Symmetry (hence Group) explains :
1. Conservation of Energy;
2. Conservation of Angular Momentum;
3. Periodic Table;
4. Laws of Thermodynamic.
Emmy Noether Theorem (1918): Conservation Laws owes to Symmetry :
1. In Linear motion
=> Conservation of Momentum
2. In Angular movement
=> Conservation of Angular Momentum
3. In Time
=> Conservation of Energy
Mathtuition88 