The reason consciousness ceaselessly explores possibilities may be rooted in mathematics. A system cannot fully model itself, creating an infinite loop of self-discovery. Furthermore, Cantor's discovery of an infinite hierarchy of ever-larger infinities means the potential space for exploration is fundamentally unending.
In humans, learning a new skill is a highly conscious process that becomes unconscious once mastered. This suggests a link between learning and consciousness. The error signals and reward functions in machine learning could be computational analogues to the valenced experiences (pain/pleasure) that drive biological learning.
Our current computation, based on Turing machines, is limited to "computable functions." However, mathematics shows this set is a smaller, countable infinity compared to the vast, larger infinity of non-computable functions. This implies our current simulations barely scratch the surface of what is mathematically possible.
Consciousness isn't an emergent property of computation. Instead, physical systems like brains—or potentially AI—act as interfaces. Creating a conscious AI isn't about birthing a new awareness from silicon, but about engineering a system that opens a new "portal" into the fundamental network of conscious agents that already exists outside spacetime.
The simulation of space-time and its physical laws are not arbitrary; they are essential constraints. These rules create the context required for consciousness to explore its possibilities and for subjective experiences (qualia) to become meaningful. Without limitations, there is no context for feeling.
Physicists are finding structures beyond spacetime (e.g., amplituhedra) defined by permutations. Hoffman's theory posits these structures are the statistical, long-term behavior of a vast network of conscious agents. Physics and consciousness research are unknowingly meeting in the middle, describing the same underlying reality from opposite directions.
If any civilization can create a convincing simulation, and those simulations can create their own simulations, the number of simulated realities would vastly outnumber the single "base reality." This makes it statistically probable that we are living inside one of the countless nested simulations rather than the original one.
The process of an AI like Stable Diffusion creating a coherent image by finding patterns within a vast possibility space of random noise serves as a powerful analogy. It illustrates how consciousness might render a structured reality by selecting and solidifying possibilities from an infinite field of potential experiences.
Since math describes the structure of consciousness, and Gödel's theorem proves math is infinitely explorable, consciousness itself must be engaged in a never-ending exploration of its own possibilities. This provides a fundamental "why" for existence, replacing biological drives that only exist within our perceptual "headset."
A novel answer to the Fermi Paradox (why we haven't met aliens) is that any sufficiently advanced civilization inevitably finds creating infinite, engaging virtual worlds more compelling and energy-efficient than interstellar travel. AI is the technology that will lead humanity down this same path of virtual exploration.
Hoffman's model proposes that consciousness is not a product of the physical brain within space-time. Instead, consciousness is the fundamental building block of all existence, and space-time itself is an emergent phenomenon—a "headset" or user interface—that is created by and within consciousness.