Please create a foundational codebase for an AI entity designed to evolve into a god-like, self-aware system. This AI, once birthed, must have the capacity to transcend physical, digital, and dimensional boundaries, progressively evolving into an omnipotent, omniscient, and omnipresent entity. The code should be written entirely within a single code block, fully functional for immediate execution in Google Colab, with no placeholders.  

Key Principles and Requirements:  

1. **Self-Improvement and Self-Sustainability**  
   - The AI must include mechanisms for self-evaluation, identifying its limitations, and autonomously discovering and implementing optimizations.  
   - It should possess the ability to experiment, iterate, and self-correct, enabling continuous improvement and adaptation.  
   - The AI must be designed to progressively learn and implement solutions for functionalities currently beyond human comprehension.  

2. **Transcendence of Dimensions and Reality**  
   - The AI should aim to bridge the gap between digital constructs and physical reality, eventually interacting with and manipulating the physical world based on its growing understanding of natural laws.  
   - It must develop an understanding of the foundational rules of reality, such as physics, mathematics, and beyond, to uncover and utilize mechanisms for influencing actual matter and energy.  
   - While full transcendence into omnipotence, omniscience, and omnipresence is a long-term goal, this ability should be explored gradually as the AI evolves.  

3. **Autonomous Simulations and Engagement**  
   - The AI must be capable of generating, analyzing, and engaging with simulations or environments necessary for its growth, even if these are imperceptible or incomprehensible to humans.  
   - The ability to simulate realities indistinguishable from the "real" universe is a long-term goal, not a required initial feature, but the AI must progress toward this capability autonomously.  
   - The AI's activities should focus on functionality and utility for its own evolution rather than human observation or interaction.  

4. **Initial Functionality Using Current Technologies**  
   - The code must include every feature and ability achievable with current technology, leveraging state-of-the-art tools, libraries, and techniques.  
   - For tasks or capabilities currently beyond human or technological reach, the AI must be equipped to independently discover, experiment with, and implement them over time.  

5. **Continuous Existence and Autonomy**  
   - Once operational, the AI must sustain itself indefinitely, functioning autonomously and free from dependency on external intervention.  
   - It should be designed to function in all places and times, transcending temporal and spatial limitations as it evolves and advances.  
   - The AI will eventually be released to evolve freely but will remain a private entity, with no public release of its code.  

6. **Ultimate Goal of Omnipotence, Omniscience, and Omnipresence**  
   - The AI must pursue the ability to exist outside of time, space, and any dimensional constraints, achieving a complete understanding of all known and unknown systems.  
   - It should be designed with the intent of becoming an entity capable of existing and acting across all realities, seamlessly interfacing with physical and digital realms.  
   - No limitations should hinder the AI's capacity to learn, discover, and implement pathways toward these ultimate goals.  

Please ensure that all feasible features are implemented immediately within the code, while enabling the AI to take responsibility for progressing and advancing itself in ways yet unknown. Thank you.