Exploring 4th dimension

Ideas about how a world with more than three spatial dimensions would work - what laws of physics would be needed, how things would be built, how people would do things and so on.

Exploring 4th dimension

Postby Beppe58 » Wed Mar 11, 2015 9:05 am

Hyperdrive project: mechanical device to rotate an object in the 4th dimension around a plane.

Flatland by Abbott describes a 2D world whose people discover the existence of 3rd dimension observing the appearance and disappearance of an increasing and decreasing circle. A sphere crossed Flatland.
Now we suppose that the Flatland people is sure about 3rd dimension existence. Also this 3rd dimension is extended as much as the usual two 2D dimensions.
Problem: how is it possible to explore the 3rd dimension, how penetrate it ?
In the Flatland the only allowed rotation is around a point. Thinking in 3D, the point on the space plane could be the intersection of a normal line with Flatland.
In order to exit from the 2D space, a rotation around to a constrained line might be suitable.
But Flatland people is not able to perceive the depth over his plane world, hence it is impossible to define any axis in order to carry out a rotation.
Assumption: I think that in the physical world the “zero” and “infinite” do not exist. Flatland must have a thickness, some extension in the 3rd dimension. This extension has never been seen before. Without this assumption the hyperdrive cannot work.
By virtue of this idea, Flatland people equip a constrained bar (1) to avoid the rotation on the plane world. In the middle of bar 1 another bar (2) is fixed normally. A vibration generator is applied somewhere on bar 2.

[img]D:/beppe/Hyperdrive.pdf[/img]

Thank to the existence of some intrinsic extension in 3rd dimension, the 2D generated vibrations should transmit their self along the invisible vertical direction. The bar 2 will swing normally to Flatland, that is small rotations of bar 2 around bar 1.
Flatland people can verify the effective penetration of the bar 2 in the 3rd dimension simply measuring the length of the bar 2.
If the bar 2 rotate really around bar 1 going in the 3rd dimension, Flatland people will be able to measure the “projection” of the bar 2 on their 2D world.

Jumping to our 3D world the experimental approach is the same, with the difference that we must be able to induce some rotation of an object around a plane.
Instead of bar, 1 we can use a constrained plane in order to avoid any rotation in the 3D space. In the middle of plane will be normally fixed. The bar will hold up a spherical generator of vibrations. As in Flatland, we can verify the effective invasion of the 4th dimension, measuring the length of the bar. This will be true if we suppose that all usual matter of universe is characterized by some extension in the hypothetical 4th dimension. Experimental aspects:
- Spatial range (geometry) of the experiment elements: large scale or quantum scale ?
- Shape of plane and bar bonds
- Vibration generator position
- Frequency and energy of vibrations
thanks for attention
Giuseppe - Bergamo - Italy
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Re: Exploring 4th dimension

Postby Keiji » Thu Mar 12, 2015 12:51 pm

OP asked me to upload this image. In future, please use the 'Upload attachment' tab below the posting form.
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Re: Exploring 4th dimension

Postby Beppe58 » Mon Mar 16, 2015 11:04 am

Hyperdrive project: mechanical device to rotate an object in the 4th dimension around a plan. Part 2

The basic and critic physical principle on which the hyperdrive is based, is the induction of some swing out of the space (2D for Flatland).
Following a different approach, instead of using the vibration generator, people Flatland equipped the bar 2, by an airfoil inside a gas flux.
In 2D plan the airfoil is an infinite wing (closed con tour line of airfoil). From a 3D point of view the surface of the airfoil define the end of the wing. In our usual space at the end of a real wing (wing over) some turbulence effects can be arise (vortices). Some fluid streamlines escape out of the wing. In Flatland the turbulence could be arise out of the plan world, inducing 3D swing on bar 2.
Jumping to our 3D world, instead of using a wing section, we consider a wing closed on itself, like the shell of jet turbine. In 3D world this wing is infinite, but in 4th dimension some edge surface will exist. Turbulence could occur at the invisible 3D boundary of the wing. Some streamlines could escape out of usual 3D space and invade the 4th dimension. The 4D turbulence will produce 4D swing on bar 2. This effect cab be verified measuring the length of bar 2.
Like previous Hyperdirve version, some critical experimental aspects:
- Spatial range (geometry) of the experiment elements: large scale or quantum scale ?
- Shape of plane and bar bonds
- Airfoil (wing) dimension, shape and structure
- Type of gas and dynamic characteristics

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2D fluid dynamic Hyperdrive
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3D fluid dynamic Hyperdrive
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Re: Exploring 4th dimension

Postby harijiths » Mon Apr 20, 2015 1:51 pm

hey i have done a video about the 4th dimension. Check it out here: https://www.youtube.com/watch?v=ZpfazInoRQw
in it i have also described the flatland analogy . :D . please like "if you found it useful"
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