IndisputableMonolith.Physics.RadioactiveDecayTypesFromConfigDim
Classifies radioactive decay channels by configuration-space dimension, tying the discrete menu of modes to the forced spatial dimension D = 3. Physicists working the RS mass and stability ladder would cite the certificate that the mode count is dimensionally fixed. The module is mostly type-level enumeration plus a thin certificate wrapper over Constants.
claimA finite type of radioactive decay modes together with a count of those modes, and a certificate asserting that this classification is forced by the configuration-space dimension (with $D = 3$ from the RS forcing chain). In RS-native units the time quantum is $\tau_0 = 1$ tick.
background
Recognition Science forces spatial dimension $D = 3$ at step T8 of the unified forcing chain, after the eight-tick octave (T7) and the golden-ratio fixed point $\phi$ (T6). Configuration dimension therefore is not a free parameter: it is an output of the same chain that fixes $J(x) = \cosh(\log x) - 1$ and the Recognition Composition Law.
This module sits in the Physics layer and imports only Mathlib and Constants. The upstream Constants module supplies the RS time quantum $\tau_0 = 1$ tick, the native clock against which decay lifetimes are later measured on the $\phi$-ladder.
Locally the module introduces a discrete type of decay modes, a numeric count of those modes, and a certificate record packaging the claim that the mode menu is fixed by configuration dimension rather than by phenomenological fitting.
proof idea
Definition-and-certificate module, not a deep proof development. It declares an inductive (or enumerated) type of decay modes, a definition giving their cardinality, a certificate structure bundling the dimensional claim, and a single inhabitant of that certificate. Any nontrivial content is deferred to the forcing of $D = 3$ upstream; here the work is bookkeeping and interface.
why it matters in Recognition Science
Gives the Physics layer a named, citable handle for "decay types come from config dimension" so later mass-ladder and stability results can depend on a single certificate rather than re-deriving the mode list. No downstream consumers are wired yet in the graph, so this is an interface stake in the ground: parent theorems on nuclear stability, branching ratios, or $\phi$-ladder lifetimes are expected to import the certificate once those developments land. Ties directly to landmark T8 ($D = 3$) and to the RS-native tick $\tau_0$ from Constants.
scope and limits
- Does not derive half-lives, branching ratios, or selection rules.
- Does not prove D = 3; that is assumed from the forcing chain.
- Does not connect modes to the phi-ladder mass formula or gap terms.
- Does not model continuum spectra or multi-body final states.
- Does not yet feed any recorded downstream theorem.