It is notable that time dilation is not limited to kinetic or gravitational time dilation, but by virtue of the unification of gravitation and acceleration by the Equivalence Principle of General Relativity, by acceleration as well. In all cases, Time Dilation is…
read moreOn the surface, the concept of Time Dilation seems so strange to us that we imagine its formula must be one of incredible complexity. In reality, its incredible simplicity almost belies the genius required to conceive of it (Minkowski, Lorentz, Einstein). It…
read moreHistorically, a point has been described as an exact location in a space, with no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space. Therefore, the mathematical definition of the…
read moreThe term wave function is often associated explicitly with Quantum Physics, but this is just one special case of a wave function. In broader terms, a wave function is a function that satisfies a wave equation and describes the properties of a…
read moreDimensional analysis is the analysis of relationships between different physical quantities by identifying their base quantities and units of measure and tracking these dimensions as calculations or comparisons are performed.
read moreNatural units are physical units of measurement based purely on universal physical constants. Well-known examples include the speed of light c, the electric charge e, and the gravitational constant G. In an ideal mathematical description of our universe, all of these would…
read moreA differential equation is an equation that imposes relations between the various derivatives of a multivariable function. It relates the rate of change of one variable in the function to the rates of change of other variables in the function.
read morePoisson’s equation is an elliptic partial differential equation used widely in theoretical physics.
read moreQuantum chaos is a branch of physics which studies how chaotic classical dynamical systems can be described in terms of quantum theory. The primary question that quantum chaos seeks to answer is: “What is the relationship between quantum mechanics and classical chaos?”…
read moreChaos theory describes the underlying patterns and deterministic laws of dynamical systems that were once thought to have completely random states of disorder and irregularities, but found to be completely deterministic but simply highly sensitive to initial conditions. Such high sensitivity to…
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