Matter tells spacetime how to curve · Spacetime tells matter how to move
NEWTON
OBJECTS MOVE THROUGH
NEUTRAL SPACE AND TIME
EINSTEIN
MASS CURVES THE FABRIC
FABRIC GUIDES THE MASS
THE REVERSAL
Newton's Universe
Space is a fixed, neutral stage. Time flows at a constant rate everywhere. Objects move through it — pulled by forces acting at a distance. Gravity is a force between masses. The universe is a billiard table and the laws are geometry.
Einstein's Universe
Space and time are one fabric — spacetime. Mass tells that fabric how to curve. The curved fabric tells mass how to move. Gravity is not a force. It is the shape of space.
There is no force pulling you to Earth. You are following the straightest possible path through curved spacetime. That path happens to look like falling.
The Field Equations
Gμν + Λgμν = 8πG/c⁴ · Tμν
Left side: the geometry of spacetime — how curved it is. Right side: the energy and mass content — what is in it.
They are equal. They are the same statement. The distribution of mass-energy is the geometry of spacetime. This single equation replaced Newton's entire framework.
E = mc²
Not just a formula. A statement that mass and energy are the same thing in different form. A small amount of mass contains an enormous amount of energy — multiplied by the speed of light squared.
The c² is not a coincidence. It is the conversion rate between two things that were always one thing.
GRAVITATIONAL TIME DILATION
ADJUST MASS TO OBSERVE TIME DILATION
Time Is Not Fixed
Clocks near massive objects run slower than clocks far away. This is not a mechanical effect. Time itself passes more slowly near mass.
The more mass. The slower the clock. The greater the difference.
Mass & Dilation
MASS
30 M☉
DISTANCE
60 AU
Twin Paradox
TRAVEL SPEED
0.50c
At 0.50c — time for the traveler passes at 86% the rate of the observer at rest.
Near Clock
1.00x
Far Clock
1.00x
Time Factor
—
Twin Age Δ
—
GPS Proof
GPS satellites orbit at 20,200 km. Weaker gravity means their clocks run 38 microseconds faster per day than clocks on Earth's surface.
Without correction, GPS would drift by 11 kilometers per day. The correction runs constantly. Your phone depends on Einstein being right.
The Fact
Time is not a backdrop. It is a material. It bends. The watch on your wrist and the watch on a satellite measure different durations of the same moment. Both are correct.
SPACETIME CURVATURE
CLICK TO PLACE MASS · DRAG TO MOVE
The Fabric
Space is not empty. It is a fabric that can stretch, curve, and ripple. Mass curves it. Curved space tells everything — light, matter, time — how to move through it.
Controls
MASS
40
GRID DENSITY
18
Light Paths
Light does not bend. Light travels in straight lines. But straight lines through curved space appear bent to any flat observer.
This was confirmed in 1919 — starlight bending around the Sun during a solar eclipse. The first experimental proof that Einstein was right.
Frame Dragging
A spinning mass drags spacetime around it like a spoon through honey. Objects near a rotating mass are pulled not just toward it but around it.
Measured directly by Gravity Probe B in 2011 after 40 years of development. The frame drag of Earth's rotation is 0.039 arcseconds per year. Confirmed to within 19%.
Schwarzschild Radius
Increase mass until curvature reaches a point of no return. The event horizon forms — a boundary where escape velocity equals the speed of light.
Not a surface. Not a wall. A geometry. The shape of spacetime closes inward completely. Nothing escapes because there is no outward direction left.