Editing Talk:505: A Bunch of Rocks
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;Weird thing with lines in it | ;Weird thing with lines in it | ||
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probably has something to do with relativity -- two objects moving, arriving at different points at the same time, or maybe a diagram of spacetime. [[Special:Contributions/66.202.132.250|66.202.132.250]] 16:44, 10 June 2013 (UTC) | probably has something to do with relativity -- two objects moving, arriving at different points at the same time, or maybe a diagram of spacetime. [[Special:Contributions/66.202.132.250|66.202.132.250]] 16:44, 10 June 2013 (UTC) | ||
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:The "diagram to the right of the Epitaph of Stevinus", also described as "A weird diagram with lines in it", or "partitioning of phase space into fundamental cells", or " system of coupled pendula, often used in math physics courses to illustrate Lagrangian mechanics", can be described more literally: ''There is are two horizontal rulers with divisions 13 pixels apart and 17 pixels apart, respectively; and diagonal lines showing the correspondence between the first four markings of the upper ruler with those on the lower. The intervals seem to be labeled.'' Returning to speculation, I think this suggests an illustration of '''Length contraction (Lorentz coordinate transformation) in Special Relativity'''. [[User:Mrob27|Mrob27]] ([[User talk:Mrob27|talk]]) 20:22, 28 November 2014 (UTC) | :The "diagram to the right of the Epitaph of Stevinus", also described as "A weird diagram with lines in it", or "partitioning of phase space into fundamental cells", or " system of coupled pendula, often used in math physics courses to illustrate Lagrangian mechanics", can be described more literally: ''There is are two horizontal rulers with divisions 13 pixels apart and 17 pixels apart, respectively; and diagonal lines showing the correspondence between the first four markings of the upper ruler with those on the lower. The intervals seem to be labeled.'' Returning to speculation, I think this suggests an illustration of '''Length contraction (Lorentz coordinate transformation) in Special Relativity'''. [[User:Mrob27|Mrob27]] ([[User talk:Mrob27|talk]]) 20:22, 28 November 2014 (UTC) | ||
:: That seems highly unlikely due to the top labels on this graph. In your explanation they can’t represent anything relevant. Also if this diagram is used to represent spatial contraction, it does not do a good job of it. [[Special:Contributions/108.162.216.209|108.162.216.209]] 13:45, 1 December 2014 (UTC) | :: That seems highly unlikely due to the top labels on this graph. In your explanation they can’t represent anything relevant. Also if this diagram is used to represent spatial contraction, it does not do a good job of it. [[Special:Contributions/108.162.216.209|108.162.216.209]] 13:45, 1 December 2014 (UTC) | ||
− | ::: I imagined the labels were, top row: O', x', (2x)'; bottom row: O, x, 2x, Δv; or perhaps top row: Δx₁', Δx₂', Δx₃'; bottom row Δx₁, Δx₂, Δx₃, 0.7c. I don't think Randall put enough thought into those tiny squiggles for us to be able to use pixel-counting as a hint to which labels interpretation is more likely… but what of it? We can make up labels that fit any interpretation. I did say "Length contraction (Lorentz...)" was just ''speculation''. I do like the "four pendulums coupled by springs" idea | + | ::: I imagined the labels were, top row: O', x', (2x)'; bottom row: O, x, 2x, Δv; or perhaps top row: Δx₁', Δx₂', Δx₃'; bottom row Δx₁, Δx₂, Δx₃, 0.7c. I don't think Randall put enough thought into those tiny squiggles for us to be able to use pixel-counting as a hint to which labels interpretation is more likely… but what of it? We can make up labels that fit any interpretation. I did say "Length contraction (Lorentz...)" was just ''speculation''. I do really like the "four pendulums coupled by springs" idea too - an experiment to demonstrate wave propagation. It might be better just to say "two horizontal ruled lines linked by some diagonals" ! [[User:Mrob27|Mrob27]] ([[User talk:Mrob27|talk]]) 16:57, 1 December 2014 (UTC) |
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:Also, I'd like to point out that all three diagrams unify the theme of "working out the kinks in quantum mechanics and relativity": The first illustrates a region of the bell curve where a particle might occasionally fall if it is about to exhibit quantum tunneling; the second relates to perpetual motion, thus hinting at general questions like "does quantum mechanics or relativity allow us to violate the laws of thermodynamics in any way?", and the third is from special relativity. [[User:Mrob27|Mrob27]] ([[User talk:Mrob27|talk]]) 20:22, 28 November 2014 (UTC) | :Also, I'd like to point out that all three diagrams unify the theme of "working out the kinks in quantum mechanics and relativity": The first illustrates a region of the bell curve where a particle might occasionally fall if it is about to exhibit quantum tunneling; the second relates to perpetual motion, thus hinting at general questions like "does quantum mechanics or relativity allow us to violate the laws of thermodynamics in any way?", and the third is from special relativity. [[User:Mrob27|Mrob27]] ([[User talk:Mrob27|talk]]) 20:22, 28 November 2014 (UTC) | ||
:: Having studied (and knowing the fundamentals about what profile is needed to create a device that performs quantum tunneling) I have never seen this graph as a representation of this, and frankly it makes no sense. If this diagram was an energy band the hole or electron would have no need to tunnel to go up or down the energy band as it is a gradual slope. If a device had a profile like this, it would not result in a significant number of tunneling events, especially at the positions that are marked on the diagram. For this to occur there would need to be a peak between the two points, and the points would need to be at similar heights (energy levels). [[Special:Contributions/108.162.216.209|108.162.216.209]] 13:06, 1 December 2014 (UTC) | :: Having studied (and knowing the fundamentals about what profile is needed to create a device that performs quantum tunneling) I have never seen this graph as a representation of this, and frankly it makes no sense. If this diagram was an energy band the hole or electron would have no need to tunnel to go up or down the energy band as it is a gradual slope. If a device had a profile like this, it would not result in a significant number of tunneling events, especially at the positions that are marked on the diagram. For this to occur there would need to be a peak between the two points, and the points would need to be at similar heights (energy levels). [[Special:Contributions/108.162.216.209|108.162.216.209]] 13:06, 1 December 2014 (UTC) | ||
::: Yes, you're right: all we know is that it's a bell curve (normal distribution), and mentioning "tunneling" might make the reader think we were saying it is a potential function. I was reading a bit much into it. Why are there two vertical dotted lines at roughly +σ and +2σ? I thought they indicated a "range" as if the graph were illustrating some discussion of things that fall within that range. I also incorrectly remembered what the Epitaph of Stevinus was about, so thanks for the corrections :-) [[User:Mrob27|Mrob27]] ([[User talk:Mrob27|talk]]) 16:57, 1 December 2014 (UTC) | ::: Yes, you're right: all we know is that it's a bell curve (normal distribution), and mentioning "tunneling" might make the reader think we were saying it is a potential function. I was reading a bit much into it. Why are there two vertical dotted lines at roughly +σ and +2σ? I thought they indicated a "range" as if the graph were illustrating some discussion of things that fall within that range. I also incorrectly remembered what the Epitaph of Stevinus was about, so thanks for the corrections :-) [[User:Mrob27|Mrob27]] ([[User talk:Mrob27|talk]]) 16:57, 1 December 2014 (UTC) | ||
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The bigger picture that's missing on this explains it that this comic seems to suggest that Cueball is God, as in being stuck in Eternity who happened to build a simulated universe, which we all live in. Seeing how he addresses the reader "So if you see a mote of dust vanish from your vision in a little flash or something I'm sorry. I must have misplaced a rock sometime in the last few billions and billions of millennia." {{[[Special:Contributions/141.101.105.238|141.101.105.238]] 10:25, 12 November 2014 (UTC)}} | The bigger picture that's missing on this explains it that this comic seems to suggest that Cueball is God, as in being stuck in Eternity who happened to build a simulated universe, which we all live in. Seeing how he addresses the reader "So if you see a mote of dust vanish from your vision in a little flash or something I'm sorry. I must have misplaced a rock sometime in the last few billions and billions of millennia." {{[[Special:Contributions/141.101.105.238|141.101.105.238]] 10:25, 12 November 2014 (UTC)}} | ||
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is randall not assuming that his universe (and by implication ours) is finite? if not, one iteration of the machine would still take infinite time. --[[Special:Contributions/141.101.98.201|141.101.98.201]] 12:42, 26 November 2014 (UTC) | is randall not assuming that his universe (and by implication ours) is finite? if not, one iteration of the machine would still take infinite time. --[[Special:Contributions/141.101.98.201|141.101.98.201]] 12:42, 26 November 2014 (UTC) | ||
− | : I think it's good enough to assume that the universe is finite, but really really huge. Hypothesizing that adding one particle to the model requires twice as many cells in | + | : I think it's good enough to assume that the universe is finite, but really really huge. Hypothesizing that adding one particle to the model requires twice as many cells in your cellular automaton, that means that Cueball's cellular automata rows could be about 2^(10^80) cells long, allowing simulation of a physics system containing 10^80 particles. Of course, each planck-time would require 2^(10^80) steps of simulation in the CA. If 10^80 isn't big enough for you, then just make it 10^1000 or Graham's number, or anything finite. [[User:Mrob27|Mrob27]] ([[User talk:Mrob27|talk]]) 16:57, 1 December 2014 (UTC) |
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Did anyone notice that the binary numbers pointing to the particle are both 42? [[Special:Contributions/108.162.241.16|108.162.241.16]] 19:26, 27 November 2014 (UTC) | Did anyone notice that the binary numbers pointing to the particle are both 42? [[Special:Contributions/108.162.241.16|108.162.241.16]] 19:26, 27 November 2014 (UTC) | ||
:I did now. :) But, somewhere, he left out the towel. [[User:Jarod997|Jarod997]] ([[User talk:Jarod997|talk]]) 14:33, 1 December 2014 (UTC) | :I did now. :) But, somewhere, he left out the towel. [[User:Jarod997|Jarod997]] ([[User talk:Jarod997|talk]]) 14:33, 1 December 2014 (UTC) | ||
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