A conjectured upper bound on the Choptuik critical exponents by Shahar Hod

“…We point out that all matter models studied thus far in the physics literature are characterized by the upper bound γ≤1. We conjecture that this is a generic feature of non-linear gravitational collapse scenarios.…”
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Conjectures Regarding the Adoption of Fair Value Measurements in Brazil by Fernando Dal-Ri Murcia, Adriana Cristina da Silva, Eric Barreto, Luiz Nelson Guedes de Carvalho

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Investigations on hoop conjecture for horizonless spherical charged stars by Yan Peng

“…And the hoop conjecture holds if we express the conjecture using the mass in the sphere.…”
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Supersymmetry breaking warped throats and the weak gravity conjecture by Ginevra Buratti, Eduardo García-Valdecasas, Angel M. Uranga

“…Abstract We generalize the swampland criterion forbidding stable non-supersymmetric AdS vacua and propose a new swampland conjecture forbidding stable non-supersymmetric “locally AdS” warped throats. …”
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Lower bounds on the orders of subgroups connected with Agrawal conjecture by R. Popovych

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Nef cones of fiber products and an application to the cone conjecture by Cécile Gachet, Hsueh-Yung Lin, Long Wang

“…We prove the Kawamata–Morrison–Totaro cone conjecture for the nef cones of Schoen varieties, which generalizes the work by Grassi and Morrison.…”
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A stringy test of the Scalar Weak Gravity Conjecture by Seung-Joo Lee, Wolfgang Lerche, Timo Weigand

“…We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string compactifications with 8 supercharges. …”
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Complete solution to a conjecture of Zhang-Liu-Zhou by Mostafa Tavakoli, F. Rahbarnia, M. Mirzavaziri, A. R. Ashrafi

“…Chinese Univ., in press] conjectured that if dn;m > 3, then En;m is the graph with maximal eccentric connectivity ndex among all connected graph with n vertices and m edges. …”
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The divisibility conjecture for automorphism groups of finite p-groups by Jill Dietz

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Trans-Planckian Censorship Conjecture and Early Universe Cosmology by Robert Brandenberger

“…I review the Trans-Planckian Censorship Conjecture (TCC) and its implications for cosmology, in particular for the inflationary universe scenario. …”
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Sketching a proof of the Maldacena conjecture at small radius by Nathan Berkovits

“…Abstract At small AdS radius, the superstring on AdS 5 × S 5 was conjectured by Maldacena to be equivalent to N $$ \mathcal{N} $$ = 4 super-Yang-Mills at small ‘t Hooft coupling where thickened Feynman diagrams can be used to compute scattering amplitudes. …”
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Proofs of two conjectures of Kenyon and Wilson on Dyck tilings by Jang Soo Kim

“…In this paper we prove the two conjectures. As a consequence we obtain that the sum of the absolute values of all entries of $M^-1$ is equal to the number of complete matchings. …”
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Generalized symmetry breaking scales and weak gravity conjectures by Clay Córdova, Kantaro Ohmori, Tom Rudelius

“…We show that a variety of conjectures about quantum gravity, including the weak gravity conjecture, the distance conjecture, and the magnetic and axion versions of the weak gravity conjecture can be motivated by the assumption that generalized global symmetries should be strongly broken within the context of low-energy effective field theory, i.e. at a characteristic scale less than the Planck scale where quantum gravity effects become important. …”
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On the Maldacena Type Conjecture in Relation with Scale Relativity Theory by Alexandra Saviuc, Emma Birleanu, Mihail Frasila

Subjects: “…maldacena type conjecture…”
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Composite inflation and further refining dS swampland conjecture by Jureeporn Yuennan, Phongpichit Channuie

“…However, all of them can always satisfy the alternative refined de Sitter conjecture. Therefore, one may expect that all inflationary models might all be in “landscape” since the “further refining de Sitter swampland conjecture” is satisfied.…”
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IR/UV mixing, towers of species and swampland conjectures by Alberto Castellano, Alvaro Herráez, Luis E. Ibáñez

“…We comment on possible applications of these ideas to the dS Swampland conjecture as well as to the observed dS phase of the universe.…”
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On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics by K.K. Nandi, R.N. Izmailov, G.M. Garipova, R.R. Volotskova, A.A. Potapov

“…The famous hoop conjecture by Thorne has been claimed to be violated in curved spacetimes coupled to linear electrodynamics. …”
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A Conjecture of Han on 3-Cores and Modular Forms by Amanda Clemm

“…Here we prove Han’s conjecture about this third series by proving a general theorem about this phenomenon.…”
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Three conjectures about school effectiveness: An exploratory study by Roelande H. Hofman, W.H. Adriaan Hofman, John M. Gray

“…In this article, we address three broad conjectures about what really matters with respect to school effectiveness. …”
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Boolean Hypercubes, Classification of Natural Numbers, and the Collatz Conjecture by Ramon Carbó Dorca, Carlos Perelman

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