hbar_value_pos

The module is the sixth single-constant maximal-forcing instantiation: the RS-native action quantum in the gauge $\lambda_{\mathrm{rec}} = c = 1$, $\mathrm{tick} = \tau_0$. Realization carriers are candidate reals $h$; the loose class admits every real, while the gate class pins $h$ to the RS value. The claim under closure is $h = \varphi^{-5}$.

Upstream, Constants records the native identity (THEOREM C-004.1): $\hbar = E_{\mathrm{coh}}\cdot\tau_0 = \varphi^{-5}\cdot 1 = \varphi^{-5}$, proved by unfolding the definitions $c_{\mathrm{LagLock}} = \varphi^{-5}$ and $\tau_0 = 1$. Separately, $\hbar > 0$ follows from positivity of the coherence lag and the unit tick (THEOREM C-004.2). The exponent $5 = D+2$ is the forced configuration content; the equality itself is the native unit choice, not an SI derivation of Planck's constant.

One-line term proof. Rewrite the goal $0 < \varphi^{-5}$ via the reverse of hbar_eq_phi_inv_fifth to obtain $0 < \hbar$, then discharge by hbar_pos (product of the two positive factors defining $\hbar$). No further arithmetic is needed.

Feeds hbar_independent_over_Lhbar0, which shows the value claim is independent over the loose class: the RS action quantum satisfies $h = \varphi^{-5}$ while $0$ does not, and positivity is exactly the witness that zero fails. Together with the gravity surface $\kappa = 8\varphi^5$ and the $\alpha$ window, this completes the trio of native $\varphi$-expression surfaces (action normalization, gravitational coupling, electromagnetic coupling). It sits at the native action-normalization boundary of the forcing chain, not as a derivation of the SI value of $\hbar$. Landmark contact: RS-native constants with $\hbar = \varphi^{-5}$.