Entropic Time Unified Physical Framework (τUPF)

This preprint consolidates the Entropic Time Unified Physical Framework (τUPF). This version ties the work together following the July 2025 update. Some proofs and applications are still being tightened; any defects identified by tests or review will be corrected in subsequent versions, with a transparent changelog. Not yet peer-reviewed; subject to revision. The companion book, 'Entropic Time Unified Physical Framework: The Saga of τ' (Kindle Edition: ASIN: B0GCP5ZSR5), is now available. The book develops the narrative, motivation, and broader implications that cannot be included in a technical appendix. Once community feedback is received, “live updates” will follow on the Kindle version; the process from which the first printed edition will be prepared. Readers are warmly invited to share constructive criticism—what works well, what does not, and where the arguments or derivations can be sharpened. Where feedback leads to substantial improvements, contributors may be acknowledged in the book (in the relevant section or footnote) and, where it affects the mathematics of the framework, credited as contributors in future versions of this preprint.https://www.tauupf.space/https://www.amazon.com/dp/B0GCP5ZSR5