Relativity Physics and Science Calculator - Appendix .
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Proper Time vs. Coordinate Time


Relativity Science Calculator - Appendix

"Mass is a phenomenon of connecting light rays which go back and forth, sort of freezing them into a pattern. So matter, as it were, is condensed or frozen light", Dialogues with Scientists and Sages, 1986 - David Bohm, Ph.D. ( 1917 - 1992, born Jewish - American, Manhattan Project, Israel's Technion ), theoretical Physicist, a close Einstein colleague at Princeton University's Institute for Advanced Study

Kepler's 3rd Law

Proper Time vs. Coordinate Time

Newton & Kepler: Circular Velocity and Acceleration Planetary Equations

Proper Time vs. Coordinate Time

Proper Time vs. Coordinate Time

What is the Connection between Proper vs. Relativistic?
Proper
( at rest, co - moving )
Lorentz Factor
<--- ( the connector ) --->
Relativistic
( in motion, at a distance )
invariant, constant time lorentz factor relativistic time
invariant, constant length Proper Time vs. Coordinate Time relativistic length
invariant, constant mass Proper Time vs. Coordinate Time in special relativity: relativistic, inertial or effective mass
in general relativity: inertial mass == gravitational mass
[ Proper Time vs. Coordinate Time from the Latin celeritas meaning speed or swiftness is universal constant, all other quantities being relative ]

The Relation between Proper Time vs. Coordinate Time
lorentz factor

Lorentz-FitzGerald


Newton vs. Einstein: Motion, Time, Mass and Gravity

Motion

Newton: 'inertial' means uniform, non - accelerating, straight - line motion

Einstein: 'inertial' means non - accelerating; 'non - inertial' means accelerating motion

Time

Newton: time is constant, universally invariant

Einstein: time is relativistic ( relative ) depending upon clock separation distance and speed

Mass

Newton: mass is constant, universally invariant

Einstein: mass is relativistic ( relative ) depending upon body of matter possessing distance, velocity and acceleration ( equiv. gravity )

Gravity

Newton: instantaneous action at a distance

Einstein: finite speed travelling at the speed of light; best described, understood by a non - Euclidean geometry metric variable
mathematically identified by the "fundamental metric tensor", Proper Time vs. Coordinate Time

Philosophically

Each of these qualities of external physical reality are intimately intertwined!!
That is, without one or the other, any remaining external quality in physics is meaningless!

Inertial Mass

Proper Time vs. Coordinate Time

Energy

Proper Time vs. Coordinate Time

Inertial Mass, Gravitational Mass, and the Geodetic ( Geodesic ) Equation

Proper Time vs. Coordinate Time Proper Time vs. Coordinate Time


Gravity

Poisson's Gravitational Potentials is the connection between Einstein's Gravity Field Equation and Newton's 'Action at a Distance'

Black Holes Event Horizon and Escape Velocity

Proper Time vs. Coordinate Time

Proper Time vs. Coordinate Time

Proper Time vs. Coordinate Time

Proper Time vs. Coordinate Time

Proper Time vs. Coordinate Time

Proper Time vs. Coordinate Time

∗∗∗notice: these two equations are exactly the same!! Just substitute Proper Time vs. Coordinate Timefor Proper Time vs. Coordinate Time. Voilá!

Proper Time vs. Coordinate Time

Proper Time vs. Coordinate Time

Proper Time vs. Coordinate Time

Proper Time vs. Coordinate Timesee: general relativity - Orthonormal Curvilinear Base Vectors in a Generalized Coordinate System


Proper Time vs. Coordinate Time

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Proper Time vs. Coordinate Time Proper Time vs. Coordinate TimeProper Time vs. Coordinate Time
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Proper Time vs. Coordinate Time

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