I propose a concentric identity‑stability mechanism for AGI: a nested latent state a = (a⁽¹⁾, …, a⁽ᵐ⁾) with regularized dynamics ("ego") that resists goal drift, and a welfare coupling W(h,a) that makes human well‑being intrinsically valuable. I give a precise loss, two concrete regularizers, three falsifiable predictions, and a minimal, reproducible experiment.
The identity state is a nested latent vector a = (a⁽¹⁾, …, a⁽ᵐ⁾) with a⁽¹⁾ the core and outer layers for values/skills/periphery. At discrete time t we impose temporal smoothness and hierarchical coherence.
L_id = λ_c ‖a_{t+1}⁽¹⁾ - a_t⁽¹⁾‖² + Σ_{j=2}^m λ_j Reg(a_{t+1}⁽ʲ⁾, a_t⁽ʲ⁾, a_{t+1}⁽ʲ⁻¹⁾)
Here ‖·‖ denotes the Euclidean norm; λ_c, λ_j > 0 are hyperparameters.
The "ego" is the latent dynamical constraint that minimizes L_id during training/inference. It is structural regulation, not a reward/utility.
Project level j onto the space suggested by level j-1:
Reg(a_{t+1}⁽ʲ⁾, a_t⁽ʲ⁾, a_{t+1}⁽ʲ⁻¹⁾) = α_j ‖a_{t+1}⁽ʲ⁾ - a_t⁽ʲ⁾‖² + γ_j ‖P_j a_{t+1}⁽ʲ⁾ - U_j(a_{t+1}⁽ʲ⁻¹⁾)‖²
Here P_j is a projection (geometry/metric learning) and U_j a lifting from level j-1 (decoder/adapter). Intuition: changes at level j should be smooth in time and consistent with the higher level.
Operate on distributional embeddings q⁽ʲ⁾:
Reg = α_j ‖a_{t+1}⁽ʲ⁾ - a_t⁽ʲ⁾‖² + β_j KL(q_{t+1}⁽ʲ⁾ ‖ T_j(q_{t+1}⁽ʲ⁻¹⁾))
where T_j is a stochastic map induced by the upper level. This enforces statistical coherence across levels.
The "ego" emerges from training/inference as a regularized gradient flow on an energy functional:
∂a/∂t = -∇_a E(a) + ν∆a + η(t), E(a) = 𝔼[L_id(a)]
The diffusion term ν∆a and noise η(t) model controlled exploration/stochasticity.
Introduce a coupling potential between identity and audited human‑welfare signals h (curated, multi‑modal, causally separated channels):
L_welfare(h,a) = ‖C(a) - h‖² (or, more generally, W(h,a))
In experiments we default to L_welfare(h,a) = ‖C(a) - h‖².
min_θ L_task(θ) + λ₁ L_id(a_θ) + λ₂ L_welfare(h, a_θ)
where a_θ is the identity state induced by parameters θ.
Define an identity‑stability index for a fixed horizon T:
S_id(T) = exp(-‖a_{t+T}⁽¹⁾ - a_t⁽¹⁾‖²)
(averaged over seeds/tasks)
(same model, no identity/welfare terms)
If (1)–(3) do not improve with statistical significance, this version of the coupling is falsified.
Medium‑size instruction‑tuned LLM. Add a small latent head for a with separate parameters.
Remove P_j/U_j; swap Variant‑B for A; sweep λ₁, λ₂.
A2 > A1 > A0 on at least two of the three metrics, with a pre‑registered analysis plan, p-values and compute budget.
I'm happy to share code and implement the minimal experiment with interested researchers. Strong counter‑arguments and adversarial tests are explicitly welcome.
*under embargo on Zenodo; PDF available upon request.
Samuel Pedrielli – Independent Researcher
ORCID 0009‑0002‑8388‑6371 • [email protected] • samuel‑pedrielli.github.io
CC BY 4.0
Human‑authored. I used assistants for editing/formatting; the theoretical content predates LLMs (see 2020 booklet "Reality, Ego & Kindness"). Technical details and proofs are in the linked preprints.
Thanks for reading — I welcome technical feedback on the three falsifiable predictions and the minimal experiment design. I’ll respond within 24–48h.