I hope this two definition of manifest will help
1 readily perceived by the senses and especially by the sense of sight Their sadness was manifest in their faces.
2 easily understood or recognized by the mind : obvious. manifest. verb. manifested; manifesting; manifests.
Hindus believe what they believe in the same way that all religious people do, regardless of the religion. A few people select their religion, but most are born into it. It's a part of the culture. It is blind faith.
Neutrons do not have any electric charge at all but are neutral - hence the name. Even the neutron's antimatter menifestation, the antineutron, is neutral.