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View article: Hyper-Pascal Lattice: Infinite-Zoom Universal Coordinate System for Telescopes and Microscopes
Hyper-Pascal Lattice: Infinite-Zoom Universal Coordinate System for Telescopes and Microscopes Open
We present the Hyper-Pascal Lattice (HPL) — a revolutionary coordinate system with theoretically infinite zoom capability, enabling continuous magnification from galactic scales (~10²¹ m) to subatomic scales (~10⁻¹⁵ m) and beyond, without …
View article: The Hyper-Pascal Lattice: A Combinatorial Framework for Hierarchical Discrete Space
The Hyper-Pascal Lattice: A Combinatorial Framework for Hierarchical Discrete Space Open
We introduce the Hyper-Pascal Lattice (HPL), a novel mathematical structurethat reinterprets Pascal’s Triangle as an infinite hierarchical network with binaryaddressing. Unlike the classical arithmetic interpretation of binomial coefficien…
View article: Hyper-Pascal Lattice: Infinite-Zoom Universal Coordinate System for Telescopes and Microscopes
Hyper-Pascal Lattice: Infinite-Zoom Universal Coordinate System for Telescopes and Microscopes Open
We present the Hyper-Pascal Lattice (HPL) — a revolutionary coordinate system with theoretically infinite zoom capability, enabling continuous magnification from galactic scales (~10²¹ m) to subatomic scales (~10⁻¹⁵ m) and beyond, without …
View article: The Hyper-Pascal Lattice: A Combinatorial Framework for Hierarchical Discrete Space
The Hyper-Pascal Lattice: A Combinatorial Framework for Hierarchical Discrete Space Open
We introduce the Hyper-Pascal Lattice (HPL), a novel mathematical structurethat reinterprets Pascal’s Triangle as an infinite hierarchical network with binaryaddressing. Unlike the classical arithmetic interpretation of binomial coefficien…
View article: The Epistemic Impossibility Principle: Nothing is Impossible Until Someone Discovers It is Possible
The Epistemic Impossibility Principle: Nothing is Impossible Until Someone Discovers It is Possible Open
We present a comprehensive investigation of the Epistemic Impossibility Principle (EIP), which posits that the impossibility of a proposition is contingent upon the current state of human knowledge and technological capacity, rather than a…
View article: The Epistemic Impossibility Principle: Nothing is Impossible Until Someone Discovers It is Possible
The Epistemic Impossibility Principle: Nothing is Impossible Until Someone Discovers It is Possible Open
We present a comprehensive investigation of the Epistemic Impossibility Principle (EIP), which posits that the impossibility of a proposition is contingent upon the current state of human knowledge and technological capacity, rather than a…
View article: MEASURABLE CHARACTERIZATION OF INTERMEDIATE CARDINALS: A CONDITIONAL FRAMEWORK VIA INFLUENCE FUNCTIONS ON P(N)
MEASURABLE CHARACTERIZATION OF INTERMEDIATE CARDINALS: A CONDITIONAL FRAMEWORK VIA INFLUENCE FUNCTIONS ON P(N) Open
We develop a measure-theoretic framework for characterizing sets with intermediatecardinality in models of ZFC + ¬CH. Given a set T ⊆ P(N) with ℵ0 < |T | < 2ℵ0 satisfyingspecific density and measure-theoretic conditions, we construct an ex…
View article: Intermediate Cardinal Structures via Measurable Influence Functions: A Conditional Framework on P(N) with Extension to Cosmological Scalar Field Interpretation
Intermediate Cardinal Structures via Measurable Influence Functions: A Conditional Framework on P(N) with Extension to Cosmological Scalar Field Interpretation Open
Related Work:This paper complements and extends the framework developed in Categorical Correspondences between Mathematical Structures and Cosmological Spacetimes (https://doi.org/10.5281/zenodo.18027745), providing the measure-theoretic f…
View article: Intermediate Cardinal Structures via Measurable Influence Functions: A Conditional Framework on P(N) with Extension to Cosmological Scalar Field Interpretation
Intermediate Cardinal Structures via Measurable Influence Functions: A Conditional Framework on P(N) with Extension to Cosmological Scalar Field Interpretation Open
Related Work:This paper complements and extends the framework developed in Categorical Correspondences between Mathematical Structures and Cosmological Spacetimes (https://doi.org/10.5281/zenodo.18027745), providing the measure-theoretic f…
View article: MEASURABLE CHARACTERIZATION OF INTERMEDIATE CARDINALS: A CONDITIONAL FRAMEWORK VIA INFLUENCE FUNCTIONS ON P(N)
MEASURABLE CHARACTERIZATION OF INTERMEDIATE CARDINALS: A CONDITIONAL FRAMEWORK VIA INFLUENCE FUNCTIONS ON P(N) Open
Related Work:This paper complements and extends the framework developed in Categorical Correspondences between Mathematical Structures and Cosmological Spacetimes (https://doi.org/10.5281/zenodo.18027745), providing the measure-theoretic f…
View article: MEASURABLE CHARACTERIZATION OF INTERMEDIATE CARDINALS: A CONDITIONAL FRAMEWORK VIA INFLUENCE FUNCTIONS ON P(N)
MEASURABLE CHARACTERIZATION OF INTERMEDIATE CARDINALS: A CONDITIONAL FRAMEWORK VIA INFLUENCE FUNCTIONS ON P(N) Open
We develop a measure-theoretic framework for characterizing sets with intermediatecardinality in models of ZFC + ¬CH. Given a set T ⊆ P(N) with ℵ0 < |T | < 2ℵ0 satisfyingspecific density and measure-theoretic conditions, we construct an ex…
View article: Bridging the Quantum-Classical Chasm via Categorical Completion: A Rigorous Framework with Testable Predictions
Bridging the Quantum-Classical Chasm via Categorical Completion: A Rigorous Framework with Testable Predictions Open
We present a mathematically rigorous resolution of the quantum–classical incompatibility using *Categorical Information Dynamics* (CID). In this framework, quantum mechanics (incomplete metric spaces, ℵ₀) and general relativity (complete m…
View article: Bridging the Quantum-Classical Chasm via Categorical Completion: A Rigorous Framework with Testable Predictions
Bridging the Quantum-Classical Chasm via Categorical Completion: A Rigorous Framework with Testable Predictions Open
We present a mathematically rigorous resolution of the quantum–classical incompatibility using *Categorical Information Dynamics* (CID). In this framework, quantum mechanics (incomplete metric spaces, ℵ₀) and general relativity (complete m…
View article: Bridging the Quantum-Classical Chasm via Categorical Completion: A Rigorous Framework with Testable Predictions
Bridging the Quantum-Classical Chasm via Categorical Completion: A Rigorous Framework with Testable Predictions Open
We present a mathematically rigorous resolution of the quantum–classical incompatibility using *Categorical Information Dynamics* (CID). In this framework, quantum mechanics (incomplete metric spaces, ℵ₀) and general relativity (complete m…
View article: CATEGORICAL CORRESPONDENCES BETWEEN MATHEMATICAL STRUCTURES AND COSMOLOGICAL SPACETIMES: Complete Formalization with Variational Dynamics and Operational Empirical Protocols
CATEGORICAL CORRESPONDENCES BETWEEN MATHEMATICAL STRUCTURES AND COSMOLOGICAL SPACETIMES: Complete Formalization with Variational Dynamics and Operational Empirical Protocols Open
We present a rigorous mathematical-physical framework establishing structuralcorrespondences between a subcategory of number systems with metric completion(NumInf₀) and a physical category of Lorentzian spacetimes with operational informat…
View article: CATEGORICAL CORRESPONDENCES BETWEEN MATHEMATICAL STRUCTURES AND COSMOLOGICAL SPACETIMES: Complete Formalization with Variational Dynamics and Operational Empirical Protocols
CATEGORICAL CORRESPONDENCES BETWEEN MATHEMATICAL STRUCTURES AND COSMOLOGICAL SPACETIMES: Complete Formalization with Variational Dynamics and Operational Empirical Protocols Open
We present a rigorous mathematical-physical framework establishing structuralcorrespondences between a subcategory of number systems with metric completion(NumInf₀) and a physical category of Lorentzian spacetimes with operational informat…