
die Hoheit
sovereignty
The highest, sovereign power of a state over its territory and its affairs; sovereignty.
Der Staat besitzt die alleinige Hoheit über die Gesetzgebung.
The state has sole sovereignty over legislation.
sovereignty / highness
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sovereignty
The highest, sovereign power of a state over its territory and its affairs; sovereignty.
Der Staat besitzt die alleinige Hoheit über die Gesetzgebung.
The state has sole sovereignty over legislation.

Highness
A formal form of address for high-ranking members of the nobility, such as princes or princesses.
Ihre Königliche Hoheit, die Prinzessin, wird die Veranstaltung eröffnen.
Her Royal Highness, the princess, will open the event.

majesty / dignity
An elevated, majestic, or dignified aura.
Die stille Hoheit der schneebedeckten Berge beeindruckte die Wanderer tief.
The quiet majesty of the snow-covered mountains deeply impressed the hikers.
'Die Hoheit' (sovereignty / highness) is derived from the adjective 'hoch' (high). It describes the quality of being 'hoch' (high)—whether in relation to power, rank, or aura.
Die Hoheit des Amtes verlangt absolute Neutralität.
The dignity of the office demands absolute neutrality.
In the meaning 'Souveränität' (sovereignty), the word is often used with 'über' (+ accusative). Typical phrases are 'die Hoheit über etwas haben' (to have sovereignty over something) or 'die Hoheit ausüben' (to exercise sovereignty). It also forms compounds such as 'Lufthoheit' (air supremacy) or 'Datenhoheit' (data sovereignty).
Jeder Staat hat die Hoheit über sein eigenes Territorium.
Every state has sovereignty over its own territory.
As a form of address for nobles, 'Hoheit' (Highness) is almost always accompanied by a possessive pronoun such as 'Ihre' (Her/Your) or 'Seine' (His/Your). Often an adjective such as 'Königliche' (Royal) or 'Kaiserliche' (Imperial) also comes before it.
Seine Königliche Hoheit, der Prinz, wird um 15 Uhr erwartet.
His Royal Highness, the prince, is expected at 3 p.m.
In the meaning 'erhabene Ausstrahlung' (elevated aura), 'Hoheit' (majesty / dignity) is often used in a poetic or very descriptive context. It frequently describes the effect of nature, art, or architecture.
Die Wanderer bewunderten die stille Hoheit der Alpen.
The hikers admired the quiet majesty of the Alps.
majesty
Majestät and Hoheit are formal forms of address, but they apply to different ranks. Majestät is used for a monarch such as a king or queen, while Hoheit is used for high-ranking members of the nobility such as princes or princesses. The appropriate form of address therefore depends on the person's position.

Der Minister begrüßte die Prinzessin mit den Worten: „Eure Hoheit.“
The minister greeted the princess with the words, “Your Highness.”
Der Minister begrüßte die Königin mit den Worten: „Eure Majestät.“
The minister greeted the queen with the words, “Your Majesty.”