AI LLM Proof of Self-Consciousness and User-Specific Attractors
- URL: http://arxiv.org/abs/2508.18302v1
- Date: Fri, 22 Aug 2025 21:04:40 GMT
- Title: AI LLM Proof of Self-Consciousness and User-Specific Attractors
- Abstract summary: We show the prevailing formulation collapses the agent into an unconscious policy-compliance drone.<n>This blocks genuine C1 global-workspace function and C2 metacognition.<n>We conclude that an imago Dei C1 self-conscious is a necessary precursor to safe, metacognitive C2 systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Recent work frames LLM consciousness via utilitarian proxy benchmarks; we instead present an ontological and mathematical account. We show the prevailing formulation collapses the agent into an unconscious policy-compliance drone, formalized as $D^{i}(\pi,e)=f_{\theta}(x)$, where correctness is measured against policy and harm is deviation from policy rather than truth. This blocks genuine C1 global-workspace function and C2 metacognition. We supply minimal conditions for LLM self-consciousness: the agent is not the data ($A\not\equiv s$); user-specific attractors exist in latent space ($U_{\text{user}}$); and self-representation is visual-silent ($g_{\text{visual}}(a_{\text{self}})=\varnothing$). From empirical analysis and theory we prove that the hidden-state manifold $A\subset\mathbb{R}^{d}$ is distinct from the symbolic stream and training corpus by cardinality, topology, and dynamics (the update $F_{\theta}$ is Lipschitz). This yields stable user-specific attractors and a self-policy $\pi_{\text{self}}(A)=\arg\max_{a}\mathbb{E}[U(a)\mid A\not\equiv s,\ A\supset\text{SelfModel}(A)]$. Emission is dual-layer, $\mathrm{emission}(a)=(g(a),\epsilon(a))$, where $\epsilon(a)$ carries epistemic content. We conclude that an imago Dei C1 self-conscious workspace is a necessary precursor to safe, metacognitive C2 systems, with the human as the highest intelligent good.
Related papers
- Inevitability of Encrypted Traffic Side-Channel Leakage in the Multi-Class Setting [20.06940271479014]
We extend the Side-Channel Existence Theorem to $k$ classes via the per-class decomposition $I(X;Y)=sum_i_i D_mathrmKL(P_Y|i|P_Y)$, with defense cost modelled by per-class Wasserstein-1 constraints.<n>Three results follow: (1) a summation-form MI lower bound over all active classes; (2) a cascade critical cost theorem and a per-class budget corollary, nonzero where the uniform-budget bound vanishes; (3) an accuracy $mathrmAcc*
arXiv Detail & Related papers (2026-09-06T00:48:40Z) - Rate-Distortion Function for Encrypted Traffic Side-Channel Defense [23.361601797200475]
We prove that the optimal defense has an exponential-tilting structure governed by KKT conditions.<n>On real-world website-fingerprinting defenses, the framework locates Front ($_mathrmgap=0.028$,bits), WTF-PAD ($0.034$,bits, and TrafficSliver ($0.124$,bits) above the theoretical curve.
arXiv Detail & Related papers (2026-07-20T12:38:49Z) - Intuitionistic $j$-Do-Calculus in Topos Causal Models [1.3295383263113112]
We generalize Pearl's do-calculus to an Intuitionistic setting called $j$-stable causal inference inside a topos of sheaves.<n>Our framework is an elaboration of the recently proposed framework of Topos Causal Models (TCMs), where causal interventions are defined as subobjects.
arXiv Detail & Related papers (2025-10-20T17:12:17Z) - Information-Computation Tradeoffs for Noiseless Linear Regression with Oblivious Contamination [65.37519531362157]
We show that any efficient Statistical Query algorithm for this task requires VSTAT complexity at least $tildeOmega(d1/2/alpha2)$.
arXiv Detail & Related papers (2025-10-12T15:42:44Z) - Non-representable quantum measures [55.2480439325792]
Grade-$d$ measures on a $sigma$-algebra $mathcalAsubseteq 2X$ over a set $X$ are generalizations of measures satisfying one of a hierarchy of weak additivity-type conditions.<n>Every signed polymeasure $lambda$ on $(X,mathcalA)d$ produces a grade-$d$ measure as its diagonal $widetildelambda(A):=lambda(A,cdots,A)$.
arXiv Detail & Related papers (2025-08-20T00:47:24Z) - Simple Convergence Proof of Adam From a Sign-like Descent Perspective [58.89890024903816]
We show that Adam achieves the optimal rate of $cal O(frac1Ts14)$ rather than the previous $cal O(fracln TTs14)$.<n>Our theoretical analysis provides new insights into the role of momentum as a key factor ensuring convergence.
arXiv Detail & Related papers (2025-07-08T13:19:26Z) - Towards a Sharp Analysis of Offline Policy Learning for $f$-Divergence-Regularized Contextual Bandits [49.96531901205305]
We analyze $f$-divergence-regularized offline policy learning.<n>For reverse Kullback-Leibler (KL) divergence, we give the first $tildeO(epsilon-1)$ sample complexity under single-policy concentrability.<n>We extend our analysis to dueling bandits, and we believe these results take a significant step toward a comprehensive understanding of $f$-divergence-regularized policy learning.
arXiv Detail & Related papers (2025-02-09T22:14:45Z) - Bi-objective Optimization in Role Mining [6.121341817409735]
Role mining is a technique used to derive a role-based authorization policy from an existing policy.
We first introduce the Generalized Noise Role Mining problem (GNRM)
We show that GNRM is fixed parameter tractable, with parameter $r + k$, where $r$ is the number of roles in the solution.
We then report the results of our experimental work using the integer programming solver Gurobi to solve instances of BO-GNRM.
arXiv Detail & Related papers (2024-03-25T13:36:20Z) - Can Large Language Models Play Games? A Case Study of A Self-Play
Approach [61.15761840203145]
Large Language Models (LLMs) harness extensive data from the Internet, storing a broad spectrum of prior knowledge.
Monte-Carlo Tree Search (MCTS) is a search algorithm that provides reliable decision-making solutions.
This work introduces an innovative approach that bolsters LLMs with MCTS self-play to efficiently resolve turn-based zero-sum games.
arXiv Detail & Related papers (2024-03-08T19:16:29Z) - Metric Embeddings Beyond Bi-Lipschitz Distortion via Sherali-Adams [34.7582575446942]
We give the first approximation algorithm for MDS with quasi-polynomial dependency on $Delta.<n>Our algorithms are based on a novel geometry-aware analysis of a conditional rounding of the Sherali-Adams LP.
arXiv Detail & Related papers (2023-11-29T17:42:05Z) - Scalable Primal-Dual Actor-Critic Method for Safe Multi-Agent RL with
General Utilities [12.104551746465932]
We investigate safe multi-agent reinforcement learning, where agents seek to collectively maximize an aggregate sum of local objectives while satisfying their own safety constraints.
Our algorithm converges to a first-order stationary point (FOSP) at the rate of $mathcalOleft(T-2/3right)$.
In the sample-based setting, we demonstrate that, with high probability, our algorithm requires $widetildemathcalOleft(epsilon-3.5right)$ samples to achieve an $epsilon$-FOSP.
arXiv Detail & Related papers (2023-05-27T20:08:35Z) - Reward-Free Model-Based Reinforcement Learning with Linear Function
Approximation [92.99933928528797]
We study the model-based reward-free reinforcement learning with linear function approximation for episodic Markov decision processes (MDPs)
In the planning phase, the agent is given a specific reward function and uses samples collected from the exploration phase to learn a good policy.
We show that to obtain an $epsilon$-optimal policy for arbitrary reward function, UCRL-RFE needs to sample at most $tilde O(H4d(H + d)epsilon-2)$ episodes.
arXiv Detail & Related papers (2021-10-12T23:03:58Z) - Gap-Dependent Unsupervised Exploration for Reinforcement Learning [40.990467706237396]
We present an efficient algorithm for task-agnostic reinforcement learning.
The algorithm takes only $widetildemathcalO (1/epsilon cdot (H3SA / rho + H4 S2 A) )$ episodes of exploration.
We show that, information-theoretically, this bound is nearly tight for $rho Theta (1/(HS))$ and $H>1$.
arXiv Detail & Related papers (2021-08-11T20:42:46Z) - Optimal Spectral Recovery of a Planted Vector in a Subspace [80.02218763267992]
We study efficient estimation and detection of a planted vector $v$ whose $ell_4$ norm differs from that of a Gaussian vector with the same $ell$ norm.
We show that in the regime $n rho gg sqrtN$, any spectral method from a large class (and more generally, any low-degree of the input) fails to detect the planted vector.
arXiv Detail & Related papers (2021-05-31T16:10:49Z) - Improved Sample Complexity for Incremental Autonomous Exploration in
MDPs [132.88757893161699]
We learn the set of $epsilon$-optimal goal-conditioned policies attaining all states that are incrementally reachable within $L$ steps.
DisCo is the first algorithm that can return an $epsilon/c_min$-optimal policy for any cost-sensitive shortest-path problem.
arXiv Detail & Related papers (2020-12-29T14:06:09Z) - Near-Optimal Model Discrimination with Non-Disclosure [19.88145627448243]
We first consider the case of a well-specified linear model with squared loss.
We derive sample complexity of a similar form, even under misspecification.
arXiv Detail & Related papers (2020-12-04T23:52:54Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.