This spectrum is superimposed on a wider spectrum below as a thin rainbow colored strip. The wider spectrum is also placed horizontally and goes from gamma rays to radio waves. | Human Vision Only Detects a Sliver of the EM Spectrum
The visible color spectrum. Sunlight wavelength and increasing frequency vector infographic illustration. Visible spectrum color range. Rainbow electromagnetic waves. Educational physics line. Shutterstock Asset id: 1933622132 by Shutterstock Asset id: 1933622132 WinWin artlab.
The electromagnetic spectrum is vertical and goes from long waves at the bottom to gamma rays at the top. The spectrum visible to humans is a thin sliver in the middle.
The spectrum visible to humans highlighted on a spectrum going from long waves to gamma rays. Original:  Penubag Vector:  Victor Blacus, CC BY-SA 3.0 <https://creativecommons.org/licenses/by-sa/3.0&gt;, via Wikimedia Commons

It should be noted that the spectra above go from long waves to gamma rays because that’s the range of the spectra we typically deal with. However, the electromagnetic spectrum continues far beyond that.

I consider “Human Vision Only Detects a Sliver of the EM Spectrum” a super fact because it is a well-known fact among those who have studied physics, and it is an important fact, and yet I believe it is a surprise to many.

The Spectrum Visible to Animals

A lot of animals can see beyond the spectrum visible to humans. For example, animals that can see UV light including reindeer, scorpions, butterflies, bees, salmon, hedgehogs, many birds, amphibians, and reptiles. Humans cannot see UV light. You can read about various animals that can see UV light here, here, and here.

It appears that dogs and cats can see UV light as well. The color vision of dogs is in general poor, at least on the red side of the visible spectrum. However, dog vision includes UV light that we cannot see.

There are two colorful horizontal bars in the picture representing how the spectrum appears to people and dogs. The top bar depicts human’s view, and the bottom one is dog’s view. The human’s view is more colorful, but the dog’s view extends into UV light on the left.
Picture is from psychology today.

Many animals can also see or detect infrared radiation. A famous example are snakes. However, many other animals can detect infrared radiation including mosquitos, beetles, and other insects, some bats, bullfrogs, wolves, foxes, and some fish.

My Other Responses to Esther’s Prompts




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The Second Law of Thermodynamics Does Not Contradict Evolution

Super fact 73 : The second law of thermodynamics, or the fact that entropy is always increasing in an isolated system does not contradict evolution. Life is not a closed system. The environment is providing energy, the sun is providing energy, geological forces are providing energy, etc.

A photo of a trilobite fossil. | The Second Law of Thermodynamics Does Not Contradict Evolution
Does physical laws such as the second law of thermodynamics disprove evolution? This is a trilobite fossil. Shutter Stock Photo ID: 1323000239 by Alizada Studios

A lot of people have never heard of the second law of thermodynamics, or entropy and are unaware of the claim that the second law of thermodynamics contradicts evolution. So how can debunking this claim be surprising, and a super fact? The reason is that this is a popular claim among creationists and according to this Gallup poll 40% of Americans believe in creationism. The fact that this popular but false claim is rooted in a very basic misunderstanding of the second law of thermodynamics and what entropy is makes it super fact.

In the past I’ve read many creationist books that make the claim that the second law of thermodynamics contradicts evolution. One of them was Scientific Creationism (1985) by Henry M. Morris (the father of modern creation science), where he stated that the second law of thermodynamics says that everything tends towards disorder, making evolutionary development (ordering) impossible. The Death of Evolution: Restoring Faith and Wonder in a World of Doubt by Jim Nelson Black, another book I read, and which I gave a one star review on Amazon, makes the same claim. I’ve also come across a lot of people making this claim.

The people who make the claim that the Second Law of Thermodynamics contradict evolution typically do not understand the second law of thermodynamics and do not know what entropy is. Despite that fact they see it as a powerful argument against evolution. I’ve even seen it used against highly respected physics professors who “believe in”, well accept the reality of evolution, by people who had no understanding of the second law of thermodynamics. At one point I even believed the claim myself. Then I studied physics, and well, oops, I was forced to admit that I had been bamboozled.

The Second Law of Thermodynamics

The Second Law of Thermodynamics states that the total entropy (disorder) of an isolated system always increases over time. This means that natural processes tend to move from order to disorder (within the isolated system). It should be noted that disorder is a popular but imperfect metaphor for entropy. Entropy is not the same thing as what people think of as disorder. In physics entropy refers to the logarithm of the number of microstates compatible with the system’s measurable macroscopic state. As molecules randomly arrange themselves into new macroscopic states, the number of possible microstates will increase.

It also means that heat will spontaneously flow from hotter to colder objects, but never the reverse. Another thing it means is that mechanical energy can be converted to thermal energy, but never the reverse. It turns out that those seemingly different statements are physically identical.

Second law of thermodynamics. S corresponds to entropy. Ludwig Boltzman’s formula from 1874
Second law of thermodynamics. S corresponds to entropy. Shutter Stock Vector ID: 2342031619 by Sasha701

It is very possible that the entropy of an organism is lower compared to a blob corresponding to all its molecules randomly distributed within a blob. However, that organism did not evolve in isolation inside a hermetically enclosed box without any energy from the outside. Life and evolution operate in an environment full of energy coming from the sun, the Earth, winds, oceans, geological forces, radiation, etc. Evolution does not take place in an isolated system.

It is also important to understand that within an isolated system, pockets of lower entropy can form if they are offset by increased entropy elsewhere within the system. That’s what the word “total” in total entropy means. Crystal formation is an example of creating local pockets of lower entropy (less “disorder”) within a system, but this is always accompanied by a greater increase in entropy in the surroundings. The Universe is an isolated system so the entropy within the Universe should always increase, but again the local pockets of lower entropy that evolution may create are accompanied by a greater increase of entropy elsewhere.

Crystal structure. This is model of a unique arrangement of atoms in a crystal.
Atoms in a crystal. The crystal represents a pocket of lower entropy. As this pocket of lower entropy forms there is equal of greater increase in entropy in the surroundings. What is true for the crystal is true for the molecules in living beings. Neither the formation of crystals nor the evolution of life contradicts the second law of thermodynamics. Asset id: 689181712 by BK_graphic.

Below is a YouTube video explaining how the second law of thermodynamics does not contradict evolution.


Entropy – Arrow of time

An interesting aspect of the second law of thermodynamics is that it makes entropy serve as an arrow of time. In general, the fundamental laws of physics are time reversible. The equations work the same forwards and backward in time. The equations for gravity, electromagnetism, and the strong nuclear force work the same regardless of time’s direction. An example is if you filmed a planet orbiting a star and played it backward, it would still follow the laws of motion the same way.

Throw a bunch of billiard balls on the floor and film them bouncing and hitting each other and the walls. If you then run the film backwards and forwards it would be far from obvious which is forward and which is backwards, except for the fact that the balls will slow down due to friction. However, balls slowing down due to friction is mechanical energy turning into heat, which is an example of the second law of thermodynamics. The fundamental laws of physics are time reversible, but the second law of thermodynamics is a notable exception. Entropy always increases in an isolated system (like the Universe). By measuring entropy, you can distinguish the past from the future, giving time a direction


Another evolution related post is: Evolution is a fact




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The Greatest Intellectual Achievement

The Greatest Intellectual Achievement of the human race is arguably the Standard Model of Elementary Particles. The Standard Model consists of Special Relativity, Quantum Physics, Noether’s theorem and gauge theories, Quantum Electrodynamics, Quantum Chromodynamics, and a framework for all elementary particles, and more. It is a towering achievement of physics that was created by thousands of geniuses over a period of several decades. It is the theory of almost everything.

Despite that fact it is not getting a lot of respect. Everyone is just trying to find something wrong with it. The reason is that as soon as it was created people realized that something was wrong with it. It could not be reconciled with General Relativity. Something was missing. So, finding out what is wrong with it or what is missing has been a top priority for physics for several decades. The book “The Theory of Almost Everything” by Robert Oerter is a very interesting book covering the standard model, its components, its history, and what could be missing. It contains a few formulas but other than that it is mostly readable to laymen.

Book Formats for The Theory of Almost Everything

The Theory of Almost Everything: The Standard Model, the Unsung Triumph of Modern Physics by Robert Oerter comes in three formats. I bought the hardback format.

  • Hardcover –  Pi Press (July 22, 2005), ISBN-10 : 0132366789, ISBN-13 : 978-0132366786, 336 pages, item weight : 1.2 pounds, dimensions : ‎ 6.37 x 1.11 x 9.3 inches, it costs $35.08 on US Amazon. Click here to order it from Amazon.com.
  • Paperback –  Penguin Publishing Group (September 26, 2006), ISBN-10 : 0452287863, ISBN-13 : 978-0452287860, 336 pages, item weight : 10.8 ounces, dimensions : ‎ 5.51 x 0.81 x 8.34 inches, it costs $16.99 on US Amazon. Click here to order it from Amazon.com.
  • Kindle –  Publisher : Plume (September 26, 2006), ASIN : B002LLCHV6, ISBN-13 : 978-1101126745, 348 pages, it costs $6.99 on US Amazon. Click here to order it from Amazon.com.
Front cover of The Theory of Almost Everything: The Standard Model, the Unsung Triumph of Modern Physics by Robert Oerter.
Front cover of The Theory of Almost Everything: The Standard Model, the Unsung Triumph of Modern Physics by Robert Oerter. Click on the image to go to the Amazon page for the hardcover version of the book.

Amazon’s Description of The Theory of Almost Everything

There are two scientific theories that, taken together, explain the entire universe. The first, which describes the force of gravity, is widely known: Einstein’s General Theory of Relativity. But the theory that explains everything else—the Standard Model of Elementary Particles—is virtually unknown among the general public.

In The Theory of Almost Everything, Robert Oerter shows how what were once thought to be separate forces of nature were combined into a single theory by some of the most brilliant minds of the twentieth century. Rich with accessible analogies and lucid prose, The Theory of Almost Everything celebrates a heretofore unsung achievement in human knowledge—and reveals the sublime structure that underlies the world as we know it.

My five-star Amazon review for The Theory of Almost Everything

Below is my full length giant review of The Theory of Almost Everything. Unless you are really interested, I suggest you read the somewhat shorter Amazon version by clicking the link above.

An introduction to the greatest intellectual achievement of the Human Race

The public has to a large extent missed the greatest scientific revolution in the history of the human race because mainstream media has largely ignored this breakthrough, despite the fact that the Nobel Prize committee has been raining Nobel Prizes over it. In the 1970’s a theory that explained, at the deepest level, nearly all of the phenomena that rule our daily lives came into existence. The theory called “The Standard Model of Elementary Particles” is a set of “Relativistic Quantum Field Theories” that explains how elementary particles behave, which elementary particles there are, and why they have the properties they have, for example, isospin, spin, charge, color charge, flavor, even mass, or mass relations in many cases.

The theory explains how all of the fundamental forces in nature work except gravity. The theory describes how the elementary particles interact; decay, how long they are expected to exist, and how they combine into other subatomic particles. The theory uses only 18 adjustable parameters to accomplish all of this.

Bright yellow flashes representing electrons orbiting a center in the atom. | The Greatest Intellectual Achievement
Close up illustration of atomic particle for nuclear energy imagery. From iStock photos.

In the extension the theory thus explains how nucleons and atoms are formed and what properties the atoms will have, and how molecules will form and what properties molecules will have, their chemical reactions, and what elasticity, electric conductivity, heat conductivity, color, hardness, texture, etc. any material will possess. In the extension it explains why mass and matter exist, how the sun and the stars work, and the theory is therefore the ultimate basis of all other science. It also provides a formula, or an equation of almost everything.

Best of all it has been thoroughly verified experimentally, in fact the predictions the theory has made have been confirmed with such stunning accuracy and precision that it could be considered the most successful scientific theory ever. A theory that successfully unites all physics and basically all of human knowledge of the Universe into one single theory has never before existed.

However, “The Standard Model” does not incorporate gravity and the general theory of relativity, and cannot explain dark energy, dark matter and why neutrinos have mass. Therefore, almost as soon as the theory came into existence physicists started looking for the next theory that would finish what the “The Standard Model” did not finish.

Example of such theories are GUT theories, SO(5), SO(10), string theories (abandoned), super string theories, and M-theories. Even though those new theories are extremely interesting they have not been verified or able to predict anything. In comparison with the “Standard Model”; super string theories, grand unified theories, chaos theories, you name it, are essentially nothing, but are still better known. Hopefully this will change in the future, either because the Standard Model gets the respect it deserves, or because a more complete theory can be verified.

About the book

This book explains to the layman what the “Standard Model” is and how it came into existence. The book is by no means a perfect book. I think there are several problems with the book. However, I decided not to take off any star because there are very few books written for science interested non-physicists that explain the “Standard Model of Elementary Particles”. Dr. Oerter deserves five stars just for his decent attempt at doing so. I find Dr. Oerter to be a good writer and popularizer. I don’t think he is as good as Isaac Asimov, or Carl Sagan, but close, and he is writing on a much more complex topic then, for example, Carl Sagan did.

I studied physics as an engineering student, and I could understand most of text (but not every detail regarding everything). However, I believe anyone who is somewhat familiar with science, especially physics and math, can understand most of this book. For me more diagrams and more equations would have helped. For readers without much background in physics more and better diagrams would definitely have helped. Dr. Oerter came close to writing a good book for the layman, but the book was still lacking in certain aspects. In the remainder of the review, I will give a brief synopsis for each chapter and present my opinions and reflections on each chapter. In a sense I have written a short review for every chapter. My intent is to both tell you what the book is about and give my opinions on the different sections of the book.

Chapter 1: The first unifications

In Chapter one Oerter gives an interesting overview of the history of physics. Physics has typically been divided up into many fields. New discoveries have led to either new sub disciplines or the merging of existing sub disciplines (unifications). Nineteenth century physics was divided into many sub disciplines.

Dynamics (the laws of motion)

Thermodynamics (the laws of temperature, heat and energy)

Waves (oscillations in water, air, and solids)

Optics

Electricity

Magnetism

However, because of the atomic hypothesis, thermodynamics and wave mechanics were swallowed up by dynamics. For example, temperature and heat were now explained in terms of atomic and molecular motion. The theory of electromagnetic fields subsumed optics, electricity, and magnetism (light is an electromagnetic wave). All of physics, it seemed, could be explained in terms of particles (atoms) and fields. New discoveries would alter the picture once again and the old field theories had to be abandoned, and the laws of classical mechanics (dynamics) had to be altered.

Finally, the physicists were able to come up with a unified theory that explained almost all of physics and in the extension all of science, the standard model of elementary particles. This chapter was very basic and not difficult to understand. I think his approach to give an overview of physics was both unique and enlightening. His description of how physics and our understanding of the Universe went through periods when our knowledge expanded and gave rise to new fields and due to new discoveries, that led to a deeper understanding resulted in the merging of these fields. So, in summary more knowledge lead to more fields, then deeper understanding united them. This went back and forth a few times. Finally, we have a unified theory of almost everything, the Standard Model (if we exclude the General theory of relativity).

Chapter 2: Einstein’s relativity and Noether’s theorem

Even though the book is a Physics book, I think it is also a book on Philosophy. The way I see it Physics is in a sense both Science and Philosophy, the kind of Philosophy that can be falsified, verified and proven wrong or correct. Let me explain what I mean by telling you about Noether’s theorem. Noether’s theorem states that whenever a theory is invariant under a continuous symmetry, there will be a conserved quantity. As an example of what a continuous symmetry is, is the following: any physical experiment that is performed at a certain time will have the same result if it is performed exactly the same way a certain time later. That seemingly self-evident observation means that Energy is conserved.

Another example is any physical experiment that is performed at a certain place will have the same result if it is performed exactly the same way somewhere else. That seemingly self-evident observation means that momentum is conserved. Let me add that “exactly the same way” really means that! Gravity, other forces, differences in light, or anything else cannot be different in the second experiment. The only thing allowed to be different is the position “x” (if that is our symmetry variable). That is what a continuous symmetry means, changing just one thing, and everything stays the same.

Noether’s theorem has been the guiding principle behind the standard model, and it is used to find conservation laws where symmetries are found, and it is used to find symmetries where conservation laws are found. It is a spontaneous symmetry brake that allows the Higgs Boson to give all other particles their mass (excepting mass less particles). This is the reason that matter and everything in our Universe exists. The Higgs Boson is also called the God particle. So, Noether’s theorem is both very useful in a practical sense and deeply philosophical at the same time. In addition to Noether’s theorem the standard model is built upon the special theory of relativity and a modern formulation of quantum mechanics (Quantum field theory), QED, QCD, as well as some discoveries regarding elementary particles. I can add that Noether’s theorem was formulated by a Jewish woman, Emmily Noether, who could not get a job in academia because she was a woman. This theorem is one of those very important but mostly unknown discoveries, like the invention of paper by the Chinese Tsai Lun.

Oerter does not attempt to explain the special theory of relativity; however, he tries to give the reader an idea of what it is. The problem with his approach is that he gives the reader just enough information to enable the observant reader to come up with the apparent paradoxes within the special theory of relativity, but not enough information to help the reader to easily resolve them. He also confuses the reader by not distinguishing between rest mass and relativistic mass. The observant reader will think that he is contradicting himself. The term relativistic mass is the total mass and the total quantity of energy in a body. The rest-mass is the mass of the body when it is not moving. The formula E = mc^2 is always true, when it refers to relativistic mass, which is why we talk about an energy/mass equivalence. The other more complex formula Oerter presents refers to rest mass. There is no such thing as an energy/rest mass equivalence (except at speed 0) but that is what the reader who is not already familiar with the subject will end up believing.

Another mistake Oerter does is in regard to the fact that the speed of clocks will be measured differently in different reference frames. On page 35 last paragraph Oerter writes “Here, we have an apparent paradox: If each reference frame sees the other as slowed down, whose clock will be ahead when the passengers leave the train?” Then he implies that the paradox has to be solved by incorporating the General theory of relativity. Even though that may be how it was first solved, you can solve this form of the so called “Twin Paradox” and other similar paradoxes from within the framework of the special theory of relativity itself. So even though I enjoyed reading about Nother’s theorem and still think this chapter could use some improvement.

Chapter 3: (The End of the World as we know it) + Chapter 4: (Improbabilities)

Oerter explains Quantum Physics in a very typical manner, and he mostly avoids making it look weirder than it actually is which he should be commended for (that is not true for every author). However, there is one thing that all Physicists seem to do when they explain Quantum Physics to the layman which annoys me greatly. The matter waves (or quantum fields) in Quantum Physics are quite strange entities. The reason they are so strange is because they do not exist in a real sense, they are more correctly stated mathematical abstractions. Oerter states this clearly, which is good.

However, he then goes on to mention De Witts’ idea about multiple Universes without acknowledging that these “bizarre solutions” to various Quantum Wave conundrums are completely unnecessary. So, to some extent he is still making Quantum Physics appear weirder then it is (but I have seen worse). Well, OK, Quantum Physics is weird, but we don’t need to make it seem even weirder.

After giving a background to the special theory of relativity and Quantum Physics, Oerter continues explaining relativistic Quantum Physics including the fantastic prediction you get when you combine the special theory of relativity with Quantum Physics; that for every particle there is a twin particle with exactly the same mass, and spin, but opposite charge and isospin. These particles were called anti-particles and until they were actually found physicists tried to get rid of them from the theory. However, the combination of the special theory of relativity and Quantum Physics would lead not only to much better explanation for such things as the radiation and light spectrum and the properties of atoms, it would also lead to new discoveries. This is what is referred to as Relativistic Quantum Mechanics.

Chapter 5: The Bizarre Reality of QED

Richard Feynman came up with a new representation of relativistic quantum physics for electrons that did not use waves, called Quantum Electro Dynamics (QED). This was one of the first steps towards the standard model. Instead of viewing electrons as particles governed by waves, Feynman viewed electrons as particles guided by fields consisting of all possible paths and their probabilities. He used the two-slit experiment as a guide when formulating the equations for the probabilities of the paths for the electrons (and in the extension may other particles). When he summed up all the possible paths and compared with the old Quantum Mechanics (Wave Mechanics) he got the same answer as Quantum Mechanics in every case. In fact, his new approach was able to explain and calculate phenomena’s like the electrons spin and the fine structure constant that Quantum Mechanics (Wave Mechanics) could not explain properly, and his approach also would prove crucial for the development of Relativistic Quantum Field Theory.

So, in summary, first came Quantum Mechanics, then Relativistic Quantum Mechanics, and then QED and Relativistic Quantum Field Theory. I can add that this chapter also explains Feynman diagrams and an infinity problem that cropped up. The three infinities that cropped up corresponded to the electron’s mass, the photon’s mass, and the electron’s charge. However, the problems with these infinitives were solved using a normalization process that is also explained in this chapter. I can add that I think QED probably seems less strange to laymen then Wave Mechanics because it is easier to visualize the probabilities of possible paths as compared to waves that do not even exist, even though their “amplitude squares” represents something real. This chapter was probably one of the harder chapters to understand (for those who know nothing about QED). This chapter could really have been made better by using many more diagrams and figures. Again, I am not going to knock a star for that because the book is overall so unique and important.

Chapter 6: Feynman Particles, Schwinger Fields

Chapter 6 was a short but interesting chapter. Julian Schwinger took a different approach to QED than Feynman; he sorts of invented a new wave mechanics, in which a quantum field can be pictured as a quantum harmonic oscillator at each point in space. Even though the two approaches used different models Freeman Dyson proved in 1949 that Schwinger’s field theory point of view and Feynman’s sum-over-all-paths approach were in practice identical. However, the two approaches are useful for different things and form the basis of Quantum Field Theory. QED and Quantum Field Theory eliminate the distinction of particle and field and in a sense removed the conundrum of the particle and wave duality. In the nineteenth century light was an electromagnetic wave (well it still is) and in the old Quantum Physics it was both a wave and a particle, however, in Relativistic Quantum Field Theory it is something completely new-a quantum field, neither a particle nor a wave, but an entity with the aspects of both.

Chapter 7: Welcome to the Subatomic Zoo

In this chapter Oerter describes the history of the “strong nuclear force” and the “weak nuclear force” and the subatomic zoo that later emerged. There are four fundamental forces of nature, electromagnetism, gravity, and the “strong nuclear force” and the “weak nuclear force”. The two latter fundamental forces were not known until the 1930’s. The studies of these two new forces led to the predictions and discoveries of new elementary particles. One of these was the pion, however, when the physicists looked for this particle in the cosmic background radiation, they found an elementary particle that was similar to the pion but had the wrong mass.

After some confusion it became clear that it was not a pion but a new never foreseen particle that was named the meson. This was a problem because it was a new entity which the existing physics theories could not explain. However, it got worse. More elementary particles were discovered in the 1940’s 1950’s and the 1960’s. Our Universe turned out to be a lot stranger than people thought, and people started talking about the subatomic zoo. These newly discovered elementary would remain big mysteries until the event of the Standard Model in 1974. This chapter was pretty straight forward and easy to understand. Oerter does an excellent job in making this history interesting and entertaining to the reader and the chapter also contains some humor.

Chapter 8: The Color of Quarks

In the 1960’s physics had become ugly because of the subatomic zoo. Murray Gell-Mann and Yuval Neeman suggested a periodic table for elementary particles (like there is a periodic table for the elements). This periodic table was referred to the eightfold way. The eightfold way was also referred to as the SU(3) theory. It led to the discovery of an elementary particle that was even more fundamental than the known elementary particles, the Quark. It was soon established that there were two kinds of fundamental elementary particles: leptons and Quarks, in addition to the Bosons. Let me explain the details. There are elementary particles with whole number spin, and they are called Boson’s, and there are elementary particles with half number spin called Fermions.

The Pauli Exclusion Principle (that no two particles can occupy the same state) applies to Fermions but not to Bosons and therefore the two different types of particles behave very differently and follow different kinds of statistical rules (Bose-Einstein statistics versus Fermi-Dirac statistics). All force carriers are Boson’s while some Fermions are used to build “normal matter”. Examples of Bosons are the photon, gluons, W and Z Boson, mesons, the Higgs Boson (the God particle). The Fermions come in three families, each with four particles and their anti-particle.

vector illustration of up and down quarks in proton and neutron on white background. The proton (left) is a red and blue up quark and a green down quark. The neutron is a red and green down quark and a blue up-quark. | The Greatest Intellectual Achievement
The proton and neutron each consist of three quarks. Protons consist of two up quarks and one down quark. Neutrons consist of two down quarks and one up quark. Both protons and neutrons have a net white charge. The yellow squiggly lines are gluons transporting color charge between the quarks. Asset id: 2333679305 by KRPD.

Electron / positron

Neutrino / anti-neutrino

Up quark / anti up quark

Down quark / anti down quark

muon / anti-muon

Mu Neutrino / anti-mu-neutrino

Charm quark / anti charm quark

Strange quark / anti strange quark

tau / anti-tau

Tau Neutrino / anti-tau-neutrino

Top quark / anti top quark

Bottom quark / anti bottom quark

The quarks can be used to build other particles, but leptons cannot. For example, a quark and an anti-quark pair form a particle called a meson (there are many kinds of mesons). A triplet of quarks is called a Baryon. An example of a baryon is the proton which consists of two up quarks and one down quark. Another example is the neutron which consists of one up quark and two down quarks. So just like electrons, protons and neutrons build atoms; the quarks build other elementary particles, for example, protons. As mentioned, the six flavors of Quarks are up, down, strange, charm, top and bottom.

However, the Quarks also have colors (well they are not real colors), red, blue and green which sort of correspond to the three kinds of charges for the strong nuclear force. Based on this new model a new Quantum Field Theory called Quantum-Chromodynamics (QCD) was created which together with QED would form the basis of “The Standard Model of Elementary Particles”. This was also a very straight forward chapter that was both interesting and not very difficult to understand. Again, Oerter makes the story interesting and captivating. This is perhaps the most interesting chapter in the book.

To learn more about Protons, Neutrons, Quarks, Gluons, Color Charges, and Quantum Chromodynamics you can watch this 10 minute video below.



Chapter 9: The Weakest Link

Despite the eightfold way, the Quarks, QED and QCD, all was still not well. The Weak Nuclear force was still not fully understood. Martinus Veltman, Steven Weinberg, Abdus Salam, and Sheldon Glashow were the people chiefly responsible for developing a theory for the weak nuclear force. It involved W+, W- and Z0 Bosons and something called spontaneous symmetry breaking.

These theories in turn led to something called the Higgs field and the so called Higgs particle or Higgs Boson (named after Peter Higgs who first introduced the concept of spontaneous symmetry breaking in elementary particle theory). The Higgs particle provided the physics community with a very nice surprise. The Higgs particle gives electrons (and other leptons) and the Quarks their mass. Unexpectedly we thus got an explanation as to why many elementary particles have mass and therefore why matter exists. This is why the Higgs Boson is often referred to as the God particle. It just showed up because of the theories explaining the weak force and turned out to be what created our Universe by giving the elementary particles their mass.

There was just one problem. The Higgs Boson had not yet been found when this book was written. Once the Large Hadron Collider (LHC) came online it became possible to find the Higgs Boson. This final touch to the Standard Model was the one that was the most difficult to grasp. I had a hard time understanding what spontaneous symmetry break really was, and the Mexican hat potential, etc. I think that Oerter needs to look over this chapter and find a different approach to explaining spontaneous symmetry break. I think that Oerter actually sorts of “gave up” at this point. This topic is too abstract for the layman so instead of making a good effort explaining spontaneous symmetry.

What looks like the inside of particle collider with particles flying around. | The Greatest Intellectual Achievement
Collision of Particles in the Abstract Collider. From iStock photos.

Chapter 10: The Standard Model at Last

The standard model is built from relativistic quantum field theory, specifically QED and QCD. In chapter 9 QED was incorporated into electroweak theory which led to the Higgs Boson etc. QED is interwoven together with QCD to create a single theory whose essential elements can be written in a single equation.

Yes, that is right; an equation of everything, or almost everything. This equation is stated on 207 in this chapter. The equation over all equations that there ever was. You should buy this book just to look at it.

The Langrangian function that summarizes all of the propagators and interactions in the standard model.
The Langrangian function that summarizes all of the propagators and interactions in the standard model.

The equation of everything is not as complicated as you may think. It is a Lagrangian function that summarizes all propagators and interactions, and it contains 18 adjustable numerical parameters. I admit that I don’t understand the equation fully, but Oerter explains the parameters and as mentioned it is just a big Lagrange function. As Oerter states “this equation is the simplicity at the bottom of it all, the ultimate source of all complex behavior that we see in the physical world; atoms, molecules, solids, liquids, gases, rocks, plants and animals”.

Oerter also discusses the birth of the Universe in the context of the Standard Model. In my opinion this was a very cool chapter, and Oerter does a good job at exciting the reader in this chapter. Naturally the equation of everything is a little bit difficult to understand and if you don’t know what a differential equation is you can forget about it. However, understanding the equation of everything is not important. The main point of this chapter is that there is such an equation.

Chapter 11: The Edge of Physics, Chapter 12: New Dimensions

As Oerter states in chapter 11 “The standard model is by far the most successful scientific theory ever. Not only have some of its predictions been confirmed to spectacular precision, one part in 10 billion for the electron magnetic moment, but the range of application of the theory is unparalleled. From the behavior of quarks inside the proton to the behavior of galactic magnetic fields, the Standard Model works across the entire range of human experience. Accomplishing this with merely 18 adjustable parameters is an unprecedented accomplishment, making the Standard Model truly a capstone of twentieth-century science.” However, this is not the end of physics. Gravity is explained by the General Theory of Relativity but is not incorporated into the Standard Model.

There is also dark matter and dark energy which is not part of the Standard Model. The neutrinos seem to have mass; however, they are predicted to have no mass in the Standard Model. In addition, it would be nicer to have fewer adjustable parameters than 18. Is there may be a better theory? In chapter 12 Oerter is discussing Grand Unified Theories (GUT), or SO(5) and SO(10) theories as well as super string theories, and M-theories. These are theories that might be able to do everything the Standard Model can do plus what it cannot do. However, none of these theories have ever predicted anything, so unlike the Standard Model they are speculation. There is some controversy regarding these issues, and I think Oerter might have been a tiny bit biased against super string theory here. However, he still explains what super string theory is about pretty well.

Final Conclusion and Recommendation

I highly recommend this book for anyone who wants to understand something about our world and the Universe. However, don’t expect to understand everything, it is not written so that you can. I wish Physicists would become a little better at explaining these matters to the layman using nice descriptive pictures and a little bit of math too (don’t assume math is always bad). I once read a 30 page long Swedish book on the special theory of relativity that successfully explained the kinematics, dynamics, and magnetism in relativity to your average high school kid. The Lorenz transforms, formulas for acceleration, E = mc² and magnetism were derived using simple algebra and a tiny bit of calculus at one point. That is the way these kinds of books should be written, but I have seen this only once in my life. Excluding this single example (the Swedish book), Oerter’s book is one of the best books on Physics for the layman that I have ever read.

Back cover of The Theory of Almost Everything: The Standard Model, the Unsung Triumph of Modern Physics by Robert Oerter.
Back cover of The Theory of Almost Everything: The Standard Model, the Unsung Triumph of Modern Physics by Robert Oerter. Click on the image to go to the Amazon page for the paperback version of the book.

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