On the Origin of Inertia: Implications for Dark Matter and Dark Energy
March 8, 2017
Physics
General Physics
In this paper, we present a new theory explaining the origin of inertia based
on two key ideas: gravity as a spin-1 gauge field theory and the relativity of
all kinds of motion. This theory proposes that inertial mass is influenced by
the d...
Noncommutative-geometry inspired charged wormholes with low tidal forces
March 8, 2017
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Physics
General Relativity and Quantum Cosmology
When Morris and Thorne first proposed that wormholes might be actual physical
structures suitable for interstellar travel, they needed to pay close attention
to certain traversability conditions such as low tidal forces, which placed
severe...
A lower bound for Heilbronn's triangle-problem
March 8, 2017
Mathematics
Number Theory
Metric Geometry
Let n points be placed on a closed convex domain on the plane, no three
points on a straight line. A conjecture by H. A. Heilbronn (before 1950) stated
that on the convex domain of unit area the smallest triangle defined by these
points has...
Rational singularities
March 7, 2017
Mathematics
Algebraic Geometry
A resolution-free definition of rational singularities is introduced, and it
is proved that for a variety admitting a resolution of singularities, so in
particular in characteristic zero, this is equivalent to the usual definition.
It is al...
Zero-sum multisets mod p with an application to surface automorphisms
March 6, 2017
Mathematics
Combinatorics
We solve a problem in enumerative combinatorics which is equivalent to
counting topological types of certain group actions on compact Riemann
surfaces. Let V2(Fp) be the two-dimensional vector space over Fp, the
field with p elemen...
Contextual Linear Bandits under Noisy Features: Towards Bayesian Oracles
March 3, 2017
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Computer Science
Statistics
Artificial Intelligence
Machine Learning
Machine Learning
We study contextual linear bandit problems under feature uncertainty, where
the features are noisy and have missing entries. To address the challenges
posed by this noise, we analyze Bayesian oracles given the observed noisy
features. Our B...
Split Principles
February 22, 2017
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Mathematics
Logic
Logic
We introduce the split principles and show that they bear tight connections
to large cardinal properties such as inaccessibility, weak compactness,
subtlety, almost ineffability and ineffability, as well as classical
combinatorial objects s...
Axiomatic phylogenetics
February 21, 2017
Mathematics
Metric Geometry
Combinatorics
Category Theory
We use the language of quivers to formulate a mathematical framework for
phylogenetics....
Global-in-time Strichartz estimates and cubic Schr\"odinger equation in
a conical singular space
February 19, 2017
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Mathematics
Analysis of PDEs
Spectral Theory
In this paper, we study Strichartz estimates for the Schr\"odinger equation
on a metric cone X, where X=C(Y)=(0,∞)r×Y and the cross section
Y is a (n−1)-dimensional closed Riemannian manifold (Y,h). For the metric
g ...
Post-Quantum Cryptography(PQC): Generalized ElGamal Cipher over
GL(8,F251)
February 12, 2017
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Computer Science
Cryptography and Security
Cryptography and Security
Post-quantum cryptography (PQC) attempts to find cryptographic protocols
resistant to attacks using for instance Shor's polynomial time algorithm for
numerical field problems like integer factorization (IFP) or the discrete
logarithm (DLP)....