Physics_Math_Philosophy
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Artificial Gravity?

At this scale, it is easier to see that the trees are not under the influence of "artificial" gravity. It is real.
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The gravitational field around each blade of grass and tree is the same as the field around each blade of grass and tree on the surface of Earth.

Notice that if you drive on a road perpendicular to the cylinder axis, you will increase gravity driving one way and decrease it driving the other. If you drive opposite to the spin and at the radial speed, your gravitational field turns Minkowskian, and you are in a "free fall" or inertial coordinate system. That is, you and the car become "weightless."

That means this: The value of a gravity field can go from a surface-of-a-planet value to a free-fall value by a coordinate transformation among systems that are moving at a constant velocity with respect to each other.

At any instant of time, a car moving at the radial speed is in a Minkowski field, and a system at rest on the cylinder is in a planet-surface field. A ...

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The Dirac Equation is Relativistically Invariant

The Dirac Equation is Relativistically Invariant.
Proof attached.

The_Dirac_equation.pdf
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Relativistic Energy-Momentum relation

Proving the Relativistic Energy-Momentum relation, the hard way and the easier way.

Prove_the_relativistic_Energy_relation.pdf
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