Institute of Integrative and Interdisciplinary Research

Core Research Programs and Frameworks

The Institute of Integrative and Interdisciplinary Research (IIIR) is dedicated to pioneering foundational, domain-agnostic frameworks that bridge the physical, cognitive, computational, and social sciences. By synthesizing advanced mathematical physics, dynamical systems theory, information theory, and digital humanities, the Institute establishes unified structural laws to map complexity, persistence, and self-organization across all scales of reality.

The core research outputs of the Institute are organized into five primary interdisciplinary divisions.

1. Cosmology and Theoretical Astrophysics

The macro-scale research program focuses on formulating rigorous alternatives to the standard ΛCDM model by addressing the “dark sector” through the lens of local quantum vacuum dynamics rather than undiscovered elementary particles.

• The Local Gravity of Quantum Vacuum (αLGQV) Theory: Development of field-theoretic models where quantum vacuum energy density is fundamentally matter-dependent. This framework models cosmic expansion as a centrifugal relaxation mechanism and accounts for galactic rotation curves (utilizing extensive SPARC database testing) without cold dark matter particles.
• Topological Cosmology (RP³ Topology): Investigation of an antipodal, closed RP³ universe with double counter-rotation. This geometric model provides zero-parameter predictions for cosmological signatures, including cosmic microwave background (CMB) parity, galaxy spin chirality, cosmic dipoles, and the nanohertz gravitational wave background.
• Protostellar Dynamics and Binary Evolution: Kinematic modeling of primordial cloud collapse, core formation paradoxes, and stellar binary assembly. Research evaluates metallicity-driven fragmentation and persistence-selected outcomes in dense star-forming regions to explain phenomena such as Jupiter-Mass Binary Objects (JuMBOs).
• Alternative Cosmological Assessments: Quantitative review of alternative topologies and frameworks, including timescape cosmology, holographic models, and the structural implications of cosmic megastructures projected via Hopf fibration tori.

2. Fundamental Physics and Quantum Field Theory (The σ-Programme)

At the micro-scale, research focuses on the geometric origin of fields, interactions, and physical constants, proposing that physical law is derived from the structural self-consistency of a persistent universe.

• Isotopology and Nuclear Configurations: Establishment of Isotopology, a new discipline treating mass, nucleons, and composite atomic nuclei as topologically closed, self-consistent vacuum excitations (S³ and toroidal Skyrmion configurations). This includes mapping canonical hyper-symmetric composite topologies from ¹H through ²⁸Si.
• The σ-Programme Gauge Unification: Modeling of physical processes—such as electroweak unification, β-decay, neutrino oscillations, and electromagnetism—as metric phenomena emerging from an underlying open/background-condensed substrate via localized σ-fixation and swap-attribution.
• The Strong Sector and QGVP: Formulation of the Quark-Gluon-Vacuum Plasma as the ontological foundation of the universe, resolving the Clay Yang-Mills mass gap problem as a geometric property of RP³ cosmological topology.

3. General Systems Theory and Structural Viability

This division formalized the mathematical and ontological rules governing complex adaptive, self-organizing, and discrete-state dynamical systems.

• The Unified Structural Theory of Wisdom & Complex Systems: Derivation of formal laws addressing cooperation, viability, interference, and observability. Research defines the structural genesis of physical law based on conditions required for sustainable, persistent complexity.
• Structural Persistence and Coherence Analysis (SPCA): The creation of topological-dissipative methodologies rooted in the Banach fixed-point theorem, detailing how continuous invariants lock into persistent topological classes across physical, biological, and cognitive domains.
• Phase Transitions in Adaptive Networks: Formalization of discrete-state systems, structural resilience, and constraint-network architectures. Research models how coupled networks undergo phase transitions, oscillating between assertion and dismantling cycles.

4. Computational Epistemology, Cognitive Architecture, and AI Systems

Research in this domain explores inference limitations, predictive architectures, and the thermodynamic boundaries of information processing in both organic and synthetic cognitive systems.

• Epistemic Constraint and Provability Theories: Development of frameworks detailing inference limits across Bayesian epistemology, decision theory, and information theory. This introduces principles of definition-dependent provability and the theorem of incompatible truths, explaining how complex systems navigate deep disagreements through adaptive heuristics.
• Thermodynamics of Algorithmic Compression: Investigation of local entropy inversion and Landauer bounds in large-scale AI systems, modeling cognitive architectures where time is a property of reconstructive retrieval rather than a property of storage.
• Multi-Agent Environments and Predictive Processing: Formalization of deception, perceived reality, and autonomous goal-generation in post-scarcity information environments, alongside game-theoretic models tracking norm shifts in populations with AI-extended communication agents.
• Formal Psychopathology and Behavioral Systems: Application of dynamical systems theory to complex behavioral feedback loops, formalizing mental disintegration categories, relational disequilibrium, and chemical/digital addictions as extractive oscillators exhibiting sensor degradation.

5. Computational Humanities and Socio-Technical Systems

This division applies rigorous statistical, economic, and mathematical toolkits to historical scripts, institutional structures, and post-labor macroeconomics.

• Statistical Inscription Analysis: Quantitative and positional constraint modeling of complex historical sign systems—specifically the Indus script and seals from Mohenjo-Daro—to evaluate definitional indeterminacy, stroke numerals, and the institutional origins of Bronze Age credit.
• The Undirected Multidisciplinary Sweep Method: Design of generalized systemic detection frameworks to identify structural blindness, systematic omissions, and ideological distortion within historical records and classical philosophical traditions.
• Sociotechnical Homeostasis and Policy Architecture: Systems-theoretic critiques of institutional failures, punitive legal frameworks, and patent monopolies in the age of automation. Research models macro-scale transitions toward post-labor economics, detailing adaptive transaction taxes and request-based universal basic income models to preserve societal cohesion.

All research outputs, comprehensive monographs, preprints, and dataset codes are indexed, permanently archived, and publicly referenceable via persistent Digital Object Identifiers (DOIs).