How does the four-note motive unify Beethoven’s Fifth Symphony?

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symphony performing a concert — symphony Symphony performing a concert at Svetlanov Hall, Moscow International House of Music.

In Ludwig van Beethoven’s Symphony No. 5, the iconic four-note opening motif—three short Gs followed by a long E-flat—serves as the rhythmic and melodic anchor that unifies the entire symphony.1

Rather than remaining static, this "fate" motif permeates the work by appearing in various guises across all four movements:

First Movement: The motif drives the sonata-form structure, migrating through different sections of the orchestra, changing pitch centers, and shifting dynamic levels to convey moods ranging from foreboding to triumphant.1
Second Movement: The motif’s characteristic rhythm is prominently featured within the movement's second theme.1
Third Movement: The scherzo begins with a theme utilizing the "fate" rhythm, which later builds into a bold fugal climax.1
Fourth Movement: The finale incorporates the motif’s rhythm into its second theme, maintaining the work's structural cohesion until the high-energy coda.1

By weaving this foundational figure throughout the composition, Beethoven ensures that the motif remains the central thread connecting the symphony's diverse movements.1