Step 1: Identify the nature of electromagnetic waves.
Electromagnetic waves include gamma rays, X-rays, and cosmic rays. However, \( \beta \)-rays are not electromagnetic waves; they are high-energy electrons emitted from radioactive decay.
Step 2: Conclusion.
Thus, \( \beta \)-rays are not electromagnetic waves.
Final Answer:
\[
\boxed{\beta \text{-rays}}
\]