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Hybrid Vibration Control of Tall Tubular Structures via Combining Base Isolation and Mass Damper Systems Optimized by Enhanced Special Relativity Search Algorithm
Structural engineers face the challenge of mitigating seismic damage in various structural systems. Conventional methods such as massive...
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Relativity
In this chapter, I will present a brief overview of the Theory of Relativity, especially as it relates to mechanics. Before doing so, let me remind...
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Assessing GPT-4’s role as a co-collaborator in scientific research: a case study analyzing Einstein’s special theory of relativity
This paper investigates GPT-4’s role as a research partner, particularly its ability to scrutinize complex theories like Einstein’s Special...
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Schwarzschild’s metric and the Landau–Lifshitz formulation of general relativity
Fromholz, Poisson and Will (Am J Phys 82:295–300, 2013) examine Schwarzschild’s original 1916 derivation of the now famous metric associated with his...
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The Misleading Implications of the Premise ‘0 = 0’ in the Standard Special Relativity
Mathematically speaking, it is justifiable to state that 1 = 1. If 1 = 1, then 1 = 1 × A is also correct if and only if A = +1. But can the same be...
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Elements of the Special Relativity Theory
In this chapter the four-dimensional Poincaré quadratic form was introduced in the study of kinematic relations and the four-dimensional velocity...
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The theorem of unified locality
In this study, a theorem about the vectorization of the entangled-photons trajectories is presented, and through it, an effect equivalent to the...
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Thermo-electrodynamics of conductive media based on the nonlinear viscoelastic Cosserat continuum of a special type
We develop a general nonlinear theory of thermo-electrodynamics. We show that two theories constructed in our previous works, namely the linear...
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Special relativity, de Broglie waves, dark energy and quantum mechanics
In this paper, we connect quantum mechanics with the recent work of the author Hill (Z Angew Math Phys 69:133–145,
2018 ; Z Angew Math Phys 70:5–14,2019... 
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Frequency Locking, Quasiperiodicity, and Chaos Due to Special Relativistic Effects
We study quasiperiodic and frequency locked states that can occur in a sinusoidally driven linear harmonic oscillator in the special relativistic...
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Relativistic Pulse Scattering
The scattering of electromagnetic signals by an object in uniform translational motion may be computed with the four-step frame-hop** method...
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Causality: Hypergraphs, Matter of Degree, Foundations of Cosmology
The notion of causality is very important in many applications areas. Because of this importance, there are several formalizations of this notion in...
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Some further comments on special relativity and dark energy
In this note, we provide some new derivations and further elaboration on a recent proposal by the author Hill (Zeitschrift fur angewandte Mathematik...
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Overview of General Relativity
Electromagnetism has not one, but four potentials: the scalar potential Φ, and the vector potential A. These give rise to two vector fields, E and B,...
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A mechanical model for dark matter and dark energy
We present a mechanical model that identifies dark energy and dark matter as singular states. The model introduces the notions of “forces in the...
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Ruban Universe Model Solutions with Scalar Field in f(R, T) Gravity
In this study, normal, phantom scalar fields (SF) and massive scalar field (MSF) solutions were investigated in f ( R , T ) and General Relativity...
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Time Dilation in Lorentzian and Modified Euclidean Metrics of Space–time
In the relativistic Lorentzian metric transformation, Minkowski (The Principle of Relativity, 1908 [1]) realised the possibility for a...
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Quantum Mechanics
In Chap. 14 , we covered the topic of relativity, which is concerned primarily with very large length scales in...
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Application of Kaniadakis κ-Statistics to Load and Impact Distributions
The article considers application of the Kaniadakis’ κ-statistics (non-extensive statistical mechanics introduced by C. Tsallis in 1988, is presented...