Chapter 6

The Engines Stop

Time dilation, zero gravity, and first contact

The engines stop and Grace experiences weightlessness for the first time. He calculates the spin drive's enormous power, understands relativistic time dilation, and upon activating the petrovascope discovers something terrifying and wonderful: an alien ship 200 meters away.

Spin drive power: E=mc² in real time

In the book

Grace calculates: 6 g/s of astrophages × c² = 540 trillion watts. This power prevents using the petrovascope while engines are on.

The science behind it

Applying E = mc² directly: 0.006 kg/s × (3×10⁸ m/s)² = 5.4 × 10¹⁴ W = 540 terawatts. For context: all of humanity consumes about 18 terawatts. The ship produces 30 times more.

The petrovascope is tuned exactly to the Petrova wavelength (25.984 μm). But the engines ALSO emit that frequency in astronomical quantities. It's like trying to see stars at noon: the Sun eclipses them.

This "signal interference" problem is real in astronomy. Infrared telescopes can't observe near the Sun, and radio telescopes avoid terrestrial communication frequencies.

Key terms

Terawatt (TW)
10¹² watts. All humanity consumes ~18 TW. The spin drive produces 540 TW.
Signal interference
When a powerful source at the same frequency prevents detecting a weak signal. Like trying to hear a whisper next to a jet engine.

Time dilation: 12 light-years in 3 years of coma

In the book

Tau Ceti is 12 light-years away, but Grace only experienced ~3 years of coma. Special relativity explains the difference.

The science behind it

When something travels near the speed of light, time passes more slowly for it. It's not an illusion: it's a real effect, experimentally verified with atomic clocks on airplanes and GPS satellites.

At 0.9c (90% of light speed), time dilates by a factor of ~2.3. A 12-light-year trip would feel like ~5 years. At even higher speeds, the effect is more pronounced.

The formula is: t' = t × √(1 - v²/c²). At 0.5c: factor 0.87. At 0.9c: factor 0.44. At 0.99c: factor 0.14. At 0.999c: factor 0.045.

Crucial implication: on Earth, ~13 years have passed since departure (12 light-years distance + travel time). Any information Grace sends will take another 12 years to arrive. Earth has been suffering for at least 25 years.

Key terms

Time dilation
Special relativity effect: at higher speeds, time passes slower for the traveler compared to a stationary observer.
Light-year
Distance light travels in one year: 9.46 trillion km. It's a distance measure, not time.
Lorentz factor
γ = 1/√(1-v²/c²). Quantifies how much time dilates and space contracts at relativistic speeds.

Try it yourself

Relativistic Time Dilation

t' = t × √(1 - v²/c²)
0%25%50%75%99.9%
Lorentz factor (γ)
1.155
Time passes 1.2× slower on the ship
Interstellar journeys:
DestinationDistanceTime on EarthTime on ship
Alpha Centauri4.37 ly8.7 years7.6 years
Tau Ceti11.9 ly23.8 years20.6 years
40 Eridani16.5 ly33.0 years28.6 years
Vega25 ly50.0 years43.3 years
Andromeda2.5M ly5.1e+6 years4.4e+6 years

The Hail Mary traveled at ~0.5c average

Zero gravity: panic when engines stop

In the book

When engines stop, gravity (which was engine acceleration) vanishes instantly. Grace vomits and panics.

The science behind it

The engines created a force indistinguishable from gravity (Equivalence Principle). When they stop, that force vanishes suddenly. It's as if the floor disappeared beneath your feet.

The human brain has a vestibular system (in the inner ear) calibrated for Earth's gravity. Sudden loss of gravity confuses the brain: it doesn't know where "up" is. Result: nausea, disorientation, vomiting.

"Space sickness" affects about 60% of astronauts in their first days on the ISS. Over time, the brain adapts and learns to function without gravity.

Key terms

Vestibular system
Inner ear organ detecting orientation and movement. Responsible for balance and knowing where "up" is.
Space sickness
Nausea and disorientation caused by microgravity. Affects ~60% of astronauts in the first days.

The petrovascope detects an alien ship

In the book

With engines off, Grace activates the petrovascope. He detects astrophages at Tau Ceti, then Petrova flashes that turn out to be the engines of a triangular ship 200 meters away.

The science behind it

The petrovascope uses an occulter: a metal plate blocking the star directly, just like NASA's solar coronagraphs that block the Sun's disk to see its corona.

The alien ship has a triangular shape with flat surfaces. Flat surfaces are the WORST geometry for containing internal pressure (spheres are optimal). That the ship uses flat panels implies an extraordinarily strong material.

The Petrova-frequency flashes are the ship's engines: proof that the alien ALSO uses astrophages as fuel. Two separate civilizations, the same solution.

Key terms

Coronagraph
Instrument that blocks a star's direct light to see faint objects near it (like planets or coronas).
Internal pressure and geometry
A sphere distributes pressure evenly. A cube concentrates stress at edges. That's why pressure tanks are cylindrical or spherical.