Beauty

bogosort

Joined Sep 24, 2011
696
She's selling a book, I understand that but she wouldn't be writing that book and have a high level of support if it was just a trivial disagreement about research interests.
By most measures, I think it's fair to say that publishing a a pop-sci book is easier than doing actual physics and publishing it in refereed journals. It doesn't hurt that it's a provocative subject with populist appeal (math sucks, yeah!). Now, I'm not cynical enough to say that it was her primary motivation -- I'm sure she sincerely believes that theoretical physics is lost in the math -- but I'm also not moved by the fact that she wrote a book about it. People write all kinds of books for all kinds of motives.

I don't have a problem hyper-abstract mathematics because it's usually a means to the end of actually simplifying a complicated problem into a simpler but still complex solution. I just think we've theorized far beyond what can argued is a extrapolation of data and informed speculation from the SUSY string theorist. Just like with computer programming some abstractions eventually include so many levels of indirection in the application framework they become disconnected from the low-level details of how the hardware actually works and the limitations of current hardware.
Your computer analogy is thought provoking. A computer is fundamentally an electronic machine, just a complicated set of switching transistors, but to make it useful we layer abstraction over abstraction on it. In this case, the abstraction divorces the software from the hardware, as it were. If mathematical abstraction in physics is the same process, then I can see why you'd be clamoring about it.

There's a problem with the analogy, though. With computers, we have two ways of looking at it: from the high-level abstracted view, or from the low-level hardware view. We can always switch between them, and we can always describe ideas in one level with ideas in another. There is a natural isomorphism between the levels. But what are our choices in physics? We have the abstract mathematical level, and . . .?

F = ma is as surely abstracted as U(1) x SU(2) x SU(3) gauge theory; the math just happens to be less familiar in the second one. There doesn't seem to be any alternative way of doing physics. We want to express the phenomena of experience in a generalized form; we want to extract the physical processes themselves from the particular things involved in them. When I throw a baseball to my daughter and when I launch a rocket to the moon, the two processes are the same and we want some way to capture that. Math gives us that by abstracting away the details. In doing so it leaves us with the very thing we actually care about, the physical process, distilled from particular notions of balls or rockets.

So, I think the math-physics abstraction is fundamentally different from the software-hardware abstraction. Abstraction in computing indeed takes us further away from the thing in itself, the switching transistors. Abstraction in physics, however, takes us closer to the thing in itself, closer to the raw dynamics of the universe.
 

bogosort

Joined Sep 24, 2011
696
Unfortunately, I lent that book a while ago ... and I'll be damned if I remember who I lent it to... :(
Fortunately the book has a decent index and, following the physics entries, I was able to find the relevant passages. Turns out you have a better memory than I. :)

Before he switched to mathematics, Godel was a physics major in the first couple of years of his undergraduate studies. Apparently his interest in physics was somewhat rekindled by his friendship with Einstein, and -- for Albert's 70th birthday -- Godel derived a novel solution to Einstein's field equations of GR. Supposedly the closed spacetime loops of Godel's solution disturbed Einstein a bit, but Godel thought there might be something to them, and even went so far as to seek John Wheeler and Kip Thorne (of LIGO fame) to query them about preferred rotations of galaxies.

Still wouldn't call him a physicists, though. ;)
 

cmartinez

Joined Jan 17, 2007
8,759
Still wouldn't call him a physicists, though. ;)
yeah, you're right ... but I'm sure he knew more about physics than the whole of us put together ... ;) ... as a side note, unlike most of his peers (i.e. G. H. Hardy) he liked to apply mathematics to the real world, and also to things laying almost outside the field altogether ... such as his work into a reasoning to God's existence (and this coming from the greatest mathematical logician since Aristotle ... I think he ought to be taken seriously) , but I wouldn't call him a theologist either ...
 

MrAl

Joined Jun 17, 2014
13,702
Hello again,

When i look around the web what i see is the people who dont like math want a different physics.

Math is an exquisite form of logic that allows us to describe things in exact ways that gives us a basis for a starting point when it comes to finding modifications and thus improvements, but in many cases it's so good already that we dont have to do that, and many 'formulas' are so simple that we have to think that the universe is a simple place just made a little more complicated then we would like.

But, let's take and go with that desire to rewrite physics in terms with no math. We'd have to take every formula and produce countless experiments to be able ot convey the same information because many of those formulas are so general they encompass thousands of experiments rolled into one that can be reproduced in a heartbeat by anyone with the math background to do so.

I dont think we could even count the number of books in a library it would take to be able to spell out every single experiment that would have to be thought up and logged in order to convey the information in all the current theories in physics, but let me start this process with the first line in the first book:

"You put the lime in the coconut, mix it all up."

That's the first line of maybe a trillion trillion lines needed, so OK someone else can take it from there.
Maybe this would be better as a pdf file :)

Another way of looking at this is that a formula conveys a lot of information because it speaks volumes about physical reality. To do that without the formulas would take up too much time and space.

There are actual times when formulas dont exactly work, and that leads to countless records of history that has to be read over and studied in order to understand the basic concepts being conveyed. This is a long and arduous process. So instead of having to learn one 'language' (math) you have to learn a new language every time you embark on a quest for knowledge of something new to you.
 
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Thread Starter

nsaspook

Joined Aug 27, 2009
16,321
No sane person wants to rewrite physics in terms with no math. What's needed is a way to validate that math discoveries are actually scientific and based on provable physics. The rigid 'simple' “beautiful” versions of the string hypothesis framework unification idea disagree with current low-energy supersymmetry LHC experimental data for some basic reasons. The result of that is much more complicated versions that can have 10^ a large number of zeros versions (where our universe is just one of the 0.0000000000000000000000001% of the “lucky” ones with working physics) of operational parameters are being developed that can be fine-tuned to the point they become a untestable framework for physical theories at higher particle accelerator energy and don't solve the original problems. https://en.wikipedia.org/wiki/Little_hierarchy_problem
Poor SUSY is broken at lower scales, how do they fix it?

Undetectable Dark Energy.
Undetectable Dark Matter.
Undetectable Parallel Universes.
Undetectable Alternate Dimensions.
Undetectable Inflatons.


 

bogosort

Joined Sep 24, 2011
696
What's needed is a way to validate that math discoveries are actually scientific and based on provable physics.
Validation comes from experiments; there's no other means. In fundamental physics, experiments get funding based on theories. Stopping theoretical research -- even those silly string theorists -- doesn't achieve anything useful.
 

MrAl

Joined Jun 17, 2014
13,702
No sane person wants to rewrite physics in terms with no math. What's needed is a way to validate that math discoveries are actually scientific and based on provable physics. The rigid 'simple' “beautiful” versions of the string hypothesis framework unification idea disagree with current low-energy supersymmetry LHC experimental data for some basic reasons. The result of that is much more complicated versions that can have 10^ a large number of zeros versions (where our universe is just one of the 0.0000000000000000000000001% of the “lucky” ones with working physics) of operational parameters are being developed that can be fine-tuned to the point they become a untestable framework for physical theories at higher particle accelerator energy and don't solve the original problems. https://en.wikipedia.org/wiki/Little_hierarchy_problem
Poor SUSY is broken at lower scales, how do they fix it?

Undetectable Dark Energy.
Undetectable Dark Matter.
Undetectable Parallel Universes.
Undetectable Alternate Dimensions.
Undetectable Inflatons.
Hi,

You are being too absolute about this in my opinion. You want exact and prefect answers right this minute.
It takes time and thought and you just have to wait for that. May it be that it is never actually done? You nor I can answer that as of Friday, August 3rd at 2:37pm in the Eastern USA. We might be able to do that tomorrow though, or it may take longer. No way to know for sure either way right now.

I believe that not every question is answerable, in theory. In the practical we may get so close to the right answer that it does not matter if we get any closer for all practical purposes.

The way i always like to say this is:
"We have not yet imagined all that we need to imagine in order to be able to imagine all that is imaginable".
 
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Thread Starter

nsaspook

Joined Aug 27, 2009
16,321
Validation comes from experiments; there's no other means. In fundamental physics, experiments get funding based on theories. Stopping theoretical research -- even those silly string theorists -- doesn't achieve anything useful.
I can't see where I or anyone else wants to stop the research or virtual “experiments” of theoretical research. The extra dimensional mathematics explored in search of possible string, multiverse theories has important uses outside the field of physics in things like neural-network AI pattern recognition algorithms and other real world future applications as the research evolves.

https://www.scientificamerican.com/...-may-create-far-fewer-universes-than-thought/
Ultimately the debate going on in string theory centers on a deep question: What is the point of physics? Should a good theory be able to explain the particular characteristics of the universe around us or is that asking too much? And when a theory conflicts with the way we think our universe works, do we abandon the theory or the things we think we know?

String theory is incredibly appealing to many scientists because it is “beautiful”—its equations are satisfying and its proposed explanations elegant. But so far it lacks any experimental evidence supporting it—and even worse, any reasonable prospects for gathering such evidence. Yet even the suggestion string theory may not be able to accommodate the kind of dark energy we see in the cosmos around us does not dissuade some. “String theory is so rich and beautiful and so correct in almost all the things that it’s taught us that it’s hard to believe that the mistake is in string theory and not in us,” Sethi says. But perhaps chasing after beauty is not a good way to find the right theory of the universe.
 

bogosort

Joined Sep 24, 2011
696
I can't see where I or anyone else wants to stop the research or virtual “experiments” of theoretical research.
Maybe I've been interpreting you wrongly, but you seem to be the guy calling modern fundamental physics pseudo-science. And if you think it's pseudo-science, why would you be for research in it?
 

Thread Starter

nsaspook

Joined Aug 27, 2009
16,321
Maybe I've been interpreting you wrongly, but you seem to be the guy calling modern fundamental physics pseudo-science. And if you think it's pseudo-science, why would you be for research in it?
This is certainly not pseudo-science the way I would use the definition. There are plenty of perfectly valid scientific theories that also turn out to be wrong when tested (Michelson Morley experiment). There's no false impression of using the scientific method for a magic snake oil (but there are attempts by some to change the scientific method to be more compatible in an era of untestable research speculation), the aroma of pseudoscience is from the speculation from that research.
 
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bogosort

Joined Sep 24, 2011
696
This is certainly not pseudo-science the way I would use the definition. There are plenty of perfectly valid scientific theories that also turn out to be wrong when tested (Michelson Morley experiment). There's no false impression of using the scientific method for a magic snake oil (but there are attempts by some to change the scientific method to be more compatible in an era of untestable research speculation), the aroma of pseudoscience is from the speculation from that research.
I still don't understand your position. :)
 

Thread Starter

nsaspook

Joined Aug 27, 2009
16,321
It all depends on what your definition of IS is.
That IS somewhat true. If physics IS to become in some future incarnation a search for answers in the mathematical computational universe of all possible physics as a major direction of research for solving problems in the physical universe I think it's a good thing to ask, is that future incarnation also compatible with today's ideas of science in a mainly algorithmic universe of problem solving. Maybe we need to make sure the computational universe physics solving the equation are actually just mathematical constructs of what it does, not a physical reality of what the universe IS.

You can see the use of a computational universe of all possible programs with things like 'Deep learning' in ML. The problem is not solved by an algorithmic process, it's solved by creating a computational universe that we just feed the machine 'learned' data into instead. The process creates n-dimensional abstractions of the data in the storage system for later use. Programmers of the system don't need to understand exactly how physical images are deconstructed into this programming multiverse of possibilities, they only need to know how to calculate the probability of X bits of new information matching Y bits of old information stored in the system and those relationships. The 'Deep Learning' universe has no direct translation to physical reality. That's why it's easy to spoof and fool without a algorithmic universe physical absurdity checking front-end.
 

MrAl

Joined Jun 17, 2014
13,702
Hello again,

Could it be that the universe is just more complex then our brains are?
Last time i checked, fish cant play chess.

True reality may be too far removed from our way of thinking. We got spoiled on the simpler things of the past, and now we expect that simplicity to continue with no absolute rule that says that it must.
 

killivolt

Joined Jan 10, 2010
836
https://www.amazon.com/What-Einstei...8-1&keywords=what+einstein+kept+under+his+hat
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RN+B4k/wD6832xtUHJ1UdYfA7+J8J+q/3j0FyoChoUNChoUAKANDQoaFDQoaAoaBoChoUGaAtQFqAoPIfhJygxylh0clwfWdx7D9hFX2RR2kutRUvkEu/s/hQWeGS/KH6f8aC14ZqB+f7RD+i3/TQMs8/s29R/ZQL5TH8xGp70A94oIzODfL5/H4rLf2RtT3HKdB0dw5hUk4YTWqtohldbi+lg72YeBFzWrNETSXf8MvNeqx6nzMM5FlkEuIw0eLwqRocODhlsumU9XMh72Ny4Tp2iTvXPSImYi0e3D1epyZMeLJbDfc909/2+mvt9z3jPLU/pCNkwsMzvh5WKtYB2QAKxuDcqAABWWWsepHHs1fD8s/wl4teaxFq8x997SnCmU4flzppQiWOFpoeXpVWaO526b9bC1q2Y61iJcnV9Rlm1JmfEzqfrG1W4U4fkmwuGfDwRxuJSzYrXZ9KyHUukC7bdmxNtq58VJtWNfXy9Xrerpjz3jJaZia/y643qP+0rx1w5EgkxDqjyTYqDcrusdlQp7SpJ9du6tmbHERNvvDl+GdZe1oxVnUVrb9+Z2t3D2QphOcIrCOSXmKgFgl0VSvnupPtt3VvpSK708rqeqtn7Zt5iNb+qAzjKoGzjDFooyWikdiQO00ekIx8SoAsfKtVqx60fo7sGbJX4fkiJ/wDlEfvvZfhnJcPzswXkR6TMIyNIsUMUbFPVqJNvOrjrHdbhh1mfJOPDM29v8yp2DwyYfC/OIGwuLSQWYXEWJiLiNvLUFA9aitER2158T/d6+S058/yz89Jjx71nW/2TXE+VwjJ8OREgKiAr2RsZWTmEfrX38a2ZKx6Ufhx9Hmv/AKhk5/8At/TejzO8BHgsVgWwiCJpZhFIkeyyRnqSo2OnrfuvVvEUtWatPTZLdRgzRmncVjcTPtO/8ojjLAKuYTNHhYpW+JGUqwBGvWwMukg62AA7Pf0rDLH+5Oo3w6uhyb6KIveax363H01HH2hP5Zk2GGHx0KqjIX1tFossb8mNtIv13Aa46Xt3VtrWvbaHDl6jLbNivPnxE/WO6f8ApUsqwK8vLvmI8OXcMMUrdt9FyUYKARqHexI2rnrHy14193r9Rk/3M89021H8sx437/j7PX42BAIIIO4I7we+vQfJNqAoCghuKsnGKgZPyx2k9Y7vURt7j3UHgmNgMblSLWP8g/bVDrJ3sfZUFpy9+3H5N+6gt0Mm9BJwPdh+q37VoNcwj1RsPI/soFsGtkQeAX9lFQucr+AYryhxA9yvRHKVB1F8GmVx4nI8JHLqKFXuFdlv844sdJFxv0O1Y2pFo1Lbgz3w376ef03/AHWCbg/CusasJiIv7P5+bsb3BHa2I6A9QAANhWE4qTr7fd0V+I56zaY183niOf6FMTwtBJJzWM/MAChhPMCFAAsCH2va5t1Nyd6s4qzO/wDMscfXZaUnHGtT7dsT/gpg+HYIklVOaOdYyNzZC5IFgeYW1DbwNIxxG/umTrMmSazbXy+OI1+xbI8khwilIA6od9Jd2UdfRDEhb33t1q0pWnEMeo6rJ1Fu7J5/SI/s0zvIYcXp53MIXcBZHVb9x0qwBI7j1FL44t5Xp+rydPucev2if7pDCwiNFQFiFFgWYs23izEknzNZRGnPa3dMzJlm2SQ4go0gYOl9Do7I632NnUg2PhWNqVtzLdg6rJhiYr4nzExuJ/EjDZLFHE0SB1VySzB35jM3VjLfWW2G970ikRGoS/UXveL29vHEaj8eDWPhXDCB8NocxOblWkdrEG/ZJa6b77W3qelXt7dcN09fn9aM2/mj3iIgrmPDkE8ccUiuY4wAqiR1FlAAvZhqIsLE3tVnHWY0wxdZlxXnJXzPmdR/kYHhvDxSCUK7yAWV5ZJJGUHrpMjHT7KkY6xOzJ1mW9OzxH0iIj+xLE8LQSStOTOJWFiyzzKQvXSNLiy330ja9JxVm22VOuy1x+nGu36TWJ/x5b4fhqBIpIVEoSVtbnmya2bYE8zVq3CgHff209KutJbrctr1yTrceOI1+3gg3BuFMSwlZNCPrQc2S6G2khTquqkE9kbb1PRrrTZ/qOf1Jyb5mNTxHP6p+JAoAAsALAeAHStsOKZ3O5bUQUBQFB5P8K2Q6JBiEHZk2bykAvf/ABAE+sHxoKRl7WagsuWS9pT50Fpw0+9BLYKTtepf2n/tQPMR6J9R/ZQKx9B6hUVDZ7tgsYP+Fif+Vj++qjk+g6b4DzCTD8P4eaNEflpIzBmI7Ku5NiAd/KsMlprXcOnpMNM2WuO863xwlcbxPio4cNLyMOfjDIgHNfsmXdL9jpbr5+Napy2iInXl3Y+gw3y5Kd0/Lv2868+/7HmeZ1iYJsPEsUDc/sgmRxpcC7fkHs26Hr5Vle9omI15aOn6bDlx3vNpjt58R48fXyxmXETrijhY/i6ssauTM5XWWJsiADe1t28+lJyfN2/3MXRxbD61tzG9cRvX6pTh/HvPFrki5TanUpe9tDlQb2F72vfpvWdJmY5hzdThriydtbbjUc/rCNzDO8RHjY8KsUJWQFw5kYEIltVxptffYX91YWyWi8VdOLpcV+mtmm07jjWvr+WcizzETYmeCSKFVgIDMrsSS41LYFRtbrSmS02mJ9jqekxYsNMlbTM29pj/AJa4vinRj0wvLHLJCNLf0ZnUusdvNQv1hS2XWTtWnQd3Szm3zHOv/Hxv9yfEnEc+HklEcMbpDAszszlT2mZQoAU3PYqZMk13qF6Po8Oate60xNraiIj+vk64ezqeaRo5oUS0UUyFGLBll1bbqLEaatL2tOphr6rpsWOsTjtvmYncfRYa3OEUBQFAUBQFAUBQFBGcS5YMThpYe9l7Pk43U+8Cg59ibS1iCCDYjw7qImsFiLEesftqwLHDLQTeTSkmQ/qj3XP76kqlpH7LDxUj37fvoHhO9FQWfv8AgeM/+PEf8jURypQdLcGQSy8OQxQx63kikS2pRbU7jUST0HlvWvLEzSYh19DelM9b3nUROyuJ4blEWE5WARJonjeVw0QL8r0hqvc6j2t/bXPOKYiuq8vWp1tPUyzfLutomI4n38fsmuI8PiZMRhJI8MWWFjI3bjFy62KC56jx6VuvFptWdeHD0l8NMWWtr6m0ajifrsjn2UPLiHabBriYCiBAGRZUbfVpJI7Jvv2uoFqxvSbW5ruGfS9TXFjiMeSaW3O/pMe35/CW4MyyTDYYRyX9N2VdWrloT2I9XfYVsxVmtdS5evz1zZe+v0j7bn3nSKz7KZJ8fFI+EEsEaMh1NHZtdjr0k9F899tq13pNskTriHV0vUUxdLelb6tMxPifb2a8NZdPhp8U4weiKXS0aK8e3LW2iwNhqNzfpvvTHW1ZtwdZmx5sWKs33MedxP1ROL4bxckEjmKUYpsRzgBNHywwN0a1/wAlQqeNa/SvNfvt2Y+twUy1r3R6fbqflnfjn+vKy8RR4jEYFo1w55sqFGXWlkJ7y19xt3eNbskWtTWuZeb0dsOLqovNvlrO/HlKZAHEEayxmN1UIQSp9EAXuptY2rOn8sbc3UzWctppO4mdpKs2gUBQFAUBQFAUBQFBg0HP/F8IXG4i3/uue7xq6Qzw0nnUFkwMt/yj7v8AvVgWfKI9jv1IPTwAHj5VJVPpFe2/h9hB/dQLOvnRdITiLDWweK7X+5nbp4qx8fOhpypRHV/wOj/0fCfqv949Bc7UTQtRRagLU0C1AWomhaii1AWoM0BQFAUBQFAUBQFBjVQYLUHgfG66cZOP+K/2m/76vskIXDSb1jCrPlJJtWUC7ZULDpUkTkR2ouy1FR/Ew/AsVt/+PN921RHItVHT/wAHkjjh/DiN1SVo5EiLGw5ryOEF7G3atvY260E1lWd2iiEaTSPK7/NyMS0IjkEUytL2r6H1AEntEdaB5ieIHVGlSDWnNSGOz2ZyZTE506eyARcbkEbkqLkArDnTmURGIXRbzsHJSFymvQGKjXsVJ9E2dDbc2Bvl2eSsuHMkKqcSzlQWICRgF0U9k3kMdzp2HYfcWAIOcxzsxzpCseq5QOdVrc0sECCx5jdh2IuLIhN+gII5HK87yTvrVVlkiiUOdJSM8tiybAkyI5DeBFtuoRmWZqVlmlkkkfYPFpb5qeLFSAYbQpNkdSOVba5YMb6tgkp82ZJAZlKCPDvPLocOgNwAoGgPJ0cqbL6PQ32BLHcSyRRo7YWxcy3UyehHErMJG7FwDpUEWuC4A1GwIPGzognVGFWOISTsX/s7qWCqAvzhGk33WwKkXvsC2DzF2haaSEx21EKTuVXoTqC6SbdD08SN6CGn4jkgihPIaR5IGms0oBDXXTGW0WJLSKgNhuV2PaKha6AoCgKAoNWoG8+LReptQMcRncKj0hfba/jQeK8cTrJi5mRrgvce1Rt77irtERgkuairrkGG6VYRd8FDYUlUnElRdFgtFR/FA/AsX/d5vu2qI5Aqo6q+CfCpLkuEWRFYaWNmF9xI9iPA+dBaPimGEkS6IRIinlLZdSpcBtA6hb6b22vagWhyyFPQijXtmTZQPnGvd+npHU2/maBjimwIM5kbDAlQk+opfS4CBZL/AJwstj12HhQPIcFBqUokeqMaF0gXQWuFFvR2bp4MfGgRzTCgfPoIFlVbc2QegnVu11Ftz1t6r0C+V4ZI4I40OpFRQpvfULekT+VfrfvvQaDJcOFZBBFpe2pdIsdJuLjyO48CSaDeXKoG1aoYzrj5TXRTqiF7Rnbde03Z6bmgxLlMDLoaGJl0NHYopGhyCyWI9ElFJHQ6RfpQZkyuBi5aGMl05bkqO1H+Ydt136UChwUfLMPLTllSpSw0lW2II6EG5v43oE5sqgYaWhjIsgsUUi0bakFrdFbcDuNA8oCgKAoCgRxMgUEnoKCuY7FBgb9kHpa3f0+ygqWc5frBt3eJ6fxoKPjsrcMRY36mgzhICh7QPsoS9B4fjXSG1AX8dv20Fpw5X85feKB0CPEe+gUU38/UKGzDimMjBYs2P+zzfdtQcgUHTPAsj/0BhEiMqvLeIPGpZow8r6n2B02UNZjsDp3FBOlZjjlKmQLGBEAYxZogpaWQyMthrk5SBVIN4w260Ejw1i5pImmn1jX2hE0bKYgButiiuxvtuDuNriggMgdziedNDPoxMkkkd4ZhyXiYRJzgy9jVCkRUsAARJ+dcg8leaSIr8+jYjFMhdYCrJChI1Hs3CssVhI3/ALi7kWoDH4uaSGe/PXXI2H0mFtMUUbPrmBVA764lLAglSzRqtidw3ws2L/BoS0iX1SNJyRfliW8cLWj5cZ5PZa+g3IK7gigVyafFNiiJXl5ZEzBWiCqF5ipEC+j0rJI9r30yLcHrQWegKAoCgKAoCgKAoCgjc2mGkr40FPzYbi3f1/hsOtBrhbFdJW32+q/XegbzoryBX338LX8/P1neg04hw8aKAqkd/Tw7vXQJ5TjtQAPd9lBZcuCHa9/ZcfYLUE1Hhl62HuoHYbwoIvitr4HF/wB3m+7ag45oOsPgd/E+E/Vf7x6C52oCgKDFqDNqDFqDNAUBQFAUBQFAUBQFBq42oK1mhuezewHuvQQLRFmO9h+z+P8A3oGnNPTcDoOnf33NBthtIkSzG+oKfDc228fCgccWi3s2t4fz4UFSy+fcgd5PsG37gaB7FxBi4zZUAQdO/Yf81BdOGeJ0mBViLg+P7u6gsjSKBegq3FfE0HxfFQ6u0cPKB5kxtQcp0HWHwO/ifCfqv949Bc6AoCgKAoCgKAoCgKAoCgKAoCgKDDG1BX83YKL2tqvvt9l+goIhlJXwB/n+TQRGaRqoLsdIFjc+JFh7b0EdhMQDItjuCCP3H7KCR4tnV3FvzdX1rfw+2gquFgbVrOwuSfIDqfdQGBzKLFYlY2w/MLnSgkZh3dm2kEL03bxoFMZhmj3SOSNkYrqPQhQTpJ7yLHxuKD0Z5JPicbKCxYDVbcgdSe6g8qx7wSJi2cYjUI5GBU3EY0mxZSPRuQOt9+lt6DyCg6w+B38T4T9V/vHoLnQFAUBQFAUBQFAUBQFAUBQFAUBQJzHY0FUzsMWAUXJ7+5fXQR02IdAFOk38L9Ovf6qCtcVyHkhQTbWpPnv1/bQVqLMyrELfYXv5/wA70G+IzlncMf20Foy5TLCLaSLXII8Tbbc7nfoO6ge4LKHRg0ZZVF7LrXs37gd2HqoNeK5Pm7O12tcDuF+/3DrQWbg3GczCqT+SdPs8aBlxXhSuHxQIYD4vN2l02I0MdxbUPZtQcr0HWHwO/ifCfqv949Bc6AoCgKAoCgKAoCgKAoCgKAoCgKDV1uN6CKx6rpPaHqG9/wCNBTcXHu7tcW2F/Lf1eFBWM+xfVDuSpP8AiNtvdQVdVtqPjsfEGgQJoLrwTi9It337vPu/nwoLzBKLC1rd4oKBx9mR5jKliQBr/RHQLQXH4OcQHw9r9w2oJXiNw2Cxg6lYJh7eW2/uoORqDqP4Mc1iw+S4JpWKqQyghWbcyvYdkG1+g8SbVja0V8tuLDfLOqQuGDzmGUOVf+z/ALQMCpTa/aVgCu2+9IvE+FvgyUmImPPj7k8DxBh5mCI51MNSalddajqyFgA481vSLxK5Omy0r3TH6/b9foSTijCltPMYHXyyWjkVQ56IWKhQxuNie8eNT1Ksp6PNEb17b/H1bYniPDxu8bM+tN2AilNgehuFIsbHfpsfCk5KxOinSZbVi0RxP3hmbiPDqUBZyZEEiaY5G1KRe40qb7WJHUXF6vfCV6XLMTOvE6nlifibCpGkhlBR9RVlVm2j9O9gbae+9rWNT1K63ta9HmtaaxXmNf18HOWZvFiAxiYtpOlrqykEgMNmAPQg+2rW0W8NebDfFMRePLGAziKZ3SMsWjNnBRxpPhdgBfvt4EHpSLxPgyYL46xa0cT4P6yakRieJcNGZAzsDGVV/m5DpL+j0Xv7qwnJWHRTpMtoiYjz4/BRc+gPNJfSIf7QsrKEuLi5YAdLH1EeIp3xz9knpsny8fzeGcFnsEpKozagurSyOrFfzgrAFh5gGrF4nhL9PkpG5jj/ACUyvNosQpaEswU6SSrLuOo7QG46HwO1K2i3hM2G+KdXjkybivCgMS72VxGfmpdpDeyW03vt08x4ip6lW3+CzcceY35jx9SuI4igRzGxk1hQxURSk6SL6tlO29r+O3WnfG9Ma9LktXuiON68x5P8Fi0mjWSNtSOAynxB6HesomJjcNN6Wpaa28wXqsScsd6CrZ/lQbybr7L9PtFBQc2yRjKL38rA7W/n3UFczLDNHIyMLHr5EHvFBHkUE7lb8uLX4vYe7/zQXrC4k8m6ntHv/N8T/PeRQefZ9gHuzq25IWw3uG6b95NA44L+Nq9oxpHeW6UHoeeQsmExDay4OFlSTa3a5bFWt3Dci3qoOWaDpDhPCyS8P4KOKN3YsrHSyqQseILk3ZhvZbC3fatWWJmNQ7vh+SmPLNrzrifP3jSaXI8RJHj4GQqJheOZ2DM11XTG1iSdNmUnwItfc1r9O0xav193T/FYqXxZInfb5rEcR9/zxJ++HnxEuE1QGEYduY7MyG5CFAkekkkHVe5tsOnhnqba48NMZMeKuTVu7ujUefrvc/dETZRiXeYiCUF8WsyBni5OleWLyIGJY9hiLA/k+FYdttzx7uqOpw1rSO6OKanUTvfPifyd5rl8zY2SYQTlQIdGlogHaFmc6lMg7J1AAncG5t421Z7+6GvDmxx01cc2je53uJ43qOOPLbF5bO74Ecl0EcJWRoWRBG8iKtlGq9lK7gX2t1patpmvDDDmxUx5eYncxqJje4iWkOWTf0Y8TYUCflSQqFZLkyizyElrAM/aO5JAv1NqRWfT1rllObHHWReL/LuJ/bxH48LLksOmJSYjG5VQ4Om90AW5Kkg7KLb9LVupHDz+otu8xE7jc6QOFOKikxRTCyXmnV0YtFpCBUQlvnL9EYgAeFaoi0TOo8y7sno5KY4m/wDLWd+fPM/RZ4MQzM6mNlCkBWJWzgqCSADcWJI3t0rdE7ebasRETE/8KvxPw/LPORHtFNFpmYNYhoSzRW8bswB8lrRkxza3Hu9Lo+rx4sfzeazx+k8SwcjxEuAIdVGJeVcQ6E9lmR1Kxlhf8iNFvv0q9lprz5WOqxU6ndf5IjUfmPP7zs8EM0+LhxDQPCkEcgszIXkaTT2QFYjSNPUnc29dXUzaLNXqY8eC2KLbm0x+Ijf1NuHvjUKLEcM66sRI7szRFVjkdn7nJLbgbDxqY+6sa17s+r9HJbvi+9ViIjnzEa+iMGWYtZ3xSQSlxii6xlotDRSJoc+n2X7Ppdeg6FrYRS0Wm2vd0zmwXx1xWtGu3UzqdxMTuPbweZ3l802KEvIxAQRxAaGiuXSUS6WUyAEbaT57i+xrK1Zm29NPT5sdMHZ3Rvc+YnxMa348+60ZGrjDxiRFjfSNSLaynvAttW6vjl52ft9Se2dx9T6smoUCUkAY3O/lQMcRlik6httY+z0Tc+H76DxT4QMwVsQUTSVj2uO895+yggO4eqiHUeIIQJ3XJ99v4UE8M5VYzv2uijy77eG19/KioyXiZSlrG9/Vt0v6++gmIOK49yLjuHToD3nxN/OgnVzpXwWIS/aOHmNj10mM729Zt7KDm+g6g+DbNUw2SYJ3DEESDs2J2aV+hIvsh2Fze21BbI89iI1NdBa/a073cRrYKxJ1O2ldt7HyuGWzyLkzzDUVgMgYDTqJiuCACbb22uRfag2w+dRMoYtouGYK1tRVG06wASGUkixF7hlt1oNlziHWELqGJcC5FjytnNwSBY3G9j2W8KI3bNIuW8oYMqJzDp37JXULeZFiB5ihpthMyil9B1J0hiLi4BVWF7eTqfaKLowwfE0UhQBZF1I7ksFAQRuIyG7R7RY7Bb+za4OnziL8lg/aRTpI7OtdYJuQAAnbPfpF7UGRneH3+ej2TmnfpHt2z5bj30CePztIZIoyrsZBcFdNgNaJuCwb/eg7A7KxNrUCn9N4exPOSwBYm+wCsUJPqZSvrFBiTOIlEhLAcsMTuNwiK7G19rBwDqtv6wSDvBzrIiuvRgGHTv7jba4omi1qKLUGaAoCgKCn8b8RrCnKDWLgi/6IG5/cPH9oeC4icszHxJPvNBuuI2ohfm7DpQY03ProJHA8OvLYIOvqoq1ZRwbIo7a9kbfk339VAtxDl6xQSkL2jDIvntG3vsKDnyg6m+CzLopsmwQlQMFWQi99izSoSLdDpdhf9I0FxbLIiwbTYqEAsWAAjJKDSDawLHu/YKDVMohCcsKQupXtqb0kKld73sNC7dLC3SgTXIoBuEI9AbO+wjkMqAdrYK7NYDuNum1Al/V+JmkLjUrKVC3fs6y7SEHVe7GRtxYgbDagdvlkRV1KmzlWbtPclLad73FtI6eFAjBlCDm6rfOAIQt1AjUaVQWNxYHqCN/DYANZuHsMwcGPZ/SAZ1vdi5PZYWJYkk9TsDsKBXEZPC6lWS4Oq/aYX1pyz0P5m3l3UGJslgc3ZCTtvrceiUI6N4xR7/o+ZuC02XRuXZlJLpy27TehvsBew9I7ix86DSDKYUXSqbdnvY+i5kG5Nz22J9tBq+TwkklTc6ie0/VmVj37bovut0oHcEKooVRYAAAeQoFKAoCgKAoGmY4gKjdoAkEA3ta460HiPH2MM7K67IvZU2IG2zDfa4PXp1oKM/WgwG8KBWJ6qHiPamhNZRxCYyAfVfw9dRVpw/GJ1EalI8QaBPMc35sM8h2DYeZQT3XQjYeJIoOf6DrD4HfxPhP1X+8egudAUBQFAUBQFAUBQFAUBQFAUBQFBgm1BGY7NgtgvU7AnoT0AHiSSLUELmMinUzEOdxdug79OkDb1ny9geQ5zimjldJQGilOvv7DObllPfe17b+vrcIbFYUektipPZI7+/YdR7f3UDExEGg1VqBxHNcUGdVBJZlAsMEX57tqJ/RAsR7yKCXwM9sDKGO5hk0nr+Sev8KDx+g6s+CGdVyfBBmUFlcAEgEnmP0HfQXBMXG26uhG+4YHpue/uoD42llOtbNsp1CzHwBvv7KDPxpLX1Lbbe4/K9H393jQCYpDsHU2NjZh18PXsdqDDYtANRdQNtywtvuN/Mb0GxxC/nL3947r391j7j4UGsmMjW13QX6XYC9/b5H3UGgzKE9JY/H016db9aBxHIGAKkEHoQbg+2g2oCgKAoCgKDDMALnpQV/M8xDtov2d9ri5I6XHvNvLx6BXcbjHkDqqrtaxXZlbr+VsdtJHtoGuKYtHtdNQuW7kuOxuPyTcn20FTziAyKwYqw7PcQBa+46WW1rW/ZQVdXOHJUjVG217bjxtfo3l7aB3NhOZ84gBUi11/J8Ljrfa+1BG4jLWBIPj4i+4uDt7r0BHljgjWpAPkfC/XxoJHCZOxIYMo0sD27qrWsdif4UEjxTlryyJbSiqLG5uNR3sNN77DrQQWOxsmGSSBxqUo2m9xsVNmHqudvOg8/oOg+B4cFNluXmfGwxSQJIAjSRjd8QknbQsLj5gCx/Ov1ANBLf0Rl5jjRs0w/zSNHGRJFssi8uS+t2JLJYbEAW6d1A5xeEwEkaIcywoKyPISrxAEyddKB7LawsDqBNyQ16DbGYPLHgaFcfhU1TvPq5kJIZwy7XbbSjBB3aVCkFbqQT+I4G6/wDqsAEcrTpaSLaRmDAks7dBrWyaLiRqDSLKssXD/Fv6Ti0B1cHnxBl0wckAHVsPyrf4em1BrNlOXOrKczw43dk0yQroMhmZrdrcasTJt002U33JDeLLsuSVZUzLDiz69JlQjd3dgNMikAtIxsSRcnY32BfF4TLXWwx+FUhZ1BEkP+/nScnZgeyYwuxGxPfQT+X5/go40Q47CnSoF+cm9u/dyfeT66Bx/WjA/TcL/nR/6qA/rRgfpuF/zo/9VAf1owP03C/50f8AqoD+tGB+m4X/ADo/9VAf1owP03C/50f+qgP60YH6bhf86P8A1UELmPFWFdrLjcMFHfzIzuPyvS8tvf6gr8/FeHD6BPC5O4fmxi6nwIa1x0ttfegYSZvh9Gg4jCgk3RllQgajc6gT0F9gbd9A2gzmMDQMRAl1BA5qadJG621Gx2tbwCjuoNcbjsMx7OKiuSSSZV7RItudXTa9BC4p4GURPNDYgb8yMi9xuSDfoT1NBXfja4aQhJI5Iz4MLMvnv12/m9BKYXGYeW5EsaCw7JZQVYG+y33BAI6nc99Ascyw56unXbSykg9Cd+ncdjbuv1oNzmsJjf59L6SLcxetuo36bDp4n2A2GPj0srzw31W9MXNgAe/oyk7/AMgNs4zKLFYV9csQdY2IXWt7gbW3vfrt3g0HltAUBQFAUBQFAUBQFAUBQFAUBQFAUBQFAUBQFAUBQFAUBQFAUBQf/9k=
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

I think you might like this one. I purchased a copy to kill time and ask uncertain questions.

kv

Edit:
Page xvi - In 1035, when Einstein first walked into his kitchen at 112 Mercer Street in Princeton, New Jersey, he of course saw a stove. But in his mind he also saw an apparatus for transforming the chemical entry in wood or gas into thermal energy and for conveying that thermal energy into a chicken. None of which, of course, diminished his subsequent enjoyment of the chicken, but all of which probably added an extra bit of spice to his dinner, a spice undetected by less scientifically tuned intellects.
Science is a sort of intellectual spice that adds depth and allure to everyday things, not the least of which is food.
 
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