It got around that Johannes knew something about economics. And 
one day Nerd, who lately had been dropping by frequently to talk to 
Johannes about such matters, decided to bring with him three 
acquaintances: Turbo�a stockbroker whom Nerd used to help with 
computer systems; Heavy Gripp�a former mining engineer, now 
unemployed, whom Nerd also used to do programming for; and 
Betty Gripp�Heavy's wife, who, unknown to Heavy, had invested 
the family savings with Turbo, into "high-tech" stocks, and lost 
everything. Turbo came a bit late to the meeting, after Nerd had 
introduced Heavy and Betty to Johannes.
Nerd: Johannes, I thought I would bring Heavy with me, since we 
were talking about physical economy. Heavy used to be involved in 
coal mining. He is very physical. I told him some of the things you 
were telling me, about what has really been happening to the U.S. 
economy. He couldn't believe it, so I asked him to come along and 
talk to you directly.
Heavy (gripping Johannes's hand with crushing force): Pleased to 
meet you, Johannes.
Johannes (wincing in pain): Nerd told me you were interested in 
real economics.
Heavy: Yes, I have always believed we had to get back to 
production, and stop all this speculative nonsense. I firmly believe 
that money is the root of all the world's problems.
Nerd: Well, speaking of money, my old friend Turbo has just 
arrived.
Betty: Oh my goodness! You! You scoundrel! You thief! You're the 
one who tricked me out of my savings!
Turbo: You gave them to me to invest for you. I can't help it if the 
whole market collapsed.
Heavy: Who is this, Betty?
Betty: But you told me my investments were safe!
Turbo: Mrs. Gripp, I want you to know, that your investments were 
placed by "PTOLEMY"�the most sophisticated computerized 
market analysis and projection system ever devised. PTOLEMY 
combines multivariant analysis, higher-order correlation functions, 
stochastic integrals, the Merton-Scholes partial differential equations 
and advanced neural network pattern-recognition techniques, to a 
data base incorporating the last 3,000 years of market 
developments, and updated on a nanosecond basis. Nerd here, one 
of the leading software specialists in the world, upgraded PTOLEMY 
using declassified Lawrence Livermore nuclear simulation codes, 
and ran the whole package on our dedicated Cray supercomputer.
Betty: But, my money is gone!
Turbo: Don't worry. The markets will go up again. They always do. 
You just have to wait long enough.
Betty: But I need my money now!
Turbo: How about a carry-over loan? Just wait a few days, I have to 
find a new bank to help my clients. My former banker has gone into 
default.
Heavy (his huge hand gradually coming together into a fist): I don't 
believe any of that fancy talk. I think you're just a plain thief!
Nerd: Now, Heavy, don't talk that way to Turbo. He has five Ph.D. 
degrees: mathematics, physics, economics, computer science, and 
Tibetan Buddhism.
Betty: (sobbing) What about my money?
Heavy: Betty, how could you speculate like that with our savings? I 
have always stuck with honest-to-God industrial stocks: GM, 
General Electric, Boeing, chemical companies ...
Nerd: But your investments were pretty much wiped out, too, 
weren't they, Heavy?
Heavy: Well, I have to admit. For some reason the profits of all 
those industrial companies suddenly evaporated. I can't figure it out.
Johannes: Doesn't surprise me. Where should their profits come 
from? In net physical terms the U.S. economy has had no growth at 
all since the middle of the 1960s. Actually, the economy has been 
shrinking constantly.
Turbo: You must be crazy! U.S. real Gross Domestic Product grew 
three times over since the 1960s, average earnings and incomes 
have skyrocketted....
Johannes: Forget the GDP. It means nothing. Most of the so-called 
income is just from the monetary bubble.
Heavy: But look here, Johannes, we agree there was a financial 
bubble. But at the same time, our agriculture and industry have 
grown vastly in productivity�so much so, that we don't know what to 
do with all the automobiles and other goods we can bring onto the 
market. We can put up houses and office buildings faster than ever 
before. We have VCRs and cell phones and many other new types 
of products that never existed in the past. Never before have we 
turned out such incredible material wealth.
Johannes: Most of the goods are inferior, cheap stuff.
Heavy: You can't say that! Cars last longer and get better mileage. 
PCs have increased in computing power hundreds and thousands 
of times while decreasing in cost. And the same time, industrial 
manpower requirements have dropped precipitously. That's why I'm 
unemployed.
Johannes: On the contrary. The productivity of the U.S. economy 
has been constantly collapsing, since the mid- to late 1960s, at an 
accelerating rate. That is absolutely clear, if you use competent, 
Riemannian standards of measurement.
Heavy: Well what do you say to this: Take coal mining�an area I 
know first-hand. The productivity of U.S. coal mining has grown by 
leaps and bounds, especially in the period when you say the U.S. 
economy stopped developing. Productivity doubled between 1953 
and 1963, grew by another third between 1963 and 1983, and then 
doubled again from 1983 to 1993. Since then it grew again by 
another 60%. Today we have less than half as many coal miners as 
in the mid-seventies, but they produce almost twice as much coal. If 
you don't believe me, take a look at the hard facts (the following 
figures give for selected years: the number of U.S. coal miners in 
thousands; U.S. coal production in million tons per year; and tons of 
coal mined per miner per year):
Year
Coal
Miners
(thousands)
Coal
Production
(mio t/yr)
Coal Mined
per Miner
(tons)

1953
                                                                293 
                                                                457 
                                                              1,559 
                                                                    
1963
                                                                142 
                                                                469 
                                                              3,240 
                                                                    
1973
                                                                148 
                                                                592 
                                                              3,995 
                                                                    
1983
                                                                176 
                                                                782 
                                                              4,453 
                                                                    
1993
                                                                101 
                                                                945 
                                                              9,331 
                                                                    
2000
                                                                 70 
                                                              1,076 
                                                             15,364 
                                                                    
   The reason for the dramatic increases in productivity, is the 
    revolutionary advances in the technology and methods of coal 
  mining over the last 30 years. Now isn't that just what you call 
    economic development�the impact of technological advance to 
              increase the productive powers of labor?
Johannes: Wait a minute. You can never just point to a set of data 
like that, and say: "These data prove XYZ."
Heavy: Why not?
Johannes: Just for the same reason, that ancients like Aristarchos 
understood, that the true ordering of the solar system is not the 
motions of the planets as the happen to appear to us in the sky. 
Because data, statistics and so forth are just a kind of generalized 
sense perceptions. Mere sense perceptions mean nothing in and of 
themselves, and can never prove anything. Only hypothesis can 
prove something. Don't forget: in economics, we deal exclusively 
with Riemannian manifolds, where no scalar measurement is 
possible.
Heavy: Excuse me. If an average coal miner in the year 2000 
produces 3.8 times more coal per year than a coal miner in the year 
1973�simple arithmetic tells us that�you are going to tell me, there 
has been no productivity increase in the U.S. economy?! It cost me 
my job!
Johannes: Calm down and think about this: When we compare 
data from the various years, we have to take account of the change 
in the structure of the economy, from one period to the next, don't 
we? In other words, the worker was producing coal in a different 
economy in 2000, than he was in 1973 or 1953. So, your numbers 
belong to different geometries, and therefore you can't compare 
them in a simple arithmetic way.
Heavy: I don't know what you mean. For me, a ton of coal is a ton of 
coal, and a worker is a worker.
Johannes: Not in their relation to the economy, and to the universe. 
Let's just suppose, for example, that the coal companies would 
throw most of the billion tons of coal, the miners produce, into the 
sea, instead of burning it to make electricity; or suppose most of the 
electricity, produced from the coal, were somehow wasted. Would 
you say, in that case, that the economy had become more 
productive through the workers' producing more coal?
Heavy: Well, no. But it wouldn't be the workers' fault.
Johannes: They ought to pay attention to what is happening to the 
economy, that they are working so hard to supply coal for, shouldn't 
they?
Heavy: Your example is irrelevant. The U.S. burns 80% of the 
coal�about 850 million tons per year, to produce electricity, and 
that electricity is used to light our homes and offices and make our 
factories run. The rest is used for heating and so forth. So�apart 
from unavoidable losses�the coal is not wasted and the fantastic 
productivity increases in coal mining are passed on to the whole 
economy.
Johannes: In any case you will grant, that the actual effect of the 
miner's producing the coal, on the economy as a whole, depends on 
the structure of that whole economy, not just on the amount of coal 
he produces?
Heavy: True.
Johannes: Also, you recognize, that the miner didn't produce the 
coal all by himself; he depended on a gigantic complex of machinery 
and infrastructure, on large inputs of energy and so forth. All that 
had to be supplied. So you can't talk about the productivity of the 
miner, without taking into account the productivity of all the workers 
that supplied all the inputs he depended on, and the inputs those 
workers require in turn, and so on?
Heavy: But productivity has been going up in ALL branches of U.S. 
industry. And besides that, the cost of coal has been going down 
constantly, which confirms, that all in all, productivity is higher.
Johannes: But you agreed to leave monetary criteria aside, as 
misleading and manipulated, didn't you? Besides, weren't you a 
strike leader in the old days? Isn't a lot of the mining done with non-
union labor nowadays?
Heavy: (red in the face) Uh, yeah ...
Johannes: Besides that, you wanted to prove to me that 
productivity has increased in mining, and now you need for your 
argument, the proposition, that productivity has gone up in all 
branches of industry? Isn't that a bit circular?
Heavy: (exasperated) You just can't say it isn't true! Look, in the 
1960s it took about 45% of the nation's employed workforce to 
produce the food and industrial products the nation consumed. 
Today it takes much less than 20% of the workforce to produce, for 
a level of consumption which is vastly higher than 40 years ago.
Turbo: Thanks to that, millions of lucky people were liberated from 
the tyranny of productive labor, to become yuppies, like me!
Johannes: Dear Heavy! You're once again arguing on the basis of 
mere "perceptions," which prove nothing. I shall show you in a 
minute, how the same "data," from which you claim to deduce vastly 
increased productivity, are fully consistent with a very different 
hypothesis, according to which the real productivity in the U.S. 
economy has collapsed, precipitously, over the same time interval.
Heavy: Impossible! Absurd!
Johannes: First of all I want to get a small point out of the way. You 
are surely aware, that the U.S. has had a huge and growing trade 
deficit, at least until the crash began last year?
Heavy: Yeah.
Johannes: So the U.S. did not actually meet its own consumption, 
but in a sense has been living off the rest of the world.
Turbo: That is a vast exaggeration. Last year the deficit was about 
$500 billion, but the U.S. Gross Domestic Product was about $9000 
billion. So the net of what we got from the outside is really 
insignificant, only about 2.5%.
Heavy: Besides, the imports are not because we can't produce for 
ourselves, but because foreign countries, under the pressure of 
overproduction everywhere, are itching to dump their goods on the 
U.S. market.
Johannes: Maybe the dependence is much more serious, in reality, 
than both of you realize. Did you know, for example, that about 38% 
of U.S. outlays for capital goods, are imported? But we agreed to 
leave monetary measures aside. Tell me this, Heavy: Doesn't the 
U.S. import a rather large percentage of strategic minerals�more 
than 99% of its consumption of asbestos, bauxite and alumina, 
columbium (niobium), graphite, manganese, natural mica sheet, 
quartz crystal, strontium, thallium, thorium and yttrium; as well as 
95% of its bismuth consumption, 94% of its antimony, 86% of its tin, 
83% of its platinum, 80% of its tantalum, 78% of its chrome, 76% of 
its titanium concentrates, and so forth? All this, in spite of the fact, 
that the U.S. has a vast and rather richly endowed territory?
Turbo: But those non-oil raw mineral imports amount to only $3-5 
billion a year, completely insignificant.
Johannes: Really? And if the supply of those minerals from abroad 
were suddenly interrupted, what would happen to the U.S. 
economy?
Heavy: We could produce those minerals, of course, if we wanted, 
on our own territory.
Johannes: Why don't we, then? Because it would be too 
expensive? Weren't you just telling me about the fantastic 
productivity of the U.S. mining sector, with its revolutionary 
technologies? Hasn't the government been concerned for decades 
about dependence on imports of strategic minerals? Why didn't we 
solve that strategic vulnerability problem long ago, even if it meant 
spending a few billion a year?
Heavy: What are you trying to prove by all this?
Johannes: Nothing. I am just pointing out some paradoxes and 
anomalies, that can put us on the track of reality. But let me get 
back to your coal mining sector, for a further point. Isn't it true, that 
over the last 30 years, the dramatic increase in tonnage produced 
per miner�which you choose to call "productivity"�was connected 
with a shift of the major source of production, from underground 
mines to surface (open pit) mining, mainly in the West of the U.S.? 
Didn't that greatly increase the land-use requirements per unit 
production, as well as nearly double the average rail transportation 
distance from the mine to the point of use? Isn't the surface-mined 
coal generally lower in heat-content density, compared to the coal 
accessed by underground mines?
Heavy: Yes.
Johannes: Is it not true, that surface mining became attractive, 
because of its amenability to automated, mass-production 
techniques, which process gigantic amounts of earth�as opposed 
to advancing the methods for pinpointing and extracting the higher-
concentration deposits that exist underground? Which would require 
further discoveries in geological science, and corresponding skills 
and technologies? Wasn't the apparent increase in productivity, 
achieved at the expense of shutting down hundreds of independent 
mines, discarding invaluable skills and know-how in the process; 
concentrating production in a few "mega" companies; laying off 
thousands of skilled workers and engineers, and using virtual 
monopoly powers to depress wages and other costs?
Heavy: Yes, that's all true; but what are you getting at?
Johannes: I am suggesting to you, once more, that despite your 
perception of vastly increased productivity, the U.S. has actually 
moved toward a overall technological mode of production since the 
mid-1960s!
Heavy: How in the world can you speak of a "lower technological 
mode of production"? U.S. industry has been introducing new 
technologies all along. When you replace your equipment, you 
always try to get the most modern, state-of-the art equipment.
Johannes: Just because a machine is new, doesn't mean it 
embodies a "higher technological mode of production". Quite the 
opposite can be the case.
Heavy: Well, given two technological modes of production, how can 
I tell the higher one from the lower one?
Johannes: In principle in two ways. First, the higher mode is the 
one that incorporates one or more valid discoveries of physical 
principle, not embodied in the lower mode. Secondly, the higher 
mode of production is the one that defines the relatively higher 
potential population density. In other words, higher mode of 
production is the one, for which the maximum population, that could 
sustain itself on a given territory, on the basis of the given mode of 
production, is largest. Of course, using a higher mode of production 
generally requires a more developed labor force, in terms of its 
education and cognitive powers.
Heavy: So what are you saying?
Johannes: I am saying, that the maximum density of population, 
which could potentially support itself on the territory of the United 
States, on the basis of the current modes of production, 
employment and cognitive development of the present U.S. labor 
force, is actually much lower, than the corresponding figure at the 
end of the 1960s! The technological trends in U.S. mining, which 
you describe, typify this. Land use, for example, has become more 
extensive, rather than intensive, consistent with a drop in potential 
population density. Naturally, the potential population density is 
defined by the entire range of technologies employed by society, not 
simply in mining.
Heavy: I still don't see it. If we can produce the same amount of 
wealth, with fewer workers, doesn't that mean greater productive 
power? And doesn't greater productive power mean we can 
maintain a larger population?
Turbo: More yuppies per productive worker!
Johannes: No. Merely economizing labor�as by automatized 
equipment, for example�in and of itself does not necessarily 
increase the potential population-density of a nation or the human 
species as a whole! Increase in the potential population density of 
the human species, is a function of the development of human 
cognitive powers, to discover, assimilate and apply new physical 
principles toward the mastery of the Universe. The latter depends, 
for example, on how we develop and employ the labor, that might 
potentially be "freed up" through the use of labor-saving techniques.
Heavy: Aha!
Johannes: If we simply throw people out of productive employment, 
rather than upgrading their employment; and instead transform them 
into parasites, then we correspondingly collapse the overall 
cognitive potential of society, in its per-capita power to master the 
Universe. And that is what happened. Generally speaking, the so-
called "technological development" in the U.S. over the last 30 
years, has followed the pathway of successive adaptation to 
conditions of an economy characterized by declining cognitive 
powers of the labor force.
Heavy: I still can't believe those fantastic machines we are using in 
our mines today, and the sophisticated sensing, prospecting and 
control instruments and techniques, that were undreamed-of just 
twenty years ago, represent a "lower technological mode" and a 
lower productivity.
Johannes: We have to look at the U.S. economy as a whole. As I 
told you, in a Riemannian manifold no part has a self-evident 
measure; the value of any part is determined from the geometry of 
the whole manifold. But here is the clincher: the reason for the huge 
investments in scaling-up U.S. coal production, particularly since the 
late 1960s, are connected with the decision NOT to go for 
development of nuclear energy as the main technology for electricity 
generation, and eventually also for process heat. Nuclear power 
production is characterized by a vastly higher energy flux density 
than coal or other fossil energy technologies. From a pound of 
uranium fuel, we can produce, in a fission reactor, the heat 
equivalent of burning some 50,000 pounds of coal! Plus, nuclear 
power plants can have a much high power density than coal power 
plants. Nuclear power is a typical expression of the higher mode of 
production, which the U.S. had been shifting toward the 1950s into 
the 1960s, but which was increasingly abandoned, in the 
subsequent period. So, the apparent technological development you 
observed in coal mining was actually subsumed within a shift 
backward from the process of moving toward a higher technological 
mode for the U.S. as a whole. The nuclear sector, which demands a 
much higher average educational level, a higher material living 
standard and health standard than coal mining, would otherwise 
have grown to a dominant sector of the U.S. economy, rather than 
merely a marginal one, as today. Taking account of things like the 
Moon-Mars project, fusion energy, and so forth, which would have 
been part of the progression to higher modes, the U.S. labor force 
structure would have been completely different.
Heavy: Well, I have to admit this sheds a completely different light 
on those production and productivity statistics, I was showing you. 
You turned everything on its head.
Johannes: As I told you, the numbers mean nothing by themselves. 
You have to know what geometry you are in; and here we have a 
changing geometry. For example, the U.S. economy before the mid-
1960s, and the U.S. economy afterwards, embody different, 
axiomatically incommensurable geometrical types. These, however, 
cannot be deduced from the data per se, any more than 
astronomers could deduce the true orbits of the planets, and the 
organization of the solar system, from the apparent motions as seen 
from the Earth. Because in and of themselves the apparent motions 
were compatible with several, mutually-inconsistent 
interpretations�just as I have show you for your productivity data. 
Just as the planets sometimes appear to be moving in one direction, 
when in reality they are moving in the opposite direction, but appear 
to do so only because we observe them from a moving Earth; so 
your data give a distorted picture of reality, like all mere sense 
perceptions, because of the changing geometry of the whole. To 
discover the real ordering of changes in the economy, you need a 
physical hypothesis, as Kepler did for the planetary orbits; an 
hypothesis which cannot be deduced from perception or data more 
generally, but belongs to a realm beyond the discrete manifold of 
perception.
Nerd: You mean, we have to do, for economics, what Kepler did for 
astronomy?
Johannes: Exactly. It's very simple. I'll show you next time.
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