Although AI and AGI seek to imitate human cognitive principles, they cannot achieve natural efficiency as long as they rely on ‘big data’, which consists mostly of past data. Recent advanced LLM models even acknowledge this. AI and AGI are facing a head-on confrontation over the essential cognitive principle of ‘acquisition and analysis of real-time data’. This is also being fueled by the rapid development of related technologies. Here, we propose Udynamics, which is designed around the essential cognitive principle of humans, ‘real-time data processing’. This can be called a ‘natural dynamic equation’ that has undergone reflection on Eastern and Western history and humanities and society. This and its development model can provide a strong research foundation and optimal algorithm source for AI and AGI.

1.Udynamics General Equation

$\mathcal{L} = \frac{1}{2} g_{ij}(r) \dot{r}^i \dot{r}^j - V(r)$

* $T = \frac{1}{2} g_{ij}(r) \dot{r}^i \dot{r}^j$ is the spatial geometric metric tensor,
* $T = \frac{1}{2} g_{ij} \dot{r}^i \dot{r}^j$ 는is the rate of change of position (velocity),
* $V(r) = -\frac{GMm}{r}$ is the potential energy, which varies with position.

2.UDynamics UH equation

$\mathcal{H}_{\text{Ryoo}} = \sqrt{g} \left( \mathcal{R} - \frac{1}{2} K_{ij} K^{ij} \right)$

* HU is the Hamiltonian density with the time dimension removed,
* g is the determinant of the metric in the spatial geometry,
* $\mathcal{R} = g^{ij} R_{ij}$ is the Ricci curvature in 3D space,
* $\mathcal{H} = \sqrt{g} \left( \mathcal{R} - \frac{1}{2} K_{ij} K^{ij} \right)$ is the extrinsic curvature of the spatial geometry.
* $K_{ij}$ is the extrinsic curvature of the spatial geometry.