Elleard Felix Webster Joseph Heffern
@webystar.bsky.social
Symmetry break=eigenstate: Not to be affected by dimension(s) of mutation~=~you've replaced a symmetric facet w/ alternative, contextually immutable, component.
Dual + dual spectralize the algebraic characters. That is the smartest goddamned thing I ever fucking wrote.
November 14, 2025 at 3:31 PM
Dual + dual spectralize the algebraic characters. That is the smartest goddamned thing I ever fucking wrote.
October 30, 2025 at 6:07 PM
I replaced the logic at the end to be indisputable.
October 27, 2025 at 2:42 PM
I replaced the logic at the end to be indisputable.
YESSSSS!!!!! I am so not gonna lie; my haunted house literally solved this for me like, months ago, and literally has been trying to guide me with the weirdest shit. #MarkovNumbers #Unicity
October 27, 2025 at 2:18 PM
YESSSSS!!!!! I am so not gonna lie; my haunted house literally solved this for me like, months ago, and literally has been trying to guide me with the weirdest shit. #MarkovNumbers #Unicity
#MarkovNumbers #Unicity (hint: "42")
October 16, 2025 at 1:55 AM
#MarkovNumbers #Unicity (hint: "42")
Let a = (a'+i) and let b = (b'+j), for integers i and j. If true for a and b, and also true for a' and b', I suspect we have a major contradiction. #MarkovNumbers #Unicity
October 15, 2025 at 9:42 PM
Let a = (a'+i) and let b = (b'+j), for integers i and j. If true for a and b, and also true for a' and b', I suspect we have a major contradiction. #MarkovNumbers #Unicity
I think I just got another one finally for real. When it rains, it pours. #numbertheprimes #markovnumbers #unicity
September 21, 2025 at 3:14 PM
I think I just got another one finally for real. When it rains, it pours. #numbertheprimes #markovnumbers #unicity
That was so annoying. I didn't meet one little criterion to apply the LET Lemma, but I knew it still applied, so I had to re-prove my specific case and it looks simple now, but I was pulling my damned hair out.#perfectnumber#perfectnumbers#oddperfectnumber#oldestopenproblem
September 21, 2025 at 12:22 PM
That was so annoying. I didn't meet one little criterion to apply the LET Lemma, but I knew it still applied, so I had to re-prove my specific case and it looks simple now, but I was pulling my damned hair out.#perfectnumber#perfectnumbers#oddperfectnumber#oldestopenproblem
#oddperfectnumber #perfectnumber #famousopenproblem #6days #perfectnumbers #numbertheory #LTElemma
I got this. I fought scrappily and incidentally made some errors even as I correctly rapidly claimed certain territory. ChatGPT[it], then "you"[ChatGPT].
heffern-my.sharepoint.com/personal/web...
I got this. I fought scrappily and incidentally made some errors even as I correctly rapidly claimed certain territory. ChatGPT[it], then "you"[ChatGPT].
heffern-my.sharepoint.com/personal/web...
September 21, 2025 at 3:09 AM
#oddperfectnumber #perfectnumber #famousopenproblem #6days #perfectnumbers #numbertheory #LTElemma
I got this. I fought scrappily and incidentally made some errors even as I correctly rapidly claimed certain territory. ChatGPT[it], then "you"[ChatGPT].
heffern-my.sharepoint.com/personal/web...
I got this. I fought scrappily and incidentally made some errors even as I correctly rapidly claimed certain territory. ChatGPT[it], then "you"[ChatGPT].
heffern-my.sharepoint.com/personal/web...
Anyway, I didn't totally trust "PROOF 2" so I created a "PROOF 1." #overachiever #fire #happybirthdayemiliakitkat #perfectnumber #perfectnumbers #oddperfectnumber
heffern-my.sharepoint.com/:b:/p/webster/…
heffern-my.sharepoint.com/:b:/p/webster/…
September 19, 2025 at 12:37 PM
Anyway, I didn't totally trust "PROOF 2" so I created a "PROOF 1." #overachiever #fire #happybirthdayemiliakitkat #perfectnumber #perfectnumbers #oddperfectnumber
heffern-my.sharepoint.com/:b:/p/webster/…
heffern-my.sharepoint.com/:b:/p/webster/…
This I think makes sense. I now need to write the "crazy tricky algorithm" in question in the middle, but that shouldn't be too bad. #perfectnumbers #numbertheory #oddperfectnumber #perfectnumber lnkd.in/g6GJqKVB
September 19, 2025 at 11:11 AM
This I think makes sense. I now need to write the "crazy tricky algorithm" in question in the middle, but that shouldn't be too bad. #perfectnumbers #numbertheory #oddperfectnumber #perfectnumber lnkd.in/g6GJqKVB
"Your hope worked! I'm at nitty-gritty finish line stuff. The way I'm comparing sums of collections of residuals here is totally novel, off-the-beaten-path, and giving results. "Hence" brilliant :P." #perfectnumber #oddperfectnumber #numbertheory #math
September 17, 2025 at 3:12 PM
"Your hope worked! I'm at nitty-gritty finish line stuff. The way I'm comparing sums of collections of residuals here is totally novel, off-the-beaten-path, and giving results. "Hence" brilliant :P." #perfectnumber #oddperfectnumber #numbertheory #math
Okay this time I fucking got it. And a whole lot more unnecessary stuff – ha. But see the product of all the exponents is the number of individual residuals, assigning the modularity of the numerator... then you've got a problem. #perfectnumber #oddperfectnumber
September 17, 2025 at 11:43 AM
Okay this time I fucking got it. And a whole lot more unnecessary stuff – ha. But see the product of all the exponents is the number of individual residuals, assigning the modularity of the numerator... then you've got a problem. #perfectnumber #oddperfectnumber
Behold: the proof that an odd number cannot be a #perfectnumber. And you, sir, are an odd number.
September 15, 2025 at 6:47 PM
Behold: the proof that an odd number cannot be a #perfectnumber. And you, sir, are an odd number.
So the question now is, where did I break from ZFC in proving this? Because it's supposed to be unprovable within the ZFC framework. Was it, perhaps, by noting the strings referring to the values? #continuumhypothesis #generalizedcontinuumhypothesis
September 1, 2025 at 10:20 PM
So the question now is, where did I break from ZFC in proving this? Because it's supposed to be unprovable within the ZFC framework. Was it, perhaps, by noting the strings referring to the values? #continuumhypothesis #generalizedcontinuumhypothesis
Quasi-continuous function on (0,1): f(x) = x, except where the expression base 2 has every-other digit swapped with the prior digit. Less continuous than R\Q because discontinuities exist everywhere upon a continuous space of definiton and not just on Q. "Automeris i/o."
#continuumhypothesis
#continuumhypothesis
August 31, 2025 at 6:11 AM
Quasi-continuous function on (0,1): f(x) = x, except where the expression base 2 has every-other digit swapped with the prior digit. Less continuous than R\Q because discontinuities exist everywhere upon a continuous space of definiton and not just on Q. "Automeris i/o."
#continuumhypothesis
#continuumhypothesis
Quantum effects start to dominate its macro-boundary warping when a fluid is pushed through a minimally collapsing puncture.
That legitimately took a long-ass time to figure out.
That legitimately took a long-ass time to figure out.
August 28, 2025 at 5:13 AM
Quantum effects start to dominate its macro-boundary warping when a fluid is pushed through a minimally collapsing puncture.
That legitimately took a long-ass time to figure out.
That legitimately took a long-ass time to figure out.
Returning back to a #zeckendorf-ish angle for #MarkovNumbers #Unicity always seems to show the most promise. The distinction of that terminal repeat in the pre-Zeckendorf representation *might* be all I need.
August 27, 2025 at 5:37 PM
Returning back to a #zeckendorf-ish angle for #MarkovNumbers #Unicity always seems to show the most promise. The distinction of that terminal repeat in the pre-Zeckendorf representation *might* be all I need.
The weird thing here is, for both the Fibonacci and the Pell #MarkovNumbers, L(') proves to be a natural factor of A+(-)B. If one could generalize how this occurs, one would have a very clean explicit expression for Markov Numbers. #Unicity
#ChebyshevPolynomials of the 2nd kind
#ChebyshevPolynomials of the 2nd kind
August 26, 2025 at 1:47 AM
The weird thing here is, for both the Fibonacci and the Pell #MarkovNumbers, L(') proves to be a natural factor of A+(-)B. If one could generalize how this occurs, one would have a very clean explicit expression for Markov Numbers. #Unicity
#ChebyshevPolynomials of the 2nd kind
#ChebyshevPolynomials of the 2nd kind
A little (tested) progress today. Got my own explicit expressions for #PellNumbers and #FibonacciNumbers that I can use in this alternative approximation for #MarkovNumbers, but still need to justify the approximation / calculate its range of error. #Unicity
August 22, 2025 at 8:02 PM
A little (tested) progress today. Got my own explicit expressions for #PellNumbers and #FibonacciNumbers that I can use in this alternative approximation for #MarkovNumbers, but still need to justify the approximation / calculate its range of error. #Unicity
Aaand this is the most badass thing I have ever written. This lemma (2nd page) was totally from scratch. #math #prime #markovsnakegraphs #primenumbers I am very, VERY happy with this lemma!!! It makes Markov Snake Graphs really relevant to prime numbers!
August 10, 2025 at 6:13 PM
Aaand this is the most badass thing I have ever written. This lemma (2nd page) was totally from scratch. #math #prime #markovsnakegraphs #primenumbers I am very, VERY happy with this lemma!!! It makes Markov Snake Graphs really relevant to prime numbers!
Closest approximation for #MarkovNumbers yet 😁. Used a combination of my own #snakegraph theory and my own #chebyshevpolynomial theory to get there.
August 10, 2025 at 12:33 AM
Closest approximation for #MarkovNumbers yet 😁. Used a combination of my own #snakegraph theory and my own #chebyshevpolynomial theory to get there.
That's the final set-up. I am 100% sure it will work: the missing piece I needed before was the relative ratios. #MarkovNumbers #Unicity
July 25, 2025 at 11:33 PM
That's the final set-up. I am 100% sure it will work: the missing piece I needed before was the relative ratios. #MarkovNumbers #Unicity
Done and done. #MarkovNumbers #Unicity #ModularArithmetic #SnakeGraphs #FibonacciNumbers #Fibonacci #Markov #MarkovNumber #ohmygod
July 23, 2025 at 1:08 PM
Oh my goodness this is an exciting approach. Verify that this math works out if and only if k=k'. I went back to computing #MarkovNumbers as "perfect matchings of shake graphs" using my formula, and separated summands w diff factors (modulo F(2k+2), effectively). #Unicity
July 23, 2025 at 12:08 PM
Oh my goodness this is an exciting approach. Verify that this math works out if and only if k=k'. I went back to computing #MarkovNumbers as "perfect matchings of shake graphs" using my formula, and separated summands w diff factors (modulo F(2k+2), effectively). #Unicity