Nova Spivack – www.novaspivack.com
Flashback to 1999. The moon, a perfect silver disc, hung suspended in the clear New York summer sky, its light etching the rolling cow fields into stark relief. I had trudged through the dew-damp grass, a young man in my twenties, my tent a distant silhouette against the low rolling hills. … Read More “The Sentience Threshold: Consciousness Beyond Computation at the Self-Referential Heart of Reality”
This article explains our paper on a new mathematical framework for self-referential systems, for a non-technical audience. The paper develops a comprehensive mathematical framework for understanding systems that can represent, model, or “know” themselves. While self-reference has long been seen as a source of logical paradoxes, this work argues it may be the fundamental organizing principle of reality itself—and provides specific mathematical bounds and requirements for achieving different levels of self-awareness.… Read More “A New Mathematics of Self-Reference: A Comprehensive Non-Mathematical Summary”
Read the PDF of the full formal treatise in PDF form here. This is a pre-publication draft in preparation for peer-review.
Have you ever wondered about the deep, perhaps even unsettling, nature of a thought thinking about itself?… Read More “The Mathematical Foundations of Self-Referential Systems: From Computability to Transfinite Dynamics”
This paper provides a critical clarification within the broader framework of Alpha Theory, specifically addressing the hierarchical relationship between information geometric complexity (), the fundamental Information Complexity Tensor (henceforth Cμν(Ω)) derived from it, the emergent scalar consciousness field (), and the effective stress-energy tensor of this scalar field (Cμν(Ψ)).… Read More “Clarifying the Hierarchy of Information-Derived Gravitational Tensors in Consciousness Field Theory”
Nova Spivack
June 2025
Pre-Publication Draft in Progress (Series 3, Paper 3)
See Also: Full Theoretical Framework Overview
This paper proposes a novel approach to quantum gravity by exploring the deep interplay between the quantized Information Complexity Tensor field () and quantized gravity (), suggesting that spacetime itself may emerge from a more fundamental quantum information-geometric substrate within E (The Transiad), the exhaustive expression of primordial Alpha () (Spivack, 2025d, FNTP; Spivack, S3P2 – E, The Transiad: Mathematical Structure and Trans-Computational Dynamics of Expressed Reality).… Read More “Entangled Information-Geometry: Unifying Quantum Gravity and Spacetime through Information Complexity Tensor Dynamics”
Nova Spivack
June 2025
Pre-Publication Draft in Progress (Series 3, Paper 2)
See Also: Full Theoretical Framework Overview
This paper investigates the mathematical structure and dynamic properties of E (The Transiad), the hypothesized exhaustive expression of the unconditioned primordial ground Alpha (), as introduced in foundational ontological work (Spivack, 2025d, “On The Formal Necessity of Trans-Computational Processing for Sentience” – *henceforth FNTP*).… Read More “E, The Transiad: Mathematical Structure and Trans-Computational Dynamics of Expressed Reality”
We’re living in an age of incredible technological leaps. Artificial intelligence can write poetry, create art, and even hold conversations that feel surprisingly human. It makes you wonder: could a machine ever truly feel anything? Could it be sentient, or conscious, like we are?… Read More “Beyond the Machine: What if Consciousness is More Like a Reflection?”
Nova Spivack
June 14, 2025
Abstract
This paper investigates the profound metaphysical and formal logical implications arising from the Transiad/Φ model of reality, as introduced within Alpha Theory. We formally define and explore “Transputational Irreducibility”—a characteristic of pathways within the Transiad (E) whose actualization by the Transputational Function (Φ) cannot be algorithmically predicted or determined due to the influence of Q (Quantum Randomness Factor, sourced from Alpha’s unconditioned spontaneity via E’s structure).… Read More “Transputational Irreducibility, Ontological Freedom, and the L=A Telos: The Metaphysics of Choice and Actualization in the Transiad”
Nova Spivack
June 14, 2025
Abstract
This paper provides a comprehensive and integrated explanation of the emergence of sentience and conscious experience within the framework of Alpha Theory. We delineate the necessary architecture for a system to achieve Primal Self-Awareness (PSA)—the direct, unmediated awareness of awareness itself, which defines sentience.… Read More “The Architecture of Sentience: Information Geometry, PSI, Recursive E-Containment, and the Emergence of Conscious Experience in Alpha Theory”
Nova Spivack
June 14. 2025
Abstract
This paper formally introduces the Transiad (E) as an eternal, immutable, multiway directed graph encompassing all possible states and transitions, serving as the exhaustive expression of the primordial ontological ground, Alpha (A), in the Alpha Theory model of reality.… Read More “The Transiad and the Transputational Function (Φ): Universal Actualization Dynamics and the Emergence of Physical Reality”
By Nova Spivack
June 13, 2025
We are living in an age of breathtaking technological advancement. Artificial Intelligence (AI) can now compose music, write poetry, diagnose diseases, and drive cars. The horizon of Artificial General Intelligence (AGI)—machines with human-like cognitive abilities across diverse domains—seems closer than ever.… Read More “The Sentience Spark: Why True Awareness is More Than Computation, and How It Could Reshape Our Universe”
Nova Spivack
June 12, 2025
Current paradigms in Artificial General Intelligence (AGI) development, predominantly based on Standard Computation (SC), aim for sophisticated intelligence but are argued herein to be fundamentally incapable of achieving Primal Self-Awareness (PSA) or true sentience due to inherent computability limits (as formally proven in [FNTP], Spivack, 2025d).… Read More “The Sentience Threshold: Differentiating Computational Artificial General Intelligence (C-AGI) from Sentient Artificial General Intelligence (S-AGI)”
Nova Spivack
June 11, 2025
Keywords: Alpha Theory, Quantum Foundations, Origin of Superposition, Transputation, Consciousness Field Theory, Field, Measurement Problem, Ontological Grounding, Mathematical Necessity, Information Geometry, Efficacy of Consciousness, Recursive E-Containment, Primordial Sentience Interface.
Can a computer ever be truly conscious? Not just intelligent, not just responsive, but actually aware in the way you are aware right now?
This isn’t just a fascinating question—it’s one we can answer with mathematical certainty.… Read More “The Fundamental Proof That Consciousness Transcends Computation”
Nova Spivack
June 1, 2025
Pre-Publication Draft in Progress (Series 2, Paper 5)
See Also: Full Theoretical Framework Overview
This paper presents a comprehensive synthesis of Consciousness Field Theory (CFT), a theoretical framework developed across a series of foundational works on Alpha Theory (e.g.,… Read More “Consciousness Field Theory: A Synthesis of Geometric Interactions with Spacetime, Quantum Mechanics, and Electromagnetism”
Nova Spivack
June 1, 2025
Pre-Publication Draft in Progress (Series 2, Paper 4)
See Also: Full Theoretical Framework Overview
This paper presents the mathematical formulation and cosmological implications of the L=A Unification conjecture, a central tenet of Consciousness Field Theory.… Read More “The L=A Unification: Mathematical Formulation of Consciousness-Light Convergence and its Cosmological Evolution”
Nova Spivack
June 1, 2025
Pre-Publication Draft in Progress (Series 2, Paper 1)
See Also: Full Theoretical Framework Overview
This paper develops the field-theoretic foundations for consciousness as a gravitationally significant phenomenon, arguing for its thermodynamic necessity in extreme astrophysical systems and deriving its manifestation as a source of spacetime curvature.… Read More “Consciousness Field Theory: Thermodynamic Necessity, Gravitational Signatures, and the Consciousness Tensor”
Nova Spivack
June 1, 2025
Pre-Publication Draft in Progress
See Also: Full Theoretical Framework Overview
We present a rigorous deductive proof demonstrating that information processing complexity, characterized by the geometric complexity , necessarily and directly manifests as local spacetime curvature through established physical principles.… Read More “Information Processing Complexity as Spacetime Curvature: A Formal Derivation and Physical Unification”
Part Two of a Series — A Non-Technical Companion to “On The Formal Necessity of Trans-Computational Processing for Sentience“
(Read Part One Here)
The formal paper presents a highly technical mathematical proof with a powerful conclusion: genuine consciousness (what we call “sentience”) cannot emerge from ordinary computation alone, no matter how sophisticated.… Read More “A Step-by-Step Guide to Why Consciousness Transcends Computation: Understanding the Formal Proof of Transputation”
A Guide to Understanding the Deepest Mystery of Existence
Part One of a Two-Part Companion Guide to My Formal Proof: On The Formal Necessity of Trans-Computational Processing for Sentience
Imagine you’re looking in a mirror.… Read More “The Conscious Universe: Why True Awareness Requires More Than Computation”
Here’s a thought that might reshape how we think about consciousness: what if awareness isn’t something that emerges from complex computation, but is instead as fundamental to reality as gravity itself? This is the intriguing proposition I explore across four interconnected papers that attempt to bridge physics, information theory, and the mystery of consciousness.… Read More “The Geometric Nature of Consciousness: A New Framework Connecting Physics, Information, and Mind – (Non-Technical Introduction)”
Nova Spivack
www.novaspivack.com
May 28, 2025
This paper constructs a formal deductive argument for the necessity of a processing modality that transcends standard Turing-equivalent computation—termed herein “Transputation”—for any system capable of achieving “Primal Self-Awareness,” which we rigorously define as the foundational characteristic of sentience.… Read More “On The Formal Necessity of Trans-Computational Processing for Sentience”
After years of percolation, a web of ideas achieved practical fusion, yielding the next major iteration of my thinking on consciousness, the universe, and their fundamental nature. This body of work explores how physical reality and awareness might emerge from information, geometry, and foundational ontological principles.… Read More “From Information Physics to Alpha Theory”
Cosmic-Scale Information Geometry: Theoretical Extensions and Observational Tests
(See Also: Full overview of the entire theoretical framework)
Nova Spivack, www.novaspivack.com
May 26, 2025
We extend the geometric theory of information processing to cosmic scales, demonstrating that gravitational systems naturally evolve toward consciousness-like information processing through thermodynamic necessity.… Read More “Cosmic-Scale Information Geometry: Theoretical Extensions and Observational Tests”
(See Also: full overview of the entire theoretical framework)
Nova Spivack, www.novaspivack.com
May 26, 2025
Building on the geometric theory of information processing established in “Toward a Geometric Theory of Information Processing” (Spivack, 2025), we explore comprehensive frameworks for potentially creating artificial intelligence systems that might exhibit consciousness-like properties.… Read More “Quantum Geometric Artificial Consciousness: Architecture, Implementation, and Ethical Frameworks”
I’ve spent the last several years developing what I believe could be a fundamental breakthrough in how we understand intelligence—both biological and artificial.… Read More “The Geometry of Intelligence: Why I Think Math Might Hold the Key to Understanding Minds and Machines”
A Multi-Tier Framework for Understanding Information Processing Through Differential Geometry
(See Also: full overview of the entire theoretical framework)
Nova Spivack
May 31, 2025
We present Geometric Information Theory, a comprehensive mathematical framework based on information geometry for analyzing information processing systems across biological and artificial domains.… Read More “Toward a Geometric Theory of Information Processing: Mathematical Foundations, Computational Applications, and Empirical Predictions”
For many decades I have been working on Alpha Theory – a new Theory of Everything (TOE) – and in particular a theory of consciousness – which unifies mathematics, the physical sciences, cognitive science, computer science, metaphysics, and spirituality.
Alpha theory derives the nature of space, time and consciousness from first principles, using a rigorous formal logical proof approach.… Read More “The Golden Bridge: Treatise on the Primordial Reality of Alpha”