Psychosphere, simply put, it is the sphere of human thought. But since thought for most implies conscious thinking only, it would be better to say a sphere of human consciousness. Imagine a biosphere, only instead of it being the global sum of ecosystems, the psychosphere is the sum of subtle fields of thought. And unlike the noosphere, which is the sphere of direct human thought, the psychosphere could more easily be imagined as a sphere of human emotion, or general consciousness, instead of specific thoughts.
It is also why, unlike the Noosphere, a psychosphere can have a distinct “flavour” in an area where one specific emotional state is prevalent. Allow me to give a few examples as to what I mean.
If you have a rural area of 200 people where there’s a serial killer, the people there can live an existence where the most prevalent emotion is that of subconscious fear. This can be imprinted in the psychosphere of that area.
Houses and a family can have its own psychophere.
An event, such as an outdoor concert, can endow an area with its own psychospheric state.
A meditative group can incept its own state into an already existent psychopshere. As shown by experiments like this.
There is some work being done on this, a rather strange project being one of these works. It is run online and spread over an egg network, called The Global Consciousness Project. The first paragraph is indeed promising and their pages show interesting data for those who are willing to figure out what all the numbers mean (it’s not that hard):

It’s interesting how this kind of phenomena still resides in the sphere of pseudo-psychology. Collective Consciousness, Noosphere, and even the Collective Unconscious, all of these seem intrinsicly real, yet still remain outside science, simply because we have not yet found an apparatus that could detect them outside the human brain.
Fascinating that we have become a species which places more trust in the results produced by machines than those of the human mind when it comes to fields of thought. We even build machines to understand consciousness.
Also, what I mean by intrinsic reality is simply this: in deeper states of meditation and/or under the administration of certain psychotropic drugs, we can and will undeniably feel the presence and hard reality of this psychosphere. It can also happen quite spontaneously, and one does not need to attain a deep state of meditation or higher consciousness to become suddenly aware of this sphere and one’s total immersion and inseparability from it. This experience, which can also be described as the experience of universal unity, cosmic consciousness, or in a slightly milder case/form, an Oceanic Experience, or even Satori, Samadhi, or a direct experience of God, has remained a constant throughout the ages, yet such (relatively)* subjective experiences yet remain in the realm of pseudo science or pseudo psychology.
via:
http://www.kzfreeman.com/2014/03/psychosphere.html
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