Curved Space?

the number of displacement variables must match the number of dimensions in order to simulate reality.

Yes, such regions are known to exist. One example is the U. S Treasury Department; another is inside the event horizon of the black hole at the center of our galaxy.

You missed the point. You should reread the original post before answering. The Treasury Department does not exist in curved space, but is a product of twisted space. ;-)

Oh, the Treasury is a product of Congress. I should have considered that.

What color is the bear?

White!

/Hey, no fair, Tornado; you're already in Alaska.

2₃ + 2₃ = 11₃

What ever you're using to test this might be moving while you're doing this.

On a geographic scale, the further north you go the shorter the nautical mile becomes.

With each degree north you move the latitudinal lines move closer together but each degree is still 60 nautical miles.

GPS and Loran navigational aids have corrections they input into their calculations so everything works correctly but if you take two charts that are the same scale but one is for Southern California and the other is for Washington State, you'll find the about a 200 yard difference in the nautical mile.

Definition of Nautical Mile:

noun

a unit used in measuring distances at sea, equal to approximately 2,025 yards (1,852 m). Compare with sea mile .

A nautical mile is the same distance no mater where you are on Earth.

I served in the U.S. Navy as an Operations Specialist. In normal practice what you said is true, however I served on minesweepers in the Arabian Gulf and we used what is called the ISS/Hyperfix system to pinpoint mines in the water right down to within a few yards to give a plot to a Bomb Disposal Unit Diver to go down and diffuse the mine. The only way we could supply such a plot was having accurate navigational information and to do that we had to correct the input for the nautical mile for that area we were operating. Actually when you get up north in the upper part of the unted states the nautical mile is more like 1820 yards.

You can take two different charts of the same scale but one depicts a northern more region than the other and take your dividers and measure the distance from one and transpose it to the other and find they do not match.

I thought the Nautical Mile was 'one minute of arc, subtended at sea level'. which is actually an angular measurement with the vertex located at the gravitational center of the earth.

so it actually does matter where on earth you are. so the actual distance involved does vary depending on your height above sealevel.

Chris

thank you. ga.

Another possible fly on the ointment is that the Earth is not a sphere. It is an oblate spheroid. This could account for a difference in "1 degree of arc" when translated to feet.

Imagine a tennis ball sitting on the ground (a sphere). If you step on it, the height becomes less, and the width becomes more. This is an oblate spheroid.

Bill