There is no single "correct" answer as the name should reflect the desired image and future of the unified state. Here are several options, categorized by approach:

Options emphasizing unity and peace:

• PeaceLand: Simple, direct, and conveys a hopeful message.
• United Canaan: References the historical and religious significance of the land.
• Land of Abraham: A unifying name referencing a common patriarch.
• Harmony State: Emphasizes the peaceful coexistence aspired to.
• Covenant Land: Suggests a binding agreement and shared future.
• Shalom State: Uses the Hebrew word for peace.
• Aman State: Uses the Arabic word for peace.
• The Two Rivers State: A geographical reference to the Jordan and other rivers.
• The Holy Land Union: A more formal and traditional-sounding name.

Options emphasizing a new beginning:

• New Canaan: Suggests a fresh start.
• Renaissance State: Implies a rebirth and renewal.
• The United Levant: A broader geographical reference, potentially including other territories.
• The Mediterranean Union: A geographical reference highlighting the region's location.

Options emphasizing specific cultural aspects (requiring more careful consideration of potential sensitivities):

• Names incorporating elements from both Hebrew and Arabic languages would require careful crafting to avoid unintended offense or misinterpretations. This would necessitate consultation with experts in both languages and cultures.

Options that are more abstract or symbolic:

• Aetheria: Evokes a sense of hope and a new beginning.
• Elysium: Suggests a paradise or ideal state.

The best choice will depend on the political and social context of the unification and the desired image projected to the world. It's crucial to consider the potential implications of each name and engage in broad consultation with representatives from both Palestinian and Israeli communities.