Physics

Relativity and nuclear sketch

Time dilation, length contraction, decay, cross-section.

Basics

Special relativity

c is the same in every inertial frame. Moving clocks run slow; lengths contract along the motion. Simultaneity is relative. Energy and momentum join a four-vector.

Nuclear reactions

Conserved: nucleon number (approx.), charge, energy–momentum. Cross-section is how “big” a target looks. Chain reactions need neutron multiplication. Shielding is matter, distance, and time.

Formulas

Lorentz factor

γ = 1 / √(1 − v²/c²)

Δt = γ Δτ, L = L₀ / γ. γ grows as v approaches c.

Symbols

  • γ Lorentz factor

Relativistic energy

E² = (p c)² + (m c²)²

At rest E=mc². For light (m=0), E=pc.

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