This paper addresses the issue of providing artificial intelligence (AI) models by the non-local semantics that reflects non-formalisable and weak formalisable aspects of human consciousness and unconsciousness. Emotions, feelings, thoughts, insights, and transcendental state of mind cannot be formalised. But these aspects have to be taken into account during decision-making and analytical conversations with AI support. Trying to represent the aspects using traditional cognitive architectures, logical ontology, knowledge base, and so on are finishing in a formalised way. The decision of the problem, in our opinion, can be carried out in an indirect way or taking into consideration the peculiarities of the structures of non-local effects in outside spaces such as cosmic spaces and quantum fields. For this, it requires to introduce the concepts of non-local cognitive semantics. The paper suggests the approach by which this idea can be implemented during modelling in advanced AI, or artificial general intelligence (AGI).