People act, so my take is that if a person has to ask the question, it's unlikely they are going to do anything about it. So I figure they can just get on with whatever it is they do. :wink: Scenarios and conundrums are diversion strategies. — Tom Storm
This kind of hypothetical moral quandary puts people in untenable situations. If you accept the machine-like logical computation of Utilitarianism, or the god-like Categorical Imperative, then the moral solution would be obvious -- if you could instantly calculate all possible consequences of your decision. But very few humans (academic philosophers aside) don't think that way — Gnomon
Instead, we do quick back-of-the-envelope subconscious calculations, based on personal emotional values. That's usually good enough for small-group ethics. But when faced with global ethical repercussions, such as the Holocaust, ordinary people tend to do mundane acts (followed orders), and hope for the best. That's what Arendt called "the banality of evil" — Gnomon
You've never been tested in such a situation, because it is an extreme case, seldom met in real life. — Gnomon
a consequence of mostly insignificant individuals — Bitter Crank
You and I can can choose to ride bikes to work and the grocery store instead of buying big gas-guzzling SUVs, but neither of us are in a position to do anything about the 1 billion cars on the world's roads, or the giant auto, oil, steel, and rubber businesses committed to continuing business as usual, or even changing gears and replacing 1 billion gas guzzling vehicles with 1 billion electricity guzzling vehicles — Bitter Crank
You and I can bicycle across the country to help out in the next big disaster, but fortunately there are large organizations like the Red Cross, FEMA, Catholic Charities, Lutheran World Relief, and so on that are prepared to get there first and to start major relief efforts — Bitter Crank
How can a parallel copy of you and me be the same as us? — Cornwell1
I know you cant graph a 4D torus but what shape do you posit for the two universes?
Flat? — universeness
I assume the singularity to be the Planck-sized mouth on the 4d torus on which two 3d universe inflate from Planck diameter into 10exp11 times the size of the observed universe (about 90 billion ly). — Cornwell1
Well, if two halves on a 2d sphere contain particles that have identical relative positions and velocities , then they will develop identically. — Cornwell1
Dark energy has no related particle — Cornwell1
Well, in fact there could be two identical parts in the universe. Imagine the space that banged into existence. — Cornwell1
It had a diameter already of 10exp11 times the diameter of the observable universe. — Cornwell1
Yes, but there are 30 tubes in total, compared to 10 tubes for binary. See the ENIAC example link in my initial post. — Andrew M
Dark energy doesn't have a related particle — Cornwell1
Suppose we look at a galaxy near the edge. Far away in spacetime. My copy does the same. The galaxies are different because of interaction with stuff outside the two volumes. But if I see a different galaxy than you, we are not the same anymore. — Cornwell1
Yeah, I'm talking about the single infinite 3D universe introduced in the OP: "In an infinite universe <...>". I think you contributed with the idea of a 4D space with many 3D universes, but for the purpose of the OP I'm assuming a single infinite 3D universe. I'm also assuming that the universe has a finite age and it's expanding similar to our universe. — pfirefry
I don't find the idea of infinity very realistic. — pfirefry
The finite age allows us to consider the regions of the infinite universe so far removed from each other that there is there no way for them to interact with one another. If they sent beams of light towards each other at the moment of the Big Bang, the light wouldn't have reached the destination by today. — pfirefry
This sets the ground for a multiverse within a 3D universe. — pfirefry
Exactly. I'm assuming that singularity was uniform. When the universe started expanding, the areas of space appeared everywhere at the same time, so that space was already infinitely large the moment it appeared — pfirefry
I'm allocating a chunk of space in which an observer will exist. This area of space can be the size of our observer, or our planet, or our galaxy. Arbitrarily, I chose the size of a Hubble volume to connect with the OP. I will introduce the second circle to outline the observable/detectable 'section' of the universe, where the first circle acts as the observer. — pfirefry
let's say that yeast bacteria is living inside the dough. It can travel through the dough over time, regardless of its expansion. — pfirefry
The first circle is the boundary of your heart. — pfirefry
It just expands because new space appears for it to expand into. New bubbles of space are forming in the dough, while no new dough is being created. We don't know where the space is coming from, but we know that it just appears and it causes the expansion of dough. It's not important where the space is coming from for the purpose of the OP. — pfirefry
On the other hand, "The capital of France is Paris," is a true statement and I agree that it constitutes knowledge. I do knock my head against that a bit — T Clark
It's the theory of black holes. If you look at a collapsing sphere of dust from a distance, the sphere seems to slow down in collapsing. When the sphere has a radius equal to the Schwarzschild radius it seems to have frozen and starts to emit Hawking radiation over a long time. On the inside the process takes a small time, about the time it takes light to travel over the Schwarzschild radius (so for the Sun about 1/100 000 seconds as the SR is about 3km — Cornwell1
The matter seems to end up on the horizon because there time seems to stop — Cornwell1
I think I see how you envision it. If we are on opposite sides of the universe we are not on opposite sides of a 3d sphere.
The balloon (2D). Draw, on a huge balloon of say Earth size, a circle on it. Diametrically opposed points on this circle are you and I on opposite sides of the visible universe (which you can see from the center).
In reality the balloon is much bigger. If you draw a circle of one meter radius on the balloon, then the circumference of the balloon is about 10exp11 meter... About a hundred million kilometers. There's more behind the horizon — Cornwell1
This suggests that only one Universe exists and what you are about to describe are possible limitations for any lifeform living within it, yes?Let's say the Universe is an infinite sheet of cookie dough. — pfirefry
It was super dense 14 billion years ago, but since then it has risen just enough for us to start making cookies. — pfirefry
14 billion years ago we drew a small circle on that dough, and this circle has been expanding with the dough this entire time — pfirefry
Besides that, there is a second circle that initially was equal to the first circle, but its expansion was at the speed of light — pfirefry
We know that dough expands slower than the speed of light, so the second circle ended up being larger than the first one. — pfirefry
so the second circle ended up being larger than the first one. — pfirefry
I wondered about "universeness". Doesn't this mean "without a universe"? — Cornwell1
The imaginary surface where the redshift of receding galaxies seems infinite. All galaxies seem to accumulate on this surface — Cornwell1
Imagine this. You find yourself 80 billion ly away from here. You can see things from there that I can't see, like you can see a part of the world where you live that I can't see. When 80 billion ly apart we can still see each other but we both can see things the other can't. Which means there can't be two identical Hubble spheres. Because if so, everything around it should also be the same, contrary to assumption. — Cornwell1
Numbers can be stored in a binary representation about 3 times more efficiently than in a decimal representation (since 2^3 is approximately 10), so 999 (1111100111 in binary) would require 10 vacuum tubes. The miniaturization improvements are really to do with the hardware, e.g., billions of transistors on a chip compared to the space required for vacuum tubes — Andrew M
Morning universeness — Cornwell1
(without a universe? Appropriate for this thread!). — Cornwell1
There is a whole lot of 3d space beyond the horizon. — Cornwell1
I get this too, because the light from other objects would reach us over time, if there was no expansion and the universe was flat.If the universe didn't expand there would become more and more visible. — Cornwell1
There fit about 10exp11 observable universe diameters in the whole... It inflated all in existence around the singularity — Cornwell1
It inflated all in existence around the singularity — Cornwell1
which is part of a 4d substrate — Cornwell1
another 3d universe on the other side of the singularity wormhole — Cornwell1
So there are a lot of Hubble volumes (they are defined as the volumes within the surface that recedes with lightspeed). — Cornwell1
If you near such a surface (or anywhere else from its center) you see different things, so there can't be two equals. This holds for all spheres that you suppose equal, so there are no equal volumes of any size. — Cornwell1
Once one moves beyond 3D, higher dimensional "space" for me becomes an algebraic geometric concept rather than a reality. Very useful for predictions but that doesn't imply it truly exists. — jgill
As an ex-gymnast and climber, — jgill
When I start a thread, I do it for a reason. I have a position I want to test, a question I want to answer, or some thoughts I want to put into words. I work to set up the OP so people can understand what I'd like the thread to be about. I define my terms, describe the issue, provide my position, and then lay out the terms of discussion. I am always surprised by how much I learn from other people's responses — T Clark
I try hard to show the same consideration for others that I desire for myself. I admit that I haven't always lived up to that goal, but I try. When someone calls me out on it, I apologize and try harder to keep on track.
It's just common courtesy. — T Clark
I'm finding it hard to imagine how computers could operate on anything other than binary digits — Wayfarer
Exceptionally average.How's that? — T Clark
I think I see why you write about the 4d space. I don't think you need a 4th spatial dimension to leave the observable universe. — Cornwell1
It seems to me that near the edges of identical volumes there is information exchange with spheres outside — Cornwell1
