Yes, we know some general things but we don't know exactly how it will play out. In other words, we do not know about all the details you often ask about.
When I did the search about the lessor and
greater peace I found this also...
Unfoldment of World Civilization, The, interactive study guide
See also study guides for the other two documents:
And I also found this...
The time must come when the imperative necessity for the holding of a vast, an allembracing assemblage of men will be universally realized. The rulers and kings of the earth must needs attend it, and, participating in its deliberations, must consider such ways and means as will lay the foundations of the world's Great Peace amongst men…
In connection with this Great Peace, Shoghi Effendi writes:
A world community in which all economic barriers will have been permanently demolished and the interdependence of Capital and Labor definitely recognized; in which the clamor of religious fanaticism and strife will have been forever stilled; in which the flame of racial animosity will have been finally extinguished; in which a single code of international law -- the product of the considered judgment of the world's federated representatives -- shall have as its sanction the instant and coercive intervention of the combined forces of the federated units; and finally a world community in which the fury of a capricious and militant nationalism will have been transmuted into an abiding consciousness of world citizenship
The Most Great Peace, on the other hand, as conceived by Bahá'u’lláh -- a peace that must inevitably follow as the practical consequence of the spiritualization of the world and the fusion of all its races, creeds, classes and nations -- can rest on no other basis, and can be preserved through no other agency, except the divinely appointed ordinances that are implicit in the World Order that stands associated with His Holy Name.
A world federal system, ruling the whole earth and exercising unchallengeable authority over its unimaginably vast resources, blending and embodying the ideals of both the East and the West, liberated from the curse of war and its miseries, and bent on the exploitation of all the available sources of energy on the surface of the planet, a system in which Force is made the servant of Justice, whose life is sustained by its universal recognition of one God and by its allegiance to one common Revelation -- such is the goal towards which humanity, impelled by the unifying forces of life, is moving.”
"Universal" recognition of one God and "allegiance" to one common Revelation? Well that's an interesting thing to say. Not to mention "A world federal system, ruling the whole earth and exercising unchallengeable authority"?