Russell argues that the material world we perceive is actually a construct of our subjective awareness, and that consciousness existed before the physical universe[1]. He suggests we all share a common field of awareness, which is why we can perceive the same objective reality[1].
Russell contends that the brain does not produce consciousness, but rather organizes and integrates matter that already has the potential for consciousness[1][2]. The brain constructs our subjective experience of reality, but this experience exists only in our awareness, not as an objective external world[2].
In his view, the fundamental nature of the cosmos is consciousness, and the apparent solidity of matter dissolves at the quantum level into patterns of information[2]. Russell proposes that consciousness is an inherent quality of life itself, and that the brain creates the images, thoughts, and feelings of which we are aware, but awareness itself is already present[1].
So in summary, Russell believes we perceive the same material world because consciousness is a fundamental property of the universe, not an emergent property of the brain. Our shared awareness allows us to construct a common subjective experience of reality.
Citations:
[1] https://www.stillnessspeaks.com/russell-anomaly-consciousness/
[2] https://scienceandnonduality.com/article/a-conscious-cosmos-with-peter-russell/
[3] https://www.peterrussell.com/Speaker/Talks/SoC99.php
[4] https://www.peterrussell.com/SCG/realityconsc.php
[5] https://www.youtube.com/watch?v=-d4ugppcRUE