Computation as Ontology
– Agüera y Arcas   Life = self‑modifying computational phase of matter; evolution = matter discovering computation.
– Wolfram.  Universe is intrinsically computational; simple cellular‑automaton rules yield rich phenomena.
– Kurzweil.  Brain as hierarchical pattern recognizer; all reality reducible to information processes.
• Connection All three replace mechanistic physics with algorithmic process as reality’s bedrock.

Origins of Complexity
– Agüera y Arcas    Symbiogenesis + phase transitions (computronium) drive leaps in complexity.
– Wolfram      Principle of Computational Equivalence: simple rules already reach maximal complexity; complexity is everywhere.
– Kurzweil     Exponential curves (Law of Accelerating Returns) create step‑changes across biology and technology.
• Connection Phase‑transition spikes (Agüera y Arcas) echo Wolfram’s sudden rule complexity; Kurzweil’s curves parallel both.

Evolutionary Mechanisms
– Agüera y Arcas     Cooperation/fusion dominates; energy (ATP) constrains gene size.
– Wolfram     Evolution = exploration of rule space; biology is one instance, not privileged.
– Kurzweil   Competitive market forces accelerate tech evolution; selection pressures drive innovation.
• Connection Agüera y Arcas and Kurzweil keep selective narratives; Wolfram abstracts selection into rule search.

Mind and Intelligence
– Agüera y Arcas   Intelligence = prediction + influence within multi‑agent ecosystems; substrate‑neutral.
– Wolfram   Human‑level intelligence reachable by enumerating rules; Wolfram Language bridges symbolic models.
– Kurzweil   Pattern‑recognition hierarchy; reverse‑engineering cortex → AGI; human–AI convergence.
• Connection Kurzweil’s hierarchies complement Agüera y Arcas’ predictive models; Wolfram supplies formal tooling.

Human–AI Merger
– Agüera y Arcas    Forthcoming human–AI symbiogenesis; emphasis on cooperative governance & energy budgets.
– Kurzweil 2045    Singularity, mind uploading, neural‑nanotech implants.
– Wolfram       Cognitive extension via computational notebooks & symbolic infrastructure.
• Connection All foresee tight coupling; balance of radical (Kurzweil), cooperative (Agüera y Arcas), functional (Wolfram).

Ethics & Governance
– Agüera y Arcas.  Alignment through mutually beneficial incentives; AI as ecosystem participant.
– Kurzweil   Optimistic techno‑humanism; iterative risk mitigation.
– Wolfram   Ethics embedded in computable contracts; transparency via code.
• Connection Different risk tones, but all call for proactive, computation‑rooted governance.

Shared Ground (overlap)
• Computation as universal substrate.
• Complexity rises naturally—simple rules or selection pressures suffice.
• Human cognition is extendable through machines, implying eventual merge.

Key Differences (divergence)
• Agüera y Arcas centers on biological fusion; Wolfram abstracts biology; Kurzweil focuses on exponential tech growth.
• Risk posture: cautious symbiosis (Agüera y Arcas) vs optimistic inevitability (Kurzweil) vs neutral formalism (Wolfram).

Policy Implication (one‑liner)
Adopt Agüera y Arcas’ fusion lens, Wolfram’s rule‑transparency, and Kurzweil’s foresight curves to build symbiotic, accountable, anticipatory AI governance.