Type Ia supernova
Definition: A thermonuclear stellar explosion used as a distance indicator after empirical standardization.
Why it matters here: It is required to answer How does a light curve become a distance indicator? and to distinguish direct observation from cosmological inference.
Relationships: Read it with Standardizable candle, the model \(mu = m_B - M_B = 5 log_10(D_L/Mpc)+25\), and the evidence statement Pantheon+SH0ES provides 1701 light curves for 1550 supernovae; the teaching excerpt has 18 non-calibrator rows stratified in redshift and a matched covariance submatrix.
Boundary or common confusion: The excerpt is deliberately not representative and cannot reproduce a published cosmological constraint. Its diagonal errors are plotting-only.
Standardizable candle
Definition: An object whose intrinsic luminosity scatter is reduced using measured correlations rather than assumed identical luminosity.
Why it matters here: It is required to answer How does a light curve become a distance indicator? and to distinguish direct observation from cosmological inference.
Relationships: Read it with Distance modulus, the model \(mu = m_B - M_B = 5 log_10(D_L/Mpc)+25\), and the evidence statement Pantheon+SH0ES provides 1701 light curves for 1550 supernovae; the teaching excerpt has 18 non-calibrator rows stratified in redshift and a matched covariance submatrix.
Boundary or common confusion: The excerpt is deliberately not representative and cannot reproduce a published cosmological constraint. Its diagonal errors are plotting-only.
Distance modulus
Definition: The logarithmic difference between apparent and absolute magnitude.
Why it matters here: It is required to answer How does a light curve become a distance indicator? and to distinguish direct observation from cosmological inference.
Relationships: Read it with Light-curve stretch, the model \(mu = m_B - M_B = 5 log_10(D_L/Mpc)+25\), and the evidence statement Pantheon+SH0ES provides 1701 light curves for 1550 supernovae; the teaching excerpt has 18 non-calibrator rows stratified in redshift and a matched covariance submatrix.
Boundary or common confusion: The excerpt is deliberately not representative and cannot reproduce a published cosmological constraint. Its diagonal errors are plotting-only.
Light-curve stretch
Definition: A duration or shape parameter correlated with standardized Type Ia luminosity.
Why it matters here: It is required to answer How does a light curve become a distance indicator? and to distinguish direct observation from cosmological inference.
Relationships: Read it with Absolute calibration, the model \(mu = m_B - M_B = 5 log_10(D_L/Mpc)+25\), and the evidence statement Pantheon+SH0ES provides 1701 light curves for 1550 supernovae; the teaching excerpt has 18 non-calibrator rows stratified in redshift and a matched covariance submatrix.
Boundary or common confusion: The excerpt is deliberately not representative and cannot reproduce a published cosmological constraint. Its diagonal errors are plotting-only.
Absolute calibration
Definition: The external distance scale that fixes standardized absolute magnitude and the Hubble-diagram intercept.
Why it matters here: It is required to answer How does a light curve become a distance indicator? and to distinguish direct observation from cosmological inference.
Relationships: Read it with Type Ia supernova, the model \(mu = m_B - M_B = 5 log_10(D_L/Mpc)+25\), and the evidence statement Pantheon+SH0ES provides 1701 light curves for 1550 supernovae; the teaching excerpt has 18 non-calibrator rows stratified in redshift and a matched covariance submatrix.
Boundary or common confusion: The excerpt is deliberately not representative and cannot reproduce a published cosmological constraint. Its diagonal errors are plotting-only.