The digital renaissance of the 21st century has introduced us to several transformative technologies. Among them, Artificial Intelligence and blockchain stand as titans, each carving its own unique path in the tech world. When their trajectories intertwine, it's not just an intersection—it's an explosive fusion that has the potential to reimagine the tapestry of various industries. As we stand at the cusp of this innovation, it becomes imperative to delve deeper into the mosaic that AI and blockchain can together weave.

AI and Blockchain Evolution: Parallels and Intersections

Historically, both AI and blockchain have traced fascinating trajectories. While AI has for decades aimed to mimic and later augment human intelligence, blockchain was birthed from a need for decentralization and security, primarily showcased through cryptocurrencies. Now, when their worlds collide, they offer complementary strengths: the adaptability of AI and the unyielding security of blockchain.

Resonances and Disparities between AI and Blockchain

At a rudimentary level, AI learns and makes decisions based on data, while blockchain ensures this data remains untampered and decentralized. One offers the brains, and the other, the brawn. Yet, it's not just about marrying intelligence with security; it's about building systems that benefit from the dynamic feedback loop created by their combination.

Harnessing the AI-Blockchain Duo Across Industries

  • Finance: Machine learning algorithms making market predictions become more credible when their data sources are immutably recorded on a blockchain. The reduction of fraud, transparent financial transactions, and auto-executing smart contracts are but a few potential breakthroughs.

  • Healthcare: Picture a world where medical records are secure yet universally accessible by machines that can provide instant diagnostics. Decentralized research can further allow unprecedented collaboration in the medical field.

  • Energy: AI can forecast energy consumption patterns, while blockchain allows for decentralized energy transactions, reshaping how energy grids function.

  • Logistics: Track supply chains with indelible accuracy and optimize routes in real-time using AI-driven analytics, all recorded on an unalterable blockchain for posterity.

  • Education: From personalized AI-driven assessments to immutable blockchain-based certification, the landscape of education and its credibility are in for a rehaul.

  • Entertainment: AI-generated content gains a new dimension when combined with decentralized copyright platforms, and user-controlled streaming platforms can redefine entertainment consumption.

Challenges and Limitations of the AI-Blockchain Integration

The marriage isn't without its woes. Scalability remains a concern. The energy consumption of blockchain, especially Proof of Work systems, combined with AI's computational demands, can be immense. Regulatory ambiguities, especially in areas blending finance, personal data, and decentralized systems, also pose significant challenges.

Conclusion

The convergence of AI and blockchain is not just another tech trend—it's an evolutionary leap. As AI continues to grow smarter and blockchain more robust, the symbiotic relationship between these technologies will only deepen. While challenges exist, the future they're forging is undeniably filled with potential, and its blueprint is being drafted today.