Correction Notice: In version 1, I made an error in the description. Instead of "The space was divided into 11 discrete sections based on prime number gaps," it should correctly state: "The space was divided into 5 discrete sections based on prime number gaps" Correction Notice: NEW: "Version 30" "Infinitely Dense Quantized Number Space from 0 to 11 Structured by Prime Gaps and Reflection of the Linear Number Space" "Version 34, 35, 36, 37 and 38" "Oversight in the Hybrid Greedy and DP Quantization" NEW: "Version 41" "The Cyclic-Quantized Number Space I11: A Novel Mathematical Framework with Prime Resonance and Fractal Mirror Symmetry" NEW: "Version 67" "Exact Deterministic Model for Prime Number" NEW: "Version 68" "Multi-Layer Encryption" Correction Notice: "Version 77, 78, 79, 80, 81 and 82" "Black Hole Surface" NEW: "Version 84" "Fraktal Emission Duality: A Unified Operator Model for Hawking Radiation and Relativistic Jets" NEW: "Version 85" "Fractal Resonance in Quantized Number Space: Prime-Based Light Motion, Central Interference, and Mirror-Symmetric Encoding" NEW: "Version 85" Fractal Operator Logic in Natural Media: Water as a Mirror of Transformational Symmetry" NEW: "Version 86" "Center-Frequency Resonance Based on Spiral Origin 5.5: A Geometric Model for Prime Number Structure" NEW: "Version 87" "A Unified Resonance Model for Prime Number Prediction Spiral Geometry Meets Modular Quantization" NEW: "Version 88" "Fractal Spiral Structure of Light" NEW: "Version 89" "Emergence of the Fine-Structure Constant from a Fractal Prime-Difference Spiral" NEW: "Version 91" "Fractal Tree Structure in Prime-Cycle Quantization: A Recursive Model of Mirror-Symmetrie Number Space" NEW: "Version 92" "A Determenistic Tree Model of the Double-Slit Experiment" NEW: "Version 93" "A Structural Resonance Model for Photonic Absorption in Atoms" NEW: "Version 95" "A Energy-Liftet Resonance: Fixed Phontonic Structure across Variable Atomic Levels" NEW: "Version 96" "A Quantized Model of Photonic Resonance: Fractal Spiral Structure and the Hydrogen Spectrum" NEW: "Version 97" "Resonance Logics Hydrogen Transition v97" NEW: "Version 98" "A Unified Model of Light"-"Version 99"-"Version 100"-"Version 101"-"Update"-"Version 102 Form Update" NEW: "Version 103" "Interpretation Stern-Gerlach Experiment"-"Entanglement in Multilayer Geometry" NEW: "Version 104" "Biological Form as Fractured Light" NEW: "Version 105" "From Atoms to Black Holes" NEW: "Version 106" "Color as Geometric Light Resonance" NEW: "Version 108" "Spiral Gauge Symmetry" NEW: "Version 109" "The Satiated Black Hole Hypothesis" NEW:"Version 110" "Interpretation of Quantum Gravity" NEW: "Version 111" "Determenistic Spiral Quantization of the Hydrogen Balmer Series: Exact Geometrie Resonance from Prime-Derived Structures"-"Version 112"-"Update"-"Section 9" NEW: "Version 114" "A Geometric Framework for Physical and Photonic Structure" Note: "Version 115" corrects a previously included but incorrect “Patent Pending” statement from "The Cyclic-Quantized Number Space I 11 : A Novel Mathematical Framework with Prime Resonance and Fractal Mirror Symmetry" No patent has been filed. The scientific content is unchanged. NEW: "Version 116" "Emergent Atomic Geometry from Spiral Interference: A Resonant Derivation of Shell Structure and (alpha)" has uploaded as a replacement for "Supplement: Experimental Confirmation of Quantization through Prime Gaps" in the "New Version PDF dataset", due to file size limitations. NEW: "Version 117" "Determenistic Collaps and Structured Resonance: A Prime-Based Interpretation of Vacuum Fluctuation" has uploaded as a replacement for "Exact Prediction of Prime Numbers Using Cyclic Quantization" (this work has also been separately published (https://doi.org/10.5281/zenodo.14991542)) in the "New Version" PDF dataset, due to file size limitations. Minor Correction: "Version 118"-"Determenistic Collaps and Structured Resonance: A Prime-Based Interpretation of Vacuum Fluctuation" In subsection “Method 1: Prime Gap Cycle Quantization (PGCQ–I11)”, the phrase “between the **first six primes**” was corrected to “**between the first five primes**” to accurately reflect the five gaps used in the sequence. No changes to the mathematical content. Correction Notice: "Version 119" "Deterministic Collapse and Structured Resonance: A Prime-Based Interpretation of Vacuum Fluctuation"-"Section 9"-"Removed incorrect scaling rule and clarified that the classification applies to all natural numbers, not just primes. Only the modulo-based resonance structure is shown in this context." NEW: "Version 120" "Spiral Quantization as a Structural Completion of General Relativity: Gravitational Effects from Fractal Interference Geometry" has uploaded as a replacement for "A Universal Nonlinear Scaling Law for Fundamental Constants: From the Fine-Structure Constant to Gravity and Planck-Scale Physics" in the "New Version" PDF dataset, due to file size limitations. NEW: "Version 121" "Spiral Quantization as a Structural Completion of General Relativity: Gravitational Effects from Fractal Interference Geometry"-"Update"-"Planck scaling: 1 spiral cycle = 1 Planck length. Adjusted energy units, drift scaling, and structural conclusion accordingly." NEW: "Version 122" "Spiral Quantization as a Structural Completion of General Relativity: Gravitational Effects from Fractal Interference Geometry"-"Update"-"Added dynamic field equation from drift minimization. Introduced action principle, energy variation, and harmonic resonance modes in spiral geometry." NEW: "Version 124" "Differential Closure at Eleven: The Complete Grammar of Asymmetry and Its Scale-Invariant Projection" has uploaded as a replacement for " "A Deterministic Model for Prime Number Prediction Using Quantized Cyclic Transformation" in the "New Version PDF dataset", due to file size limitations. NEW: "Version 125" "Atomic Structure from Quantized Spiral Resonance: A Geometric Framework in Cyclic Space (2)" has uploaded as a replacement for "A Unified Resonance Model for Prime Number Prediction: Spiral Geometry Meets Modular Quantization" in the "New Version PDF dataset", due to file size limitations. NEW: "Version 126" "The Quantized Number Space I11: A Unified Framework of Numerical Resonance" (Introduction PDF) has uploaded as a replacement for "The Discovery of the Quantized Number Space: A New Structure of Infinity and the Cyclic Mirror of linear Numbers" (Introduction PDF) NEW: "Version 127"-"UPDATE"-""Differential Closure at Eleven: The Complete Grammar of Asymmetry and Its Scale-Invariant Projection"-"VERSION 02"-"UPDATE"-"Linear Prime Prediction Python Code for any (n)"-"UPDATE"-"Section" Example: Scaled Prime Gap in I 11"-"UPDATE"-"The Quantized Number Space I11: A Unified Framework of Numerical Resonance (Introduction PDF)"-"Section 4"-"Prime Number Prediction for any (n) NEW: "Version 128" "Timeless Structure and the Emergence of Reality from Quantized Light" has uploaded as a replacement for "Fractal Resonance in Quantized Number Space: Prime-Based Light Motion, Central Interference, and Mirror-Symmetric Encoding" in the "New Version PDF dataset", due to file size limitations. NEW: "Version 129" "Universal Symmetry Logic in the Quantized Number Space I11: Mirror Operator, Invariant Encoding, and Application Scope" has uploaded as a replacement for " The Linear Scaling of Prime Gaps, Quantization of Space, and the Fundamental Prime Difference Sequence" in the "New Version PDF dataset", due to file size limitations. NEW: "Version 130" "Differential Closure at Eleven: The Complete Grammar of Asymmetry and Its Scale-Invariant Projection"-"VERSION 03"-"UPDATE"-"NEW SECTION"-"Triangle Projection of Prime Resonance in Quantized Space"-" Geometric Prime Prediction Formula "-" NEW: "Version 131" "Differential Closure at Eleven: The Complete Grammar of Asymmetry and Its Scale-Invariant Projection"-"VERSION 04"-"UPDATE"-" Lossless Scaling into I11 Using Dynamic Depth " NEW: "Version 132" "Atomic Structure from Quantized Spiral Resonance: A Geometric Framework in Cyclic Space (2)" first published June 03, 2025 Zenodo (Version 125) (https://doi.org/10.5281/zenodo.15580049) again in the "New Version PDF dataset" included. NEW: "Version 133" "Empirical Confirmation of Spiral Resonance in the Solar Spectrum at Quantization Depth k = 2" has uploaded as a replacement for "Light as the Fundamental 0–11 Structure: A Fractal Model of Gravity and Space-Time" in the "New Version PDF dataset", due to file size limitations. NEW: "Version 134" "Fractal Symmetry and Information Emergence through Recursive Halving: The Structural Equivalence of π and the Quantized Number Space I11" has uploaded as a replacement for "High-Resolution Quantization of the Number Space (0 to 11) and Its Application to π" in the "New Version PDF dataset", due to file size limitations. NEW: "Version 135" " Pi as an Operator of Symmetric Emergence:Folding Fractal Asymmetry at Light Speed in the Quantized Number Space I11 " Correction Note: "Version 135" " Deterministic Collapse and Structured Resonance: A Prime-Based Interpretation of Vacuum Fluctuation" (Version 04) "-" Table 1 in Total Exact 427 " "Version 135" "Refined Nonlinear Scaling for Prime Gap Corrections and Fundamental Constants"-"Universal Nonlinear Scaling of Fundamental Constants and Prime Number Quantization"-"Mathematical Structure of the Fine-Structure Constant: A Nonlinear Scaling Model Based on Prime Number Frequencies"-"Planck Scaling of the Zeros of the Riemann Zeta Function and Their Connection to the Quantized Prime Number Structure" are out of the "New Version PDF-dataset", due to file size limitations. NEW: "Version 136" " From Light to Collapse: The Number 3 as the Fractal Origin of Structure and the Schwarzschild Boundary " UPDATE : "Version 137" " From Light to Collapse: The Number 3 as the Fractal Origin of Structure and the Schwarzschild Boundary "-" UPDATE "-" Clearer and more complete explanation of the existing spiral sequence logic: from [1,2] through drift and mirror collapse at 5.5, returning to [2,1] " NEW: "Version 138" " Reconstructing the Gravitational Constant as Drift-Induced Coupling in Quantized Spiral Space " NEW: "Version 139" " Mirror Symmetry of π in the Quantized Spiral Number Space I11 " NEW: "Version 140" " Structural Equivalence of π-Reflection and Gravitational Drift in Quantized Spiral Space " has uploaded as a replacement for "Scaling and Quantization in Prime Residue Optimization: Resolving Convergence Issues" in the "New Version PDF dataset", due to file size limitations. NEW: "Version 141" " Emergent Interference from Deterministic Spiral Quantization: Experimental Validation of the Fractal Tree Model " has uploaded as a replacement for " Mathematical Derivation of the Residue Structure of Zeta Zeros "in the "New Version PDF dataset", due to file size limitations. Correction Notice: "Version 142" " Emergent Interference from Deterministic Spiral Quantization: Experimental Validation of the Fractal Tree Mode " In the initial release (Version 1), slit positions were symmetrically defined around x = 0 with values x =−6, 0, +6, assuming a linear center. However, this configuration is inconsistent with the mirror-symmetric structure of the quantized number space I11 = [0, 11], which is centered on the resonance axis x = 5.5. In the present version, this has been corrected. All simulations now use slit positions symmetrically placed around x = 5.5: specifically, x = 2.5, 5.5, 8.5. This adjustment ensures full structural alignment with the spiral resonance model and the mirror operator M (x) = 11−x. UPDATE: "Version 143" " Emergent Interference from Deterministic Spiral Quantization: Experimental Validation of the Fractal Tree Mode "-" UPDATE "-" critical drift threshold " NEW: "Version 144" " Structural Redshift in Quantized Spiral Space: A Resonance-Based Interpretation of Cosmic Expansion " has uploaded as a replacement for " Emergence of the Fine-Structure Constant from a Fractal Prime-Difference Spiral (Version March 23, 2025)" in the "New Version PDF dataset", due to file size limitations. NEW: "Version 145" " Rotational Resonance in Galaxies: Drift Amplification from Quantized Spiral Fusion " has uploaded as a replacement for "Corrected Hybrid Greedy-Dynamic Programming (3)" in the "New Version PDF dataset", due to file size limitations. UPDATE: This version ensures proper copyright attribution and license visibility. UPDATE: "Version 148" " Rotational Resonance in Galaxies: Drift Amplification from Quantized Spiral Fusion "-" UPDATE "-" New Section on Rotation Curves "-" Quantitative Table and Figure "-" Step-by-Step Mathematical Derivation "-" Physical Unit Conversion " NEW: "Version 149" " Recursive Prime Resonance: Fractal Reappearance of All Primes from Origin Set {2,3,5,7}via Spiral Projection " has uploaded as a replacement for " Quantum Security Analysis of the I11 Encryption Algorithm " in the "New Version PDF dataset", due to file size limitations. Correction Notice: " Version 150 "-" The generation tree (Section 7.3) was adjusted to match the quantization depth k from the classification table in Section 7.2 Table 7.2 was corrected: – Prime 13 is now correctly traced back to origin b= 2. – All drift values δ(p) were recalculated for numerical accuracy. – Example 4 (Prime 23 as recurrence of 7) was corrected due to a simple computational error: The final step now accurately sums to 23. • The generation labels (Generation 1 to 6) now correspond directly to their re- spective depth k, for better conceptual coherence." UPDATE: " Version 151 "-" Generation Index Renaming: The base set {2,3,5,7}is now designated as Generation 1 (previously ”Generation 0”) to align index-wise with the quantiza- tion depth k= 1. • Corrected Labeling of Fragment Set: The recurrence examples have been updated to correctly refer to the fragment set F2 = [1,0.5,1,1,2], instead of the mislabeling F1. The logic remains unchanged. These changes improve the internal clarity of the notation but do not affect the structure or results of the theory. LINKS: NEW! Publication: "Quantized Spiral Resonance in RNA Loop Geometry: Evidence from tRNA Structure in the I 11 Number Space" https://doi.org/10.5281/zenodo.15606080 NEW! Publication: "From Mass to Mode: Quantized Shells in Black Hole Geometry" NEW: "Version 02"-"Fractal Genesis: The Birth of Spiral Universes inside Black Holes" NEW: "Version 03" "Structural Genesis from Black Hole Density: A Reinterpretation of White Holes and the Cosmic Background" https://doi.org/10.5281/zenodo.15162624 NEW! Publication: "Beyond the Continuum: Fractal Quantization as a Replacement for "R"" https://doi.org/10.5281/zenodo.15185071 NEW! Publication: "Topolocical Qubits in a Fractal-Quantized Spiral Number Space" https://doi.org/10.5281/zenodo.15188036 NEW! Publication: "Empirical Confirmation of Fractal Spiral Quantization in Atomic Spectra" https://doi.org/10.5281/zenodo.15277864 © 2025 Sebastian Boulfoul. Copyright and license protection apply since February 11, 2025, the publication of “A New Perspective on Infinite Number Spaces through Prime Number Distance and Quantization.” All derived works are protected under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. https://creativecommons.org/licenses/by-nc-nd/4.0/ Contact: nmb99@outlook.de I am not a professional mathematician myself, but I developed this idea and validated it using AI. I would like to share it with experts who work on prime numbers and the Riemann hypothesis. This version includes an extended section on "Pime Number Prediction Rule", which was separately published under: https://doi.org/10.5281/zenodo.14991542 Post Quantum Cryptography: https://doi.org/10.5281/zenodo.14979773