# The Distance between two points in a hypothetical universe.

I have a hypothetical universe where the distance between two points is defined as:

ds²=−(ϕ²t²)dt²+dx²+dy²+dz²

Where t is time, x, y & z are space and ϕ is a constant has units of km / s². The space in this universe grows quadratically with time (and, as I understand it, probably isn’t Minkowski spacetime). A particle travelling at the speed of causality, c, will follow this contour from point O to point P (see attached image).

Given the time between point O and point Q, is it possible to find the distance from point P to point Q (e.g. does a function exist such that f(Δt)=dL)? If so, what is that formula?

Note that I've had some preliminary work done in Mathematica to describe this space (see attached also).

( 6 reviews ) Bolton, United States

Project ID: #17735500

## Awarded to:

ivanf1

Hello, I am a theoretical physicist. I have experience with many types of metrics. I would be glad to work on Your project, please be free to contact me.

\$250 USD in 10 days
(1 Review)
2.8

## 20 freelancers are bidding on average \$354 for this job

dinhfreedom

Hello, there, I am very happy to put my bid on your project. I am an expert of mathematics/algorithm and senior software developer, so I am interested in and confident to do this project. I hope to discuss everythin More

\$250 USD in 5 days
(56 Reviews)
6.3
issi

You have Minkovski space with redefined time. You can return in usual Minkovski space by defining time t1=Integral(phi t dt). If you want to know more about distances in 4-dimensional pace along geodesic line you can l More

\$250 USD in 10 days
(51 Reviews)
5.6
RushService

Feel fee to contact me for Distance between two [login to view URL] me message to discuss further more details .We provide the commments,images,videos,demos and live sessions in order to help the [login to view URL] payment only More

\$250 USD in 3 days
(45 Reviews)
5.8
nodinh325

Hi, I am professional in in a hypothetical universe. I calculated distance between two points in a hypothetical universe previously. I can do your project perfectly. Thanks.

\$250 USD in 7 days
(32 Reviews)
5.3
rabbora

Dear sir. I am mathematics expert. I can help you. I have experience to solve many mathematics projects using mathematica.

\$500 USD in 3 days
(33 Reviews)
5.3
williams115

Hi, there - My name is Phong. I have read your job description and I am very interested in this project because I have good experience with mathematics and programming. I would love to speak with you further about ta More

\$250 USD in 5 days
(21 Reviews)
5.4
olaideejiwole

I have Masters degree in Mathematics. I also have 7years of professional experience working in Mathematical modelling and analysis, Sinusoidal mathematical, Fourier series transform, Differential equation, Mathematics, More

\$250 USD in 1 day
(22 Reviews)
5.1
blackbox311

Dear. I am a professional in mechanics/physics. I have many experiences in such works. I am sure I can do it. We can discuss details via chat. I wait for you now. Thanks.

\$300 USD in 10 days
(28 Reviews)
4.9
Raghavanps

This should be solvable - appears like a problem to determine the distance as you call it. There are a few more details that I will ask you later.

\$555 USD in 20 days
(5 Reviews)
4.3
Valuesolutions

\$250 USD in 5 days
(19 Reviews)
4.5
prefectworld

I am an expert, in mathematics I have effectively executed numerous solution errands than you can ever envision both on consultant and off consultant. It will be a joy working with you on this one, Sir

\$250 USD in 2 days
(19 Reviews)
4.6
deepak1iit

I have graduated from the best university of India. I have 1 US patent and multiple IEEE papers. I have good knowledge about python,matlab. Hope , I will be able to help you.

\$555 USD in 10 days
(3 Reviews)
3.6
sysdesigner13

Hi, bro. Nice to meet you on here. I have read your description CAREFULLY so I am very confidence for your project I am very experienced and skillful with mathematics and matlab. I have full experiences so I can co More

\$250 USD in 3 days
(7 Reviews)
3.4
consultotal

I am Scientist, electromechanical engineer, specialized designs, command over digital simulations and write papers are of my better skills. I have more of five years of experience development works and researches of sc More

\$750 USD in 10 days
(2 Reviews)
3.8
yjping1986

Dear Sir. While reading your project description, I felt excited with intention to satisfy your demand. I’ll complete your project ASAP. I have rich experience in MATALB.

\$250 USD in 3 days
(8 Reviews)
3.7
braincenter

I believe that my experience and skill in this background will prove to be of great help to you. Contact me to discuss more on the details

\$250 USD in 4 days
(4 Reviews)
3.9
general985

Hello sir. I'm excited about your project, because I've really rich experience in MATLAB & Math Programming. I've developed many projects similar to yours and excellent skills. If you award me, I'll provide wonderfu More

\$300 USD in 10 days
(3 Reviews)
2.7
DuongTom

hello employer nice to meet you i have seen your post i think we can cooperate if you want, plz contact me

\$555 USD in 10 days
(3 Reviews)
3.8
\$555 USD in 10 days
(0 Reviews)
0.0