Noetherianity usually means that ascending chains of ideals eventually stop. For an FI-algebra there are two scales to keep apart. At any one finite set, we see an ordinary commutative algebra. Across all finite sets and injections, we see an entire compatible system. This anonymous candidate separates those scales. In width r it introduces a monomial with r minus one light variables and one peak variable whose exponent is r factorial. At every fixed width n there are only finitely many such translated generators, so the component is an affine, finitely presented Noetherian algebra. But a genuinely new generator orbit appears at every larger width. The proof shows that the width-R spike cannot be assembled from smaller spikes: matching its light variables would use at most R minus one factors, while their total peak exponent is at most R minus one times R minus one factorial, strictly less than R factorial. The FI-ideals generated through successive widths therefore form a strict infinite ascending chain. The argument uses only monomials and integer exponents, so it works over every field. The regular module over the constructed algebra gives one carefully limited finitely presented-module consequence, but the construction is not finitely generated as an FI-algebra and it does not give a non-free module or a module counterexample over the original polynomial FI-algebra. This is release 0.1.0-candidate, dated 31 August 2026. It is anonymous and unrefereed. This AI-generated voice is a communication aid, not additional mathematical evidence.