Philip Goff deals with the philosophy of mind and consciousness, and is an advocate of panpsychism.

Panpsychism is a view that consciousness is a fundamental and ubiquitous feature of the physical world. That it goes “all the way down”, to the very basic building blocks of reality.

It does not say that everything is conscious in the anthropomorphic sense. Chairs and tables don’t feel happiness or anger or existential dread. It defines consciousness not as “awareness of one’s existence”, but merely as “subjective experience”. As we go down from humans to animals to plants to atoms and particles, the consciousness becomes more and more basic, and the experience becomes less sophisticated. But yet, bats know what it’s like to use echolocation, and humans never will.

Panpsychism claims that consciousness is part of the physical world, but a separate part. Matter describes what stuff does, while consciousness describes what stuff is. Some other views state that:

• Consciousness can be completely explained in the terms of physical science (e.g. electrochemical signals in the brain), we just still haven’t figured out how. This view is known as materialism.
• Consciousness is non-material, completely separate, outside of physical workings of the body and the brain. This view is known as dualism.

Panpsychism is the best of both worlds - consciousness is indeed part of the material world, in fact a very fundamental one, present in all matter. But our current mathematical formulations and models do not account for that fact, therefore we cannot hope to explain consciousness using the current quantitative approach used in science and math.

In other words, panpsychism does not advocate for some voodoo magic that opposes science. On the contrary, it accepts (as it should) everything that science has discovered so far. But it claims that we left out one very important and fundamental part of reality, and we need to go back to the drawing board. Galileo Galilei is credited with making science completely mathematical, which required separating qualitative subjective experience and putting it aside. Science can describe a color in terms of its hue/saturation/etc, or its wavelength, but it cannot capture what it feels like to experience a red sunset. Panspsychism wants to bring consciousness back into the story and include it in the mathematical model of the world. And it invites science to collaborate with philosophy in order to figure that out.