Clocks On a Hyperdimensional Planet

• Hornbein
In summary, on a 4D planet with one dimension of time, a clock would have two perpendicular 2D planes for rotation, with independent periods. The hands on the clock correspond to the Sun's position in the sky, with blue and red hour hands and no minute hand. The length of the hands depends on the location of the clock on the planet's surface. This concept was first explained by Clifford in 1895. Beings from the fourth dimension were once believed to be highly intelligent, but it was later understood that their actions would be incredibly complex. The Earth already rotates around two planes at an acute angle, with independent and incommensurate periods known as day and year. The movement of the month hand on a

Hornbein

On a planet with four spatial dimensions and one of time a clock would look like this.

The hands are connected with pivots. The height of the jewel corresponds to the height of the Sun in the sky. If it is above white then it is daylight, if above black it is night. Here the sun has height 6. There is no minute hand on this clock, rather there are the blue and red hour hands. The time shown is 6p5a, with a and p corresponding to am and pm.

All this is because 4D objects can rotate on two perpendicular 2D planes. The periods of rotation are independent. This was elucidated by Clifford in about 1895. If the periods are different then the Sun can do things like dip below the horizon then rise again.

The length of the hands depends on the location of the clock on the surface of the planet. This clock is closer to the "blue" plane than it is to the "red" plane so the blue hand is longer.

https://www.researchgate.net/publication/359213812_Elsewhere_Everyday_Life_On_A_Hypergeometric_Earth.

pinball1970
It was once believed that beings from the fourth dimension would possess spectacular intelligence. The vastly greater room for neural pathways in their brains would make them as gods to us lowly humans. But in time we came to understand. Every move they make, every simple endeavor, explodes in hopeless complexity. And in time, they would find themselves without the will to even get up in the morn ... noon... early... whatever that clock says.

Lren Zvsm
Hornbein said:
All this is because 4D objects can rotate on two perpendicular 2D planes. The periods of rotation are independent. This was elucidated by Clifford in about 1895. If the periods are different then the Sun can do things like dip below the horizon then rise again.
Earth already rotates around two planes that are actually at an acute angle. The periods are independent, incommensurate and important. They are called day and year.
How does the month hand on clocks move? (Note that while hours are equal, months are not.)

I think the Earth around the Sun is revolve, not rotate. A 4d planet would do that too, but OP is just talking about rotating. The path the 4d planet would take around the star... I have no idea.

1. What is a hyperdimensional planet?

A hyperdimensional planet is a theoretical planet that exists in a higher number of dimensions than our three-dimensional world. It is believed that these planets may have more complex and advanced physical and spatial properties than our own.

2. How do clocks work on a hyperdimensional planet?

Clocks on a hyperdimensional planet would likely work differently than the clocks we are familiar with. They may measure time in a different way or have different mechanisms for keeping time. It is also possible that time itself may function differently on a hyperdimensional planet.

3. Can we observe a hyperdimensional planet from Earth?

As a scientist, I cannot definitively answer this question as the existence of hyperdimensional planets is still a topic of theoretical discussion. However, it is unlikely that we would be able to observe a hyperdimensional planet from Earth as our current technology and understanding of physics is limited to our three-dimensional world.

4. How would life be different on a hyperdimensional planet?

Life on a hyperdimensional planet would likely be vastly different from life on Earth. The physical and spatial properties of a hyperdimensional planet would greatly impact the evolution and behavior of living beings. It is possible that life forms on a hyperdimensional planet may have abilities and senses that we cannot even imagine.

5. Is there any evidence of hyperdimensional planets in our universe?

At this time, there is no concrete evidence of the existence of hyperdimensional planets in our universe. However, some theories in physics, such as string theory, suggest the possibility of higher dimensions and parallel universes. Further research and exploration may provide more insight into the existence of hyperdimensional planets.

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