supermundane

There was no spectral testimony in this case; outer senses of many persons had learned her supermundane powers.

Such a people were not very likely to mistake the pranks of their own children for things supermundane in origin.

The yogi must think himself to be this supermundane spiritual being.

You become a citizen of the selecter world, the highest we know of in connection with our old world, which is not supermundane.

Nor does calling this agency 'transcendent' or 'supermundane' make any substantial difference.