Everything is in Motion

Super fact 131 : There is no absolute reference point. All motion is relative. Since everything is in motion compared to something else, that means that everything is in motion. In addition, all material objects consist of particles that are in motion, and all objects with mass move through time.

A photo of planet Earth from space.
Photo by Pixabay on Pexels.com

I previously made a post on this topic called “Everything is in Motion – Stream of Consciousness”. For a Stream of Consciousness post you are supposed to write whatever comes to mind without editing, except for typos. Stream of Consciousness is a fun concept. However, it is not fit for a super fact post because a super fact post requires fact checking and linking to reputable sources and it needs to be well organized and well explained, and all that is editing. After writing Everything is in Motion – Stream of Consciousness I realized that “Everything is in Motion” is a super fact. It is an important observation and a fact that is far from obvious. With this post I am rewriting “Everything is in Motion – Stream of Consciousness” into a super-fact I call “Everything is in Motion”.

All Motion is Relative

All motion is relative and everything moves in comparison to something else. You may be sitting in your chair completely still thinking that you are not moving but you are. Earth rotates around its axis at 1,040 miles per hour at the equator, and at 733 miles per hour at latitude 45 degrees. Latitude 45 degrees goes through New York and other northern States, as well as Europe. Sitting at the geographic north Pole won’t help you either because Earth is also wobbling and it is rotating around the sun at roughly 67,000 miles per hour or 107,000 kilometers per hour.

Picture shows a man and his dog sitting in front of a computer. Earth and the sun are in the background.
Man thinking he is sitting still drawn with the help of ChatGPT

The picture below shows Earth’s three main orbital cycles. I used this picture in another context for super-fact #122 “Orbital Cycles are not the Cause of the current Global Warming”. In that context I wanted to point out that Earth’s orbital cycles are too slow (100,000 years, 41,000 years, and 26,000 years) to explain the sudden rapid rise in global temperatures that we are witnessing now. The orbital cycles are also currently slowly cooling Earth, not warming it. However, in this context I am using the picture for a different purpose, and that is to point out that even if you sit at the north pole (or anywhere else on Earth) you will be moving.

Three illustrated orbital cycles. On the left orbital eccentricity, in the middle is the axial tilt and on the right axial precession.
Illustration of Milankovitch cycles from MIT’s Climate Primer.

In addition, the sun is rotating around the center of our galaxy, the Milky Way at 514,000 to 560,000 miles per hour or 792,000 to 828,000 kilometer per hour, and our galaxy and the Andromeda galaxy are approaching each other at the speed of 110 kilometers per second, which is 396,000 kilometers per hour, or 246,000 miles per hour. Whether it is the Andromeda galaxy that is approaching us or our galaxy that is approaching the Andromeda galaxy is just a point of view. We are also moving at millions and billions of miles of hour compared to some other galaxies.

Photo of the Andromeda Galaxy
Photo by Pixabay on Pexels.com

You are also Moving Through Time

As mentioned, motion is not absolute. It is always relative to something else. The universe has no center, no ether to compare with, there is no absolute reference point. It is not possible to declare anything as truly standing still. Understanding this is the first step towards understanding the theories of relativity. According to the theories of relativity the speed of light, or the speed of light in vacuum if you will, is a universal constant c = 299,792,458. The speed of light in vacuum is the same for all observers regardless of their speed and the direction in which they are going. In other words, you are moving at the speed of c = 299,792,458 compared to all light.

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.

In addition, c = 299,792,458 is not a speed in a regular sense, but a conversion factor between space and time. All particles/objects without mass (light particles called photons, gluons and gravity waves) must always travel at this speed, whilst all objects that have mass can only travel slower than c = 299,792,458 (compared to other objects with mass).

The E = mc2 formula
Mass is energy and vice versa, a direct result of the way time and space are related. Stock Photo ID: 2163111377 by Aree_S

You could say that compared to the reference frame of my choosing, which happens to be the chair I am sitting in, I am sitting still. I am not sure that would be fair but according to the theories of relativity you are also moving through time at the speed of c = 299,792,458. Well, that is assuming you have mass. For mass-less particles, like photons, time does not exist. Anyway, the fact that you are always moving kind sneaks in, no matter what you try.

An eye with photons streaming into it.
Billions of photons coming into the eye. For them time does not exist. Shutterstock asset id: 2629068895 by muratart.

You could raise a couple of objections to some of the claims in the last paragraphs. Very far away, beyond the limit of the visible Universe, galaxies can move away from us faster than the speed of light. However, they are not moving faster than the speed of light compared to the space where they are. What is going on is that space and time are stretching fast due to the expansion of the Universe.

Another objection might be that light can move slower than c = 299,792,458 through transparent materials such as glass and water. So, how can the claim that all massless particles must always move at exactly the speed of light in vacuum be true? The answer to that is that the light particles (photons) in those materials are being absorbed and re-emitted as new photons by the atoms. However, in between the atoms the photons move exactly at the speed c = 299,792,458, or more correctly at the time-space conversion factor c = 299,792,458.

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.
From ground state to excited state, absorption and emission of a photon in an atom. Shutterstock asset id: 2180385419 by rktz.

All Matter Consist of Molecules and Atoms that move

But wait, we are not done. Another fact is that everything is made of atoms and molecules that are never completely still. Temperature is a measure of their average kinetic energy (energy of motion). Even at the temperature absolute zero molecules and atoms are still moving. Yes, even at the lowest possible temperature they are still moving. It is impossible for atoms and molecules to stand completely still, just like children.

A vibrating protein molecule.
Thermal vibration of a segment of a protein’s alpha helix. Its amplitude increases with temperature. User:Greg_L on English wikipedia, uploaded to commons by User:Frokor, CC BY-SA 3.0 <http://creativecommons.org/licenses/by-sa/3.0/&gt;, via Wikimedia Commons.

Other Super Facts Related to Relative Motion




To see the other Super Facts click here

Everything is in Motion – Stream of Consciousness

Today is the sixth time I participate in Linda Hill’s streams of consciousness. To read about the rules and participate click here. To read my five previous entries click here “Prediction Failures and My Lucky Day from Hell”, or here “The Review Wars on Amazon”, or here, “Reindeer Hide Memories”, or here “25 Sweet Leonberger and Dog Photos”, or here “Bad Travel Memories”. I put this post on my Super-factful blog because it is factual and not related to Leonbergers. “Everything is in Motion” could be a super fact, but a super-fact post requires editing, looking up facts, or verifying facts, and lots of links, so that is for another post. This post is just my musings.

The badge features a twig with rain drops and it says Stream of consciousness Saturday #SoCS
2019-2020 SoCS Badge by Shelley!

Today’s prompt for Stream of Consciousness Saturday September 5, 2026, is “Motion”. Use it anyway you’d like. The first rule is: there should be minimal planning and no editing except typos. I did not edit but I did add a few pictures. I like adding pictures. I just copied the pictures including captions from a few of my other posts.

A photo of planet Earth from space. | Everything is in Motion
Photo by Pixabay on Pexels.com

The first thing that came to my mind for this prompt was that Motion is relative and everything is in Motion. You may be sitting in your chair completely still thinking that you are not moving but you are. Earth rotates around its axis at hundreds or thousands of miles per hour and you follow along wherever you are sitting. Sitting at the geographic north Pole won’t help you because Earth is also wobbling and it is rotating around the sun at more than 60 thousand miles per hour, and the sun is rotating around the center of our galaxy the Milky Way at several hundred thousands miles per hour, and our galaxy is moving compared to the Andromeda galaxy at millions of miles per hour, and it moves billions of miles per hour compared to other galaxies.

Photo of the Andromeda Galaxy
Photo by Pixabay on Pexels.com

Motion is not absolute. It is always relative to something else. The universe has no center, no ether to compare with, there is no absolute reference point. It is not possible to declare anything as truly standing still. Understanding this is the first step towards understanding the theories of relativity.

The E = mc2 formula | Everything is in Motion
Mass is energy and vice versa, a direct result of the way time and space are related. Stock Photo ID: 2163111377 by Aree_S

You could of course say that; well, compared to my reference frame, my room right here, I am sitting still. I am not in motion compared to my chair. So, in that sense it is possible to say that I am not in motion. Well, I am sorry to disappoint you. You are still moving through time at the speed of light. To bring up relativity again, space and time is a four dimensional continuum, and space can be converted into time and vice versa. The conversion factor between space and time is a constant identical to the speed of light in vacuum. Without explaining the details this means that you when you are sitting absolutely still in space, relative to something like your chair, you are still moving through time, in that reference frame, at the speed of light. You see “Everything is in Motion” is an unescapable fact.

Picture shows a man and his dog sitting in front of a computer. Earth and the sun are in the background.
Man thinking he is sitting still drawn with the help of ChatGPT

A related interesting fact is that nothing that has mass can move through space at the speed of light. Everything that has mass must move slower than the speed of light through space. Conversely, particles that do not have mass, such as light particles (called photons), and gluons, must always move through space at the speed of light, and as a result for them time does not move. Actually, for them time does not exist.

An eye with photons streaming into it. | Everything is in Motion
Billions of photons coming into the eye. For them time does not exist. Shutterstock asset id: 2629068895 by muratart.

There are a couple of obvious objections to the last paragraph. Very far away, beyond the limit of the visible Universe, galaxies can move away from us faster than the speed of light. However, they are not moving faster than the speed of light compared to the space where they are. What is going on is that space and time are stretching fast due to the expansion of the Universe.

Another objection is that light can move slower than the speed of light in vacuum through transparent materials such as glass and water, so how can the claim that all massless particles must always move at exactly the speed of light in vacuum be true? The answer to that is that the light particles (photons) in those materials are being absorbed and re-emitted as new photons by the atoms. However, in between the atoms the photons move exactly at the speed of light in vacuum.

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.
From ground state to excited state, absorption and emission of a photon in an atom. Shutterstock asset id: 2180385419 by rktz.

Anyway, the conclusion is, “Everything is in Motion”, through space, and through time.




To see the Super Facts click here

The speed of light is the speed of causality

Superfact 123: The speed of light is the speed of causality, which is the speed corresponding to how fast anything in the Universe can influence anything else in the Universe. That is because the universe, or space-time has a strict maximum speed limit for any action, signal, or information to travel from one place to another. Light just happens to travel at this maximum limit because photons have no mass.

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. | The speed of light is the speed of causality
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.

I am posting about the speed of light again because there are so many aspects of it that are mind blowing. For starters, “The Speed of (Light in Vacuum) Is a Universal Constant”. It is always c = 299,792,458 meters per second for everyone no matter at what speed they are travelling. If you try to catch up to a light beam by going faster and faster the light beam will still keep moving at c = 299,792,458 meters per second faster than you. No matter how much you accelerate you can never catch up. The beam will keep moving away from you at c = 299,792,458 meters per second. This is possible because time and space are relative, at least if viewed separately, like we do.

Clocks being sucked into a hole or possibly sped up into space.
Time is going to be different for me than for you. From shutterstock Illustration ID: 1055076638 by andrey_l

Photons and other massless particles will always move exactly at the speed of light c = 299,792,458 meters per second, whilst anything with mass could never travel at the speed of light. It will always move slower. In fact, when something with mass is approaching the speed of light, its mass will grow towards infinity, and it will require infinite energy to accelerate it to the speed of light. Basically, something with mass can never accelerate to reach the speed of light.

A colorful photon wave packet showing small amplitudes on the left, larger amplitudes in the middle and then small amplitudes on the right. | The speed of light is the speed of causality
A photon wave packet. It has no mass, travel at the maximum speed, the speed of causality, and time does not exist for the photon.

Note: In my first paragraph I wrote (Light in Vacuum) in parenthesis because light always travels at c = 299,792,458 meters per second, but it appears to be going slower in transparent matter. 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.

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.
From ground state to excited state, absorption and emission of a photon in an atom. Shutterstock asset id: 2180385419 by rktz.

As mentioned, the speed of light is a maximum speed limit for any action, signal, or information to travel from one place to another. Einstein’s theory of relativity shows that space and time are linked. The c = 299,792,458 meters per second acts as a conversion factor that binds space and time together. So, in a sense the speed of light is not even a speed in a regular sense, it is a property of time and space.

Scientific visualization of Minkowski light cone diagram demonstrating physics of special relativity theory and spacetime intervals, 3D rendering. 3D Illustration. | The speed of light is the speed of causality
In the light cone diagram above, an observer can only affect what is confined within the future cone above it. Shutterstock asset id: 2728984295 by atdigit

The cone diagram above is a coordinate system with time being the pink arrow going from the bottom and up. The yellow arrows represent the x and y axis representing space. The center is the observer (you).  The past cone below the center represents all the past events that could have affected you (the center). The future cone represents everything that you could possibly affect in the future. All light beams travel on the surface of the future cone. What is outside these cones are parts of the Universe you cannot affect and that cannot affect you. This is the non-observable part of the Universe.

That the speed of light is also the speed of causality, or the maximum speed of cause and effect is an important fact that is mind blowing, and therefore a super fact in my opinion.

Light is Beyond the Reach of Time

Since the speed of light is a conversion factor between time and space and not a speed in a real sense there is more to say about the speed of light that may come as a surprise, for example, that time does not exist for photons. 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 from the perspective of a photon. Time does not exist for a photon (or a gluon, or any other mass-less particle). This is explained in greater detail in my post “Light is Beyond the Reach of Time”.


What About Quantum Entanglement?

What about quantum entanglement? You may have heard about instantaneous action across vast distances due to quantum entanglement. Quantum entanglement is when pairs or groups of particles interact in ways such that the quantum state of each particle cannot be described independently of the others, even when the particles are separated by a vast distance. Therefore, measuring the state of one particle instantly determines the state of the other. Does that not violate the speed of light being the speed of causality? It turns out that it doesn’t.

Entanglement of quantum qubits in superposition, schematic block spheres representation, two particles, one with spin up and one with spin down, measured state, visualization of concepts of quantum computing, vector illustration.
Two entangled particles, one with spin up and one with spin down. If you measure one the other one will manifest the opposite spin across any distance.

It can be understood the following way. Imagine two identical looking shoe boxes, one containing a left white shoe and the other containing a black right shoe. If you were to randomly scramble the two boxes so that you did not know in which box respective shoe was. Then you send one of the boxes to Mars. If you open the shoe box still on earth, you will instantly know the content of the box on Mars. The Martians don’t need to send a message to Earth.

The analogy is not perfect because unlike the shoe boxes the quantum case involves pure randomness. The content of the shoe boxes has been predetermined, and the randomness stem from the fact that we don’t know which box is which. But the shoes are there the whole time before you open any box. This corresponds to what you would call a hidden variable in physics. In the quantum case, the quantum state is not hidden or predetermined, there is no hidden variable, it does not even exist until you measure. It is true randomness. However, it is still similar in the sense that no signal, no message, and no information is being sent, and no message or information need to be sent.

The speed of light is the speed of causality
Two red boxes with a white left shoe and a black right shoe. I used ChatGPT to generate image.

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.

Other Super Facts Related to the Speed of Light




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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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Relativity Visualized by Lewis Carroll Epstein

The goal of this blog is to create a list of what I call super facts. Super facts are important and true facts that are nevertheless highly surprising to many or disputed or misunderstood by many. In a sense this is a myth busting blog regarding important information. However, I also make posts that are not super facts but feature other interesting information, such as this book review and book recommendation.

Relativity Visualized by Lewis Carroll Epstein

Lewis Carroll Epstein <<Link-1>> is a physicist, teacher and author who has written a number of physics books for layman. He is somewhat famous for coming up with ingenious ways of using diagrams, pictures and puzzles to explain complex matters without using mathematics. His approach is unorthodox but, in my opinion, quite successful. You still have to invest time in reading this 200-page long book and solving most of the puzzles to understand what is going on. The book features some math, notably regarding the derivation of the formula for energy-mass equivalency E = mc2. However, it is in a special section for “teachers only”.

It is an old book and the only version currently available on Amazon is the paperback version. The publisher of the paperback is Insight Press; First Edition (January 1, 1985), ASIN : 093521805X, ISBN-13 : 978-0935218053, 206 pages, item weight : 12.8 ounces, dimensions : 6.25 x 0.75 x 9 inches. It costs $48.99 on US Amazon. Click here to order it from Amazon.com.

The front cover features the title “Relativity Visualized” and the author’s name and in the background is the night sky with the milky way. At the bottom of the front cover is a train with a head lamp and a light beam | Relativity Visualized by Lewis Carroll Epstein
Front cover of the paperback version of Relativity Visualized by Lewis Carroll Epstein. Click on the image to go to the Amazon page for the paperback version of the book.

Amazon’s Description of the Relativity Visualized By Lewis Carroll Epstein

Perfect for those interested in physics but who are not physicists or mathematicians, this book makes relativity so simple that a child can understand it. By replacing equations with diagrams, the book allows non-specialist readers to fully understand the concepts in relativity without the slow, painful progress so often associated with a complicated scientific subject. It allows readers not only to know how relativity works, but also to intuitively understand it.

This is my five-star review for Relativity Visualized

Note, I wrote this review in 2016, so it is relatively old, pun intended. In my original Amazon review I used very large paragraphs. I have changed that by breaking up the paragraphs a bit but without changing the content in any way.

Relatively Intuitive

In my opinion the theories of relativity are among the most interesting intellectual achievements in human history. They revolutionized physics and changed the way we think about physics, space, time, mass, energy, electromagnetism and essentially everything in nature. Despite that fact, the theories of relativity are deterministic and possible to visualize, and unlike Quantum Physics they are not statistical in nature and they don’t have a big issue with interpretation.

I’ve been interested in this topic ever since I came across it as a high school student. Therefore, I did not learn a lot about relativity from this book. I was more interested in the approach to explaining it, and I think his approach is a very good one.

I’ve found that an explanation for relativity that lacks rigor and quantitative reasoning creates misconceptions. The reader may end up thinking he understands it when he doesn’t. I’ve also found that books that focus on deriving complex equations were not only unattainable to the layman but sometimes left the mathematically inclined student with a poor understanding of relativity as well.

Lewis Carroll Epstein’s book “Relativity Visualized” seems to succeed in making relativity accessible to both the layman and those who are mathematically inclined. He explains the special theory of relativity and the general theory of relativity using graphs, visual constructs, and logical puzzles that the reader solves for himself. In a sense he allows the reader to develop the theories of relativity on his own. He avoids equations and formulas, but the reader will still discover more exactly what is going on.

One thing that really impressed me with this book is its special focus on the difference between what you see/experience and what you measure. As an example, take two lights that flash at the same time (in your reference frame). They could appear to flash at different times if the distance between them is large. So, you will see them flash at different times. However, if you time the light flashes and take the distance into account you can measure that they flashed at the same time (non-relativistic situation).

In relativity the differences you measure between frames do not only arise from the distance the light travels or from Doppler Effects but also from the relativity of time and space as well, and Epstein explains the details without confusing the reader. He focuses a lot on simultaneity/non-simultaneity right from the very beginning, and in my opinion understanding relativistic non-simultaneity is crucial to understanding what is going on.

The book also discusses the General Theory of Relativity. The General Theory of Relativity is often seen as completely off limits to the layman. It is typically explained using complex tensor calculus, differential geometry, and topology, or alternatively in a non-technical vague way that leaves the reader clueless. General Relativity was born out of an enigma. Special relativity had shown that energy and mass are the same things, so light has mass. A light beam traveling through a gravitational field must thus bend.

However, that means that the side of the light closer to the mass will travel a shorter distance. From known properties of light (always a transverse/orthogonal wave) this means that the side of the light beam closer to the mass moves slower than the outer rim which would violate the constancy of the speed of light in vacuum.

To solve this enigma Einstein had to introduce a time warp in gravitational fields. Later he discovered that this time warp would cause objects to fall towards the masses that caused the time warp and the practical effect of this turned out to be essentially identical to Newton’s theory of gravity and thus the mysterious force of gravity could be removed. Einstein also discovered that there is a warp effect on space which is negligible unless the speed of the objects is large (like magnetism for electric forces). The book helps you visualize all of this without using complex math.

Lewis Carroll Epstein’s book contains unique pedagogic approaches, novel geometric representations of relativity, as well as engaging questions and answers. For this reason, the book is fiercely protected by copyright law. On the negative side, his writing style is somewhat rigid and old fashioned, the drawings and the graphics are sometimes of low quality, and the book might be quite a bit of work for the layman reader, so it requires that you are really interested. However, overall, this is a very rigorous, detailed, correct, and yet entertaining book that I highly recommend.

Good Myths

I also would like to mention another tool that Lewis Carroll Epstein use in his book, and that is the concept of a Good Myth. A Good Myth is a description that isn’t technical and maybe not exact but that isn’t wrong either. In a loose way it captures the truth of what is going on.

An example of one of these myths is that everything, including all of us, is always traveling through time and space at exactly the speed of light in vacuum. In other words, we are all traveling at the speed of c = 299,792,458 meters per second. If we are sitting still, then we are traveling through time at the speed of light. If we are traveling through space at the speed of light then we are not traveling through time at all, like photons, for which time does not exist.

If we are traveling through space at a high speed, then if we add, in a vector way (Pythagoras theorem), our speed in space to our speed in time, they together will add up to the speed of light in vacuum. But that means that we are traveling through time at a speed that is less than the speed of light. So, our clocks will run slower.

The back cover features the title of the book, praise for the book and very brief description | Relativity Visualized by Lewis Carroll Epstein
Back cover of the paperback version of Relativity Visualized by Lewis Carroll Epstein.

Other Posts on Relativity

Below is a list of other posts I made on Relativity

  • The Speed of Light In Vacuum Is a Universal Constant : to see post click here
  • Two events may be simultaneous for some but not for others : to see post click here
  • Time Dilation Goes Both Ways : to see post click here
  • The Pole-Barn Paradox and Solution : to see post click here
  • Book-Review : The Special Theory of Relativity by David Bohm : to see post click here

Do you feel that you are traveling through time at the speed of light?

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