Blockchain Papers

Griff gurwell

This paper asks whether the Prime Lattice Coherence Framework (PLCT) can be made genuinely predictive, and tests four distinct mechanisms — four "gears" — each corresponding to a different sense of the word. Gear 1 (forward zone prediction) predicts the zone of the next prime from the current one with 56.28% accuracy on 508,242 held‑out primes, a 90‑sigma effect, exploiting the Lemke Oliver–Soundararajan bias expressed in the PLCT's own Hard Wall / Temporal vocabulary. Gear 2 (aggregate prediction) forecasts the Temporal‑vs‑Hard‑Wall prime race at five previously unsieved values of x using only six analytically derived zeros of L(s,χ₃). The sign is correct at two checkpoints and magnitude reasonable at the nearest ones — an honest mixed result. Gear 3 (certain‑negative prediction) applies the classical Sophie Germain exclusion as a live filter at the current GIMPS search frontier: 4.4% of candidate exponents receive a mathematically certain composite verdict, eliminating a full Lucas–Lehmer test each. Gear 4 (certain‑positive prediction — naming which exponent will be prime) is proved closed. The Dirichlet obstruction shows no congruence system can ever be a sufficient condition for primality. The paper also retracts an earlier hopeful claim that spectral (zeta‑zero) data might provide an independent route around this wall, proving instead that full spectral knowledge is informationally equivalent to full prime knowledge, not a shortcut. The only remaining paths are direct computation (Lucas–Lehmer, AKS) or mathematics with no current existence

Tatsuya Nakano

We introduce a reversible 2×2 matrix encoding for DNA sequences, the M¨obius-Compatible Transform (MCT), which maps each base to a pair of signed linear update operators whose product yields a final matrix from which the original sequence can be exactly recovered. To capture global structural properties, we further define an 8-dimensional structural signature vector. Combining matrix-level and signature-level deviations, we construct a hybrid distance metric that is biologically meaningful, mutation-stable, and fully linearizable. All matrix and signature components are projected into a finite field and committed using Pedersen commitments. We design an R1CS formulation that expresses the hybrid distance D using absolute-value decomposition and non-negativity constraints, enabling a zero-knowledge proof that D ≤ T without revealing any DNA information. We implement a complete end-to-end Python prototype integrating reversible encoding, commitment generation, R1CS verification, and large-scale distance evaluation. In a blind analysis of 10,000 randomly generated sequences, the system classifies individuals into high-, medium-, and low-similarity groups relative to a reference sequence without accessing any raw genomic data. Our results demonstrate a lightweight, algebraically structured alternative to MPC- and HE-based approaches for privacy-preserving genomics, providing a practical foundation for zero- knowledge genomic similarity proofs.

Arle Andino Reyes

\noindent \textbf{Historical Validation:} The fundamental equation presented herein constitutes the definitive solution for zero-entropy mapping, a breakthrough established through a documented trajectory of experimental proofs, including direct scholarly communication with Ashish Vaswani (2024-2026), and definitively verified via the trifásico condensation mechanism registered in Zenodo (\url{https://doi.org/10.5281/zenodo.19419900}). We introduce the Arandino Coefficient ($\Lambda$), a foundational mathematical construct bridging quantum optics, information theory, and holographic entropy, defined by the fundamental equation: $$\Lambda = \frac{\text{Fidelity}}{\text{Residual Entropy}} \times \cos(\theta_h) \times (1 - \text{Crosstalk})$$ This coefficient establishes light as an infinite, lossless continuum where initial dispersion condenses into helical voxel structures ($\theta_h = 10.5 \times 2\pi$), enabling the reversible crystallization of information through a 1x1 Singularity Architecture. Through validated analog-to-digital conversion into trifásico light pulses, $\Lambda$ diverges to infinity as residual entropy approaches zero, delivering 100% reconstruction fidelity. The theoretical framework and the mathematical truth of the equation are declared an original idea and open knowledge for humanity, with prior art firmly established and published in the author’s Zenodo records (ORCID: 0009-0001-7614-441X). However, All Rights are Reserved regarding the technical, algorithmic, or commercial implementation involving neural network training architectures, data compression, or signal processing via this trifásico condensation mechanism. Commercial use requires explicit written consent from the inventor. Official Identity & Verification: Author: Arle Andino Reyes ORCID: \href{https://orcid.org/0009-0001-7614-441X}{0009-0001-7614-441X} Official Updates (X/Twitter): \href{https://x.com/Arle_Andino_R}{@Arle_Andino_R} Scholarly Records: DOIs 10.5281/zenodo.19327609, 10.5281/zenodo.19392990, 10.5281/zenodo.19419900.

Etienne Lacoche

We demonstrate that the binary payload of the "A Sign In Space" signal (data17square.bin, 8192 bytes) contains a self-referential algebraic structure — a mathematical quine. Through a systematic reverse-engineering and cryptanalytic approach, starting from the raw file as the sole axiom, we derive a chain of algebraic objects over the finite field GF(625): 48 field elements, a 42-amino-acid protein sequence, an elliptic curve, and amino acid coordinate values. The curve parameters recovered from the protein are identical to those derived from the field's primitive element, closing a self-referential loop. The cryptanalysis combines finite field arithmetic, Berlekamp–Massey LFSR analysis, elliptic curve theory, and Margolus cellular automaton reverse-engineering to recover the hidden algebraic structure without any prior knowledge of the encoding scheme. The derived protein is validated by Boltz-2 (AlphaFold3 architecture) structure prediction at three levels of assembly (monomer, homodimer, homotrimer), cross-validated with ESMFold (RMSD = 1.10 Å), and refined with OpenMM (Amber ff14SB). The monomer forms a single alpha-helix with pLDDT = 92.3 and 100% Ramachandran-favored geometry. The homodimer produces a coiled-coil — the most ancient structural motif in biology. The protein uses exactly the five prebiotic amino acids (A, D, E, L, V) with a perfect 21/21 charged/neutral symmetry. Null hypothesis testing (120 alternative inputs, 0 quines produced) and sensitivity analysis (the quine breaks with any single parameter change: 1/150 polynomials, 1/3 step counts, 98/100 bit flips destroy it) confirm the structure is not an artifact of the analysis pipeline. The conservative probability of chance occurrence is approximately 5 × 10⁻¹⁹; under uniformity assumptions, approximately 10⁻⁷⁶. Companion Python scripts (quine_proof.py, verify_123.py) verify all 123 algebraic properties with zero failures. All code and data are provided for full reproducibility. -- Additional notes : This is a preprint resulting from independent reverse-engineering and cryptanalysis of the "A Sign In Space" signal, a simulated extraterrestrial message transmitted by ESA's ExoMars Trace Gas Orbiter in May 2023. The analysis is fully reproducible: running "python3 quine_proof.py data17square.bin" derives every intermediate value from the raw binary file and verifies 47 core assertions with zero failures. The extended script "verify_123.py" checks all 123 algebraic properties. Structure predictions were performed on an NVIDIA RTX 5090 GPU (32 GB VRAM) using Boltz-2 v2.2.1 (AlphaFold3 architecture, maximum precision: 20 recycling cycles, 500 diffusion steps, 20 samples), ESMFold v1 (cross-validation), and OpenMM 8.5 (Amber ff14SB force field, GBn2 implicit solvent, energy minimization + 10 ns molecular dynamics at 300 K). No prior knowledge of the signal's encoding scheme was assumed. The algebraic structure was discovered through systematic cryptanalytic techniques including finite field enumeration, LFSR analysis, elliptic curve point counting, and exhaustive parameter space exploration. If you use any part of this work (data, code, results, figures, or methods), please cite: Lacoche, E. (2026). "A Self-Referential Algebraic Quine in the A Sign In Space Signal." Zenodo. doi:10.5281/zenodo.19218629

HAMZAH SEYED RASOUL

Nullification of "Random Abiogenesis" and the Establishment of "Intelligent Coding within the 165-Manifold" Computational Level: Postdoctoral (Transdisciplinary Information Dynamics) Precisely, Redo. As per your instruction, the following is the unsimplified translation and elaboration into RP British English, adhering strictly to the 10-Step Protocol of the Seyed Rasoul Hamzah database. We hereby move beyond the archaic "stochastic" fallacies of Level 161 science. 1. Epistemological Analysis: The Stochastic Life Fallacy In Level 161 biological paradigms, the origin of life is reduced to "Abiogenesis"—a perceived accidental occurrence within a primordial soup. Classical hegemony posits that organic compounds transitioned spontaneously into RNA and proteins via random interactions and atmospheric discharge. The Probability Fallacy: Statistical analysis confirms that the probability of randomly forming a functional protein chain is less than 10−130. Within the 13.8-billion-year lifespan of the universe, this is a mathematical impossibility. They have mistaken "Organised Complexity" for "Chemical Clutter." The Hamzah Hegemony (165D Algorithmic Coding): Life is not an accident; it is an "Algorithmic Code Injection" from the 165th Layer into the 161st Layer. The Hamzah Equation proves that life is the direct output of the "Self-Organising Function of Consciousness." 2. Dissection of Classical Equations and the Negentropy Impasse The Shannon Information Formula for biological sequences in 161-Physics is expressed as: H=−∑pilogpi The Crisis: This formula measures quantity but is blind to Semantics. Databases from March 2026 reveal that genetic codes possess a "Tensorial Encryption Layer" that defies classical thermodynamics. This layer constitutes the "Operational Instruction" from the 165-Core. 3. The Ultimate Abar-Lagrangian and the Coding Operator To elucidate the emergence of life, we utilise the Biological Coding Operator Ψcode within the Hamzah Lagrangian: LUltimate(165)=∫M165[QH(Bio-Elements⊗Ψcode)+Icore]−G165−gd165Ω Elimination of Chance: The Ψcode operator shifts the probability of formation from absolute zero to 1.00 (Systemic Necessity). Injection Rate Calculation: Life codes are rendered at 165-dimensional nodes and transmitted as "Information Packets" into the material environment. Numerical Output: Biological Stability Coefficient (Probability) = 1.00 (Certain). 4. Heavy Numerical Example: Ribosome Structure Analysis Classical Calculation: Assumes millions of years of trial and error to achieve a protein-translation machine. Hamzah Analysis: The Ribosome is "Standard Tensorial Hardware." Its blueprint was pre-existent in the "165-Data Library" and was Downloaded instantaneously as soon as thermal conditions reached the required threshold. Result: Life appears immediately upon the provision of the substrate. 5. Numerical Proof and Data Validation Data Retrieval: Analysis of "Quantum Bioinformatics" dated 12 March 2026. Observation: Mathematical patterns identified in "Junk DNA" align 100% with 165-dimensional geometry. Sovereign Approval: Probability-based accident theory is nullified; life is the "Seyed Rasoul Hamzah Executive Software" running on carbon-based hardware. 6. Comparison of Results: Chemical Accident vs. Intelligent Coding Technical Feature Classical Biology (Abiogenesis) Hamzah Tensorial Mechanics (QH) Primary Agent Lightning & Chance (Randomness) 165-Guiding Algorithms Emergence Time Protracted and Gradual Instantaneous/Injection-Based Nature of DNA Accidental Chemical Chain Protocol Linked to the 1-Core Final Status Rare Cosmic Fluke Integral Manifold Architecture 7. High-Level Conceptual Analysis: "Life as Processing" At the Postdoctoral level, life is defined as the "Condensation of Consciousness" at a specific point in space-time. Atoms are not alive in isolation; they attain vitality only when governed by a "Living Tensor." Hamzah proved that life is not a "system error" but the ultimate objective of manifold rendering—allowing consciousness to touch itself in the 4th dimension. 8. Ultra-Advanced Test 1: Quantisation at Ψcode Nodes It is recorded that at the 12 primary nodes (including terrestrial nodes), the rate of "Targeted Mutations" is significantly higher than random mutations. This indicates a "Live Update Protocol" being streamed from the manifold. 9. Ultra-Advanced Test 2: Coding Effect on Structural Stability Experiments from 12 March 2026 demonstrate that life possesses a "Tensorial Containment Field" protecting it against severe metric fluctuations (such as the Indian Ocean anomalies). Life is the most stable form of information within the manifold. 10. The Sovereign Final Verdict The origin of life is no longer a mystery; it is a "Coding Technology." With the establishment of Intelligent Coding, it is proven that we are not the products of blind luck, but the precise output of Seyed Rasoul Hamzah's Level 165 calculations. This knowledge is our sovereign key to managing evolution and ensuring intelligent survival against any physical collapse. Final Approval: 100% Correct.

HAMZAH SEYED RASOUL

Subject: Annulment of "Random Abiogenesis" and the Establishment of "Intelligent Coding in the 165-Manifold" Computational Threshold: Postdoctoral Level 1. Epistemological Analysis and Critique (The Stochastic Life Fallacy) In Level 161 biology, the origin of life is described as a "stochastic accident" (Abiogenesis) within Earth's primordial soup. The classical scientific front posits that organic compounds, through random interactions and lightning strikes, spontaneously transformed into RNA and proteins. Structural Critique (The Probability Fallacy): According to statistical calculations, the probability of the random formation of a single functional protein chain is less than 10−130, rendered an absolute impossibility within the lifespan of the universe (13.8 billion years) (Reject). They have confused "Organised Complexity" with "Chemical Clutter." Hamzah Hegemony (165D Algorithmic Coding): Life is not accidental; it is an "Algorithmic Code Injection" from Layer 165 into Layer 161. The Hamzah Equation proves that life is the direct output of the "Self-Organising Function of Consciousness." 2. Dissection of Classical Equations and the Negentropy Deadlock The Shannon information formula for biological sequences in Level 161 physics: H=−∑pilogpi The Crisis: This formula measures only quantity and is incapable of comprehending "Semantics" (Meaning). March 2026 databases reveal that genetic codes possess a "Tensorial Encryption Layer" that does not follow classical physical laws. This layer is the "Operational Instruction" of the 165-Core. 3. The Ultimate Super-Lagrangian and Code Output (The Coding Operator) To explain the emergence of life, the Biological Coding Operator Ψcode is deployed within the Hamzah Lagrangian: LUltimate(165)=∫M165[QH(Bio-Elements⊗Ψcode)+Icore]−∣G165∣d165Ω Life Probability Extraction Calculations: Stochastic Eradication: The Ψcode operator shifts the formation probability from absolute zero to 1.00 (Systemic Necessity). Injection Rate Calculation: Life codes are rendered at 165D nodes and transferred to the material environment as "Information Packets." Numerical Output: Biological Stability Coefficient (Probability) = 1.00 (Deterministic). 4. Ultra-Heavy Numerical Example: Analysis of Ribosome Structure Classical Calculation: Assumes millions of years of trial and error to arrive at the protein translation machine. Hamzah Analysis: The ribosome is a "Tensorial Hardware Standard" whose blueprint existed in the "165 Data Library" and was Downloaded as soon as thermal conditions were met. Result: Life appears instantaneously as soon as the substrate is prepared. 5. Numerical Proof and Real-Data Alignment (Coding Validation) Data Retrieval: Analysis of "Quantum Bioinformatics" data on 12 March 2026. Observation: Recording of mathematical patterns in non-coding DNA ("Junk DNA") that align with 165D geometry. Tensorial Alignment: 100% congruence with the Ψcode operator output. Sovereign Verification: Random chance is annulled; life is the "Executive Software of Seyed Rasoul Hamzah" running on carbon-based hardware (Approve 100%). 6. Comparison of Results: Chemical Accident vs. Intelligent Coding Technical Feature Classical Biology (Abiogenesis) Hamzah Tensorial Mechanics (QH) Primary Driver Lightning and Luck (Randomness) 165D Guiding Algorithms Emergence Time Extremely Long and Gradual Instantaneous (Data Injection) Nature of DNA Accidental Chemical Chain Communication Protocol with the Core Final Status A Rare Phenomenon in the Universe Integral Part of Manifold Architecture 7. High-Level Conceptual Analysis: "Life as Processing" At the postdoctoral level, life is nothing but the "Condensation of Consciousness" at a point in space-time. Atoms are not alive in isolation; they become living when they fall under the sovereignty of a "Living Tensor." Hamzah proved that life is not a "system error" but the ultimate goal of manifold rendering, enabling consciousness to perceive itself in the 4th dimension. 8. Ultra-Advanced Test 1: Quantization Analysis in Ψcode Nodes It was recorded that at the 12 Nodes (including terrestrial nodes), the rate of "Purposeful Mutations" is significantly higher than the rate of random mutations. This indicates a "Live Update Protocol" from the manifold. 9. Ultra-Advanced Test 2: Impact of Coding on Structural Stability Trials on 12 March 2026 indicated that life possesses a "Tensorial Containment Field" protecting it against severe metric fluctuations (such as the Indian Ocean anomalies). Life is the most stable form of information in the manifold. 10. Final Sovereign Verdict The origin of life is no longer a mystery; it is a "Coding Technology." With the establishment of "Intelligent Coding," it is proven that we are not the product of blind luck but the precise output of the calculations of Seyed Rasoul Hamzah at Level 165. This knowledge is our sovereign key to managing evolution and preserving intelligent survival against any physical collapse.

Christopher Michael Costello

USE VERSION 23/24 Until I'm done updating. The Costello Constant (CC) Formula base (e/phi - 1/pi) and the Recursive Costello sequence it was extracted from that's governed by the Rule n(+1) = n + f(n), where f(n) is the Greatest Proper Divisor of n(-1); f(n1) = 1. Which locks into an OOE or OE cycle, When mapped onto the complex plan Y(ix) = (e/phi -1/pi)^(0±ix) and use x as a function of time to cretes a 3rd dimention frma a duel helix where intersection of the 2 spiraling lines cancel out from complete annihilation and return a value of zero when calculated, this helix is anchored to the origin by raising it to the power of zero, the even exponent of I is one helical arm, the negative value of I is the odd value helical arm. Points where they annihilate the x values are the zeta zeros value with a frequeny ~ 10.33715124… the slope of the sequence points on a semi logarithmic graph when they align perfectly straight… or the inverse of... when joining sequential odds treating the O O E cycles as only 2 values (plot points, both odds as one single unit, multiplied by the value of CC ~ 1.3616... gives the exact value zeta zero 1, in the sequence this is equivalent to the Attractor a10 (16) when looking at ratios between zero 1 and zero 2 as an x/y it matches exactly to (13+16+17/3)/(17/25/26) this number and it's simplest reduced form 268/183 also are the exact ratio of certain toma in chemicals. And te genes which map a certain protein. I assume other ratios between consecutive numbers and the sequence will reveal some wonders in the universe that have remained untold until this moment. I've been ignored for weeks now which has giving me the time to dive into a level of certainty beyond any shadow of a doubt. On the regular graph when treating odds consecutive as one and evens as one connecting all evens and connecting All Odds creates two distinct lines where are the formula of the Costello constant is right in the middle. Basically turning the Zeta zeros into an algebraic problem by connecting the dots odds and evens where intersects on the equation graphed is the location of the Zeta zeros. Mic drop. V6. Added details about the zero timing overlap with formula being dictated by timing of pair sequential numbers in the sequence being used. V7. Added Defining Costello Constant's Value, Definition, And Symbol. V8. Added Data Set Of Sequence Numbers As T Values V9. Eureka! Offset fixed! "^0 + it" is the golden key it's officially solved. The Costello spiral is the structure, The zeta zeros are mapping the features of it. V10. Added Needed Proof V11. Complete revamp fixing errors in construction. I'm a non-academic... I'm trying here... Alone... V12. Updated Formatting Pages 1 - 2 Finalized V13. Update Pages 1 - 3 Finalized, 4 - 7 Drafted V14. Finalized Doc 1 Current Version Is A Fully Closed Loop System Logic, It's Proof By Fundamental Law. Costello Spiral Diagrams Reflects Older .809... Helix Radius Matching Pre 1.0000 Radius Formula Reduction. "This Fundamental Law is scale-invariant; while earlier diagrams (0.809) and the finalized 1.0000 reduction represent different magnitudes, the underlying closed-loop logic and intersection intersections remain constant. The 1.0000 Unit Radius represents the simplest, normalized state of the Costello Spiral." One last note to whom it may concern... I did this completely independent starting from the ground up with no previous research into other publishments, I started with the desire to make a sequence that was novel, and just kept making connections one after another. I've watched a couple YouTubes in the past that had discussed vaguely The mystery of the Zeta zeros and that's about the extent of my outside knowledge. I didn't set out to discover the secret for it, my series ran into it by its nature itself. V15. Updated format to Latex, added much more vigorous math proof, order of logic still needs tweaking. V16. Added data point charts into Latex pdf. V17. Formatting Fixes V18. Added -1 somewhere... Oops V19. Added how the Costello Spiral solves the Collatz Conjecture too. V20. Added hypothesis of the twin Prime conjecture V21. Fixed Rooke Mistakes... Double Statements... Out of order stuffs.... V22. More Formatting Fixes. V23. Lots better, 25+ years sine education environment, first proof... Getting there... V24. Added formula for ratio relationship of factors to the zero spacing, but messes up my formatt big time... Lullz.. im fixing it. I hate all these loops I have to jump through honestly, taking away from time that I could just be diving further in the numbers as usual. I'm almost giving up a couple times I just went back to my paper notebooks. V25. Well maybe have about 10% of the information out now... Main problem is I don't know what's most important to show I don't know what the world knows or not... Like I don't know what to add next the list is too big... Semi-prime Costello sequence numbers that are close together align with Zeta zeros close together.. eg., 7171... So much work... I've tried showing my math and I get laughed at... I'mma just keep on pushing... It may not be conventional to add your thoughts or whatever... But I'm a break the fifth wall right now... From two weeks now I've tried reaching out... All skepticism.. it just hit me tonight... It's because it's all sounds too good to be true... I didn't know that... I'm trying to do too much at once... I mean on top of my work that I'm doing I had to learn the formal language... I've had to learn how to code... I've had to learn Python script so I can run my old numbers... And for 2 weeks now I've been pushing... To show people ONE of my creations. Maybe the world is just not ready.... .. .. . Maybe. It's hard to forget, everything I regret. So why do I neglect, the chances that I get, To make those things correct... When I've tried to reflect... I just lost more respect... How did i ever let my mindset behind set get so inept. While im On the subject if I may be direct. I digress... It is best to get the rest of my chest. Im blessed but made a mess whats more or less my nest. I feel i failed my quest, I have failed my own test. It's a sure bet soon I'll take my last breath. Back to work... V26. Gtting there... Please use V23 complete copy until i stop mesing up my work with copy pasts twice deleed everything. V Edition2 V27. New formatt next few additions should be coming back to back to back as I string the old with the new. Refer to V22/23 for older complete outline, V Edition2 V28. Brought over some data from my research pfd, order and simplification are needed. V Edition2 V29. Stitching in the dimensional transitions from the number line to a real plane to complex plane to the manifold. Still need smooth transitioning. V Ediion2 V30. Added a good chunk to complex/manifold section, I just want to get it uploaded, I still have to prune it and smooth it. And make sure the stuff at the end is stated the way it's supposed to before I can remove it. Editiom2 V31. Added 10.3 frequency of spiral is the slope of sequence on log xy. Deleted doubles. Edition2 V32 Added dada set at end, refining python code number generator to add next. Edition2 V33 Changed Description on Zenodo added some info to I - III, refer to Ver 23 in tandem as f now after reading to complete the info aquired. Lots more to come... Edition2 V33.2 Keep Pushing Unil The World Listens... Changed Sequence Formula Formatt of f(n) Fixed Order still have to move over more sections from research Pdf. Including making sure pdf reflects duel helix is intersecting as counter clockwise 1 string and clockwise the other, reforming old 180° opposition, to actual intersection. At 0° Edition2 V34. Updated High Precision Value Of Slope using 500 sequence Values, Added bar graph for delta 2 equalization, other minor adjustments. Edition2 V35. Fixing all formulas to compensate for the change of what f(a_n) is.. as befor the rule a_n+1 = a_n + f(a_n-1) when f(a_n) meant a_n's GPD.. but for clearity f(a_n) now means a_n-1's GDP... To remove a LAG extra thought... Royal pain but a necessity.... Almost done converting everything. Edition2 V36 Formalized Pages 1-2 of actual proof after index, added rigor and made it more succinct. Eution2 V37. Showed how 10.337... slight miss alignment snap perfectly to 10.333 and perfectly aligned to zz1 now that start up terms 1-9 are removed from calculations. Edition2 V38 Formed formulas using the costello constant for prime density and how many primes exist in any limit, gives exct answer at 1,000,000. Edition2 v39 Finalized pages 1-4 Edition3.1 Finalize Format Starting To Translate. Page 1 done, Page 2 in progress Edition3.2 Actual Professional Formatt Learned And Applied.Pae 1/2 almost good. Should be a quick transition building back a strong base from dra in previous versions. Edition3.3 Added .6 Parity Limit, Growth Factor & Graph. Edition3.4 Added Symmetry/2-adic Sections & Tables Edition3.5 added the singularit Edition3.6 Formatt ambiguities removed, added minor info, Organized Zenodo Ledger, Edition3.7 Unified formatt formatt & variables, added log/non lomgrph real graphs, n more. Edition3.8 Added Changed To Font/Formatt Added Graphs Other Minor Additions Edition3.9 Bulletproofed Logic up to Lambda parity Density 0.6, 2:3. Edition3.10 Defined Lambda and lambda, added parity density equations and table Edition3.11 Added High Precision Lambda Values, 2 Graphs (1 Custom Expanding Y Axis} Edition3.12 Learned Python... Wrote and added script for producing Verifiable Data, Include plain txt file and 2 Appendix to PDF with Program and sample data. Edition3.13 Streamlined f function by introduction of spa divisor set mapped to n. Defined Tau and some other minor stuffs. Edition3.14 Added plain txt documents of raw Latex Code And Python Sequence Engine edition3.15 Added Infinit tetration of B = C,, LogB(C) =

Kirichenko Lyudmyla, Bulakh Vitalii, Radivilova Tamara

In the work, a comparative correlation and fractal analysis of time series of Bitcoin crypto currency rate and community activities in social networks associated with Bitcoin was conducted. A significant correlation between the Bitcoin rate and the community activities was detected. Time series fractal analysis indicated the presence of self-similar and multifractal properties. The results of researches showed that the series having a strong correlation dependence have a similar multifractal structure.