Author Archives: anuj - Page 11
Why Quantum Entanglement cannot be used to send instantaneous messages
Quantum entanglement is a fascinating phenomenon in quantum mechanics where two or more particles become interconnected in such a way that the state of one particle instantly influences the state…
Superluminal Potentials in Quantum Physics
The paper "Quantum Field Derivation of the Superluminal Schrödinger Equation and Deuteron Potential" by Betinis, published in Physics Essays in 2002, explores the theoretical foundations and implications of superluminal quantum…
What is Quantum Field Entanglement?
What is Field Entanglement? Field entanglement refers to the quantum entanglement between modes of a quantum field. Unlike particle entanglement, which involves correlations between discrete particles, field entanglement pertains to…
Token based access algorithms
Token-Based Algorithms Token-based algorithms are a category of distributed algorithms used primarily for ensuring mutual exclusion and coordinating access to shared resources in a distributed system. The core concept involves…
Suppose cp is a C1 function on R such that cp(x)+a and cp’(x)~b as xjoo. Prove or give a counterexample: b must be zero.
Suppose cp is a C1 function on R such that cp(x)+a and cp’(x)~b as xjoo. Prove or give a counterexample: b must be zero. To address the question, we need…
The Dirichlet problem and quantum entanglement
Dirichlet Problem and Quantum Entanglement The Dirichlet problem and quantum entanglement are concepts from different branches of mathematics and physics, respectively, but there are indirect connections through the underlying…
Verify that a boost in the x-direction that any object traveling at speed c in an inertial frame S travels at speed c in the boosted frame.
Verify directly from the form of the Lorentz transformation representing a boost in the x-direction that any object traveling at speed c in an inertial frame S travels at speed…
Find those subsets S ⊂ Z+ such that all but finitely many sums of elements from S (possibly with repetitions) are composite numbers.
Find those subsets S ⊂ Z+ such that all but finitely many sums of elements from S (possibly with repetitions) are composite numbers. To find the subsets S⊂Z+S \subset \mathbb{Z}^+S⊂Z+…
Qubit Exercises
Part (i) Find the scalar product ⟨Ψ−(θ)∣Ψ+(θ)⟩\langle \Psi_{-}(\theta) | \Psi_{+}(\theta) \rangle⟨Ψ−(θ)∣Ψ+(θ)⟩ and discuss. Given: ∣Ψ+(θ)⟩=cos(θ)∣0⟩+sin(θ)∣1⟩|\Psi_{+}(\theta)\rangle = \cos(\theta) |0\rangle + \sin(\theta) |1\rangle∣Ψ+(θ)⟩=cos(θ)∣0⟩+sin(θ)∣1⟩ ∣Ψ−(θ)⟩=cos(θ)∣0⟩−sin(θ)∣1⟩|\Psi_{-}(\theta)\rangle = \cos(\theta) |0\rangle - \sin(\theta) |1\rangle∣Ψ−(θ)⟩=cos(θ)∣0⟩−sin(θ)∣1⟩ To find…
what is the langlands program?
The Langlands program is a set of far-reaching and deep conjectures proposed by Robert Langlands in 1967, which aims to relate and unify various areas of mathematics, including number theory,…