Desert Snake
Veteran Member
You should be able to easily prove that in this thread, then.Actually, the aspects she claimed about the shape of the Earth are very well verified.
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You should be able to easily prove that in this thread, then.Actually, the aspects she claimed about the shape of the Earth are very well verified.
You should be able to easily prove that in this thread, then.
I happen to think that the earth is a spheroid, but i cant prove it. It might be objective in a contextual argument.
Ok, it says....From the link
Does Negative Mean Colder?
It is important to note that the negative temperature region, with more of the atoms in the higher allowed energy state, is actually warmer than the positive temperature region...
I do not see why the zpe of the QV can not also be in a state of more or less quiescent, and thus ''warmer' or 'cooler'?Look at post #112. Negative temperatures are defined through statistical mechanics and arise in non-equilibrium situations where there is an inversion in the population of energy states (where higher energy states are populated but lower ones are not). These happen, for example, in lasers.
It turns out that objects at negative temperatures are actually 'hotter' than those at positive temperatures. This happens because of the technical definitions.
Ok, it says....
"Below is an image of the momentum distribution at negative temperatures of the potassium atoms in the optical lattice. The momentum is proportional to the kinetic energy (motion energy) of the atoms, and the peaks show the maximum kinetic energy. The negative temperature states are very stable, and the atoms do not go to lower motional energy states.1
Momentum distribution when the atoms are in the upper levels of their lowest energy band. The peaks correspond to maximum kinetic energy (motion energy).
Image Credit: LMU/MPQ Munich "
So the way I read this is as you said, the red peaks represent the higher energy of the negative energy region, and are thus warmer relative to the lower area. But what is the lower temperature?
How do you interpret this graph in the context of temperature < 0 ?
I was only asking for an explanation of your understanding, I can't say that I fully understand? If you can't clarify, then we will both have to wait for Polymath..You appear to have cherry picked only the first half of the paper which incidentally excludes the actual explanation of results. I'm sure you wouldn't purposely try to mislead people so I'm assuming your extremely important omission was in error.
Ok, it says....
"Below is an image of the momentum distribution at negative temperatures of the potassium atoms in the optical lattice. The momentum is proportional to the kinetic energy (motion energy) of the atoms, and the peaks show the maximum kinetic energy. The negative temperature states are very stable, and the atoms do not go to lower motional energy states.1
Momentum distribution when the atoms are in the upper levels of their lowest energy band. The peaks correspond to maximum kinetic energy (motion energy).
Image Credit: LMU/MPQ Munich "
So the way I read this is as you said, the red peaks represent the higher energy of the negative energy region, and are thus warmer relative to the lower area. But what is the lower temperature?
How do you interpret this graph in the context of temperature < 0 ?
I was only asking for an explanation of your understanding, I can't say that I fully understand? If you can't clarify, then we will both have to wait for Polymath..
Thanks.
No, that is not correct. The picture is of a negative temperature state. That means that the high energy states (red) are occupied instead of having the low energy states (blue) only. This is what is known as an inverted state: usually we expect everything to be at the lowest energy state possible. So, the fact that red appears here is what shows that we have a negative temperature.
Well, entropy is a measure of how many microscopic possibilities there are for a given macroscopic state. So, when half the atoms are in a low energy state and half are in a high energy state, we have maximum entropy.
Next, temperature is essentially (up to a constant) the reciprocal slope of the graph above. So, when the temperature is positive, the slope is upwards as we go to the right (left half of graph) and when the temperature negative, the slope is downwards as we go to the right (right half of the graph). At the top, the slope is zero and the reciprocal is infinite.
Yes, it seems the refrigeration principle of gas expansion producing cooling is related to the negative pressure producing negative temperature of the gas of potassium atoms. (But again I must say it is somewhat confusing to call it negative temperature when it is warmer than positive temperature.) So perhaps it is the negative pressure of the dark energy that sets the quiescent state of non-motion space at zero K.I thought it got easier to understand the more i read of the page. Of particular interest to me was the last section on negative pressure having possible implications in the study of dark energy. But for explanation Polymath is the guy. Over the years I've learned a lot from him.
Thanks.
Still one more thing, referring to the graph, why does it indicate the temperature progressively decreasing below zero K on the right half of the graph?
Yes, it seems the refrigeration principle of gas expansion producing cooling is related to the negative pressure producing negative temperature of the gas of potassium atoms. (But again I must say it is somewhat confusing to call it negative temperature when it is warmer than positive temperature.) So perhaps it is the negative pressure of the dark energy that sets the quiescent state of non-motion space at zero K.
Yes, Polymaths seems to know his stuff as far as present theory permits, and is a patient teacher, but always keep in mind that actual reality is on the other side of the theoretical representation, and like everyone else, he doesn't know what he doesn't know?
But to the right of the center at the top shows temperature reading of < zero K, to the left shows > zero K, why is labeled so if not to be understood as the relative temperature reading from left to right from min to max energy levels?Notice that the graph does not continue in that way. The energy cannot go below the minimum in this situation and so the temperature does NOT continue to the left (or right).
Strange but I begin to understand...thanks...Yes, this is one of the paradoxes of the definition of temperature in statistical mechanics. Again, in the graph, the temperature is the reciprocal of the slope. So, if entropy decreases with increased energy the temperature has to be negative. This case here because there are fewer high energy states than there are states of intermediate energy. So as you pass the half-way point, the temperature, according to the definition, must go negative.
Well, I do try to know what I don't know. In this case, the theory is pretty well hashed out and the correspondence with reality is pretty good. The strangeness mostly comes from the strange way temperature is defined in this area of study.
Another situation where there is an inversion like this (and hence negative temperatures) is in lasers. After they are 'pumped', they have a negative temperature.
I thought it got easier to understand the more i read of the page. Of particular interest to me was the last section on negative pressure having possible implications in the study of dark energy. But for explanation Polymath is the guy. Over the years I've learned a lot from him.
And I have learned from you also. *bows*
would you say this suggests that the more we will be able to explain how things work, the less the need for subjective reality will become?
I'm honestly conflicted here. So our entire experience of reality is subjective. Objective reality is something we have to conceptualize.
Yet it is important to objectively validate what we know. This provides certainty to whatever we claim as truth. If I want to prove something, I have to prove it objectively which basically means I have to show that my understanding of how something works provides consistent repeatable results.
So my experience is still subjective. What makes it objective is showing that subjective experience to be consistent.
Temperature for example. Whether I feel hot or cold is subjective. We can measure it through some mechanical means. What we measure will be consistent. However I can never actually experience that consistency. Sometimes a certain temperature will feel hot to me. Sometimes it will feel cold.
So while we can prove an objective reality though it's consistency. We can only conceptualize it, never directly experience it.
The shape of the earth, we can conceptualize it, never directly experience it.
Objective reality is important because it allows us to progress and validate our knowledge about how things work.
Subjective reality is also important because it is the reality of what we experience. Love, happiness, pain, contentment. These are not objective things. However in someways these subjective things seem more important than what we objectively know. I mean which is really more important? Possessing conceptual knowledge of the shape of the earth or the ability to be happy?
So, do you prefer happiness or truth?