Minkowski diagram Definition and 36 Threads

Reading again this old thread Einstein Definition of Simultaneity for Langevin Observers, I'd like to ask about the following. Consider a disk rotating at fixed angular velocity ##\Omega##. In the inertial coordinate system the center of the disk is at rest, the worldlines of the Langevin...

I have checked several textbooks but haven't found a method to measure the spacetime interval directly with a ruler in a Minkowski diagram. Various LLMs also couldn’t provide a reference. All sources I found define the interval algebraically and emphasize that it differs from Euclidean...

Caveats: I'm sure this is kind of putting the cart before the horse here, because if I have to ask this question, it surely means I ought to be reading up on it first. This is for a story, but that should not mean this is the wrong forum; I'm really just asking about the basics of Minkowski...

In the case of two rulers of equal rest length moving past one another ibex posted the minkowski diagram and I have a question about the one diagram that follows the following comment by him: Note that, in the primed frame, "State 2" is after "State 3"! This is the relativity of simultaneity...

I drew the Minkowski diagram, but I'm not sure if this is correct. From what I drew the angle between x and ct ##\approx 0## then the event is "inside" the light ray and will eventually reach A.

Hi, starting from this post Basic introduction to gravitation as curved spacetime I would ask for a clarification about Rindler coordinates. From this wiki entry Rindler coordinates I understand that the following transformation (to take it simple drop ##y,z##) $$T = x\sinh{(\alpha t)} ...

I'm reading a book called "Reality is not what it seems: the journey to quantum gravity" by Carlo Rovelli and I'm struggling to understand this diagram that is part of the chapter about special relativity. https://i.stack.imgur.com/JgBDJ.jpg Before this image Rovelli writes: "It's not...

Since the metric is euclidean in coordinates ##(ict,x)## it can be drawn in a plane, but if the metric is ##diag(1,-1)##, can both axis still be drawn in a plane ?

Hi, I've written a script-based spacetime diagram generator. I have no idea if it has any value for anyone besides myself—you may have access to better tools than I do. When I looked for spacetime generators, I only found some very limited web tools and one downloadable program that wasn't much...

Is this how you would draw the Minkowski space diagram with space expanding, (without acceleration or black holes) ?

I'm confused as to how far apart the hash marks should be on a minkowski spacetime diagram that shows the rocket frame overlapped over the lab frame. Should the hash marks that represent space in the rocket frame be spaced apart exactly the same length as the hash marks that represent space in...

1. Homework Statement Why does the non-relative simultaneous frame have an additional term of ##v \Delta t## along with the contracted length ## L ## for ## \Delta x ##? 2. Homework Equations ## L + v \Delta t = \Delta x ## ---- (1) ## \Delta x = \gamma \Delta x' = \gamma L_{\star} ## ----...

There is a relationship between each of the mathematical values in each of the paradoxes with regard to each observers. There is obviously also a relationship between every situation we study in the Special Theory of Relativity. The Lorentz Transformations obviously prove this. So, I began to...

Homework Statement [/B]Homework Equations Mathematica The Attempt at a Solution I want to plot the diagram using Mathematica. I saw on the net there is some kind of programming needed for this. Do I need to learn programming for doing this? If yes, how to learn it?

Can anyone please illustrate highlighted part? Can anyone please explain me how invariance of s^2 is useful in characterization of events? I didn't understand the highlighted part i.e. how to determine velocity of S' relative to S?

Hello, I noticed something peculiar when looking at the Minkowski Diagram and I'm not sure how to interpret this. Let observer A be the reference frame for the diagram and B someone who travels with respect to A. The red line is the displacement of light over time. The blue, yellow and green...

I've made a Interative Minkowski Diagram Tool, http://divykjain.github.io/IMD You can add events, connect events and add world lines. Lorentz transformation for moving frames also present. I've added support for frame velocities equal or greater than light speeds(but the animations are a mess...

1. Homework Statement In a diagram where I have two observers (one still (A) and one moving with a "v" velocity (B)), where the two parts disagre in the simultaneity of events, how can I prove that the angles of the B person axis that are put in the A person axis are equal. (/alpha=/beta , in...

Something that has been bothering me for a while is this question. As seen from this Minkowski diagram,http://imgur.com/GkBN2HQ , the angle between x and x' is equally big as the angle between ct and ct'. I really can't seem to figure out why this is, although I think it has to do with the...

Hi. I have seen quite a lot of demonstrations of time dilation and length contraction that used standard Minkowski diagrams WITHOUT any scales on the axes at all. If I understand them correctly they seem to directly compare lengths, which would imply (I think) that the scaling on the ##ct/x##...

Hello, First of all, I'm sorry since I bet there are quite a few threads about this but I still have a bit of a hard time wrapping the axes of the Minkowski diagram around my head. I understand very well that, to have the speed of light traveling at a 45 degree angle in a space-time diagram...

Couple of questions as to how to interpret the Minkowski diagram when it comes to intergalactic space. 1) To begin, I'll make some pre-assumptions to the question, which you may correct if I'm wrong: 1a) Within any given galaxy, the distances between it's constituent stars is roughly equal...

Homework Statement two objects are at rest in an inertial reference frame. Two objects accelerate simultaneously in the same direction until reaching half the velocity of light and then halt simultaneously. The two objects are initially connected by a thread just long enough to cover the...

I had some questions about how to understand the Minkowski diagram better: 1) One thing that I hear characterizes a light ray or a photon is that it "experiences no time." That is, it's time dilation is so extreme that at the "null lines" or light cone lines at the 45 degree mark, the...

Hi everybody, This is my first post, so I apologise for all the possible mistakes that I can make now and in the future. I promise that I'll learn from them! My question is the following: It's well-known the relationship between two pair of cartesian axes when a circular rotation is made...

This is a little toy I put together that I thought might be of interest: http://ibises.org.uk/Minkowski.html It's an interactive Minkowski diagram. You can add events and connect them up with straight-line paths, then Lorentz boost either to a specified velocity or to the rest frame of a...

Suppose we have a spacetime diagram like this: Red lines indicating light travel from the moving object to the observer. Object is moving at the speed of 0.8c. At this speed we have: Lorentz factor 1/√(1 - v2/c2)=1/0.6=1.66(6) Relativistic Doppler effect √((1 + β) / (1 - β)) = 3 My question...

Hello, in my other topic members on the forum helped me to understand time dilation by using Minkowski spacetime diagram. Now i would also need some assistance with explaining length contraction in Minkowski spacetime diagram. I have observer Žiga in his frame ##x,ct## and observer Ranja...

After i figured out how to show length contraction in this topic. I tried to use a similar way to show time dilation in Minkowski diagram. Time dilation means that time interval between two events is the shortest in the frame in which those two events happen in same place. We call this frame its...

I was reading through my textbook and it said that the angle between the axes of two inertial frames, one stationary and one moving at velocity v is supposed to be tan^-1(v/c). I assumed this would be easy to show, but after spending a couple of hours on this probably trivial problem, I can't...

I have a trivial question: Let assume a world sheet of a time-like spherical shell in Minkowski space-time. On the 2D-Minkowski diagram (R,T), where R is the radius and T is the time, the world line is represented by a time-like curve. Let assume that the shell collapse and its 4-velocity is...

Good morning, We are trying to understand Special Relativity through internet, and we would like to ask a couple of questions about the subject. We plan to post more questions as more doubts arise. Both doubts concern the Minkowski space-time diagram. First doubt: in the temporal dimension...

In the twin paradox, if B moves away from A at constant high speed what would the minkwoski diagram look like in the frame of A and in the frame of B. well in the frame of A. if B starts next to A i.e. at O and is moving at close to c to begin with the world line of B will just be a straight...

hi :smile: I'm working on "Relativity on Minkowski Space and Minkowski Diagrams" as my undergraduate project. I have some references for my project but I want to make it perfect. May you introduce me some cool stuff (references, interestings, topics to work on & etc.) about this topic...

draw a minkowski space-time diagram for s and s' showing x- and ctaxis as well ass the x'- and ct'-axis. the x-axis and ct axis will span from 0-5m. everwhere x'-axis ct'=0 and likewise for ct'-axis x'=0. [(v=0.6c)(t=t'=0, x=x'=0)] so any way I start out with drawing ct and x. like a normal...