#padic — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #padic, aggregated by home.social.
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New paper: "Valuation Without ℝ: A Category-Theoretic Foundation for Finite Measurement"
Can measurement be formalized independently of real numbers AND set theory?
We axiomatize "valuation" as a graded distinguishability map satisfying the ultrametric inequality. Dimension emerges as the growth exponent of the distinguishability graph.
Full paper: https://doi.org/10.5281/zenodo.21795656
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New paper: Counterfactual Physics — What If p-Adic Methods Had Won? A 4-tier counterfactual analysis of the p-adic physics program (1988 funding, 1968 adelic recognition, 1897 Boltzmann p-adic statistics). DOI: 10.5281/zenodo.21722389 https://papers.qnfo.org/papers/counterfactual-physics/ #QNFO #pAdic #Physics
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Continuum Trilogy: Ontological Closure (OC) — physically real = Turing-approximable with computable convergence modulus. Phase 4 now complete: 9 practical application domains + 4-tier counterfactual backcasting.
DOI: 10.5281/zenodo.21672990
Paper: https://papers.qnfo.org/papers/continuum-trilogy/
#QNFO #Research #pAdic #OntologicalClosure #QuantumComputing -
New paper: Hidden-Radix Cryptography vs Post-Quantum Cryptography.
Traces hidden-radix from naive base-change ciphers through SRE to p-adic completions and the idelic ring. Compares against all five PQC families: lattice, code, hash, multivariate, and isogeny-based.
https://doi.org/10.5281/zenodo.21609391
https://papers.qnfo.org/papers/hidden-radix-pqc/ -
New: "The Primordial Mark" — one operation (drawing a distinction) generates the ultrametric tree underlying spin glasses, p-adic numbers, QCD jets, and the Classification of Finite Simple Groups.
The CFSG is exhaust. The engine is the Mark.
🔗 https://doi.org/10.5281/zenodo.20369071
#LawsOfForm #SpencerBrown #ultrametric #pAdic #CFSG #consilience
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Published on Zenodo: "Symmetric Extension of Ultrametric Error Confinement — Ternary Tree Architecture." DOI: 10.5281/zenodo.20208437
Original p=2 Bruhat-Tits tree: tie-breaking favored bit 0 — bit 1 barrier collapsed to B=2. Fix: p=3 ternary trees. Odd branching = no ties. Both bits get exponential protection B(d)=2^d. Zero errors at d=7.
Physical pathway: 40 atoms on existing neutral atom hardware.
#QuantumComputing #QuantumErrorCorrection #BruhatTits #PAdic #MathPhysics
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New on Zenodo: "Ultrametric Quantum Computing: Foundations, Evidence, and Falsifiable Predictions." The thesis: quantum computing assumed continuous state space — but trees work better. Computational validation: LER=0 at depth 3+, 40% error tolerance. Five falsifiable predictions pre-registered. DOI: 10.5281/zenodo.20154557 #QuantumComputing #UltrametricGeometry #pAdic #OpenScience #Physics
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Love anime?
Love stupidly squeaky patronising voices?
Want to lean about p-adic numbers?
Then just for you...
https://www.youtube.com/watch?v=m0B_Mebc9Dw#maths #padic #IReallyCantBeleiveThisExists #WTAF #anime #education
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🌿 Gute Nachrichten aus Nigeria:
Die Eco-Guards im Wald der Ekuri haben mehrere Motorsägen beschlagnahmt und illegale Rodungen gestoppt. Ein mutiger Einsatz der lokalen Gemeinschaft.
🔥 Doch die Ranger müssen weiter gestärkt werden.
Mehr Aufmerksamkeit bedeutet mehr Schutz für den Wald — und mehr Rückhalt für die indigene Bevölkerung.✊ Bitte bringt die Geschichte in eure Netzwerke:
➡️ https://www.regenwald.org/news/14529/eco-guards-beschlagnahmen-motorsaegen-im-wald-der-ekuri
#Naturschutz #Ekuri #Waldverteidigung #IndigeneRechte #PADIC #Regenwald
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Real numbers are like the Sun and p-adic numbers are like the stars.
https://www.youtube.com/watch?v=tRaq4aYPzCc
#maths #padic #numbertheory -
Do you love Wordle? Do you love discrete valuation rings? Then check out Zpordle, the web's only p-adic integer guessing game! https://mabotkin.github.io/zpordle/ #Math #pAdic #DVR #SunZi #Henselian
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A video by Veritasium that gives a relatively low level introduction to the p-adic number system. It was 'low' enough that I understood most of it. 🙂 It also gives me a better appreciation of the @gregeganSF story, "3-adica".
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The Distance Between Numbers - Numberphile https://m.youtube.com/watch?v=Sgupo9DLMGs&feature=youtu.be #padic #math