Out of Pod Experience

Yes, it does. The Lagrange point is where the gravitational force turns around. And yes, Sun and Earth do posses an L1 point.

I wrote they (two objects of different mass) can have no L1 point. Not they never can have one. Are you really this bad at reading?!

I am starting to think that you are no more than a kid who tries to be clever by using Google and pretends to be a scientist in the off-topic section of a game forum.

yes actually! water has many interesting properties and the two most important for the effects i think you are referring to is the fact that it is an incompressible fluid and that it expands when it freezes. a good example of the former is something that some friends of mine and i did as undergrads. we decided to try and shatter a Nalgene bottle! after several attempts, all of which failed, we eventually succeeded by filling the bottle completely with water (as little air inside as possible) and dropping off an eleven story building XD the bottle deformed when it hit the ground, but the water inside was incompressible, so its volume stayed approximately constant. the resulting pressure differential shattered the bottle :3 freezing water is a major erosive force on the earth because it expands (a property observed in only a select few materials)! again, because the fluid is incompressible we might have been able to break the bottle filled with water by freezing it as well!

there may be a number of reasons why your experiment failed. the most likely may be the presence of air in the bottle. unlike water, air is extremely compressible and if it is present in the bottle, then it will simply compress as the water freezes. the second reason may be the type of bottle used. many plastic bottles are designed with their ductility in mind, and your bottle may have simply stretched under the expanding force of the water.

hope this helps!

Boring!

In my 5th or 6th grade did we fill a cast iron ball with water and sealed it with a thick screw. When we froze the cast iron ball did the freezing water burst it.

Nalgene bottles, really?!?

I am not the one who seeks recognition in an off-topic forum for being a particle astrophysicists.

I know, but you are also bad at accepting a lesson or two. Maybe try not to cave in too quickly?

I believe I heard this one from the science channel. The belief is that faster than light travel is possible and our assumptions are that it would literally be easier to move space itself rather than the vehicle.

So how would untold ammounts of ships (all fitted for 'warp' travel) effect the universe if theyre all sporadicly tugging everything in all directions at basicly the same time? Sounds like kids fighting over a blanket, only you know, there isnt a winner...

Alright, I have one, though I suspect this to be more of a mathematics thing. But hopefully you can answer or perhaps someone else.. Why is the imaginary number system in relation to i = square root of -1 versus i = - , I've been trying to wrap my head around this, I understand the system as it is. But a philosophical and real life application seems to be out of my understanding. Isn't a negative number in itself imaginary, and simply a owe'd / wanted existing number of something. Like 5 - 8 doesn't work unless you add (-) to the equation which we can simply say is multiplied by a -1, meaning the answer -3 is actually (-1)(3) as it gives an ethereal answer to something that simply doesn't exist.

To delve further the negative sign itself is a symbol of imagination as there isn't -6 cars irl, it's simply a lack of or a want of 6 cars. To go further. To solve say square root -25 we change it to square root 25 x (-1) and get to 5 x square root -1 which we define as 5i, but couldn't it be that square root -1 is the same as square root 1 x -1 and continue on perpetually? To which case the only thing that makes it true is a single -1 or perhaps an opposite 1 x -1, as 1 x 1 = 1, -1 x -1 = 1, and 1 x -1 = -1, why isn't there say 1 x -1 = 1? or like x^2 = -25 (5^2i) it would be such that it's simply the same as -(5^2) thus the i is unneeded as the negative itself is imaginary? Wouldn't it be basically mean that whenever a number interacts with a negative number it always become a negative, and whenever an negative interacts with a negative it turns into an opposite. Thus the equation x^2 = -25 is wrong x^2 = 25 and x can be either - or + and the equation -25 = x^2 is written -25 = -(x^2) with aboslutely no need for (i) as the negative is imaginary. It's like saying 5 = 8 because 5(i) = 8 I can make up something up too

I guess I'm trying to figure out the fault in my logic and would like a better explanation of this system as it as itself seems to be a different take of an already existing system in which it's purpose has no real application versus a negative as a representation of an imaginary number? Sorry if this is completely on a different title


But in regards to something like divide by 0, which isn't it simply the interaction of a (I forget the term) whole(?) number with 'nothing'? if you add nothing all you have is the same thing that you started with or minus nothing same thing. However when we multiply by nothing the whole number no longer exists, why? and why is it out of bounds to say division by nothing is nothing, generally multiplication and division are inverse to one another correct? If multiplication is # by sets of this # and division is # into segments of this #. What is the true need and limitation of dividing by 0


I hope this doesn't sound too confusing, I'm trying to wrap my head of the purpose of these two systems, as I'm going to call it , as zero interacts with numbers in a rather bizzare fashion that seems completely made up in a way the negatives / imaginary numbers work? If it is, I would try to best reformat as i can, but truly I'm failing to see their functions or motions to be complicated or merit of existence.

I see, so it's just a function that gives us the answers to multiple dimensions on multiple coordinates on a plane that would otherwise be untrue in regards to the real number system, but said system cant acocunt for it even though it is 'there' am I reading that right?

Thanks again. if anyone else has more light to shed I would love more explanations.

right, so there are a couple of things here, but the major point i want to make here is that mathematics is simply an extension of logic. The Conclusion Follows The Premise. and while this aspect of mathematics is absolutely fundamental to our universe, the nomenclature is not. we have DEFINED imaginary numbers to be a specific thing. they are no more or less imaginary than the characters "3" or "i". what they represent is what's important, not what they are called. in fact they are usually referred to by those who work with them as Complex numbers, and there is a whole field devoted to studying their properties called Complex Analysis.

the numbers that we are most familiar with are Natural Numbers. these are only the positive integers. we have 6 apples, or 1 troll, or 20 rifters etc... Complex numbers are entirely separate from these. they do not manifest directly in nature in the same way as -6 cars are no where to be found, but just as we may use -6 cars to say "you owe me 6 cars" we can use complex numbers to make mathematical statements that might otherwise be impossible with only naturals.

Complex numbers are commonly used in the description of oscillations, as anyone who as done AC circuit analysis can attest.

you are absolutely welcome to make up whatever you choose! the important thing is that you follow your initial premise to its logical conclusions. dividing by zero is just not allowed in "usual" algebra because it lets you do crazy things like proving 1=2 and such. you could, if you wanted to, create a mathematical system where division by zero is well defined, but this wont be algebra as most of us know it. there are many types of algebra with many definitions that people "just made up" in order to help them describe specific mathematical situations. for example, one of these most famous "other" algebras is Grassman or Exterior algebra, which basically defines multiplication as being anti commutative, that a*b = -b*a. while this is not immediately useful in, say, making change, it is exceptionally useful in the description of the Cross Product and Outer Product on arbitrary vector spaces, or calculating commutation relations in quantum mechanics.

it all depends on what you want to do with the math i suppose. i'm really REALLY bad at abstract mathematics so i hope this response helped at least a little...

i comment on possible FTL travel methods in post #260 on page 13 =D recent calculations on the methods which involve the distortion of space-time ahead of and behind the ship DO indicate that the effects could be locally devastating!