Recognition Science Baryogenesis: A Parameter-Free Resolution of the Matter-Antimatter Asymmetry
Recognition Science, Recognition Physics Institute — Austin, Texas, USA
Summary
This work derives a parameter‑free baryogenesis mechanism from the Recognition Science (RS) framework. An RS curvature‑coupled pseudoscalar background with fixed, dimensionless couplings generates a baryon chemical potential during reheating, yielding a first‑pass prediction \( \eta_B \simeq 5.1\times10^{-10} \) consistent with CMB/BBN inferences. The same background predicts parity‑odd CMB \(TB/EB\) and a chiral GW spectrum with sign fixed by the eight‑tick orientation—providing crisp falsifiers. No tunable parameters are introduced; constants are audited via the RS→Classical bridge.
Abstract
Background. The observed baryon‑to‑photon ratio \( \eta_B \approx 6\times 10^{-10} \) requires efficient \(CP\) violation and a controlled departure from equilibrium; standard approaches typically add new parameters.
Methods. From RS—featuring an atomic tick, an eight‑tick cadence in \(D=3\), a unique convex cost \( J(x)=\tfrac12(x+x^{-1})-1 \), and nine ledger parities—we obtain a curvature‑coupled pseudoscalar background \( \chi \) with fixed strengths \( \lambda_{CP}=\varphi^{-7} \) and \( \kappa=\varphi^{-9} \). During reheating, \( \dot{\chi} \) sources \( \mu_B=(c_g/M)\dot{\chi} \) with \( c_g/M \) mapped to the recognition length \( \lambda_{\mathrm{rec}}=\sqrt{\hbar G/(\pi c^3)} \).
Results. Using the RS inflaton \( V(\chi)=V_0 \tanh^2(\chi/(\sqrt{6}\varphi)) \) (\( \alpha=\varphi^{-2} \), \( r\simeq 1.3\times10^{-3} \)), we find \( \eta_B\simeq 5.1\times10^{-10} \) within a \(10\text{–}20\% \) systematic envelope. Predictions include parity‑odd CMB \(TB/EB\), chiral primordial GW, and null late‑time backreaction on background distances.
Conclusions. No free parameters are introduced; all displays use SI/CODATA anchors. The mechanism is falsifiable via CMB parity, GW chirality, and EDM floors under the RS constants bridge.
Key Points
- Parameter‑free mechanism: Fixed RS couplings \( \lambda_{CP}=\varphi^{-7} \), \( \kappa=\varphi^{-9} \) and \( \lambda_{\mathrm{rec}} \) determine the yield.
- Prediction: \( \eta_B \simeq 5.1\times10^{-10} \) within a 10–20% systematic envelope.
- Observational signatures: Parity‑odd CMB \(TB/EB\) and chiral GW with sign fixed by eight‑tick orientation.
- No backreaction: Late‑time ILG acts on perturbations only; background distances unchanged.
- Falsifiable: Null TB/EB at predicted sensitivity or EDM limits above the RS floor exclude the mapping.