Course Fundamentals of special relativity
Time dilation, length contraction and space-time diagrams.
Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.
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Related Illustrations
One-dimensional and two-dimensional spacetime diagram Worldline of a photon in a Minkowski diagram 6 worldlines of bodies with different velocities in a Minkowski diagram 7 different worldlines in a Minkowski diagram Two Spaceships Flying Away from Each Other in a Minkowski Diagram Equilocal events on parallels to the time axis in the Minkowski diagram Simultaneous events on parallels to the spatial axis in the Minkowski diagram Three different world surfaces in a Minkowski diagram World Lines Forming Different Time Axes in Minkowski Diagram Construction of the Spatial Axis for a Moving Reference Frame in a Minkowski Diagram Light Rectangle in a Minkowski Diagram Angles Between the Spatial and Temporal Axes in a Minkowski Diagram Unit Hyperbola for Equal Time Points of Different Observers in a Minkowski Diagram Time Dilation for the Observer at Rest in a Minkowski Diagram Time Dilation for Moving Observer in a Minkowski Diagram Length Contraction from the Point of View of an Observer at Rest in the Minkowski Diagram Length Contraction for the Moving Observer in a Minkowski Diagram Light Cone at the Origin in a Spacetime Diagram Lightlike, Timelike and Spacelike Events in a Spacetime Diagram Lorentz Transformation for Time in a Minkowski Diagram - 2
Related formulas
Formula $$ \gamma ~=~ \frac{1}{\sqrt{1 ~-~ \frac{v^2}{c^2}}} $$Gamma Factor (Lorentz Term)
Formula $$ \Delta t' ~=~ \frac{1}{ \sqrt{1 ~-~ \frac{v^2}{c^2}} } \, \Delta t $$Time Dilation (Proper Time, Velocity)
Formula $$ \Delta x' ~=~ \sqrt{1 ~-~ \frac{\class{blue}{v}^2}{c^2}} \, \Delta x $$Length Contraction (Length, Velocity)
Formula $$ u ~=~ \frac{u' + \class{blue}{v} }{ 1 ~+~ \frac{u' \, \class{blue}{v} }{ c^2 } } $$Relativistic Velocity Addition
Formula $$ W ~=~ \sqrt{W_{0}^2 ~+~ (p \, c)^2} $$Relativistic Energy-Momentum Relation
Formula $$ \class{brown}{\Delta m} ~=~ Z \, \class{brown}{m_{\text p}} ~+~ N \, \class{brown}{m_{\text n}} ~-~ \class{brown}{m} $$Mass Defect
Formula $$ W ~=~ \class{brown}{\Delta m} \, c^2 $$Mass Defect (Binding Energy)
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Related Illustrations