For some reason I've never been able to wrap my head around this. Anyone know a good explanation for this stuff?
You are kind of like that car. You (and everything else) are always moving at the speed of light, but through spaceTIME, not through space. When you move through space you are not changing your speed through spacetime, you are only changing your direction. The faster you move through space, the slower you move through time, and vice versa.
If I am an outside observer measuring your position with a very long ruler and your time with my wristwatch, all while watching your dashboard clock, I have access to three numbers. (Your clock, my watch, your position on my long ruler.)
There are three ways to compare these numbers. If I compare my watch to your position down the ruler, I will obtain "classical speed." The behavior of this number is very confusing when it is high.
I may also compare your dashboard clock with my ruler position, or your dashboard clock with my watch. Both of these can lead to a "speed," in the sense of one number changing at a certian rate with respect to another.
If Vx is the rate of change of the ruler position with respect to your dashboard clock, and Vt is the rate of change of my wristwatch with respect to your dashboard clock, and c is the speed of light, then it turns out to be always true that c^2*Vt^2 - Vx^2 = c^2. If you graph this you will see that it is a hyperbola.
In the parent's example, the car situation would obey V(north)^2 + V(south)^2 = 100mph^2. If you graph that it is a circle, as it differs from the above by the minus sign.
There's no explanation "needed". Light photons move at a constant speed from any viewpoint. Its just a fact that is experimentally confirmed.
Perhaps what you need is an experiment that proves this to be true. But those experiments don't offer you any "explanation", they just will prove what you already have been told.
https://en.wikipedia.org/wiki/Relativity_of_simultaneity
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One thing that helped me understand it all is that "Reality" is a wave that propagates out. We call it "the speed of light", but its far more accurate to call it "The speed of reality" or perhaps "The speed of causality".
Basically, when A causes B, that "event" takes time to propagate to other locations. This means that different observers sees the event happen at different times.
For example: the galaxies 3-billion light years away from us appear to be forming today. We know the information is 3-billion years old, but reality itself is warped. Because the reality from 3-billion years ago was 3-billion light years away, its basically happening right now from our point of view (The "wave of reality" is finally reaching us).
Calling it the "speed of light" is confusing for multiple reasons. Just call it the "speed of reality" (and light in a vacuum happens to travel at this speed) and in my eyes, it becomes way easier to understand.
Hand-waving isn't an explanation, it's a distraction.
The Lorenz-Factor(γ) for a velovity approaching c approaches infinity. Thus, from the reference frame of a particle at c, the time dialation: ΔT = γ*Δt, also becomes infinite. 2 ticks on a clock (Δt) of an ordinary observer, take an infinite amout of time in the reference frame (ΔT).
This doesn't prove or explain anything, but the fact that we can't handle infinities very well, in our casual thinking.
Instead you simply have to deal with towers of abstractions, understand the experiments. It is counter-intuitive to claim we also couldn't see photons, but really, the disconnect between theory and phenomenology is rather large. I guess we are only really interested in the weak-electromagnetic force. And that's a probabilistic theory thanks to quantum mechanics. Discrete systems are macroscopic simplifications for didactic and deductive reasons.
Gravity is next to the other three basic forces. That's a simple dualism. So time stands still for the photon, but space bends. And we can't fully explain how.
And don't get me started on infinity. It's just a number big enough for all intents and purposes. Conversely, it's pretty simple to think about the opposite: Nothing. So if you you take an infinite amount of time to observe a clock at light speed from your inertial frame of reference, it will just not move at all -- there are no "2 ticks". Corollary: A photon doesn't experience time at all. And this holds in quantum mechanics, because a photon doesn't exist until observed. A photon is thus the measure of interaction, a delta on our clock. Colloquially, time is the order of events -- if nothing happens, time stands still.
For sake of the argument: If you just switch the photon and observer in your example, the photon in infinite time wouldn't "see" any time pass on the outside observers clock. He wouldn't move. But this is just too simplistic, you have two points in space that practically can't move, because they don't
From the frame of reference of a photon, the environment would
> 2 ticks on a clock (ΔT) at c, take an infinite amout of time in the reference frame of an ordinary observer (Δt).
Extending the thought, you are trying to multiply infinity by infinity. As you said, we cannot handle infinities. I guess that is because there can be only one, one singularity, one universe. That's why the speed of light is set at unit-interval.
I know of no way to make it intuitive though. Things improve slightly if you replace speed with 'rapidity' which places the speed of light at infinity, but then you get that objects with infinite rapidity don't travel instantly from one place to another (although this is true in some frames of reference).
Those concepts are connected by the speed of light in vacuum, yes, but there is no logical reason for that. This was an educated guess, and was confirmed by observation it's not a conclusion.
Einstein started to formulate special relativity theory starting from an assumption that a "ball of light" won't change its shape for non-inertial (no accelerarion) observers regardless of their respective speed. I.e. constant speed of light was the reason not a result of this theory.
(Duh. This got lenghty.)
Time stands still for the photon and is super slow for the particle. Super slow is still infinitely away from 0. In the article example from the particles view, 0.000..1 seconds pass for the photon to be 1cm ahead being the photon is so fast. From our view however that same small time is dilated to the 200k years.
Say a particle and I are moving along like so:
-----[photon @ speed of light]-->
-----[me @ 50% speed of light]-->
-----[other car]-->
-----[my car]-->
That's how I've understood the explanation for relativity. But it must be a very wrong understanding - because that whole idea breaks down when the other car is going along a different vector to me! In this situation:
<----[other car @ 100km/h]--
-----[my car @ 50km/h]-->
This is what allows the photon to appear to continue to travel at the speed of light from the particles frame of reference.
If the particle was carrying a clock, and we could watch it tick as it flew away from us, it would appear to be ticking super slowly, the second hand would take forever to move.
Conversely if we had a giant clock and the particle could watch it as it flew away from us, it would appear to be ticking super fast, it would look as though we were travelling far into the future.
The same is also true if an object is close to a very large gravity well. If someone could stand next to the event horizon of a black hole and hold a giant clock, from our point of view, their clock would appear to tick very slowly. From their point of view, it would tick normally, but our clock would rapidly tick far into the future. The universe around them would quickly travel into the future.
Time and space are elastic to allow the speed of light to remain constant.
Feynman talks interestingly about the nature of these facts:
When Time Breaks Down | Space Time | PBS Digital Studios
At about 4:30 is when they talk about light speed, but you should watch before then to understand what is going on.
Or perhaps it’s better to just say that the concept of reference points hits an asymptote at velocity c, so it simply doesn’t make sense to talk about the reference frame of a photon.
What is interesting from photon's frame of reference is the image of the rest of the world.
Fun fact that I've learned from him during research: humans are exposed to cosmic radiation which is on average equivalent to 10 chest x-rays per year. It would be interesting to look at the impact of this on, e.g. cancer rates among people living at sea level versus cities with high elevation, e.g. Quito in Ecuador.
It always bothered me that science fair projects were “fake science”... nothing new was observed so it wasn’t science at all.
It turns out I was very wrong, and journals that only publish novel positive results and institutions that only reward them are committing a grave scientific error.
If journals start publishing confirmations of previously reported experiments, then students who confirm long reported results will be doing very real science.
Journals could even publish brief (two sentence) articles from students on a back page. I think it would do a lot of good.
It is interesting, and there are some studies exploring this and related issues. The results are not always immediately intuitive!
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4113517/ is one good place to start.
I will remember this fact to cheer myself up next time I am on a misty Scottish mountain top!
We don’t know, and generally speaking it would be unethical to try and find out using humans.
I guess that counts as cosmic radiation.
Some fun facts:
* The flux of particles in this energy regime is so low that you get about 1 per square kilometer per century, so studying them necessitates doing really wild stuff like instrumenting a patch of land the size of Rhode Island.
See: https://en.wikipedia.org/wiki/Pierre_Auger_Observatory
* These particles are so energetic that in their frame the nominally low-energy photons that comprise the cosmic microwave background appear as an impenetrable gamma ray wall thats prevents them from traveling more than about 100 million lightyears. This seems like an incredible distance but in astronomical terms this means that whatever is producing them is "nearby." We also know they don't come from our own galaxy because arrival directions don't correlate to the galactic plane.
* Current consensus says that these particles probably come from very large and active black holes in the center of certain galaxies. These objects are called active galactic nuclei (AGN).
- Would the CMB be so energetic (from the proton's frame) as to create electron-positron pairs?
- If the particle can't travel more than 100m light-years, what happens to it? Does it slow down? Get destroyed? Is the answer markedly different from our reference frame vs the particle's?
To the second question: it loses energy due to pair creation (iirc, surely simplifying due to bad memory).
I also worked in this field (Pierre Auger Observatory in the Karlsruhe group) before I "sold out" to join a tech company in late 2010. Might we have met?
Back to cosmic ray anisotropy. There was actually a big paper from the Pierre Auger collaboration in 2007 on anisotropy that made it to the cover of Science. It correlated arrival directions with a I catalog of, IIRC, AGNs. I was in my first year in the group so I didn't make the author list yet. I was quite disappointed at the time. Pretty much from the moment of publication, however, the statistical significance we got from the data started decreasing until it was no longer something we were particularly confident in. The collaboration had to publish a note on that. Ouch. We never worked out why this was happening (if other than horrible luck) before I left.
Before the publication there had been interesting internal discussions about whether to publish. The astronomers typically felt the significance was plenty by astronomy standards and we were trying to do astronomy with particles after all! The particle physicists tended to want to apply the more conservative thresholds that are common in accelerator physics. After all, what was our detector if not a giant calorimeter? :)
In a nutshell, that'll never happen. You'd have to be the unluckiest astronaut to ever live. These particles reach Earth at a rate less than 1 per century per square kilometer. So you'd have to hang out in space for like a hundred million years...
The original particle never reaches the ground. It gets annihilated in a collision some tens of kilometers up in the atmosphere.
If you were hit, I'm not sure the cascade would do significant damage before it exited your body on the other side.
The cosmic ray hits a molecule in Earth's atmosphere, which causes it to ionize. When it regains electrons, they emit UV light, and the detector catches this while scanning the sky. [1]
[0] https://en.wikipedia.org/wiki/High_Resolution_Fly%27s_Eye_Co...
[1] http://www.telescopearray.org/index.php/history/history-of-t...;
These more "indirect" detectors get a 10x data collection advantage over fluorescence telescopes because they run 24x7 whereas the telescopes run in clear, moonless nights. (The moon in the field of view can actually burn out the camera.)
Source: subject of my thesis was trying to calibrate the energy measurement of the fluorescence telescopes by using models of the air shower profile and relative light yield from fluorescence vs Cherenkov effects to infer a scalar fluorescence light yield parameter.
This particle moved at 99.99999999999999999999951% the speed of light. IIRC from when I worked it out a month ago or so (baseball with that speed), it was in the region of 10^25 J, pretty close the energy the entire sun is outputting each second or a couple million nuclear bombs. (10^25 particles, 4.8 joule per particle)
If only the particle interacted: no. It's too fast to reasonably interact with something as short as going through a human body with any meaningful amount of energy.
Here's something actually interesting >.> but no one care about it.... http://aip.scitation.org/doi/abs/10.1063/1.2423240
and it will never lead to anything
Wikipedia has a section on the practical applications of particle physics: https://en.wikipedia.org/wiki/Particle_physics#Practical_app....
Compare with the Wow! signal[0] for what I mean. I bet something similar happened.
Do we know that it's not any of the particles we already know about? As in, is it a new kind of particle, for sure?
Or is it just an energised photon or something?