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How Far Beyond Earth Could Humanity Spread?

PBS Space Time·
6 min read

Based on PBS Space Time's video on YouTube. If you like this content, support the original creators by watching, liking and subscribing to their content.

TL;DR

Dark energy and the cosmological event horizon impose a finite maximum reach on any expanding civilization, regardless of technological ambition.

Briefing

Humanity’s long-term reach isn’t limited by fuel, politics, or even survival odds—it’s capped by cosmology. Even if intergalactic travel becomes feasible, the accelerating expansion of the universe creates horizons beyond which light (and therefore information or travelers) can never catch up. Under optimistic assumptions—no collisions with other expanding civilizations and the ability to hop between galaxies—civilization can spread only within a finite “affectable universe,” roughly a sphere 16.5 billion light-years in radius (in comoving distance). That limit matters because it turns sci-fi scale questions (“How far could we go?”) into computable boundaries set by dark energy.

The analysis leans on spacetime diagrams in comoving coordinates and the geometry of light cones. A future light cone defines where a signal sent today can reach; anything outside it is forever inaccessible. In an accelerating universe, the cosmological event horizon behaves like a “reverse black hole horizon”: travelers can cross it outward, but destinations outside it can never be entered from within. The key twist is that the Hubble horizon is no longer receding at light speed; dark energy makes the boundary of superluminal expansion drift back toward us. That allows crossing our own horizon in principle, but only up to the event-horizon distance.

Toby Ord (Future of Humanity Institute, University of Oxford) is used to quantify the maximum region an expanding civilization could influence. In today’s universe, the relevant horizon sits about 16.5 billion light-years away, and by the time ships arrive it will be much larger in physical distance—even though the comoving limit stays fixed. Ord estimates the affectable universe contains on the order of 20 billion galaxies and about a sextillion stars. If expansion maximizes occupancy of Earth-like worlds around Sun-like stars, the model yields roughly 10^20 occupied planets and perhaps 10^30 human descendants at any one time, assuming near-total proliferation.

Timing and speed sharply affect how much of that region gets filled. Waiting shrinks the cosmological event horizon: each year of procrastination costs an average of about 3 galaxies permanently. The “era of isolation” arrives when the light cone contracts so much that only the local galaxy cluster remains reachable—predicted to be about a hundred billion years away, with only about 20% of the affectable universe lost a billion years from now.

Travel speed also scales the outcome. Because expansion is roughly uniform, the affectable radius is approximately proportional to travel speed: at half the speed of light, the radius halves and the accessible volume drops to about one-eighth. Still, even at 20% of light speed, the civilization could access around a billion galaxies or more.

Finally, expansion doesn’t just mean distance—it means communication. As outposts spread beyond each other’s event horizons, two-way contact becomes impossible. A 2022 study by S. Jay Olson estimates how many back-and-forth communication cycles can occur before isolation, finding that at ~20% light speed many regions get multiple exchanges, while near-light-speed expansion leaves most settlers without any return messages from Earth.

The bottom line: if humanity survives and achieves intergalactic travel, its maximum footprint is enormous but finite—bounded by dark energy’s horizons, shaped by how fast expansion begins, and accompanied by inevitable cultural and informational separation across causally disconnected regions.

Cornell Notes

Cosmology sets a hard ceiling on how far an expanding civilization can spread, even if intergalactic travel becomes possible. In an accelerating universe, the cosmological event horizon limits access to a finite “affectable universe,” about 16.5 billion light-years in comoving radius. Toby Ord estimates this region contains roughly 20 billion galaxies and about a sextillion stars, implying potentially ~10^20 occupied planets and up to ~10^30 human descendants at any one time under maximal proliferation. Delays shrink the horizon—about 3 galaxies per year fall permanently out of reach—and slower travel reduces the accessible volume roughly in proportion to speed. Communication also fades: once outposts cross event horizons, two-way contact ends, with the number of possible message exchanges depending strongly on average travel speed.

What physical boundary stops intergalactic expansion, even with near-light-speed ships?

The cosmological event horizon. In spacetime terms, signals and travelers can only reach points inside their future light cone; anything outside is forever inaccessible. In an accelerating universe driven by dark energy, the Hubble horizon’s behavior changes so that our own horizon can be crossed outward, but only up to the event-horizon distance. Beyond that boundary, other regions race away faster than light travel can compensate, so neither visits nor information exchange are possible.

How does comoving distance and the spacetime diagram clarify the “16.5 billion light-years” limit?

Using comoving coordinates, the analysis tracks points that move with the expansion of space. The conformal/comoving spacetime diagram makes light rays run along 45-degree lines, letting the cosmological event horizon appear as a boundary that can be crossed in one direction but not the other—like a reverse black hole horizon. The modern event-horizon distance is about 16.5 billion light-years; by the time ships reach it, the physical distance is much larger, but the comoving limit is what fixes the maximum affectable region.

What does Toby Ord’s “affectable universe” estimate, and what assumptions drive the numbers?

Ord’s affectable universe is a sphere with radius ~16.5 billion light-years in comoving distance. He estimates it contains about 20 billion galaxies and roughly a sextillion stars. Under a maximal-proliferation scenario—occupying Earth-like planets around Sun-like stars throughout that region—the model yields on the order of 10^20 occupied planets and perhaps 10^30 human descendants at any one time. These figures assume civilization spreads immediately, in all directions, and that intergalactic travel is possible without running into other expanding civilizations.

Why does waiting reduce the reachable region, and what timescale defines the “era of isolation”?

Because the cosmological event horizon shrinks in the sense of what remains reachable. Each year of delay costs about 3 galaxies permanently. The era of isolation begins when the light cone contracts enough that only the local galaxy cluster remains accessible; the estimate given is that about 20% of the affectable universe is lost after a billion years, while isolation doesn’t start for roughly another hundred billion years.

How do travel speed and communication limits interact?

Speed changes the accessible volume because the universe expands everywhere roughly uniformly. The analysis treats the affectable radius as approximately proportional to average travel speed: at half the speed of light, the radius halves and the volume drops to about one-eighth. Communication fades even faster in practice: a 2022 study by S. Jay Olson estimates how many two-way message exchanges can occur before isolation. At ~20% light speed, a large fraction of the spread can have multiple communications, but more than half of the volume gets two or fewer; near-light-speed expansion leaves most settlers without any return messages.

What does “ultimately observable universe” add beyond the affectable universe?

It’s about observation rather than influence. Future explorers traveling near light speed would have different past light cones, shifting what they can see. Ord’s ultimately observable universe is nearly 160 billion light-years across (nearly twice the present observable radius in comoving terms). But even if far more is observable, communication between distant outposts becomes impossible once they’re causally disconnected beyond each other’s event horizons.

Review Questions

  1. What role do future light cones and the cosmological event horizon play in limiting where travelers and signals can go?
  2. How do comoving coordinates and the conformal spacetime diagram make the “reverse black hole horizon” behavior easier to visualize?
  3. Why do both travel speed and launch timing affect the number of galaxies reached and the likelihood of two-way communication with Earth?

Key Points

  1. 1

    Dark energy and the cosmological event horizon impose a finite maximum reach on any expanding civilization, regardless of technological ambition.

  2. 2

    In comoving coordinates, the affectable universe is modeled as a sphere with radius about 16.5 billion light-years, corresponding to the cosmological event horizon distance.

  3. 3

    Ord’s estimates suggest the affectable region contains roughly 20 billion galaxies and about a sextillion stars, with maximal proliferation yielding ~10^20 occupied planets and up to ~10^30 human descendants at any one time.

  4. 4

    Delaying expansion shrinks what remains reachable: about 3 galaxies per year fall permanently out of reach, and the era of isolation is expected to begin roughly a hundred billion years from now.

  5. 5

    Accessible volume scales strongly with travel speed: at half the speed of light, the radius halves and the volume drops to about one-eighth, though ~20% light speed still allows access to around a billion galaxies.

  6. 6

    Even if expansion is successful, two-way communication ends once outposts cross each other’s event horizons; message-exchange counts depend on average travel speed.

  7. 7

    The ultimately observable universe can be much larger than the affectable universe, but causally disconnected regions can’t share discoveries or coordinate as a single cosmic civilization.

Highlights

The cosmological event horizon acts like a reverse black hole horizon: crossing outward is possible, but entering from outside is not, making some regions forever unreachable.
The maximum “affectable universe” is about 16.5 billion light-years in comoving radius, translating to tens of billions of galaxies under optimistic assumptions.
Waiting costs reachable territory quickly—about 3 galaxies per year—while the era of isolation is far in the future but inevitable.
At ~20% of light speed, many regions can still exchange multiple messages with Earth; near-light-speed expansion leaves most settlers without any return communication.
Even if future humans can observe nearly 160 billion light-years across, causally disconnected outposts can’t communicate, preventing a unified cosmic civilization.

Topics

  • Cosmological Horizons
  • Intergalactic Travel
  • Affectable Universe
  • Era of Isolation
  • Two-Way Communication

Mentioned