On the question of time, there is a growing consensus in physics that a good theory of space-time should reconcile the presentism of quantum mechanics with the eternalism of general relativity, through a model that preserves both the creativity of time and the presence of the future. In previous papers (Guillemant et al., 2018; Guillemant and Medale, 2019), we have proposed such a model through a flexible space-time requiring 6 extra dimensions, as an alternative to multiverse theories, based on the possibility of making it evolve locally in an atemporal way even if it is already realized in the future. In this paper we go further to show how a quantum gravitational consciousness should be involved in such an evolution process, involving the possibility for the brain to update the branches of space-time through the mechanisms of perception balanced by quantum gravity. This model also requires a double causality, allowing local changes in a timeline without changing its future, which should therefore exert its influence. We show that such an influence from the future could explain phenomena like intuition or serendipity, which would result from the necessity to switch timelines in the present in order to adapt to changes in the future. We finally describe a protocol to experiment this hypothesis, thus demonstrating that the flexibility of space-time is a testable theory.