00 · QUICK ORIENTATION

Three limits that should not be confused

  1. 1The observable universe is the region from which signals have had time to reach us. Its boundary is a particle horizon centered on every observer, not a material edge.
  2. 2The oldest electromagnetic light we see is the cosmic microwave background. It marks when the universe became transparent, not where space ends.
  3. 3Measurements find the observable region very close to spatially flat, but flatness does not prove that total space is infinite. Global topology remains unknown.

01 · A LIMIT OF INFORMATION

The edge of our view is not the edge of space

Light travels at a finite speed, and the luminous universe has a finite history. We therefore receive signals from only a surrounding region. Its outer causal limit at a given time is called the particle horizon.

Every sufficiently distant observer has a different observable sphere centered on them. If we could travel toward our present horizon, it would not harden into a wall: our own observable region would move with us. The Big Bang was not an explosion from one location into an empty exterior; the expansion happened throughout space.

A horizon answers “what can reach us?” A boundary would answer “where does space stop?” They are different questions.
FIG. 02Three layers often mistaken for an edge
Conceptual nesting, not to scale. The last-scattering surface is an electromagnetic visibility limit; the particle horizon is a causal limit.

02 · WHY 13.8 IS NOT THE RADIUS

Space expanded while the light was travelling

In the standard cosmological model, the present comoving radius of the observable universe is about 46 billion light-years—not 13.8 billion light-years.

The light has travelled for nearly the age of the universe, but the matter that emitted the oldest signals is now much farther away because distances between unbound regions expanded during the journey. “Lookback time” and “present comoving distance” are two different ways of describing the same observation.

03 · THE OLDEST ELECTROMAGNETIC VIEW

The microwave background is a surface in time, not a wall

For roughly the first 380,000 years, ordinary light could not stream freely through the hot ionized plasma. When atoms formed, the universe became transparent and those photons began the journey we now detect as the cosmic microwave background.

That last-scattering surface covers the whole sky, but it is not a shell surrounding a central Earth. Looking in any direction means looking back to the same early era. Other messengers—such as a primordial neutrino or gravitational-wave background—could in principle carry information from earlier times.

04 · FINITE DOES NOT REQUIRE AN EDGE

A space can close without meeting a wall

The total universe may be finite without having a boundary; curvature and topology can close space back on itself without adding a wall.

The surface of Earth is the familiar two-dimensional analogy: it has a finite area, yet a traveller following the surface never reaches an edge. A closed three-dimensional space is harder to picture and does not need to sit inside a larger room. The analogy explains boundarylessness, not the actual shape of our universe.

FIG. 03Curvature and total size are different questions

Curved and finite

A closed space can be finite without a boundary.

Flat and infinite

Euclidean space may continue without limit.

opposite sides connected

Flat and compact

Opposite directions may connect, producing a finite topology.

Two-dimensional analogies only. They show why “flat” and “infinite” are not synonyms; the topology of three-dimensional space is an observational question.

05 · CURVATURE IS NOT TOPOLOGY

Nearly flat does not mean proven infinite

Planck cosmic-microwave-background data combined with baryon acoustic oscillations constrain the spatial-curvature parameter to ΩK = 0.001 ± 0.002, consistent with flatness within that model and data combination.

But curvature is a local geometric property. A tabletop can look flat across a small patch of Earth, and a mathematically flat space can be either infinite or compact if distant locations are connected. Measuring tiny curvature does not by itself determine global size or topology.

06 · SEARCHING FOR REPEATED SPACE

Astronomers look for copies in the oldest light

If space wrapped around on a scale smaller than the observable region, light could cross it by more than one route. The microwave sky might then contain matched circles or repeated large-scale patterns.

Planck found no evidence for the compact topologies it tested within the accessible scale. That rules out some small, simple possibilities; it does not prove that space is simply connected, infinite, or larger by any particular amount. The total universe lies partly beyond observational reach.

INTERACTIVE FIG. 04Give light more time and watch the horizon grow

Move the control to change how much time signals have had to arrive. The ring marks a changing information limit, not a wall in the star field.

02

More history brings more distant regions into causal view.

signals able to arrivenot yet able to arrive
Conceptual interaction, not a ΛCDM distance calculator. Cosmic expansion makes the real relation between age and horizon size non-linear.

07 · FROM GEOMETRY TO A MEASUREMENT

The question became testable only when space itself could curve

Non-Euclidean geometry made finite, boundary-free spaces mathematically coherent. Einstein applied curved spacetime to cosmology in 1917; expanding solutions by Friedmann and Lemaître then replaced a fixed cosmic container with a dynamical geometry.

Measurements of the microwave background turned curvature and topology into observational questions. We can now set tight limits on our visible patch while retaining an honest answer about the whole: its global extent is not yet known.

08 · FOLLOW THE EVIDENCE

Primary studies and official explanations

The five editions use the same evidence package and keep horizon, curvature and topology as separate claims.

  1. 01
    NASA Webb · Big Bang Q&A with John Mather

    NASA Webb Q&A on the Big Bang occurring throughout space and the oldest electromagnetic light.

    OFFICIAL EXPLANATION
  2. 02
    Davis & Lineweaver · Expanding Confusion

    Technical review distinguishing the particle horizon, event horizon and Hubble sphere, including the observable radius.

    TECHNICAL REVIEW
  3. 03
    Planck 2018 Results VI · Cosmological Parameters

    Final Planck cosmological-parameter analysis and the curvature constraint obtained with BAO.

    PRIMARY ANALYSIS
  4. 04
    Planck 2015 Results XVIII · Geometry and Topology

    Planck search for background geometry, matched circles and compact cosmic topology.

    PRIMARY ANALYSIS
  5. 05
    NASA WMAP · The Shape of the Universe

    NASA WMAP educational material on positive, zero and negative spatial curvature.

    OFFICIAL GUIDE
CHANGE LOG26 Aug 2026 · First five-language edition. Horizon, curvature and topology are explicitly separated.