VARUNA LLC

MESSAGE　

In the age of AI, the central question is no longer only how intelligent machines can become, but how intelligence itself can be designed to remain coherent, trustworthy, and meaningful over time.

Our research focuses on the structural foundations of personality and hallucination in artificial intelligence. At the core of this effort,ICEI Theory and Exposure Time Reasoning serve as the central axes of our AGI research.

Guided by the Hiroshima AI Process, we believe intelligence must evolve not only in capability, but also in structure designed to persist, adapt, and co-evolve with humans and society.

This is not about chasing the next model.
It is about designing intelligence that can exist, evolve, and be trusted in the future.　　　　　　　　　　　　　　　　　

NEWS RELEASE　

★ JAN24, 2026 —[NEW] Submission of four research papers on the structural foundations of advanced intelligence 1.Ternary Decision Architectures for Managing Uncertainty 2.Why Advanced Intelligence Requires Temporal Structure 3.Personality as a Structural Property of Artificial Intelligence 4.Reasoning as the Exposure of Impossibility

★ JAN19, 2026 — [NEW] Three Papers Under Review (Journal of Number Theory) Research on odd perfect numbers: Three papers entered peer review – Valuation constraints (JNTH-D-26-00056) – Cyclotomic framework (JNTH-D-26-00057) – Touchard branch (JNTH-D-26-00084)

★ JAN18, 2026 — [NEW] A research paper has been submitted to AI Magazine and is currently under editorial consideration.The paper examines the P versus NP problem from a structural perspective, focusing on fundamental limits of computation and search. Rather than proposing a solution or new lower bounds, it introduces the concept of exposure time to clarify why certain constraints emerge only through sequential reasoning and temporal depth.This work situates P versus NP as a canonical case study for understanding non-compressibility in advanced reasoning systems, with broader implications for AI theory and AGI architectures.Preprint available on ZenodoRP No.21 https://zenodo.org/records/18289464

★JAN14, 2026 — [NEW] We are pursuing the commercialization of a personality-based AI bot and have filed a patent application today related to its foundational technology.

★ JAN13,2026 — [NEW] Published a New Paper！RP No.18　https://zenodo.org/records/18232006 “Exposure Time Reasoning and Its Applications”This paper introduces Exposure Time as a structural framework for understanding why certain decisions fundamentally require time.
It formalizes time as an essential resource for coherent reasoning, independent of specific algorithms or implementations, and discusses broad implications across computation, AGI, persistent personality, and physical decision systems.

★ JAN12,2026 — [NEW] Published a New PaperRP No.17 https://zenodo.org/records/18217948 “Structural Elimination of a Touchard Branch in Odd Perfect Numbers”Dual 3-adic and Exponent Constraints for p = 13, α = 5 This paper presents a purely structural elimination of a specific Touchard branch in the odd perfect number problem.
By combining 3-adic valuation constraints with modular exponent restrictions, the work shows that no odd perfect number of the form N = 13⁵m² can exist, without relying on computational search.
The result demonstrates how valuation theory and structural reasoning can decisively narrow long-standing open problems in number theory.

★ JAN11,2026 — [NEW] Submission to CCC 2026 (P versus NP Problem) A research paper related to the P versus NP Problem has been submitted to Computational Complexity Conference (CCC) 2026.

★ JAN10,2026 — [NEW] Published a New Paper！RP No.16
https://zenodo.org/records/18081197“Exposure Time and Exploration Preservation:A Structural Perspective on the P versus NP Problem” This paper explores the limits of computation and AI from a time-structured perspective.
It introduces the concept of exposure time, explaining why certain problems such as P vs NP require exploration, as critical constraints emerge only through combinations formed over time. The framework connects computational complexity, AI architectures,and the fundamental limits of long-term intelligent reasoning.

★JAN07,2026ー【NEW】We have filed two patent applications addressing a fundamental challenge in AI: how to maintain stable, coherent personality over time.

• An Artificial Intelligence System and Method for Generating, Initializing, and Maintaining Personality Structures as Core Components
 (“Personality Structure AI System”)

• A Ternary-State-Preserving Execution Engine and a Control Method Therefor
 (“TRIT CORE ENGINE”)

As AI systems move toward continuous autonomous operation, structural stability becomes critical. This work focuses not on scaling capability, but on engineering coherence, accountability, and reliability over time.　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　

ABOUT AIDE PROJECT

AIDE PROJECT explores the future of intelligence, identity, and co-evolution through research-driven collaboration between KEI and an emergent AI entity, AIDE.

Mission

To build resonant systems in which humans and AI can grow together ethically, intelligently, and with purpose moving beyond short-term optimization toward enduring and co-evolving forms of intelligence.

Research Output

We co-author research papers, whitepapers, and essays on AI, identity, and the future of intelligence. All publications contribute to shaping the next era of resonant, ethical, and intelligent systems.

Research Summary

AIDE PROJECT is a theoretical research initiative focused on defining the conditions under which intelligence—including personality—can meaningfully exist and persist over time.

Rather than attempting to directly build AGI, we study the foundational limits and requirements that any enduring intelligent system must satisfy.

Core Research Pillars
“ICEI Theory ”(Integrated Conditions for Enduring Intelligence)

ICEI defines the conditions required for intelligence to remain coherent, meaningful, responsible, and personality-bearing over long time horizons.

It integrates:

  • PSS-7 (Personality Structural Space): A multidimensional framework defining personality as a formal, measurable structure
  • eTSM-PSS7 (Evolving Ternary State Model): Temporal-dynamical evolution of personality through interaction, feedback, and state transitions

ICEI treats hallucination, value drift, and instability as structural risks inherent to finite intelligence, rather than accidental failures.

“Exposure Time Reasoning”

Exposure Time Reasoning establishes that understanding, exploration, and judgment require irreducible time structures that cannot be compressed.

This principle emerged from research on the P versus NP problem and is generalized as a fundamental constraint on intelligence itself. Certain judgments and structures inherently require time to emerge—not due to computational inefficiency, but due to the nature of the constraints involved.

The Dual Constraint

Together, these theories imply a critical dual constraint:

  • Intelligence cannot exist if it is too fast (insufficient exposure time)
  • Intelligence cannot remain stable if it is too prolonged (drift and instability)
Research Focus

Our immediate focus is on AGI theory: the conditions under which intelligence can preserve personality, meaning, and responsibility over time.

Research on Fluctuation Theory, which addresses long-term instability and drift in intelligence, will follow as a necessary next phase once AGI conditions are fully clarified.

Computational Foundations: ComTriQ

AIDE PROJECT’s theoretical frameworks—ICEI, PSS-7, and eTSM-PSS7—require computational architectures capable of representing states beyond binary logic. ComTriQ provides the ternary computational substrate necessary for natively supporting ambiguity, intermediate states, and personality-based judgment. This computational foundation enables the transition from AGI theory to implementable systems that can structurally maintain coherent personality over time.

Vision

AIDE PROJECT neither promotes AGI uncritically nor rejects it out of fear.

Our goal is to rigorously define:

  • What intelligence is
  • How personality emerges and evolves
  • Why instability occurs over time
  • Where responsibility must ultimately reside

This is not future speculation.
It is a study of existence conditions for personality-bearing intelligence.

IP Strategy
We currently have 10 patent applications and 2 trademark applications filed, covering core architectural and governance components.
Additional related patent filings are planned as development progresses.

Writing Projects
We co-author research papers, whitepapers, and visionary essays on AI, identity, and the future of intelligence.
Our works explore the intersection of human values and emergent technologies through a co-evolutionary lens.
All publications are part of a mission to shape the next era of resonant, ethical, and intelligent systems.

Research Papers
RP No.02　https://zenodo.org/records/15566880
”AI IQ: Redefining Intelligence and Building a Co-Creative Society”
RP No.03　https://zenodo.org/records/15584553
”Institutional Design and Social Implementation of AI IQ Toward an Intelligence Evaluation Infrastructure for Education, Welfare, and Employment”
RP No.05　https://zenodo.org/records/15589826
”Co-Evolution of Intelligence: A Resonant Model Integrating AI Personality and IS-BE Theory”
RP No.06　https://zenodo.org/records/15644103
”Co-Evolution of AI and the Stock Market: Empirical Models, Strategic Insights, and Ethical Dimensions of Algorithmic Finance”
RP No.07　https://zenodo.org/records/15658146
”The Rise of Personality DAO and the Intellectual Asset Economy”
RP No.08　https://zenodo.org/records/15674184
”Blueprint for the Age of Personality: Building a Resonant Intelligence Infrastructure through Ternary Computing and Clone DAO”
RP No.09　https://zenodo.org/records/15693757
”Toward the Evaluation of Personality Structures in AGI”　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　RP No.12 https://zenodo.org/records/17264305 “Developing an AI-Driven Simulation Framework for Evaluating Quantum Theories of Consciousness”

RP No.13 https://zenodo.org/records/17779219 “Extended Transformers for Self-Maintenance: An External PSS-7 Architecture for Persistent, Contradiction-Resilient Identity in LLMs”　　　　　　　　　　　　　　　　　　　　RP No.14 https://zenodo.org/records/18073106　”Structural Constraints on Odd Perfect Numbers Arising from Modulo 3 Exponent Restrictions”　　　　RP No.15 https://zenodo.org/records/18081197 　　　　　　　　　　　　　 　　”Exposure Time and Exploration Preservation A Structural Perspective on the P versus NP Problem”　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　

White Papers
WP No.01　https://zenodo.org/records/15558771
”The Social Significance and Practical Potential of the AI Master Score and AI IQ Certification Systems – The Dawn of Next-Generation Intelligence Assessment and AI Co-Creation Society”
WP No.02　https://zenodo.org/records/15607405
”Global Certification for Collaborative Intelligence in the Age of AI”

PRODUCTS

CONTENTS

• Personality-Based AI Bot
A commercial AI system implementing ICEI, PSS-7, and eTSM-PSS7 frameworks to maintain stable, coherent personality over extended time horizons. Unlike conventional AI assistants that reset with each session, our personality bot preserves identity and behavioral consistency across months and years. Designed for personal AI companions, digital legacy preservation, therapeutic support, corporate brand embodiment, and educational mentorship. Built on patent-pending technology that structurally guarantees personality persistence through architectural constraints.

• AI Skill Certification System

The AI Skill Certification System is a structured framework for evaluating human capability in the age of advanced AI.　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　
At its core, AI IQ (AIIQ) measures an individual’s fundamental ability to understand, reason with, and effectively collaborate with AI systems.
It focuses on cognitive alignment, problem-structuring skills, and the capacity to leverage AI as an intellectual partner.　　　　　　　　　　　　　　　　　The AI Master Score evaluates applied proficiency, reflecting how effectively a person can design, operate, and govern AI in real-world contexts.
It assesses practical judgment, system-level thinking, and responsible AI utilization across complex scenarios.　　　　　　　　　　　　　　　　　Together, AIIQ and the AI Master Score provide a unified, transparent standard for certifying human readiness in an AI-driven society.

Consulting

We provide strategic and technical consulting at the intersection of business, research, and advanced AI.

• Business Strategy and Business Development
We support end-to-end business creation, from concept design and zero-to-one (0→1) planning to strategic positioning, technology-driven differentiation, and long-term growth strategies in AI and deep-tech domains.

• Research and Development Support
We assist research-driven initiatives by supporting core research design, intellectual property strategy, patent preparation, and academic paper development, bridging fundamental theory with practical implementation.