Re: Gyroscopes and Relativity

On 06-Feb-25 8:03 pm, Corey White wrote:

Gyroscopes and Relativity
 Gyroscopes are well-known for their ability to maintain stability and resist
changes in orientation. Their behavior is governed by precession, a
principle that describes how a spinning object responds to external forces.
However, beyond the classical explanations of angular momentum and torque,
there may be a deeper connection to relativity and time dilation. By
examining how rotational motion interacts with the fabric of spacetime, we
can explore the possibility that gyroscopes experience a form of
gravitational resistance due to relativistic effects.
 Precession: Why a Gyroscope Falls in a Spiral Path
 If you drop a spinning gyroscope alongside a regular object, the gyroscope
will not simply fall straight down. Instead, it follows a spiral path,
hitting the ground slightly after the other object. This delay is
traditionally explained by precession, where a force applied to a spinning
object causes its motion to shift perpendicular to the applied force rather
than directly in the expected direction.
 Precession occurs because of angular momentum. When gravity pulls down on a
spinning gyroscope, it does not simply fall; instead, the force causes the
direction of its spin to shift. This results in a spiraling motion rather
than a direct descent. But there may be another explanation—one that
involves the effects of relativity on rotational motion.
 Time Dilation in a Rotating Wheel
 To test this idea, imagine a heavy wheel mounted on an axle, spinning
rapidly in a vertical plane. If you rotate the axle in a horizontal plane
while the wheel is still spinning, the wheel will either float upward or
sink downward, depending on the direction of rotation.
  From the perspective of the Earth, the spinning wheel is moving on a verical
plane. When the axle is rotated horizontally, the wheel’s motion expands
into additional directions, creating a more complex spiraling path. This
extended path means that the wheel moves a greater distance in the same
amount of time.
 According to the principles of relativity, when an object moves through
space in a longer path while maintaining the same time frame, time dilation
occurs. In other words, time slows down within the rotating system compared
to its surroundings. If this effect is strong enough, it could cause the
gyroscope to experience a slower descent relative to the Earth, creating an
apparent "anti-gravity" effect.
 No Limit to Rotational Speed
 One of the most intriguing aspects of this theory is that rotation is not
limited by the speed of light. Unlike linear motion, where an object’s
velocity cannot exceed the speed of light, a wheel can theoretically spin a
million number of times per second without violating relativity.
 Before the axle is rotated, every point on the spinning wheel is moving up
and down, left and right, within its original vertical plane. But when the
wheel's axis is rotated, those same points begin moving in new directions,
altering the motion of the system as a whole. This change in direction
creates a spiral trajectory that increases the total distance traveled by
the wheel's components in a given time frame.
 Because the wheel’s rotation is not constrained by the speed of light, it
can reach extreme rotational speeds without changing its relative position
to the Earth. As a result, the wheel’s movement interacts with spacetime
differently than a typical falling object. This could explain why the
gyroscope seems to resist gravity momentarily before stabilizing.
 Why the Effect Stops in a Horizontal Plane
 If time dilation is responsible for this behavior, then the anti-gravity
effect should disappear once the wheel reaches a purely horizontal
orientation. At this point, all of its motion is confined to a single
plane, meaning there is no additional change in direction to extend the
path further. Without a continuously increasing trajectory, the conditions
for time dilation weaken, and the wheel behaves normally once again.
 This suggests that the relationship between rotation, precession, and time
dilation is not constant but dependent on the complexity of the wheel’s
motion. When a spinning object undergoes a continuous change in direction
across multiple planes, its interaction with gravity may be fundamentally
different than previously thought.
 Watch it here:
 https://youtu.be/GeyDf4ooPdo?si=qrxh4EmBG1IhxzkD
 

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