Scale Factor a(t)
Hubble's Law & Galaxy Recession
Balloon Analogy
Redshift Observation
Hubble Diagram
Universe Composition
Expansion Stages
Future Fate of Universe
Controls
Cosmological Parameters
Visualization Controls
Presets
Universe Expansion Equations
What is Universe Expansion?
Universe expansion is the increase in distance between any two points in the universe over time. First discovered by Edwin Hubble in 1929, this expansion means that galaxies are moving away from each other, with more distant galaxies receding faster. The expansion is not galaxies moving through space, but space itself expanding, carrying galaxies along with it.
Hubble's Law & Galaxy Recession
Linear Relationship: Hubble's law states that the recessional velocity v of a galaxy is proportional to its proper distance d: v = H₀·d, where H₀ is the Hubble constant (~70 km/s/Mpc).
Discovery: Edwin Hubble observed that distant galaxies have redshifted spectra, indicating they are moving away from us, and the redshift increases with distance.
Implications: This relationship suggests the universe is expanding uniformly in all directions, with no center to the expansion.
Measurement: The Hubble constant is measured using standard candles like Cepheid variables and Type Ia supernovae.
Scale Factor a(t)
Scale Factor a(t): Describes how the universe's size changes over time relative to today (a₀ = 1). In the past, a < 1; in the future, a > 1.
Redshift z: Light wavelength stretches as space expands: 1 + z = 1/a. A redshift of z = 1 means the universe was half its current size when light was emitted.
Observational Evidence: Redshifts of distant galaxies and the cosmic microwave background provide direct evidence for expansion.
Lookback Time: Observing distant objects is looking back in time. We see the universe as it was when light was emitted.
Universe Composition
Dark Energy (~68%): Mysterious energy causing accelerated expansion. Discovered in 1998 from distant supernovae.
Dark Matter (~27%): Invisible matter affecting galaxy rotation and structure formation. Detected only through gravity.
Ordinary Matter (~5%): All atoms, stars, galaxies, gas, and dust we can observe. Most of the universe is invisible!
Radiation (<0.1%): Photons and neutrinos, dominant in the early universe but negligible now.
Expansion Stages
Inflation (10⁻³⁶ to 10⁻³² s): Exponential expansion by factor of ~10²⁶, solving horizon and flatness problems.
Radiation Era (up to 47,000 years): Universe hot and opaque; radiation dominates energy density.
Matter Era (47,000 years to ~9 billion years): Matter dominates; first atoms form, then stars and galaxies.
Dark Energy Era (~9 billion years to present): Dark energy causes accelerated expansion, galaxy formation slows.
Future Fate of Universe
Big Freeze (Heat Death): Most likely scenario. Universe continues expanding forever, galaxies drift apart, stars burn out, entropy maximizes. The universe becomes cold, dark, and empty.
Big Rip: If dark energy strengthens (phantom energy), expansion accelerates until galaxies, stars, atoms, and finally spacetime itself are torn apart.
Big Crunch: If matter dominates, expansion could reverse, universe collapses back to a singularity. Unlikely given observed accelerated expansion.
Big Bounce: Cyclic model where crunch leads to new big bang. Speculative but theoretically possible.
Common Misconceptions
Center of Expansion: The universe has no center. Every point sees galaxies receding as if it were the center. Expansion happens everywhere simultaneously.
Explosion from Point: The Big Bang was not an explosion in space but an expansion of space itself. Space was created in the Big Bang.
Galaxies Moving: Galaxies don't move through space faster than light; space between them expands. Special relativity's speed limit applies to motion through space, not space expansion.
Observable Universe: We can only see the observable universe (radius ~46.5 billion light-years). The entire universe may be infinite or much larger than what we can see.
Historical Context
1915-1929: Einstein's general relativity allowed for expanding universe, but he added cosmological constant for static model. Lemaitre and Friedmann proposed expanding solutions.
1929: Edwin Hubble discovered recession velocities proportional to distance, providing first evidence for expansion.
1965: Penzias and Wilson discovered cosmic microwave background, confirming Big Bang theory.
1980: Guth proposed inflation theory to solve problems with Big Bang cosmology.
1998: Two teams discovered accelerated expansion using Type Ia supernovae, revealing dark energy.
2000s-Present: Precision cosmology from WMAP, Planck, and other missions has measured cosmological parameters to percent accuracy.