Consider a hypothetical universe governed by one fundamental...

Prompt

Consider a hypothetical universe governed by one fundamental inversion of our own physics: in a closed system, entropy strictly decreases over time, driving systems spontaneously from disorder to order. However, the speed of light remains a strict, insurmountable limit for information transfer, and time still flows forward. Analyze the logical implications this inversion would have on the concepts of 'memory' and 'computation' in this universe. Constraints for your response: - Do not write a narrative, story, or code. - Do not invent historical events or specific fictional technologies. - Provide a rigorous, structured analytical breakdown of the logical dependencies. - Address how the relationships between time, information, and energy must be re-conceptualized under these constraints, and identify any logical paradoxes that arise. Demonstrate your reasoning step-by-step.