Internal Self-Consistency and the Unquestionable External: An Ancient Greek-Style Logical Deduction of the Metrology of Time Field Theory (TFT)

Starting from the most primitive perception that "measurement is comparison", this paper rigorously deduces the core logical chain of the metrology of Time Field Theory (TFT) in the form of axioms, definitions, propositions and proofs. We prove that an absolute external benchmark is physically equivalent to non-existence; Newton placed the benchmark outside the system, making internal changes unable to explain one another; the measurement benchmark must originate from within the system and satisfy covariant invariance, namely flux conservation. As pure messengers, photons predict the constancy of the speed of light in vacuum. Finally, TFT clearly delineates the epistemological boundary: the external ruler is forever unknowable, and internal self-consistency is the only prerequisite for measurement to be valid. This deduction forms a deep resonance with Gödel's incompleteness theorems, revealing the honest boundary of scientific theories. As the philosophical foundation of TFT metrology, this paper constitutes the underlying logical starting point of the entire theoretical system.