Cyber-Physical Systems (CPS) controllers synthesized from standard
temporal logics rely on rigid global clocks, rendering them vulnerable
to asynchronous timing anomalies like clock snaps, jitter, and network
delays. To overcome these vulnerabilities, we introduce a
fundamentally timeless geometric control paradigm alongside a novel
specification language: Weighted Event-Based Signal Temporal Logic
(weSTL+). This new weSTL+ logic combines the event triggered nature of
Event-STL with weighted user preferences of weighted-STL making it
suitable for specification of practical autonomous CPS. Using a
two-pass compiler, our framework translates weSTL+ formulae directly
into C^1-differentiable time-invariant geometric surrogate
constraints via finite-time level-set inversion. By mapping temporal
windows directly into physical time independent geometric boundaries,
this approach entirely eliminates explicit runtime clock monitoring.
Our autonomous robotics case study demonstrates that the proposed
geometric architecture guarantees enforcement of safety and liveness
under severe macroscopic timing discontinuities, succeeding where
traditional time-indexed controllers fail.