The concept of an "Index of the Day After Tomorrow Hot" doesn't directly relate to a widely recognized term or metric in environmental science, climatology, or meteorology as of my last update. However, interpreting this as a discussion about how hot it might be the day after tomorrow, we can explore the idea through the lens of weather forecasting and climate change.

Scientific Trigger: The film follows paleoclimatologist Jack Hall (Dennis Quaid), who discovers that global warming is melting polar ice caps at an alarming rate.

The Impact of Climate Change