----------------/Example of concept/----------------
box:
Box/finite 3-d Structure in the ground.
about the size and shape of a tin of mixed nuts. 20cm high, and 20cm inner radius
it's orienta ion is as the tin would be on a super-market shelf.
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Box, exterior surface
Earth adjacent surface is an interface for thermal energy. Meaning that for any given nbd of an interface point the derivative of the difference in the taverage temperature between the set of points on either side of the surface is always negative.
--------------/Harness temperature differential to create angular momentum/-------------
box interior
Geometry makes the fluid rotate. it's not radially symmetric
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let's suppose that the innersurface is smooth and is parallel to the line of shortest distance to the center of the earth, or a skin pour in a acne commercial in the 3-d sense). I will call the plane separating the inner skin of the box and the gas in the interior the interface. The greater the differential in temperature across the interface, the quicker that the two become equal. In nbd (neighborhood) of any point on the interface, the magnitude of second derivative of temperature for nbds of gas with respect to the nbd part of the nbd is monotomically increasing with respect to surface area of the interface inside the nbd. meaning that given any nbd straddling the interface, the greater the the surface area, the greater the rate of heat transfer. thus, inside the dimple, if the box nbd is greater than the gas surface, gas nbd's will have a greater derivative of temp w/respect to time. and given that the dimple is realtively closed, you better believe that the pressure will increase as well. Meaning that in the limit as the dimple goes to a closed circle, it will go to a closed sphere with greater pressure than the gas in the cavity. thus, you have a jet coming out from the dimple. Take the 2-d to get a simple example. Now, the interface is a square, as is the cavity. in a 2-d cross section, a suppose you make an indentation that makes the surface look like an omega (upper case). The dimple results in a force perpendicular to the interface (the original interface). if this is in the middle of a side, the force will radially. Suppose that you have two dimples and the are located on opposite sides and near opposite corners. This will create a force that will make the gas spin. Check it, black has become white
. if the dimple is actually triangular in nature, and then you make it non-isosocles, there will be an asymetriy, and thus a net force in one direction. or maybe you want a reverse dimple, like i think they use in electron microscopes. But I really don’t think so, in, out fasizle: bottom line, asymmetry is radial distance creates an asymetric in force on the gas with respect to radial distance. angular asymetry creates and asymegtry with respect to angle of the force. either way, there exists a set of asymetries that will cause the gas to rotate. you stack such structure to the limit of creating a 3-d object, cap it at both ends with low friction disks perpendicular to the radial distancde to the center of the earth, and you should be on a boat.
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transportation of kinetic energy outside the box:
shaft:
there exists a relatively clyindrical bar or something that peirces the box. like a hotdog with the centeral axis vertical. at the interface of the box to shaft, is some grease or something that has low friction, yet maintains and air-tight seal, and does not drip attached to the shart are playing cards. orientation is parallel to a distance vector of the distance with respect to the center of the earth. gas spins, applies asymterical pressure to blades (cards), causes the shaft to spin as well at this point, the part of the shaft exterior to the box is just like the shaft extending from a turbine in a power plant, thus, you know, do the same ol thing and get some power.
I refer to this configuration as ‘Mr. McLean’s Super-Happy-Fun-Box and the Shaft of Eternal Glory' iron atoms in the spinning gas could be nice. or net charge (see the happy-fun-box of torment and despair).
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Note: getting around conservation of angular momentum: the angular momentum of the gas is allowed to increase because its counter angular momentum is absorbed by the earth. the relative size differential should keep things cool for the time being.
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