Time Definition and 1000 Threads

DISTANCE METRIC, 2D: $$d = \sqrt{x^2 + y^2}$$ DISTANCE METRIC, 3D: $$d = \sqrt{x^2 + y^2 + z^2}$$ DISTANCE METRIC, 4D: $$d = \sqrt{x^2 + y^2 + z^2 - ct^2}$$ You SUBTRACT elapsed time from the spatial distance. Yes, elapsed time is called "imaginary distance," and vice versa. However...

I started out by finding the w (omega) value for all of the three states but I'm not sure where to go from there.

I have heard from a knowledgeable physics proffessor, time exists independently and it is not a consequence of arrow of time. Could some body explain this?

If time slows down for an observer traveling at some speed relative to your proper time, shouldn't the traveling observer also see your time slow down relative to his proper time? Or does the observer see your time speed up relative to his proper time. Also, is dilation exactly the same in...

If the universe were to re-collapse, the Hubble constant would increase over time. Since the age of the universe is the inverse of the Hubble constant, the age of the universe will decrease. Does that mean time reversal?

We study metrics, in them, we take time as a coordinate. I mean to say that if time is a coordinate then in normal mathematical language, we can have negative coordinate values as well. This confuses me a lot as I want to see and understand the concept from the true physicist's perspective...

Consider an observer on Earth (Neglect any effect of gravity). Call him A. Let 2 rockets be moving in opposite direction along x-axis (x-axis coincides with the x-axis of A) with uniform velocities. Call them B and C. At t=0, in A's frame, the rockets are separated by length ##l## . Let ##V_a##...

Summary:: what do 12:00 AM and 12:00 PM really mean. How do you say the time at at noon. is noon 12:00 AM or 12:00 PM? 12:00 AM means 12 hours before meridian or before noon so 12:00 AM should mean 12 hours before noon or midnight. 12:00 PM means 12 hours past meridian or 12 hours...

I mean, as a simple example, vector analysis involves the study of higher-dimensional objects in Euclidean space, objects that are downright impossible to visualize using simply pencil and paper. When my professor taught it, he often explained the topics using analogies that tied into vector...

Hello All The Hafele-Keating experiment in 1971 confirmed measurable time dilation effects on atomic clocks flown around the Earth on aircraft. Presumably clocks aboard the International Space Station suffer worse time dilation because of their greater speed in orbit. How often are corrections...

Write a linear equation. A school district purchases a high-volume printer, copier, and scanner for $24,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be $2000. Write a linear equation giving the value V of the equipment during the 10 years it...

Did some searches through these forums but didn't find this exact question. I'm sure it's already been asked, but I just missed it, my apologies. Please link. I’ll try and ask this question in 3 different ways, and maybe the idea behind it will become apparent. I know that semantics can really...

Homework Statement:: This isn't a homework but more of a conceptual question. Relevant Equations:: Proper time, ##\tau## Simply put, the proper time between two events as observed in an unprimed frame is calculated along the timelike worldline between the two events. This implies that the...

the calculation 6C4 shows 15 but what if all sets are to be distinct? meaning 1,2,3,4 is the same as 4,3,2,1. I made a tree diagram and i get 10... assuming i did that correctly...?

I want to simulate the time domain data for a rotating radar. I assume that the space around the radar is filled up with a very big extended object and it moves with a constant speed in one direction. Picture attached.I don't take range information here. I am only concerned about the velocity as...

Just as the time dilation formula for the Schwarzschild metric in terms of the position ##r## away from center of mass for a gravitational body and the Schwarzschild radius ##r_s = {2GM}/{c^2}## is given by $$ \tau = t \sqrt{1 - \frac{r_s}{r} } $$ so I'd like to know the corresponding...

According to Relativity, any object traveling at c will not experience time, because of time dilatation. It will seem to the object that it has traveled instantly while ages may pass outside. Further, an object without rest mass will always travel at c. Therefore, if there were no objects with a...

So my idea is: Let's say you are in a room, that is 10km in the ground (so its closer to the center of gravity of earth) and made of Osmium. Could it be that the room, because of its mass, actually bends the space time with the Earth's help more so time could be running slower for you? If it is...

Since the time like spacetime interval is equal to proper time for stationary or traveling observers, then it seems time dilation (proper time) seen with traveling clock is necessarily frame invariant. Then the so called time between ticks of both identical clocks, with stationary and traveling...

In derivation of relation for pressure of Gas ,(see pic below) the time for rate of change of momentum of molecules should be the time for which the wall of the vessel and the molecules kept interacting with each other, not the time between successive collisions. As circumscribed below, my...

hi users, I'm a new member of the forum. My question is about time travel in the quantum world. I am aware of the enormous limitations, but my topic is about individual particles and their ability to travel through time, is that possible for them? My question comes from a speech by an important...

Is it possible for me to get a PhD in electrical engineering while going part time, one class at a time? The college I'm thinking of going to has a 8 year time limit for PhDs before credits expire. 8 years seems like a long time. This would allow for 16 different classes, not sure if summer term...

Is there a constant for the rate at which time slows relative to the amount of mass? If so would there be a base measure eg time being present with 0 mass

So if I have a tubular reactor for nanoparticle synthesis (PTFE tubes ID:2mm). The tubes are heated in a furnace. liquid Reagents at room temperature are pumped by a syringe pump and directed toward the furnace. The reagents decompose to form nanoparticles once they reach the steady-state...

Hello: Let's say you have a string and get data by changing the frequency a transverse wave in the string to get different standing modes. You measure the wavelength of each mode for each frequency. That is, the data you get are frequency and wavelength. Now, you are trying to find the...

Maybe we could use (1) uncertainty principle $\Delta E \Delta t = \hbar$ and get $\Delta E$ from the spetrum. Or (2) forced vibration model, then get the damping factor $\gamma$， and get $Delta t = frac{1}{\gamma}$

1) -|2x-3|+|5-x|+|x-10|=|3-x| 2) |2x-3|-|5-x|-|x-10|-|3-x|=28 3) -|2x-3|+|5-x|+|x-10|≥|3-x| How can we solve these problems? The method I know is to plug in the critical values to see which modulus becomes positive and which one becomes negative. Then find out the values of x for which the...

My country has been hard hit by second wave of covid, so bad that the colleges that were conducting classes online had to be paused for two weeks. So since i have time, i am thinking of using it properly. I was wondering should i pursue how to proof in maths since i have linear algebra in my...

Inertia I = 2/5 mr² m=5.98* 10^24 kg. r=6.38* 10^6 kg. I= 9,736 * 10^37 kg. Earth rotation is V= (2 * pi* R)/T = (2*pi*6.38*10^6m)/(24*3600s)=463 m/s angular velocity w= V/r =463m/s/(6.38*10^6m)=7.27*10^-5 rad/s Enerrgy, E= 0.5* I*w²=2.57*10^29 j I get the...

Another member and I, in private conversations, have been discussing the time average tension in a pendulum string. He has done a numerical analysis of the problem, and his calculations indicate that the time average tension is less than mg. I have analyzed the problem analytically by...

A long time ago, I was very impressed by a lecture on elementary special relativity which showed in simple math how the correct conclusion to the null results of the Michelson-Morley experiment were obtained by concluding a constant c but then adding a length contraction and time dilation. I...

I am looking for an example of a classical system without time reversal symmetry. I would appreciate any help.

y=mx+c by z=log y axis m=9-2.5 / 35 = 13/70 z=13/70 * (t-1983) + 2.5 log y = 13/70 * (t-1983) + 2.5 # doubling time: t1=y1, t2=y2=2y1 log y1 = 13/70 * (t1-1983) + 2.5 ---{1} log (2*y1) = 13/70 * (t2-1983) + 2.5 ---{2} {2}-{1}: log2=13/70 * [(t2)-(t1)] [(t2)-(t1)] = log2/(13/70) # for log...

This is just something unexpected that I noticed recently, and I hadn't heard anyone mention it before. The relativistic Lagrangian for a particle moving under a scalar potential ##\Phi## is this: ##L = \frac{1}{2} m g_{\mu \nu} \dfrac{dx^\mu}{d\tau} \dfrac{dx^\nu}{d\tau} - \Phi## This leads...

(a) I imagine there are several rectangles to represent the area under graph of p vs t then I try to make equation for the total area. Since the question asks about time when the container holds 22 fewer liters than it does at time t = 9, I think the total area of rectangles starting from t = b...

I don't have much knowledge on general and special relativity except what I watch on youtube and read, btw. Edit: In addition, is traveling through a geodesic in spacetime relativistic between the object and spacetime itself? In other words, if I was traveling through a geodesic deep in space...

The graph: 1) $$v_1 = \frac{\Delta{x}}{t} = \frac{5 - 3}{3} = \frac{2}{3}$$ $$2 = \frac{\Delta{x}}{t} = \frac{4 - 0}{5 - 1} = 1$$ $$\frac{v_2}{v_1} = \frac{1}{2/3} = \frac{3}{2} = 1.5$$ 2)Points of intersection of the lines with the x-axis: ##I## (0; 3) and ##II## (0; -1), thus $$\frac{2}{3}t...

height from ground speed 100 40 80 48 60 60 40 72 20 80 I tried to plot the points (speed on x-axis and height on y axis) and I got more or less like a straight line but I am not sure whether the graph would help to calculate the upper and lower limit of the time. I also tried to...

In audio application i can automate playrate envelope (playhead speed) 1 = original speed, 2 = 2 x original speed, 3 = 3 x original speed etc.. Now i need to calculate time it takes for playhead to travel each section its easy to calculate time for section 1, where speed is constant time =...

My attempt at solving case B I've attached my attempt at case B above. What problem I'm facing is that after writing equation of angular SHM, I'm getting angular acceleration proportional to cube of angular displacement, which doesn't reduce to SHM. So how to find time period for this...

what is the equation on finding the ''The time required for the current to grow to ...Amps'' i was asked to find The time required for the current to grow to 2.5Amps ,and i found out that its some where around 174.38ms, using Ltspice, but i want to find it out by calculating it out.

Has anyone ever watched dragon ball Z before? In this TV show, there is something called the hyperbolic time chamber. 1 day on Earth is equivalent to 1 Year in the time chamber. In other words, if you stayed in the chamber for a full 24hours than exactly 1 year would have passed when you left...

If we have two clocks, A and B, that are identical, and if one is moving with respect to the other one, we know that they must run at different speeds. (Right?) One must run slower than the other. But we cannot tell which of the two clocks is the "moving" clock. So, how do we determine which...

This device, if it or something similar exists at all, needs to be completely mechanical without ANY electricity and be really precise and strong (to last a long time). Press a button in order to trigger the start of the delay time. It must start only when the button is fully pressed down (or...

Hello. We all know ##Q = mc\delta t##, but is there an equation which describes the time it takes for a mass to freeze/melt given a certain specific heat capacity? This way you could for example quantify how long it takes room temperature to freeze in a freezer (or any element).

The point of confusion is deciding the direction each persons sets out in i.e. velocity direction of each person. Knowing this will probably help in getting the solution. At t=0, I can say that velocity of each person is as shown in diagram below.

I am confused about the notion of proper time because it is defined as one's own time measured by one's own clock, but any given person is in all circumstances naturally at rest with respect to himself and therefore his "own proper time" is the coordinate t; am I wrong? So contrary to this...

Sometime in the future two men meet at a space port and they synchronize watches, one boards a spacecraft and goes on a round trip around the solar system, when he returns the two men compare wristwatches to find they have different times. Q. Do the two men still exist at the same time or not?

I don't know the distance or the horizontal velocity so I can't find any logical solution