Illustrating Einstein’s Special Relativity: A relativistic diagram that displays in true values the components of a four vector
نویسندگان
چکیده
After having shown that the corresponding components of a four vector transform via the same transformation factors as the space-time coordinates of the same event do, we design a relativistic diagram that displays in true values theirs components. One diagram works for events generated by tardyons whereas a second diagram works for events generated by light signals or photons. We consider both approaching and receding tardyons respectively photons in each case. We also show how the relativistic diagram works for radar and photographic detections of moving profiles.
منابع مشابه
The Invariant Formulation of Special Relativity, or the ”true Transformations Relativity,” and Electrodynamics
In the invariant approach to special relativity (SR), which we call the ”true transformations (TT) relativity,” a physical quantity in the four-dimensional spacetime is mathematically represented either by a true tensor or equivalently by a coordinate-based geometric quantity comprising both components and a basis. This invariant approach differs both from the usual covariant approach, which ma...
متن کاملSpecial Relativity: A Centenary Perspective
2 Fundamentals of special relativity 80 2.1 Einstein’s postulates and insights . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 2.2 Time out of joint . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 2.3 Spacetime and Lorentz invariance . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 2.4 Special relativistic dynamics . . . . . . . . . . . . . . . ...
متن کاملCalculation of the relativistic bulk tensor and shear tensor of relativistic accretion flows in the Kerr metric.
In this paper, we calculate the relativistic bulk tensor and shear tensor of the relativistic accretion ows in the Kerr metric, overall and without any approximation. We obtain the relations of all components of the relativistic bulk and shear tensor in terms of components of four-velocity and its derivatives, Christoffel symbols and metric components in the BLF. Then, these components are deri...
متن کاملThe Principle of Relativity: From Ungar’s Gyrolanguage for Physics to Weaving Computation in Mathematics
This paper extends the scope of algebraic computation based on a non standard $times$ to the more basic case of a non standard $+$, where standard means associative and commutative. Two physically meaningful examples of a non standard $+$ are provided by the observation of motion in Special Relativity, from either outside (3D) or inside (2D or more), We revisit the ``gyro''-theory ...
متن کاملDoubly Special Relativity
I give a short non-technical review of the results obtained in recent work on “Doubly Special Relativity”, the relativistic theories in which the rotation/boost transformations between inertial observers are characterized by two observer-independent scales (the familiar velocity scale, c, and a new observer-independent length/momentum scale, naturally identified with the Planck length/momentum)...
متن کامل