You posted a link to one of my responses to you on that thread. In that specific post there are no answers.
You are the one who brought it up. And if you have no answers, just as you had no answers in the other thread, then we can let it drop.
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Read the entire thread ‘Can the age of the earth be a litmus test for what counts as science’ and you will find all the answers you asked for.
I read and participated in that thread as you well know. And to make sure my memory was correct I just went back and checked. No where in that thread did you address your “sphere of red hot glass with a diameter of 10 cm” example so again there are no answers to my questions there. So all the points I made about why your example is incorrect still stand.
I used a sphere with a diameter of 1 meter.
You keep changing the goal posts and refusing to answer the legitimate questions raised by your claims. In the other thread you referenced your guess as to how long a 1 meter sphere of rock would take to cool down based on how fast a thin sheet of lava cools on the surface. Now you want to talk about a 10 cm sphere of glass.
To be clear: in the thread 'Can the age of the earth be a litmus test for what count as science?’ I used a sphere of red hot rock with a diameter of 1 meter, as a model of our earth ( a sphere of red hot rock with a thin crust). In this thread I used a sphere of red hot glass with a radius of 10 cm. as a model for our earth, because the cooling down of such a sphere can be observed and measured in the workshop of any glass blower. Glass is made of Silicium, and rocks (largely) too.
I haven’t really been following along, but of course glass spheres aren’t being heated by radiogenic heating, don’t have an atmosphere, nor are being heated on the surface by the sun. Radiogenic heating for example would have heated the earth more in the past but in total looks something like this:
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And also to a non-physicist like me, the earth is floating around in a vacuum, sort of like being in the world’s largest thermos bottle. 
The earth is floating around in an extremely cold environment (temperature = 2K). Its cooling down can be simulated by a red hot sphere of glass with a radius of 10 cm, using a scaling factor of 6,37E+07
The fluid rocks underneath the thin crust of our earth (1% of its radius) cannot have been kept fluid for 4,543 billion years by a gigantic nuclear plant inside the earth, because the radiation produced by that plant would have made life impossible for at least the first 3,0 billion years (see the graphic provided by moderator pvaquark).
No it can’t. The earth is floating around in a vacuum. The only way heat escapes is by radiation. Your glass ball loses heat by radiation, convection (ever blow on something to cool it down?), and conduction. You ignore 2 out of 3 so your model is useless. In addition to all of the other problems that I have pointed out.
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And in addition to Williams easily recognizable surface problems here, there may be an even deeper fundamental problem that was probably not accounted for. I have an engineering degree (but not mechanical engineering - so if one of those is around to help me out here…) but you can’t just do some kind of linear (or even cubic - for volume) scale and expect your model to give accurate scaled results can you? I.e. Even if I have a ball that is, say 10^-6 radius of the earth (meaning 10^-18 earth’s volume), it does not follow that it will lose its heat 10^18 (or 10^6) times faster than the earth’s rate of heat loss does it? As I recall there had to be more complicated math involved than simple linear scaling.
Lord Kelvin, who would understand this way better than me, actually did the calculations to figure out how long it would take for a molten earth to cool and he came up with 20 to 400 million years. He was still wrong but I would trust his numbers over those of the other William.
Just off the top of my head as a non engineer, the surface area to volume decreases as the size goes up, with less radiant cooling.
Regarding the “nuclear reactor” beneath our feet, most of it is shielded from us by lots of rock and dirt, such that the only harmful stuff is what we are sitting on. As long as it is not oozing radon gas or you don’t live in a uranium mine, you are OK.
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Righto- this summary of Kelvin’s work and wrong assumptions is nice and to the point:
Once it was discovered that radioactive isotopes are abundant in rocks and that radioactive decay releases tremendous amounts of heat, Kelvin’s assumption of a closed system and dwindling initial heat proved to be demonstrably false (Dalrymple, 37; Hallam, 124; Knopf, 16; Lewis, 47-48). Kelvin’s assumption of a solid Earth and heat transfer only by conduction also proved incorrect; the mantle does flow, and convection is the key method of heat transfer within the Earth (Dalrymple, 37). As Burchfield explains, radioactivity undermined the foundations for virtually all of Kelvin’s dating work (218). Lord Kelvin initially rejected the idea that radioactivity could emit significant heat, but he publicly abandoned this theory at the British Association Meeting of 1904 (Lewis, 55). In a debate two years later, however, it was clear that he never truly accepted radioactivity as the primary source of Earth’s internal heat (55). Accordingly, Kelvin never published a retraction of his overall theory, though he did privately concede to J.J. Thomson that the discovery of radioactivity rendered several of his assumptions unworkable (Hallam, 124).
It appears @WilliamDJ is doing calculations that use similar assumptions to Kelvin which are demonstrably incorrect assumptions to put in to one’s Earth cooling model that do not describe reality at all.
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A sphere of red hot fluid glass cools down in short time in the extreme cold (2K) of the vacuum of the universe, in the light of the sun, and a thin crust of 1% of its radius is formed in a few hours. The only reason to question this, is that you think you need 4,543 billion years for first order change to produce second order change. But that is impossible.
The claim that natural processes can transform simple molecules into an ever growing amount of complex molecules and structures of molecules, is pre-Victorian Alchemist faith. If natural processes could form an ever growing amount of more complex molecules, energy could be harvested for free, and chemical industry would close down. This is absurd. Therefore it is proven that natural processes cannot form an ever growing amount of more complex molecules and structures of molecules.
And please do not come up with bacteria as an example of natural processes, because bacteria are completely automated biochemical nano factories. Bringing them up as proof is circular reasoning.
And that is not a good model to use. Why do you assume the earth was entirely molten in the first place? Why do you assume the scaling factor is simply a linear function of the radius?
Lord Kelvin was opposed to evolution and so his figures are not an attempt to save it. Yet he still came up with 20 to 400 million years for the age of the earth.
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We have had this discussion before. See my posts in the biologos thread ‘Can the age of the earth be a litmus test for what counts as science?’ , and you will find the answer to your question on the linearity of the scaling factor, as well as many more empirical facts that contradict the claim that the earth is 4,543 billion years old.
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Please accept the mathematical fact that changing a system in its parameters cannot produce change in its dimensions: (a1, b1) → (a2, b2) cannot produce (a1, b1) → (a2, b2, c2) . Even if 1000 billions of years would be available, first order change (for instance the variation of the beaks of Darwin finches), cannot be extrapolated to second order change (for instance the transformation of a land animal into a whale).
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See further the 5 conclusions in my post nr. 126
@WilliamDJ Yes we have had this discussion before and you have never presented anything that would support a linear scaling factor. You have simply made it up.
Now since the scaling factor is probably related to the volume of the sphere, bigger takes longer to cool down obviously, I would say the scaling factor should be r cubed. So the scaling factor would be 2.5E23. This gives an age of the earth as 4.9 E18 years. Going with a scaling factor of r squared interesting enough gives an age of the earth as 0.7 billion years which is getting close, order of magnitude, to the correct value.
None of which are correct. This has been pointed out repeatedly but it doesn’t seem to make any difference to you.
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This is not at all a mathematical fact. A function can be mutated such that the dimensionality of its range can change.
I have in fact performed such mutations to inter-system computational interfaces. Thus the dimensionality of the domain is held constant while the dimensionality of the range increases.
There is no constraint in science or mathematics to a mutation in a biological process that would change the dimensionality of a range. Or for a mutation in the dimensionality of a domain. Or both, for that matter.
In spite of the fact that I have actually performed that which you asserted is impossible, based on your past behavior I predict you will continue to insist it is impossible, William. I dare you to prove my prediction wrong!
Blessings,
Chris Falter
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