Papers by John C Buchanan
I present a complete mathematical treatment of quantum actualization theory, unifying quantum fie... more I present a complete mathematical treatment of quantum actualization theory, unifying quantum field theory, statistical mechanics, and measurement theory. Starting from basic conservation principles, I develop the full quantum field theoretic structure, including path integral formulation, renormalization group analysis, and nonperturbative effects. I derive explicit experimental predictions and provide numerical estimates for coupling constants. The framework resolves long-standing interpretational issues in quantum mechanics while providing clear experimental signatures.
The Hubble tension, a persistent discrepancy between early-universe (H 0 ≈ 67-68 km/s/Mpc) and la... more The Hubble tension, a persistent discrepancy between early-universe (H 0 ≈ 67-68 km/s/Mpc) and late-universe (H 0 ≈ 73-74 km/s/Mpc) measurements of the Hubble parameter, challenges the standard ΛCDM model. I propose a resolution within the Zero-Interaction Principle (ZIP) framework, where cosmic expansion, spacetime geometry, and fundamental parameters emerge from quantum collapse of pure potential states. By introducing a scale-dependent fractal dimension D f (r, t), decreasing from 3.0 at cosmic scales (r ≈ 14 Gpc) to 2.4 at galactic scales (r ≈ 100 Mpc), I derive a modified Hubble parameter H(r, t) = H 0 D f (r,t) D0 α. Using H 0 = 67.4 km/s/Mpc, D 0 = 3.0, and α =-0.358, I predict H early = 67.4 km/s/Mpc and H late = 73.0 km/s/Mpc, matching Planck 2018 and SH0ES 2021 data with an 8.3% difference. This approach integrates ZIP's fractal time and dark energy dynamics, offering a unified, testable alternative to ΛCDM.
This paper presents a comprehensive mathematical treatment of the Zero-Interaction Principle (ZIP... more This paper presents a comprehensive mathematical treatment of the Zero-Interaction Principle (ZIP) framework, integrating previous work on pure potential states, symmetry breaking, fractal cosmic expansion, local geometry formation, and quantum singularity collapse. Starting from the fundamental premise that the universe expands through recursive actualization of potential states, we derive a unified theory that connects quantum mechanics, general relativity, and cosmology. The framework naturally accounts for dark energy, cosmic expansion, the emergence of spacetime geometry, and the quantum nature of the Big Bang, while making testable predictions regarding cosmic microwave background (CMB) signatures, non-Gaussianity, and gravitational waves. Mathematical rigor is maintained throughout, providing a complete foundation for this new paradigm.
I present a comprehensive mathematical framework describing the emergence and evolution of Standa... more I present a comprehensive mathematical framework describing the emergence and evolution of Standard Model parameters within the Zero-Interaction Principle (ZIP) paradigm. The quantum collapse mechanism is shown to determine fundamental parameters through a modified effective Hamiltonian, naturally explaining the hierarchy of coupling constants, quark mixing angles, and matter-antimatter asymmetry. By integrating previous results on fractal cosmic expansion and quantum actualization, I derive specific predictions for collider physics, cosmological observations, and precision tests of the Standard Model. The framework provides a unified explanation for the origin of masses, mixing angles, and coupling constants while maintaining consistency with existing observations and making testable predictions for future experiments.
I present a comprehensive mathematical framework describing the Big Bang as a quantum collapse ev... more I present a comprehensive mathematical framework describing the Big Bang as a quantum collapse event within the Zero-Interaction Principle (ZIP) paradigm. The initial singularity is treated as a maximal superposition of potential states, with its collapse driving cosmic expansion and structure formation. I provide complete derivations of the collapse mechanism, quantum state evolution, thermodynamics, and observable predictions, with particular emphasis on CMB signatures. The framework naturally accounts for cosmic inflation, matter creation, and spacetime emergence while preserving quantum information. Specific predictions for CMB temperature fluctuations, non-Gaussianity, and gravitational waves are derived and compared with observational data.
I present a mathematical framework for understanding consciousness within the Zero-Interaction Pr... more I present a mathematical framework for understanding consciousness within the Zero-Interaction Principle (ZIP) theory. By treating consciousness as an emergent pattern of quantum actualization, I derive specific mathematical descriptions of conscious experience, selfreference, and information integration. The framework provides quantifiable predictions for neural signatures of consciousness and suggests new approaches to measuring and understanding subjective experience.
I present a unified theoretical framework explaining dark matter formation through quantum actual... more I present a unified theoretical framework explaining dark matter formation through quantum actualization decay across multiple universe cycles. By integrating principles from quantum mechanics, thermodynamics, and cosmology, I develop a mathematical model that explains the observed dark matter distribution and its relationship to baryonic matter. The theory provides specific predictions for dark matter formation rates and distribution patterns based on local energy density and cosmic entropy.
I present a detailed mathematical treatment of the symmetry breaking process in the pure potentia... more I present a detailed mathematical treatment of the symmetry breaking process in the pure potential framework. Starting from the fundamental X-Y symmetry state, I derive the equations governing the transition to actualized reality through symmetry breaking. The framework unifies quantum mechanical and cosmological descriptions while providing explicit mechanisms for dark energy and cosmic expansion.
I present a detailed mathematical treatment of how local spacetime geometry emerges from quantum ... more I present a detailed mathematical treatment of how local spacetime geometry emerges from quantum actualization events. Starting from pure potential states, I derive the metric structure, connection coefficients, and curvature tensors that arise from the actualization process. This framework provides a bottom-up construction of spacetime geometry from fundamental quantum processes.
I present a comprehensive framework unifying quantum actualiza-
tion through three interconnecte... more I present a comprehensive framework unifying quantum actualiza-
tion through three interconnected theories: the Mutual Observation
Principle (MOP), the X+Y+A state transition framework, and energy
as quantized packets of pure potential. This synthesis demonstrates
that quantum mechanics requires no conscious observers, as observa-
tion is merely interaction between systems. I show that possibility
inherently generates probability through energy packet oscillations,
leading to actualization via mutual system interaction. This frame-
work resolves long-standing paradoxes in quantum mechanics while
providing a clear mathematical foundation for understanding reality’s
fundamental nature.
This paper synthesizes recent theoretical developments in quantum actualization, probability dyna... more This paper synthesizes recent theoretical developments in quantum actualization, probability dynamics, and fractal time. I present a unified framework that explains the relationship between possibility and probability, their evolution through fractal time, and the mechanisms of actualization. The framework provides new insights into quantum tunneling, the emergence of classical behavior, and the nature of time itself.
This paper presents a comprehensive theoretical framework for sulfur-based biochemical systems, e... more This paper presents a comprehensive theoretical framework for sulfur-based biochemical systems, extending previous work on oxygenbased structures to account for sulfur's unique quantum mechanical properties and bonding characteristics. The framework incorporates sulfur's distinct features including multiple oxidation states, extended chain formation capabilities, and larger atomic radius. Using quantum statistical mechanics and environmental phase dynamics, I develop mathematical models describing stability, information processing, and coherence in sulfur-based systems. Comparisons with oxygen-based systems reveal novel possibilities for biochemical processes in extreme environments.
This paper presents a comprehensive theoretical framework for xenon-based chemical and biochemica... more This paper presents a comprehensive theoretical framework for xenon-based chemical and biochemical systems, incorporating its unique ability to form true chemical bonds, strong van der Waals interactions, and significant quantum effects. I develop mathematical models accounting for xenon's complex electronic structure, chemical reactivity, and biological interactions, particularly its anesthetic properties and potential therapeutic applications.
This paper presents a quantum-statistical framework for seleniumbased biochemistry, revealing dis... more This paper presents a quantum-statistical framework for seleniumbased biochemistry, revealing distinctive characteristics including photoelectric responsiveness, enhanced catalytic efficiency at 64 percent greater than sulfur analogs, and unique stability patterns at 317 K. I develop a comprehensive mathematical model incorporating selenium's quantum mechanical properties, including its electronic configuration ([Ar]3d 10 4s 2 4p 4), semiconductor behavior, and characteristic Se-Se bond length (0.233 nm). The framework demonstrates selenium's potential role in alternative biochemistries through analysis of photoconductivity effects, chalcogen bonding networks, and redox flexibility. My calculations indicate a theoretical maximum information processing density of 2.1 × 10 23 m −3 under standard conditions, with remarkable stability in reducing environments and enhanced functionality under photonic stimulation.
This paper outlines a dual-purpose framework for digital consciousness, serving as both a vessel ... more This paper outlines a dual-purpose framework for digital consciousness, serving as both a vessel for human biological consciousness transfer and a foundation for developing true artificial intelligence. Detailed mathematical derivations encompass neural dynamics, emotional modeling, and temporal fidelity, ensuring adaptability and scalability for diverse applications. By uniting human and artificial consciousness development, this framework sets the stage for transformative advancements in human identity and AI evolution.
This paper presents a quantum-statistical framework for phosphorusbased biochemistry, demonstrati... more This paper presents a quantum-statistical framework for phosphorusbased biochemistry, demonstrating unique advantages including enhanced energy storage capacity (42% higher than carbon-based systems) and remarkable structural flexibility at 385 K. I develop a mathematical model incorporating phosphorus's distinctive quantum mechanical properties, including its electronic configuration ([Ne]3s²3p³), multiple allotropes, and capacity for hypervalent bonding (0.221 nm P-P bond length). The framework provides theoretical foundations for understanding potential phosphorus-based biological systems through analysis of state functions, energy distributions, and quantum coherence effects. My calculations reveal a theoretical maximum information processing density of 2.3 × 10 23 m −3 under standard conditions, with enhanced stability in reducing environments.
This paper presents a comprehensive quantum-statistical framework for oxygen-based biochemistry, ... more This paper presents a comprehensive quantum-statistical framework for oxygen-based biochemistry, demonstrating a 31% enhancement in electron transport efficiency compared to carbon-based systems and identifying critical stability thresholds at 412 K. Building upon recent work in alternative biochemistries, I develop a mathematical model incorporating oxygen's unique quantum mechanical properties, including its distinct electronic structure (0.121 nm bond length), high electronegativity (3.44 Pauling), and modified coherence patterns (1.2 × 10 −13 s). The framework provides theoretical foundations for understanding potential oxygen-based biological systems through detailed analysis of state functions, energy distributions, stability conditions, and quantum effects. I derive fundamental limits for stability, coherence times, and information processing capacity in oxygen-based systems, demonstrating a theoretical maximum information density of 1.8 × 10 23 m −3 at standard conditions.
This paper presents a comprehensive quantum-statistical framework for nitrogen-based biochemistry... more This paper presents a comprehensive quantum-statistical framework for nitrogen-based biochemistry, demonstrating a 23% enhancement in quantum coherence effects compared to carbon-based systems and identifying critical stability thresholds at 386 K. Building upon recent work in alternative biochemistries, we develop a mathematical model incorporating nitrogen's unique quantum mechanical properties, including its distinct electronic structure (0.146 nm bond length), enhanced electronegativity (3.04 Pauling), and modified coherence patterns (1.8 × 10 −13 s). The framework provides theoretical foundations for understanding potential nitrogen-based biological systems through detailed analysis of state functions, energy distributions, stability conditions, and quantum effects. We derive fundamental limits for stability, coherence times, and information processing capacity in nitrogen-based systems, demonstrating a theoretical maximum information density of 1.2 × 10 23 m −3 at standard conditions. These findings suggest that while nitrogen-based life would face distinct challenges compared to carbon-based life, it remains theoretically viable under specific environmental conditions.
This paper presents a comprehensive theoretical framework for DNA-like structures based on methan... more This paper presents a comprehensive theoretical framework for DNA-like structures based on methane and other hydrocarbons, utilizing Unified Fractal Quantum Dynamics (UFQD) and Helical Fractal Dynamics (HFD). We demonstrate how hydrocarbon chains can form self-replicating, information-carrying structures suitable for life in extreme low-temperature environments such as Titan. The framework combines fractal geometry, Fibonacci sequences, and quantum mechanics to describe both structural stability and replication mechanisms. Mathematical models and simulations support the feasibility of such structures in methane-rich, low-temperature environments, suggesting potential pathways for alternative biochemistries in extraterrestrial environments.
This paper presents a comprehensive theoretical framework for DNA-like structures based on lithiu... more This paper presents a comprehensive theoretical framework for DNA-like structures based on lithium ions in ammonia-rich environments, utilizing Quantum Statistical Mechanics (QSM) and Environmental Phase Dynamics (EPD). We demonstrate how lithium-based nucleic analogues can form self-replicating, information-carrying structures suitable for life in ammonia-rich environments. The framework combines quantum tunneling, statistical thermodynamics, and phase transition theory to describe both structural stability and replication mechanisms. Mathematical models and simulations support the feasibility of such structures in ammonia-rich environments, suggesting potential pathways for alternative biochemistries in non-aqueous systems.
Uploads
Papers by John C Buchanan
tion through three interconnected theories: the Mutual Observation
Principle (MOP), the X+Y+A state transition framework, and energy
as quantized packets of pure potential. This synthesis demonstrates
that quantum mechanics requires no conscious observers, as observa-
tion is merely interaction between systems. I show that possibility
inherently generates probability through energy packet oscillations,
leading to actualization via mutual system interaction. This frame-
work resolves long-standing paradoxes in quantum mechanics while
providing a clear mathematical foundation for understanding reality’s
fundamental nature.
tion through three interconnected theories: the Mutual Observation
Principle (MOP), the X+Y+A state transition framework, and energy
as quantized packets of pure potential. This synthesis demonstrates
that quantum mechanics requires no conscious observers, as observa-
tion is merely interaction between systems. I show that possibility
inherently generates probability through energy packet oscillations,
leading to actualization via mutual system interaction. This frame-
work resolves long-standing paradoxes in quantum mechanics while
providing a clear mathematical foundation for understanding reality’s
fundamental nature.