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2D world

Let’s figure out why we can’t live in the point.

Maybe because every object would be pressed into the same point and there would be no difference between any object and ultimately between us.

Let’s figure out why we can’t live in the 1D world.

Maybe because we couldn’t move independently. If the human before us would like to go back and we would like to keep going forward, then what?

What is the analogic interpretation of why we can’t live in the 2D world?

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Archimede’s principle and Einstein’s theory of relativity

Just imagine that you would have a bath one light minute long filled with fluid.

If you stay on one end and your friend stays on the other end and your friend sinks some object in the fluid at time ts, what would you be able to see at time ts?

At least this event should happen at time ts:

The level of the fluid must increase, based on the Archimede’s principle, and the overall weight of the bath as well.

From your position (at time ts):

Would you be able to detect the changes of the level of the fluid?

If you weigh the bath, would you be able to detect the changes in its weight?

Let the maximum load of the bath be denoted as Xmax and the weight of the sinking object as xo.

1. case:

If you detect the change, it simply means that you’ve received the information faster than light.

2. case:

If you do not detect any change in weight after sinking the object xo , does it mean that your friend on the other side could sink a heavier object?

What would happen if the heavier object is heavier than the maximum load of the bath?

xo > Xmax

If you are able to detect any changes in the fluid or in the bath at time ts. it means that the information from the other end (which is one light minute away from you) get to you faster than light.

Would you be able via this method to send binary information (by sinking and removing an object) faster than light?

A slightly easier example:

Just imagine a cylinder with the height of one light minute standing in the upright position and filled with some fluid. Standing at the top, you would directly see the level of the fluid.

Let Vc denote the fluid volume.

What would happen at time ts if your friend standing at the bottom opened the valve and released some amount of fluid?

At least this event should happen at time ts:

Vc must decrease.

Would you be able to see the level of the fluid decreasing at time ts?

If yes, you received the information faster than the speed of light.

Using this method, would you be able to send binary information (by opening and closing the valve) faster than the speed of light?

Could the fluid be replaced by a field?

Or does it not depend on the medium (material, fluid, field) but only if the medium is somehow bounded?

Does it mean that the information can be transferred faster than light?

How can it be explained by the theory of relativity that the information can’t be transferred faster than light?

We will award the first person who rigorously solves this problem (answers all the questions) 1000$.

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Life equation

The universe can be infinite and so would the number of possibilities that would allow extraterrestrial life, but what if the equation for life is linear in one variable?

You can do whatever you want and take as long as you want to find the second solution, but you will always fail.

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Probability

Your freedom is bounded by the laws of probability.

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Statistics

Statistics gave me the power to know what the whole world will do without knowing what you will do.

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