[deleted]
Hi Vasily,
Спасибо за чтение моего эссе, и благодарю вас за оставив комментарий. Это веселая тема для размышлений. :)
Thank you for reading my essay, and thank you for leaving a comment. This is a fun topic to think about. :)
- Shawn
Hi Vasily,
Спасибо за чтение моего эссе, и благодарю вас за оставив комментарий. Это веселая тема для размышлений. :)
Thank you for reading my essay, and thank you for leaving a comment. This is a fun topic to think about. :)
- Shawn
Copy and paste from Google Translate did not work good. :)
Some bets:
- I bet on the chance that an evolved conscious entity did not create or alter life on Earth: I will pay out a nickel if we otherwise find out that life was created or altered.
- Bet on chance that an evolved conscious entity did not create the Universe: two nickels.
- Bet on chance that a Boltzmann brain did not create or altere life on Earth: one nickel.
- Bet on chance that a Boltzmann brain did not create the Universe: one nickel.
- Bet on chance that the many-worlds interpretation is correct: no bet.
- Bet on chance that American Sign Language will never be renamed to something like American Arm-Hand-Finger Meme Language: I will grind up a copy of Jung's Red Book and a copy of the Bible and eat the mixture if this ever does occur.
Induced Gravity in Superfluid 3He
http://arxiv.org/abs/cond-mat/9806010
Grigori very smart person
That's very cool Yuri. I've also heard about acoustic black holes / acoustic Hawking radiatiom.
- Shawn
I recently got into some debates over whether or not there is a distinction between information and data.
The distinction can be seen to be real within the context of graph theory and Huffman coding of very short strings made from very small alphabets.
The relevant comments can be found here and here.
What disturbs me is that I regularly see this kind of confusion coming from professional biologists and physicists. Of course, because I refuse to ignore the abuse of Shannon and Jung's work, I've been called a mathematically-illiterate, naive, religion-tolerant, mentally ill man. Well, so be it... it's still obviously better than being one of those biologists or a physicists, because at least I'm right.
Shawn,
Though you had no way of knowing it up front, you were destined to lose that one. Your views of information are simply different. Consider the exchange:
"I view meaningful information obtained from a physical message as a physical reality that leads to (possible) physical outcomes. [...] by contrast, the "info content" and the "data content" don't seem to lead to physical outcomes."
Unless one is claiming that particles attach "meaning" to information, then one is bringing consciousness into the picture, without of course, defining consciousness. Conscious interpretations provide the 'meaning' for information extracted from data, as I have argued in earlier comments. [I ignore here automated decoding-and-action systems that, in the end, trace to consciousness.]
The bottom line: "...information is physical..." As you noted, a lot of physicists seem to believe this. We can argue until we're blue in the face. I think it's a semi-religious thing based on naive materialism.
The problem: "...subjective experience is the entirely natural way that information is apprehended in the universe. Subjective experience is meaningful information."
Although we all have it, I don't believe 'subjective experience' was defined in that series of exchanges, so how can you argue with "information = undefined thing"? If someone cares to redefine information as "subjective experience" rather than use Claude Shannon's definition, there's no point in arguing. You can't win this one.
But I did find your arguments interesting.
Edwin Eugene Klingman
Hi Edwin,
I'm not debating the fact that information (entropy) is physical.
What's the information content of a single state? S = ln(1) = 0.
What's the information content of a single particle (think pre-relativistic quantum field theory)? S = ln(1) = 0.
What's the data content for either? Not zero.
No one debates this because it's obviously true. As for anyone who fails to recognize the difference between dsta and information content, they surely do not recognize that Shannon's entire theory relies on more than one distinct state (symbol) to produce information. This isn't some limitation of the log function -- it's how it really is. Information can only emerge from multiple, non-repetitive symbols.
Perhaps if you wish to swap "information content" with "ideal information content" and swap "data content" with "manifest information content", I can see your point of view, but in that world there is no room for the word data. I doubt that the people who study data compression would be obliging. They didn't call it "information compression" for good reason.
- Shawn
- Shawn
And for what it's worth, I'm being quite polite. The debate was about dishonesty (not my word), and I'm simply pointing out the dishonesty of those biologists and physicists who clearly did not thoroughly study pseudo-random number generation, graph theory, source coding (data compression, etc. I really have nothing against the people that I am debating with -- I gave them both quite high scores on their essays.
"pre-relativistic quantum field theory"
should have been
"pre-'relativistic quantum field theory'"
New bet:
Against the chance that "data compression" is renamed to "information compression" before "sign language" is renamed to "hand gesture meme language": I will pay $20.00 CDN if data compression is renamed first.
In spite of all that has been written about gravity over the years we still do not really know exactly just what gravity is. When it comes to motion we haven't a clue. Here is somewhat different approach to the subject of gravity.
Einstein, who, more than anyone else gave us our current view of the nature of gravity, said that gravity is not a force and yet in most of contemporary physics gravity is treated as if it were. It appears that the presently held view of gravity is that it does not pull you into the chair in which you are sitting but rather, because of the curvature of space-time, it pushes you into the chair. This is a bit absurd; Gravity is either a force or it isn't, it simply can't be both.
Einstein used the example of a man jumping from a building. The man would feel no force pushing or pulling him. The only way he would know he is moving is by the motion of the building that seems to be moving up and the friction of the wind. While nobody challenges this it seems to be almost universally ignored. The example of the man falling is a good one but gravity can be proved to not be a force by use of a very simple, basic physical law.
Suppose I hold a ball of a given weight stationary in the air. The understanding of vectors tells us that a force equal to the force I am supplying must be pushing down on the ball. Vector analysis also tells us that a resulting vector will appear in a direction opposite the acute angle formed by the two vectors. The acceleration of the resultant vector, if the forces are constant, is dependent upon the sine of the acute angle formed by the two vectors. In the case of my holding the ball the angle formed by my pushing up and the alleged force of gravity pushing down is 180°. The sine of 180° is zero so the resultant vector is zero. It is important to remember that the force and acceleration of both vectors is still very real.
Newton's second law of motion says that Force is equal to Mass times Acceleration - F=ma. If I hold a ball ten times heavier the force I supply must be ten times stronger as well. In order to the stationary position of the ball I must also increase the downward force ten times. Herein lies the problem.
Acceleration is dependent on force and mass. The only way acceleration can be changed is to alter either the force or the mass. We know that acceleration in a gravitational field is a constant. On the earth it is 32 feet per second squared. If the gravity of the earth is a force and created by the curvature of space-time then this force too must be constant. The only thing that is a variable is the mass however, if we change the mass we change either the force or the acceleration. Thus either heavier objects fall more slowly than lighter objects or the acceleration changes as a result of the change in mass. We know empirically that this cannot be true as both force and acceleration are constant. Therefore gravity cannot be a force.
The ball is now ten times heavier and thus the gravitational field (if indeed that is the correct term) is ten times as strong. The curvature of the space-time created by the ball is greater and so, if gravity is a force, the ball is pulling the earth with a stronger force. Actually the acceleration of the earth toward the ball has increased and so the earth is falling toward the ball at a greater velocity. We can see this in Newton's other formula: F = G(m1m2/r2) While this does not exactly hold in GR it is sufficient for this argument. The increase in the apparent attraction of the earth and the ten pound ball is so small as to be virtually immeasurable.
If gravity is not a force why do we feel our weight when sitting in a chair? Consider a situation where two opposing vectors are both forces, such as two cue sticks pushing on a billiard ball at two points in direct opposition.
The change in the position of the ball is zero and we can state that this is the resultant force of the two primary vectors. We have the mass of the cue ball and the force applied by the cue sticks. This means that there is in both cases an acceleration. An object can have any number of independent motions and in this case the ball is moving in two directly opposite directions but the ball is moving. The second law of motion states that force and mass will produce an acceleration. These two opposing accelerations do not 'cancel each other'. They create a vector with zero acceleration. Perhaps it may be more correct to say that they produce no vector.
Since gravity behaves much like a force, we feel our weight in a chair because we are still falling. Just because the chair stops a change in position does not mean we are not still falling. Our feeling of weight comes from momentum. A falling body has a certain momentum even if it does not actually change its position. It is this momentum we feel when sitting in a chair.
Since gravity is not in any way a force it has none of the properties of a force. It does not propagate. It would only propagate if it were a force. Contemporary physics not only thinks of gravity as a force but appears to think of it as an electromagnetic force. Many, many hours have been spent by really brilliant people trying to reconcile the 'force' of gravity with such forces as magnetism. The mass of an atom does not create the curvature of space-time any more than the nucleus creates the electron. The curvature is an integral part of the atom that was created when the atom was created. It cannot be modified nor removed.
Newton, when he worked out his gravitation theories, was concerned with action at a distance. Even though gravity is ubiquitous through the universe there is no action at a distance because there is no action. Gravity does not do anything, it simply is. It is not one of the elementary forces as it is not a force. There is no need for energy mediating bosons to mediate the force ergo, thus there is no graviton. I seriously doubt that the Large Hadron Collider will find any evidence of a massless, spin-2 boson.
It has been said that if the sun were to suddenly disappear we would not be aware of it for eight and a half minutes. That is true but has nothing to with the curvature of space-time and thus gravity. If the sun were to disappear instantly the curvature would disappear instantly as well. We would not sense this in any way, since the path of earth around the sun is a geodesic nothing would have changed; we would still be traveling in a straight line. Eight and a half minutes later everything would become instantly dark and start to quickly become very cold. That we would certainly sense and then we would know that the sun had disappeared.
The extent of a gravitational field appears to be limitless. It diminishes as described by the inverse square law but never completely disappears. Thus the entire universe is one large structure formed of a myriad of space-time curvatures.
Finally; since gravity is not a force why it is considered along with magnetism, the strong nuclear force and the weak nuclear force to be one of the primary force interactions of physical reality? Gravity is not a force, it is a condition.
If indeed gravity is not a force, are we correct is thinking that gravity functions at the quantum level? Does an elementary particle warp the space-time or is the concept of space even valid at the quantum level. It seems quite possible that gravity at quantum level may be a mathematical concept that would only be valid if gravity is a force.
It is intersting Mr Wagner,
You know, all spheres turn .The force of gravitation exists,it is evident.
They turn so they are Mr Wagner.in fact the gravitation is proportional with the rotations of spheres.Furthermore the system can be fractalized towards the quantum scale cosidering a cosmological sphere for example. It quantification is correlated.
ps the light and mass turn in opposite sense....see the comportment of the gravitation with the volumes of spheres, their finite serie and the finite number, the rotations spinal, the rot.orbital,the motion linear(hv)..... the evidence appears.:)
Regards
Hi Thomas,
First off, I'd like to say that I liked your essay a lot. I absolutely love music, but I did not know a single technical thing about it. I believe that I've learned a lot from the essay.
Secondly, I'm not entirely sure where you're coming from with the sine calculation that you're talking about. Could you elaborate further? Usually when I "do" Newtonian gravity, I do something like
- Get the vector pointing from my position to the gravitational source position:
[math]\vec{D} = P_{\textrm{src}} - P_{\textrm{me}}[/math]
- Get the distance:
[math]r = length(\vec{D})[/math]
- Normalize D (this step can be avoided if you really must, but should be compensated for later):
[math]\hat{D} = \vec{D}/r[/math]
- Calculate the acceleration vector from the source mass M (divide by r^3 if you don't pre-normalize D):
[math]\vec{A} = \hat{D} GM/r^2[/math]
And then I just add the acceleration vector to my velocity vector. It's kind of sloppy, but it works.
As for what gravity really is... Yeah, I have no idea for sure, but I have read on the web somewhere that the shrinking of the orbits of binary stars over time is due to gravitational radiation, and that the rate at which the orbits shrink is definitely affected by the speed at which the gravitational radiation propagates. Here's the link: http://en.wikipedia.org/wiki/Speed_of_gravity#Possible_experimental_measurements
Likewise, according to this theory, if the Sun were to vanish then this would lead to a change in the metric of spacetime, and this change would propagate at whatever speed the gravitational radiation travels at because it's all effectively the same thing (a metric that is not constant in time).
Whether you buy into that is up to you, but most people are satisfied by it.
In any case, some people think that it's possible that gravity emerges from the electromagnetic/weak/strong interactions (ie. Sakharov, Jacobson, Verlinde), and so gravity is not a force per se. I like that idea, mostly because it simplifies the big picture. I'm not sure about the idea's validity though (I'm not an expert in anything, really).
Once again, thanks for sharing your essay. It's quite great.
- Shawn
Jedi,
Your powers are no match for the dark side. Just kidding. I've just wanted to say that for a while now. :)
- Shawn
Some links about entropy (information) in physics:
http://ls.poly.edu/~jbain/physinfocomp/lectures/03.BoltzGibbsShannon.pdf
">http://galileo.phys.virginia.edu/classes/752.mf1i.spring03/DensityMatrix.htm
](https://galileo.phys.virginia.edu/classes/752.mf1i.spring03/DensityMatrix.htm
">http://www.cs.berkeley.edu/~vazirani/s07quantum/notes/qinfo.pdf
](https://www.cs.berkeley.edu/~vazirani/s07quantum/notes/qinfo.pdf
From what I have read, the calculation of the von Neumann entropy essentially boils down to an equation that is of the same form as the ones in the theory given by Boltzmann/Gibbs/Shannon. Also from what I've read, a mixed state consists of many distinct pure states, and the probabilities of those distinct pure states are used to calculate the entropy. If the probabilities are entirely balanced, then it's referred to as a "maximally mixed state", in which case the entropy is just S = ln(number of distinct pure states in the mixed state).
My language may be sloppy, but I am not in any way trying to say that ALL physicists and ALL biologists are wrong. I'm saying that the ones that are wrong are the ones who do not recognize that the Shannon entropy and von Neumann entropy are effectively measuring the same thing -- probabilities of distinct states. Whether a state is defined by spin, charge, etc or by a fixed size block code (ie. ASCII), or by a variable-bit Huffman code, or whatever. A distinct state is a distinct state is a distinct state.
So, it stands to reason that the entropy of a single pure state, as a whole, alone, is S = ln(1) = 0.
This is just like how the letter-state 'a' all by itself has an entropy of S = ln(1) = 0.
Entropy emerges only when there are multiple, distinct states under consideration.
How informative would English be if it only had one letter? Not informative at all -- it would tell you that the person you're communicating with is there, making sounds or scribbles on paper, but that's about it.
We were talking about how the universe is or is not like a computer, and I had mentioned 't Hooft's model of a black hole from his paper Dimensional Reduction in Quantum Gravity. I have no idea if it's a correct model or not, but it does illustrate a good point about the higher orders of entropy.
Essentially, the black hole's event horizon is made up of N spin-like Boolean degrees of freedom (bits), where N is related to the number of distinct microscopic states by N = ln(number of distinct states)/ln(2). Barring some topology differences, this means that the black hole's event horizon is effectively the same thing as an N-bit integer, which also has 2^N distinct states. Of course, the probabilities of the distinct states in both the black hole model and the integer model are assumed to be all the same -- 1/(2^N) -- which is why the calculation of N is so simple (no summing required, the answer is already known).
To be clear: The measure N is the first order entropy (in binary units). In the black hole model it's the von Neumann entropy, in the integer model it's the Shannon entropy. They're effectively measuring the same thing -- the logarithm of the number of distinct equiprobable states.
This is not the end of the story though, because 't Hooft continues on in his paper to describe the beginnings of a cellular automaton rule that would govern the evolution from state to state. He also uses the word data a whole lot. Bonus.
What does his assumption of the requirement of a cellular automaton rule immediately tell me, without even looking into the technical details of it? It tells me that he assumes that the higher orders of entropy are likely NOT maximal. Look at it from the opposite point of view: If the evolution from one state to the next was entirely random at all orders, then all possible combinations of time-adjacent states (pairs, triples, etc) would have equal probability, and so the entropy would be maximal for all orders. This kind of randomness is the definitive anti-rule, and so you would not actually need a cellular automaton rule for it to occur -- for each bit you could simply ignore all of the neighbouring bits (again, neighbours depending on the topology) and just randomly flip the bit. That's the definitive anti-cellular automaton, in which case you entirely ignore the neighbours.
It seems to me that determinism in this model would be indicated by less-than maximal entropy for some or all of the higher orders of entropy. I don't think he states it quite like that, but it seems to be true.
Of course, entropy is information.
Surely I am not the first to try this line of reasoning in order to illustrate the general importance of the second and higher order entropy. I just am not aware of it because I do not read every single paper that comes out, and I would love to read about it if someone has shown the reasoning to be true or false. This kind of thing is used very often to analyze English, where each state is a distinct letter from an alphabet, so it's not like it's an alien thought.
Needless to say, when I read a sentence such as that from http://cfpm.org/jom-emit/1998/vol2/wilkins_js.html :
... "Memes are those units of transmitted information that are subject to selection biases at a given level of hierarchical organization of culture. Unlike genes, they are not instantiated in any exclusive kind of physical array or system, although at base they happen to be stored in and expressed from neurological structures."
I come to realize that people are confusing data with information. A meme (symbol/sign) is a unit of data, not a unit of information. The information arises only in the context of multiple memes, their probabilities of occurring, their probabilities of being time-adjacent, etc.
Perhaps I'm misreading the intent of the author, but as soon as I hear unit of information, I have to wonder...