A.5.5 (HL)—Two postulates of special relativity
- Syllabus
- First assessment 2025
- Objective
- —
- Level
- HL
Postulate 1: relativity
The laws of physics have the same form in all inertial reference frames. No inertial observer is privileged by uniform motion; an experiment performed entirely within a frame cannot reveal its constant velocity relative to another inertial frame.
Postulate 2: invariant light speed
Every inertial observer measures the same speed of light in vacuum, c, independent of the motion of the source or observer. This replaces the Galilean expectation that measured velocities simply add.
Use the consequence
Together, the postulates require space and time coordinates to transform differently from the Galilean model. They lead to Lorentz transformations, time dilation, length contraction and relativity of simultaneity. The syllabus does not require deriving those equations.
Common trap
The second postulate does not say that every object moves at c, or that light speed is the same in every material. It refers to light in vacuum measured by inertial observers.
The objective is assessed through short explanation or consequence questions in relativistic settings. Identify which postulate supplies the frame argument and which supplies the constant-light-speed argument before explaining the consequence.
State / Explain
State both postulates separately. For the first, name all inertial frames and the same form of the laws of physics. For the second, state that all inertial observers measure the same vacuum light speed c, independent of source or observer motion. Do not replace either statement with a consequence such as time dilation.
Giving only “nothing can travel faster than light” and omitting the two postulates or the condition of inertial observers.
Representative question
Explain, by reference to the equivalence principle, why the frequency of the photon measured at B will be larger than f0.
according to the EP the tower is equivalent to a frame accelerating away from Earth «with a=g »
an observer at B approaches the source of light
and so by the Doppler effect must measure a higher frequency
Marking guidance:
Award [1] for correct explanation without principle of equivalence,