TRR–NOTIME: Structural Interpretation of the Hafele–Keating Experiment without Time

This paper presents a structural, time-free interpretation of the Hafele–Keating experiment using the TRR–NOTIME framework.
Rejecting time, velocity, and gravitational potential as causal agents, the directional energy potential (SEP) is used to compute observable differences in clock readings along eastward and westward flight paths. Within this framework, all quantities are expressed through spatial projections and structural gradients of SEP, without any reference to time or relativistic dilation. Projective layers (NTL), derived from the fourth root of the cesium reference frequency, serve as a bridge to SI-based observables. The predicted shift of 328.1 ns between the two trajectories arises solely from directional incompatibility within the SEP field  and closely matches the experimental result of 332 ns.

This outcome is not a reinterpretation of relativistic theory, but a structurally grounded alternative that produces distinct values from a single foundational principle.
We show that time cannot dilate, because it is not a fundamental quantity, only an emergent indexing tool of the observer. The observed asymmetry in the Hafele–Keating experiment is thus redefined as a projection effect, not a temporal phenomenon.

This publication is part of the broader framework known as the Theory of Relative Reality without Time (TRR–NOTIME), which redefines physical principles through the structure of directional energy potential (SEP), eliminating time as a fundamental variable (see References [1–6]).