VDR in Physical Computation: Exact Arithmetic Where It Matters

This paper demonstrates VDR exact arithmetic applied to physical computation. It is not a physics paper — it does not derive new physical results. It shows that computations physicists perform routinely, which accumulate floating-point error and require careful numerical management, produce exact results when performed in VDR arithmetic. Every computation here uses the VDR system described in VDR-13: the V, D, R triple where V and D are integers and R is a first-class Remainder value, the Q335 basis of 22 transcendental constants as integers over 2³³⁵, Gaussian elimination for linear algebra, complex pairs for quantum mechanics and signal processing, and functional remainders for transcendental functions. References: VDR-13 (complete system specification), VDR-1 (core axioms), MATH-4 (Q335 basis).