Immanuel Kant`s theory of `perpetual peace` is a philosophical concept that focuses on achieving lasting peace among nations. It is important to understand the elements that contribute to this theory in order to identify which option does not form a part of it.

Option 1: Republican Constitutionalism refers to the idea that democratic republics are more inclined towards peaceful relations. This aligns with Kant`s theory, as he believed that nations governed by republican constitutionalism would be less likely to engage in war with each other. Therefore, option 1 does form a part of Kant`s theory.

Option 2: Federal contract among States to abolish war suggests the establishment of a mutual agreement among nations to eliminate war. This concept falls in line with Kant`s theory as he proposed the idea of nations entering into a federation to guarantee peace. Hence, option 2 also aligns with Kant`s theory.

Option 3: World Government is the correct answer because it does not form part of Kant`s theory of perpetual peace. Kant did not advocate for the establishment of a world government. Instead, his theory emphasized a federation of nations as a means to achieve lasting peace, rather than a centralized global governing body.

Option 4: Transformation of individual consciousness is a crucial aspect of Kant`s theory.