Randomness and Radioactivity

Radioactivity:

Is the decay constant really constant 

Exotic physics and decay constant 

Exponential decay 

1. Properties of radioactive decay:  spontaneous ( unaffected by external factors)    random   (can not predict when and which one) 

2. Half life        Amount of undecayed atoms     N = N0 * 0.5 ^(t / T1/2)       Amount of decayed atoms

3. Derivation of exponential decay law      Decay constant & half life        Decay constant as probability per unit time      

4. Rate of decay       A(t) = (lambda) * N(t)     Initial rate          Equations  for activity       A = A0 * 0.5 ^(t / T1/2)       A = ln(2) * (N / T 1/2)

5. Radioactive dating by Geiger counter     Age = T1/2 * ln (A0/A)  / ln 2     Radioactive dating by mass spectrometer      Age = T1/2 * ln (N0/N)  / ln 2

**Poisson statistics

**There are different types of randomness

Apparent randomness (deterministic physics but huge complexity)

Chaos (deterministic physics but huge sensitivity to the initial conditions)

True randomness (non - deterministic physics)