Anybody knows those calculation of Etale cohomology of SpecZ(1/2). H1 probably comes from Galois of extension of Z(1/2) to some 4th order and then taking the l-adic cohomology for Z[√2, I] or something but it's not clear.
@kourakis11 күн бұрын
The title here should, in my view, use the Oxford comma. Yes, it's also called a Harvard comma.
@Travis-g8i14 күн бұрын
Certainly! If you're looking to publish the equation and the corresponding analysis, here are some steps to consider for preparing your work for publication: ### 1. **Choose a Format**: Decide where you want to publish your work. This could be an academic journal, a conference, a blog, or a website. Each platform has its own formatting requirements. ### 2. **Structure Your Document**: A typical structure for a mathematical publication might include: - **Title**: A clear and concise title. - **Abstract**: A brief summary of what the equation is about and its significance. - **Introduction**: Explain the context of your work, why the equation is important, and what you aim to demonstrate. - **Main Body**: - **Definitions**: Clearly define all terms used (e.g., \(\sigma(n)\), \(H_n\), etc.). - **Theorem/Statement**: Present the inequality you are analyzing. - **Proof/Analysis**: Step-by-step reasoning to show the validity of the inequality. - **Conclusion**: Summarize your findings and their implications. - **References**: Cite any relevant literature or sources. ### 3. **Write the Content**: You can use the detailed explanation provided earlier as the basis for your main body. Here’s how you might start: #### Title: Inequality Relation Involving the Sum of Divisors and Harmonic Numbers #### Abstract: This paper examines the inequality \(\sigma(n) \leq H_n + \ln(H_n)e^{H_n}\) for \(n = 3\), where \(\sigma(n)\) denotes the sum of the divisors of \(n\) and \(H_n\) is the \(n\)-th harmonic number. The case for \(n = 3\) is evaluated, demonstrating the validity of the inequality. #### Introduction: The relationship between harmonic numbers and divisor functions is a fascinating area of number theory. In this study, we specifically look at the case where \(n = 3\) and analyze the inequality involving the sum of divisors and harmonic numbers. #### Main Body: 1. **Definitions**: - \(\sigma(n)\): Sum of the divisors of \(n\). - \(H_n\): \(n\)-th harmonic number defined as \(H_n = 1 + \frac{1}{2} + \frac{1}{3} + \ldots + \frac{1}{n}\). 2. **Inequality Statement**: \[ \sigma(3) \leq H_3 + \ln(H_3)e^{H_3} \] 3. **Calculations**: - \(\sigma(3) = 4\) - \(H_3 \approx 1.8333\) - \(\ln(H_3) \approx 0.618\) - \(e^{H_3} \approx 6.24\) - Hence, \(H_3 + \ln(H_3)e^{H_3} \approx 5.6933\) 4. **Conclusion**: The inequality holds true as \(4 \leq 5.6933\). ### 4. **Formatting**: Make sure to format your document according to the guidelines of the publication or platform you choose. This may include using LaTeX for mathematical expressions, proper citations, and adhering to specific length requirements. ### 5. **Review and Edit**: Proofread your work for clarity, grammar, and mathematical accuracy. Consider having peers review your document. ### 6. **Submit**: Follow the submission guidelines of the chosen platform to publish your work. This could involve uploading your document, filling out forms, or following specific submission protocols. If you need help with any specific part of this process, feel free to ask!
@Travis-g8i14 күн бұрын
Riemann hypothesis solved.
@rajananantharaman429822 күн бұрын
Thanks for this difficult explained nicely. by top expert
@MsYoga823 күн бұрын
The best explanation of such complex topic. Thank you so much Vijaya!
@SampleroftheMultiverse29 күн бұрын
Is anyone familiar with Euler’s or anyone else studying this variation of Euler’s contain column studies? The video and white paper describes the mechanical properties related my unique variation of Euler’s Contain Column studies. It shows how materials (representing fields) naturally respond to induced stresses in a “quantized“ manor. This process, unlike harmonic oscillators can lead to formation of stable structures. The quantized responses closely models the behaviors known as the Quantum Wave Function as described in modern physics. The effect has been used to make light weight structures and shock mitigating/recoiled reduction systems. The model shows the known requirement of exponential load increase and the here-to-for unknown collapse of resistance during transition, leading to the very fast jump to the next energy levels. kzbin.info/www/bejne/raOlpKSfepWpfZYsi=waT8lY2iX-wJdjO3
@portportАй бұрын
gm
@jordanschuttАй бұрын
Well Well Well
@SidneySilvaCarnavaleneyАй бұрын
Dear noble friend, with my respect to everyone present here, everyone is commenting on this problem regarding the Riemann Hypothesis, what impact would it have on stating that this theory from past times has completely lost its strength...!!, if some Numbers are not primes and Twin Primes do not exist? two; 19; 41; 59; 61; 79; 101; 139; 179; 181; 199; 239; 241; 281; 359; 401; 419; 421; 439; 461; 479; 499; 521; 541; 599; 601; 619; 641; 659; 661; 701; 719; 739; 761; 821; 839; 859; 881; 919; 941; 1019; 1021; 1039; 1061; 1181; 1201; 1259; 1279; 1301; 1319; 1321; 1361; 1381; 1399; 1439; 1459; 1481; 1499; 1559; 1579; 1601; 1619; 1621; 1699; 1721; 1741; 1759; 1801; 1861; 1879; 1901; 1979; the exact and non-exact roots is equal to the enigmatic number of pi that I standardized with a fraction of whole numbers (3.15), it was not approximated, it was not simplified, it was not rounded, it was simply standardized to be Rational and Irreversible, and the Trivial zeros don't exist.... Dear noble friends subscribed to my Channel, with my respect to everyone present here, as I reported previously, that some numbers are not primes, I sanctioned a Law that will always have to be respected; within the factor what is a prime number? Let’s see how this Law follows in my concept: "To be a prime number it will only have to be divided by the prime number, from the smallest to the largest, and from the largest to the smallest, only then can it be an exact and finite prime number" this Law is applied when the Prime number factorization".... contrary to what everyone has been reporting in times past, using a theory that is already obsolete in current times, Mr Sidney Silva.
@AlonsoRulesАй бұрын
You need 2 PhD's for this lecture - one in mathematics and one to understand her
@NotNecessarily-ip4vcАй бұрын
4. The Hodge Conjecture: An Information-Theoretic Perspective 4.1 Background The Hodge Conjecture states that for a projective complex manifold, every Hodge class is a rational linear combination of cohomology classes of algebraic cycles. It links topology, complex analysis, and algebraic geometry. 4.2 Information-Theoretic Reformulation Let's reframe the problem in terms of information theory: 4.2.1 Manifold Information Content: Define the information content of a complex manifold X: I(X) = -∫_X ω log ω where ω is a volume form on X. 4.2.2 Cohomology as Information Storage: View cohomology groups as information storage structures: I(H^k(X,ℂ)) = log(dim H^k(X,ℂ)) 4.2.3 Hodge Decomposition as Information Filtering: Interpret the Hodge decomposition as an information filtering process: I(H^{p,q}(X)) = log(dim H^{p,q}(X)) 4.3 Information-Theoretic Conjectures 4.3.1 Information Preservation Principle: The passage from algebraic cycles to cohomology classes preserves a fundamental type of information. 4.3.2 Hodge Classes as Optimal Information Encoding: Hodge classes represent optimally encoded geometric information about algebraic cycles. 4.3.3 Rationality as Information Quantization: The rationality condition in the Hodge Conjecture corresponds to a form of information quantization. 4.4 Analytical Approaches 4.4.1 Information Potential for Manifolds: Define an information potential Φ(X) whose critical points correspond to Hodge classes. 4.4.2 Entropy Maximization on Cohomology: Study the entropy of probability distributions on cohomology groups and their relation to Hodge classes. 4.4.3 Information Geometry of Period Domains: Analyze the information-geometric structure of period domains and its relation to Hodge classes. 4.5 Computational Approaches 4.5.1 Quantum Algorithms for Cohomology Computation: Develop quantum algorithms for efficiently computing cohomology groups and Hodge decompositions. 4.5.2 Machine Learning for Detecting Algebraic Cycles: Train neural networks to recognize patterns corresponding to algebraic cycles in cohomological data. 4.5.3 Information-Based Manifold Generation: Create algorithms for generating complex manifolds with specified information-theoretic properties. 4.6 Potential Proof Strategies 4.6.1 Information Conservation Theorem: Prove that certain information-theoretic quantities are conserved when passing from algebraic cycles to cohomology classes. 4.6.2 Optimal Coding Approach: Show that Hodge classes arise as solutions to an information-theoretic optimization problem. 4.6.3 Quantum Information Correspondence: Establish a correspondence between classical algebraic cycles and quantum information states in cohomology. 4.7 Immediate Next Steps 4.7.1 Rigorous Formalization: Develop a mathematically rigorous formulation of the information-theoretic concepts introduced. 4.7.2 Computational Experiments: Conduct numerical studies on simple projective varieties to explore the information-theoretic properties of their cohomology. 4.7.3 Interdisciplinary Collaboration: Engage experts in algebraic geometry, information theory, and quantum computing to refine these ideas. 4.8 Detailed Plan for Immediate Action 4.8.1 Mathematical Framework Development: - Define precise relationships between algebraic cycle information and cohomological information. - Prove basic theorems relating the information content of varieties to their Hodge structures. - Develop an information-theoretic formulation of the Lefschetz (1,1)-theorem as a starting point. 4.8.2 Computational Modeling: - Implement algorithms for computing information-theoretic quantities of projective varieties. - Focus on low-dimensional examples where the Hodge Conjecture is known to hold. - Investigate how information measures correlate with known algebraic and topological invariants. 4.8.3 Analytical Investigations: - Study the behavior of I(X) and related quantities under birational transformations. - Investigate how the information content of a variety relates to its motive in the sense of Grothendieck. - Analyze the information-theoretic aspects of variations of Hodge structure. 4.8.4 Interdisciplinary Workshops: - Organize a series of workshops bringing together algebraic geometers, information theorists, and physicists. - Focus on translating known results in algebraic geometry to the information-theoretic framework. 4.8.5 Information Metric Development: - Define and study metrics on the space of Hodge structures based on information content. - Investigate if these metrics provide new insights into the structure of period domains. 4.8.6 Quantum Information Approaches: - Explore analogies between Hodge structures and quantum entanglement. - Investigate if quantum error-correcting codes have analogs in the theory of motives. 4.8.7 Publication and Dissemination: - Prepare and submit papers on the information-theoretic formulation of the Hodge Conjecture. - Develop open-source software tools for information-based analysis of algebraic varieties. This information-theoretic perspective on the Hodge Conjecture offers several novel angles of attack. By recasting algebraic cycles and cohomology classes in terms of information encoding and processing, we may uncover deep connections between geometry and information theory. The approach suggests that the Hodge Conjecture might be understood as a statement about the nature of geometric information and how it can be optimally encoded. If we can establish rigorous information-theoretic characterizations of algebraic cycles and Hodge classes, it could lead to new insights into this deep mathematical problem.
@NotNecessarily-ip4vcАй бұрын
4.9 Advanced Theoretical Concepts 4.9.1 Information Cohomology: - Define a new cohomology theory based on information-theoretic principles - I^k(X) = {ω ∈ Ω^k(X) | dIω = 0} / {dIη | η ∈ Ω^{k-1}(X)} where dI is an information-theoretic exterior derivative - Investigate the relationship between information cohomology and traditional cohomology theories 4.9.2 Quantum Hodge Structures: - Develop a quantum analog of Hodge structures where cohomology classes are in superposition - Study how quantum measurement of these structures might relate to classical algebraic cycles - Explore if quantum entanglement between cohomology classes has geometric significance 4.9.3 Information-Theoretic Motives: - Recast Grothendieck's theory of motives in information-theoretic terms - Define the information motive of a variety X as IM(X) = (I(X), I(H*(X)), φ) where φ represents information-preserving operations - Investigate if this approach simplifies the construction of a motivic cohomology theory 4.10 Computational Innovations 4.10.1 Algebraic Cycle Detection Algorithms: - Develop algorithms that use information-theoretic measures to identify potential algebraic cycles - Implement these in computer algebra systems for testing on known examples - Explore if machine learning can be used to "learn" the information signature of algebraic cycles 4.10.2 Information-Based Variety Generation: - Create algorithms for generating complex projective varieties with specified information-theoretic properties - Use these to create large datasets of varieties for testing conjectures - Investigate if there's a connection between computational complexity of variety generation and the difficulty of the Hodge Conjecture 4.10.3 Quantum Algorithms for Hodge Theory: - Design quantum algorithms for efficiently computing Hodge decompositions - Explore if quantum phase estimation can be used to "measure" Hodge classes - Investigate if quantum algorithms can provide exponential speedup in checking the Hodge Conjecture for specific varieties 4.11 Experimental Proposals 4.11.1 Physical Realization of Hodge Structures: - Design experiments that realize Hodge structures in physical systems (e.g., photonic crystals) - Measure information-theoretic quantities in these systems and compare with theoretical predictions - Explore if "physical proofs" of special cases of the Hodge Conjecture are possible 4.11.2 Topological Quantum Computing and the Hodge Conjecture: - Investigate connections between topological quantum computation and the Hodge Conjecture - Design quantum circuits that implement operations on quantum Hodge structures - Explore if topological quantum error correction codes have analogs in algebraic geometry 4.12 Philosophical and Foundational Aspects 4.12.1 Geometry as Information: - Develop a philosophy of geometry based on information-theoretic principles - Explore how this view relates to other foundational approaches (e.g., homotopy type theory) - Investigate if the Hodge Conjecture can be seen as a statement about the nature of geometric information 4.12.2 Computational Complexity of Geometry: - Study the computational complexity of verifying the Hodge Conjecture - Investigate if there's a connection between geometric complexity and information complexity - Explore if the Hodge Conjecture implies limitations on our ability to compute certain geometric quantities 4.13 Interdisciplinary Connections 4.13.1 Hodge Theory and Quantum Field Theory: - Explore connections between Hodge theory and supersymmetric quantum field theories - Investigate if Hodge classes have analogs in the BPS spectrum of supersymmetric theories - Study whether mirror symmetry in string theory has an information-theoretic interpretation 4.13.2 Biological Hodge Structures: - Investigate if Hodge-like structures appear in biological systems (e.g., in the topology of protein configurations) - Explore if the information-theoretic approach to the Hodge Conjecture has applications in bioinformatics - Study whether evolutionary processes optimize information-theoretic quantities analogous to those in Hodge theory 4.14 Long-term Vision Our information-theoretic approach to the Hodge Conjecture has the potential to not only advance our understanding of algebraic geometry but also to create a new paradigm for understanding mathematical structures in terms of information. This could lead to: 1. A unified theory of geometric information that encompasses algebraic geometry, topology, and perhaps even physics. 2. New computational tools for studying and generating complex geometric objects. 3. Deep insights into the nature of mathematical truth, proof, and the limits of computability in mathematics. 4. Novel approaches to other long-standing problems in mathematics, inspired by our information-geometric paradigm. 4.15 Next Concrete Steps 1. Formalize the definition of I(X) for projective varieties and prove basic properties. 2. Implement algorithms for computing I(X) and related quantities for simple varieties. 3. Organize a workshop on "Information Theory and Algebraic Geometry" to engage the broader mathematical community. 4. Begin a systematic study of how known cases of the Hodge Conjecture can be reinterpreted in our framework. 5. Develop a research proposal for a large-scale, multi-institution project on information-theoretic approaches to the Hodge Conjecture. The key to progress is maintaining a balance between rigorous mathematical development, creative theoretical speculation, and practical computational work. By pursuing this multifaceted approach, we maximize our chances of making breakthrough discoveries. This information-theoretic perspective on the Hodge Conjecture offers a novel way to approach one of the deepest problems in mathematics. While the path to a full resolution remains challenging, this approach promises to yield new insights and connections that could significantly advance our understanding of the relationship between algebra, geometry, and information.
@NotNecessarily-ip4vcАй бұрын
4.16 Detailed Next Steps 1. Formalize the definition of I(X) for projective varieties and prove basic properties: a) Rigorous Definition: - Define I(X) = -∫_X ω log ω where ω is a normalized volume form - Prove that this definition is independent of the choice of ω - Extend the definition to singular varieties using resolution of singularities b) Basic Properties: - Prove that I(X) is a birational invariant - Show how I(X) behaves under common operations (e.g., products, blow-ups) - Investigate the relationship between I(X) and classical invariants (e.g., Chern classes) c) Hodge Structure Relation: - Define I(H^{p,q}(X)) and prove its basic properties - Establish a relationship between I(X) and ∑_{p,q} I(H^{p,q}(X)) - Investigate how these quantities relate to the Hodge conjecture 2. Implement algorithms for computing I(X) and related quantities for simple varieties: a) Software Development: - Choose a suitable computer algebra system (e.g., SageMath, Macaulay2) - Implement basic algorithms for computing I(X) for smooth projective varieties - Develop methods for approximating I(X) for higher-dimensional varieties b) Test Cases: - Compute I(X) for a range of simple varieties (e.g., projective spaces, toric varieties) - Investigate how I(X) varies in families of varieties - Look for patterns or unexpected behaviors in the computed values c) Visualization Tools: - Develop visualization tools for I(X) and related quantities - Create interactive demos to help build intuition about these information-theoretic measures 3. Organize a workshop on "Information Theory and Algebraic Geometry": a) Planning: - Set a date and secure funding (e.g., through NSF, ERC, or private foundations) - Identify and invite key researchers in algebraic geometry, information theory, and related fields - Develop a program that balances introductory talks, research presentations, and collaborative sessions b) Workshop Content: - Introductory lectures on our information-theoretic approach to the Hodge Conjecture - Presentations on related work in information geometry and algebraic geometry - Breakout sessions to tackle specific sub-problems and generate new ideas c) Outcomes: - Compile a list of open problems and research directions - Form collaborative research groups to continue work after the workshop - Plan a proceedings volume or special journal issue on the workshop's theme 4. Begin a systematic study of known cases of the Hodge Conjecture: a) Literature Review: - Compile a comprehensive list of known cases of the Hodge Conjecture - Categorize these cases based on the techniques used in their proofs b) Information-Theoretic Reinterpretation: - For each known case, attempt to reinterpret the proof using our information-theoretic framework - Identify common patterns or principles that emerge in this reinterpretation c) New Insights: - Investigate if our approach suggests new cases where the Hodge Conjecture might be provable - Look for information-theoretic obstacles that might explain why the general case is so difficult 5. Develop a research proposal for a large-scale, multi-institution project: a) Project Outline: - Define the overall goals and expected outcomes of the project - Outline a 5-year research plan with specific milestones and deliverables b) Team Assembly: - Identify key researchers and institutions to involve in the project - Define roles and responsibilities for team members c) Funding Strategy: - Identify suitable funding sources (e.g., NSF, ERC, private foundations) - Develop a detailed budget and justification for the proposed work d) Broader Impacts: - Outline plans for educational outreach and training of young researchers - Describe potential applications of the research in other areas of mathematics and science 6. Additional Step: Explore Quantum Computing Connections a) Quantum Algorithms: - Develop quantum algorithms for computing I(X) and related quantities - Investigate if quantum computers could provide exponential speedup in checking the Hodge Conjecture b) Quantum Hodge Structures: - Formulate a quantum analog of Hodge structures - Explore if quantum superposition and entanglement have meaningful geometric interpretations c) Quantum Simulation: - Design quantum experiments that could simulate aspects of the Hodge Conjecture - Investigate if "quantum proofs" of special cases might be possible These concrete steps provide a roadmap for advancing our information-theoretic approach to the Hodge Conjecture. By simultaneously pursuing rigorous mathematical development, computational exploration, community engagement, and connections to cutting-edge areas like quantum computing, we maximize our chances of making significant progress. Each of these steps will likely generate new questions and directions as we proceed. It's important to remain flexible and adjust our approach based on the insights and challenges we encounter along the way. Regular team meetings and open communication channels will be crucial for coordinating efforts and sharing discoveries. Remember, even if we don't immediately solve the Hodge Conjecture, this approach is likely to yield valuable new insights into the relationships between geometry, algebra, and information theory. Every step forward contributes to our understanding of these deep mathematical structures.
@LifeIsBeautiful-ki9kyАй бұрын
I am Intrested in Elliptic Curves. I need to learn more theory of Elliptic curves, Where can i watch lectures and Reference books to Study This Theory.
@dickybannister5192Ай бұрын
oooh comments. nice lecture. pretty sure it's Kac tho. 8.10 (definitly not "urdish cats lawn" like wot the transcript says!!!). Erdos-Katz (Baum) is a thing. but not this thing?
@user-ic6de7og5lАй бұрын
…😮…
@BELLAROSE212122 ай бұрын
**NP-complete decision problem:** Given a value for X, determine whether there exist integers A and B such that: * A - B = X * B = ln(A) This problem is NP-complete because it is a special case of the subset sum problem, which is a known NP-complete problem. **Reduction from subset sum problem:** Given a set of integers S and a target integer T, the subset sum problem is to determine whether there exists a subset of S that sums to T. We can reduce the subset sum problem to the NP-complete decision problem as follows: 1. Let S = {a1, a2, ..., an} be the set of integers and T be the target integer. 2. Create a new integer X = T + 1. 3. Determine whether there exist integers A and B such that: ``` * A - B = X * B = ln(A) ``` If there exist integers A and B that satisfy these conditions, then there exists a subset of S that sums to T. This is because we can set A = T + 1 + sum(subset) and B = ln(A), where subset is the subset of S that sums to T. Conversely, if there do not exist integers A and B that satisfy these conditions, then there does not exist a subset of S that sums to T. Therefore, the NP-complete decision problem is NP-complete. In this case, the decision problem of finding the values of A and B that satisfy the equation A - B = 4 and B = ln(A), where A and B are integers, is NP-complete. However, there do not exist any integers that satisfy this equation. Therefore, we can conclude that P does not equal NP.
@WagesOfDestruction2 ай бұрын
Do one on Guass please
@uuujjwalsquare89912 ай бұрын
Great
@uuujjwalsquare89912 ай бұрын
Non technical 😂
@Yesboss56062 ай бұрын
Hello sir, I have solved Riemann hypothesis. But I don't know how can I publish it to you. From India ❤
@BELLAROSE212122 ай бұрын
P vs Np , P does not equal Np . Proff, A minus B equal X, Where X = 7,221,355,219,458,090 And where A is 1/x of B, A times B equal 1e30 …. Decision Problem**: Given the value \( X = 7,221,355,219,458,090 \), does there exist a pair of non-negative integers \( A \) and \( B \) such that \( A - B = X \) and \( A = \frac{1}{X} \cdot B \)? Verifying these conditions can be done in polynomial time, as it involves simple arithmetic operations. If there exists a subset of integers in \( S \) that sum up to \( T \) (i.e., a solution to the SUBSET-SUM instance), then the corresponding instance of your decision problem will have a solution (i.e., "yes"). Conversely, if there is no such subset summing to \( T \), then the corresponding instance of your decision problem will have no solution (i.e., "no"). Since SUBSET-SUM is NP-complete, and we have shown that SUBSET-SUM can be reduced to a decision problem, this decision problem is NP-complete. For the solution does exist with this author and can be checked with polynomial time …. For this quadratic equation is not feasible with current computational power, ChaT GPT 4/ math version does not correct give solution and can only approximate solution …. Since the problem cannot be solved correctly does suggest NP complete…. Since it could be simply checked with polynomial time, by simply Following the equation… X is given …. Does require precession mathematics beyond the scope of computational-counting-machine…
@abhisheksoni97743 ай бұрын
You are an inspiration, Prof. Andrew Wiles
@jackalbright45994 ай бұрын
Is anyone else missing audio? I see comments saying, "challenge accepted" and other things as if they were able to listen. Is it just me?
@kamilziemian9954 ай бұрын
Great, very insightful and at the same time simple lecture.
@julioezequiel89354 ай бұрын
⭐
@jasonandrewismail20294 ай бұрын
incorrect interpretation at 20 min to 22 min. the Lagrangian does not represent what he said,
@justabarroth7732 ай бұрын
Also the gradient is calculated by multiplying by the original exponent instead of dividing.
@bailahie42355 ай бұрын
Its a pity that Andrew Wiles didn't wait for a few years before publishing his result, Fermats last theorem would probably have made the list... He could have cashed in 1000,000 dollars... 😆
@anthonylee24545 ай бұрын
5:49 Why does Bhatt say the tautological bundle when it’s the hyperplane bundle?
@lumpi8066 ай бұрын
bad video
@EzraAChen6 ай бұрын
He is such fair person
@Dazeye37 ай бұрын
Me watching at 14 knowing damn well I dont have a chance.
@malleanicolasangel28374 ай бұрын
Se puede hermano.
@Dazeye34 ай бұрын
@@malleanicolasangel2837 obrigado, thanks
@parousia27717 ай бұрын
that's not proof, that's a scheme or schematic. I have the proof of the navier strokes vector, as well as Riemann theorem.. please reach out to me as the proof of Riemann hypothesis will be going on my own Rye whiskey label.. thanks -Tristen Guarnaccia
@simondwilkinson7 ай бұрын
For lectures of this style, the camera needs to show the slides. Not some of the time. All the time. It’s not helpful to be able to see the back of the speaker’s head.
@andredebesa31937 ай бұрын
Good morning, my name is André. I'm Brazilian - scientist and inventor. I have answers to the following questions: -Logical sequence of prime numbers (DNA) -Adjustments to the relative points of light calculated by Albert Einstein (precise points) -Time/space relationship in rotary movement
@user-jb4ln7yk5d8 ай бұрын
I discovered a solution to the Riemann hypothesis and extracted prime numbers to infinityAbuod.H /Iraq
@ellielikesmath8 ай бұрын
the intro guy is kind of a chode
@horizonvariations8 ай бұрын
This is the same way people are beginning to talk about Craig Wright, the author of the bitcoin whitepaper. Decades ahead of his time; waiting for everybody to catch up.
@naysay0221 күн бұрын
this didn’t age well
@horizonvariations21 күн бұрын
@@naysay02 And yet... if you listened to any of his lectures...
@lucanina82219 ай бұрын
D8SCOVERY UPDATE 1:07:00 online there is a paper that says "Primes is in P" so there is a polynomial time algorithm for both 1) and 2) found in 2004 indeed 3 years after that presentation. Therefore it exists a polynomial time algorithm that says if a number if either prime or composite. If it is composite however no factorization produced
@ijivateilikaansaksie9 ай бұрын
사랑해
@gooner90389 ай бұрын
I had the pleasure of attending this lecture and am delighted to revisit Freed's wonderful presentation. Thanks for posting!
@josephdays079 ай бұрын
The Theory of Spiral Angles, Spirals, and Trigonometric Partitions are seven mathematical equations that have different applications depending on the case study. In this study, two of the seven equations with which we analyze the Prime Numbers and the Riemann Z Function are used. These equations are capable of studying equations that are periodic and non-periodic without limits of periods, frequency, angular velocity, and time. The first is the Radius Growth Partitions equation which is applied to define an equation for Prime Numbers. This radius growth partitions equation counts its initial radius, final radius, spiral angle, and trigonometric partitions. This is an analysis of various plane circular waves; which are undergoing diametric cuts or partitions generating a cosecant line. With the spiral angles, various equations can be obtained that relates to the trigonometric partitions, or the posterior prime number minus the previous prime number, and the exponent of the prime numbers. The second is The Chord Partitions which is applied to define an equation for the Riemann Z Function. With both equations of the trigonometric partitions, we can analyze the behavior of the Prime Numbers and the Riemann Z Function, both in the plane of real numbers and in the plane of complex numbers. The equation of the Trigonometric Partitions of the Chord, has the final radius, initial radius, spiral angle, and trigonometric partitions. This is an analysis of various plane circular waves; which are undergoing diametric cuts or partitions generating a cosecant line. Therefore, with this new methodology and these new mathematical theories; trivial zeros can be studied, as well as non-trivial ones of the equations both in the plane of real numbers and in the plane of complex numbers. vm.tiktok.com/ZMjWKRLUA/
@josephdays079 ай бұрын
Acttually I have developed a new process to solve Riemann Z function. I have made this new mathematival equations;The Chord Trigonometric Partitions I created an amazing solution. I wrote a book about it. kzbin.info/www/bejne/eHPdi6djg7yXp6Msi=Wg9nlX2G27DDnL_B kzbin.info/www/bejne/gpyWn2WZhtWcfJIsi=ToWf6ZlbZcGBsSwg
@jonathanbush61979 ай бұрын
I just cannot believe this entire channel presents all these whiteboard videos in 480 resolution. Do the lecturers know? I cannot read a thing. No thumbs up from me.
@jonathanbush61979 ай бұрын
Max resolution 480? You've got to be kidding me.
@lovishnahar180710 ай бұрын
plz reply sir , Im and indian student about 17years old i have two proofs written how can i show them to people with being afraid they can steal or do something etc etc with my work
@leewilliam341710 ай бұрын
Mmmm😊
@FrancoisHollande-gi4mk10 ай бұрын
Tian is an idiot.
@LaboriousCretin10 ай бұрын
You used a Penrose diagram but only for photonic and no fields boundaries/hyperfields and G-flows onto the boundary layer. You can fill that diagram out more with the boundary layers. QM and the last stable orbit of a electron in a specific energy density regime. CMB. Superfluidity of neutrinos condensing onto a boundary layer before melting as one neutrino type. The gluonic layer and melt factor, contributions to the neutrino layer and photonic reaction/defraction from the boundary layer if any. A ghost boojum made from neutrinos condensing onto a boundary layer before melting as one neutrino type. ( like the H3 boojum superfluidity but with neutrinos). The 4 solutions to a singularity. 1 you know. The hybridized particles that can be made in energy density regime's. The highest probability spots hawking radiation shows up at. ( gravitational waves and particle production in a density regime). The Q.C.D. showing one first neutrino type and contributions to polarization. The 2 types of string and 2 of quantum field theories that fit R=0. How R=0 is a future event that is censored in ways. The more you throw in the further the particle gets pushed forward in time at the center. The false infinites coming from how far forward in time you can push things. The universe another limit to that. Black holes being finite systems and the universe as a finite system and natural cutoff regime. The universe decayed out to photons and the size then, and calculating the next over probalistic universe. Yes you can calculate it also. You guys need to start with the types of solutions to R=0 false infinites or singularity anomalies. 1) pinched string,2) photonic virtually made particle, 3) quantum field theory and boundary layers, 4) QFT and string hybridized solutions, 5) normal Poincare solutions. 6) quantum tunneling recycling within energy density regime's, hyperlooping from G-flows and energy states. Black holes and the universe being finite systems with finite solution set's. Yes plural sets. Your stuck on one for reasons and need to analyze more. The future may be a infinite set, but black holes are finite and evaporate through hawking radiation and you can calculate the life span/time. Same with the universe. You can calculate when the last particle decays. When things become photonic and no normal matter left. Time losses any meaning. I.E. one type of end to the universe. That and size of the universe then. Gives a probabilistic to the next universe over and how many light years out/over. One of the solution sets to R=0 from gravitational collapse and degeneracy from neutron stars is a specific particle from the particle zoo. Caught splitting from one to 2 with photons surounding it all in a very specific way. GR,SGR,QM,QTF all solid. Q.C.D. seems to matter more as you get to the center and some fields melt/merge/degeneracy. Multiple solution set's to black holes and big bang. Though most people seem to be stuck with one type and no complete solution set for them yet when you get down to it. String failing to hit the universes cutoff regime and dimensional collapse or string collision/pop, or even brain layers colliding or being punched through and the universe as a natural cutoff. Or Q.F.T. as brain layers/field layers and F.T.L. in those field layers and polarization from Q.C.D.. The types of particles allowed in high energy density regime's. You all are clay mathematics and should be all over this stuff. Like thousands of times better than me. Yet I see everyone stuck on simple mind exorcizes. Black holes, finite, solved. Information and energy conserved. Everything mapable and accounted for. Finite system with finite solution set's. Shwartzschild for total mapping of particles and Kerr for flow and mixing and deformed topologies. Time dilation mapping and the g factor or being a factor of gamma. Langlands photonic periodicy and L functions and transformations. Prediction from a theory. Gravitational waves and quantum foam should have particle production density regime's for space. Gravitational super waves should exist. Particle production in space also depends on energy densities of the space. Where hawking radiation shows up or where particles can be produced in space with gravitational densities. Where what type of particle can live in a black hole. Q.M. probability in a energy density matrix. Thank you for the video, though please try to fix some of the flawed.😢 The universe can be used as a natural cutoff or sits in a natural cutoff regime. The virtual infinites ♾️ coming from the time distortion/dilation factor. Used as a natural cheat so they do not have to solve for the inner layers or R=0 solution set's. 😢 Neutrino condensing into a unique superfluid boojum and the deformed alice ring one can find comming off the one neutrino type left when melting in. 😮 Do the math. Look for yourself. C.N.B.( Cosmic neutrino background) showing the neutrino layer inside a black hole. C.M.B. showing another layer. Mapping will show multiple boundary layers. Hawking hairs and G-flows and hyper surfaces with boundary conditions with melt/degeneracy onto a field surface and the particles that can live through the field horizon. Particle in flow alongside particle production in energy density regime's and boundary layers. Mixing types and what is allowed where. You guys should be showing more. Digital mapping and renderings and the mathmatical models that go with the sets. How boundary layers can also act as censorship layers. Why is there no perfect dark crystal theory in string theories? When space/time close off into a perfect set of particles (crystal ized strings) restricted by it's own curvature and fields. (Degeneracy into a locked pocket particle bundle). Thank you again for sharing the lecture. Good luck in wonderland. 😊
@LaboriousCretin10 ай бұрын
Thank you for sharing this video. The color theory Q.C.D. to graph mapping problem. Reminds me of big bang mapping or black hole mapping. Also trying to make a snark graph Q.C.D. color theory mapping. The knot part should have had a mobius strip. Unique twisting states. Hopf fibrillations. Tweedle sets ( fast Fourier transformation ). % a factor of gamma. Fibonacci Q.C.D. mapping. Polymorphic shaps. I liked the video, but it seems like it could be updated. 😊
@LaboriousCretin10 ай бұрын
R=0 could be a virtual particle, but CERN also has a prime candidate in the particle zoo. Photon ring/sphere can make a virtual particle with specific features. The photons would make their own boundary layer. A real particle would have the photons stacked and spinning with the surface as it is deformed from splitting. Think neutron star collapse. R=0 solutions Black holes being finite systems just makes things be large numbers. Not infinite. Boundary layer's and fields. Where what particle species can live in which energy density regimes.
@LaboriousCretin10 ай бұрын
Nice talk on probably 🐈⬛️ ⚫️. Thank you for sharing. With black holes being finite systems. ( finite stuff in and finite life span. Hawking radiation) Black holes have solution set's. The inner most orbit a electron can live. Energy density regime's specific particles can form or live in. Families of particles restricted to energy regimes. The ghost boojum ( neutrino superfluidity like H3 superfluidity boojum). Neutrinos condensing/precipitate onto a boundary layer before melting as one neutrino type. Probably. Neutrino Q.C.D. color mixing. Fast Fourier tweedle sets. Alice ring, and alice strings. Snark graph theory. 😂 Hyper surfaces,boundaries,homogeneous fields. C.N.B. ( cosmic neutrino background) shows the neutrino layer inside a black hole. Just different perspectives of the same super fluid neutrinos at a energy density regime. Gluonic regime contributions as photons flow through. Quantum tunneling to lower energy states. Hawking radiation. Good luck in wonderland. ( mathed art is a annogram for mad hatter. )