Recognition Architecture (Integrated)
From Dimensionless Proof to a Single Empirical Test
Recognition Science, Recognition Physics Institute — Austin, Texas, USA
Summary
A complete, parameter‑free recognition architecture is presented with a strictly dimensionless proof layer and a single operational display layer. A fixed Reality Bridge maps dimensionless invariants to SI without offsets or fitting, audited by layered gates that enforce independence and non‑circularity. No sector models, priors, thresholds, or knobs are introduced.
Abstract
This paper presents a complete, parameter-free recognition architecture whose proof layer is strictly dimensionless and whose empirical layer is reduced to a small set of layered falsifiability gates. The proof layer fixes the unique symmetric multiplicative cost \(J(x)=\tfrac{1}{2}(x+x^{-1})-1\) with log-axis form \(J(e^{t})=\cosh t-1\), the golden‑ratio fixed point \(\varphi\) from \(x=1+1/x\) (gap \(\ln\varphi\)), and the minimal eight‑tick cycle induced by three spatial parities. Word length and ledger cost are linearly isomorphic, yielding rigid, knobless invariants used downstream.
A Reality Bridge maps these invariants to SI without introducing offsets or fits: \(J\mapsto S/\hbar\) (identity display), the recognition tick \(\tau_{\mathrm{rec}}=\dfrac{2\pi}{8\ln\varphi}\,\tau_{0}\), and the kinematic hop length \(\lambda_{\mathrm{kin}}=c\,\tau_{\mathrm{rec}}\) with \(c=\ell_{0}/\tau_{0}\). Two independent SI landings—time‑first and length‑first—are audited by layered gates: (P) a Planck‑side comparison of \(\lambda_{\mathrm{kin}}\) vs. \(\lambda_{\mathrm{rec}}=\sqrt{\hbar G/(\pi c^{3})}\); (IR) a coherence gate \(\hbar\overset{?}{=}E_{\rm coh}\,\tau_0\); and (C) a dimensionless identity \((c^{3}\lambda_{\rm rec}^{2})/(\hbar G)=1/\pi\). Each gate is evaluated within its layer; cross‑layer mixing is disallowed.
Key Points
- Dimensionless proof layer fixes a unique symmetric multiplicative cost \(J\) and an eight‑tick cadence with golden‑ratio gap.
- Word length and ledger cost are linearly isomorphic, yielding rigid, knobless invariants.
- Reality Bridge provides SI displays with no offsets or fits: \(S/\hbar=J\), \(\tau_{\mathrm{rec}}/\tau_0=2\pi/(8\ln\varphi)\), and \(\lambda_{\mathrm{kin}}=c\,\tau_{\mathrm{rec}}\).
- Layered gates (Planck, coherence, and identity) define a single pass/fail audit without regression or tuning.