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Well actually it’s the other way around. The reason imaginary numbers were invented was to solve a problem we’d been crying over for centuries.

Then, as in most cases, solving one problem opens the door to millions of other problems like why in the fuck does the universe use these imaginary numbers we made up to solve cube roots?

Why is i a core part of the unit circle with like e^i*pi ? “Oh that’s because i is just perpendicular to the real number line” ?! Say that sentence again, how the fuck did we go from throwing sharp sticks to utterly deranged sentences like that? More importantly why do utterly deranged sentences like that accurately describe our universe and what is the next ludicrous math concept we’re going to discover is integral to the function of the universe?

“Scary door” from Futurama

It’s a play on the twilight zone and it’s quite something.

“A casino where I’m always winning? This must be heaven!” “A casino where I always win… I must actually be… IN HELL!”

“No Mr. smith. You’re not in heaven or hell. You’re on an airplane!”

“Help! There’s a gremlin destroying the plane! You’ve gotta believe me!”

“Why should I believe you?! You’re Hitler!”

For those interested: The Scary Door

ANSYS my beloved

I had a friend in highschool who competed in these games. Totally forgot it existed till now. Thanks for reminding me of it

One of the effects of me getting medicated is being able to make phone calls and schedule meetings. Do I still hate that everyone would rather I call and stumble over my words and forget what I’m going to say rather than let me write an email that allows me to clearly and concisely ask my questions? Yes, fuck them for doing that. Hell, it’s stupid and inefficient to try and find times your schedules are both open to have a meeting when you could just write a fucking email and reply to it when your schedule allows. But yeah, anyway, now I actually have enough executive function to make those phone calls and meetings when I have to.

Also here’s a reminder to take your meds because I definitely would have forgotten to take mine if I hadn’t seen this post and remembered.

Same. Recently went to Seattle and my family was weirded out that I was almost more enthralled by the massive amounts of concrete structures and huge metal industrial complexes and shipyards than the ocean. Metal and steel structures, even when rusted over just make me feel this surreal calm. There’s also something so beautiful about blackberry bushes growing over brutalist concrete structures, even if it’s just a highway overpass

General Relativity

In particular, the curvatureof spacetime is directly related to the energy and momentum of whatever matter and radiation are present.

As I understand it, gravity arises from the curvature of spacetime which is described by the Stress-Energy Tensor which only accounts for energy and momentum in a given part of spacetime.

So, really it’s like energy is actually what causes gravity in the first place, not mass. Massive things have large gravitational pull because mass itself has/is energy, E = mc². This energy and its motion curves space and gravity results from that curvature.

Then again, I’m an engineering student not a physicist, so maybe I’ve got something wrong.

Wait. I just realized energy also creates a gravitational pull, and the death star’s whole thing is destroying a planet right? That’s got to take a huuuge amount of energy because the explosion has to massively overcome the gravity holding the target together.

A quick google search says you’d need 10^32 Joules to blow up the earth. E=mc2 so dividing that energy by the speed of light squared gives about 1.1e15 kg of equivalent mass which is relatively small compared to earths mass (6e24) but still large.

For reference, if the radius of the Death Star was 1000m you’d get about 5.2m/s2 acceleration from just that energy in its core.

But if the Death Star is able to blow up multiple planets, then the energy it has to have on hand goes up. So if the Death Star contains enough energy to blow up 5.4 billion planets, then just that stored energy would have nearly equivalent “mass” to the earth.

But gravitational acceleration is inversely proportional to distance squared. So since the Death Star is small, you wouldn’t need that much energy to get earth gravity. If we assume the Death Star has about a 160km radius, then you’d only need enough stored energy to blow up ~45,000 earths to get a surface gravity of 9.1m/s2.

This gravity would increase as you got closer to the core or whatever part stores all that energy. But if you spread that energy out a bit you could probably extend how large the earth-like gravity range in the station would be.

The mass of the structure itself would contribute to the gravity too so that 45,000 is probably an overestimate.

TL;DR: From rough math in my head, assuming a radius of 160km, point mass, and ignoring the mass of the structure, you’d only need to store ~5e19 J of energy in the Death Star to get earth like gravity on the surface. That is approximately the amount of energy required to blow up 45,000 earths

You ever seen gattica? Similar concept

Magnetars. I want to throw an asteroid or something at one and watch it get ripped apart on a subatomic level purely by magnetism.

Lately I’ve started forcing myself to do nothing during those moments, like literally nothing. I set a timer for an hour and then turn off my phone and computer and lay down or just sit and kind of stare at a wall.

The boredom is horrible but the good news is that by the end of the hour, usually my mind has come up with a few things it would rather do than nothing.

Also, sometimes I can’t make it the full hour doing nothing but I only let myself do productive/healthy things like reading or doing dishes. It’s not really enjoyable but by the end of the hour it does feel slightly good that I was slightly productive.

Idk if it’ll work for you and idk if I’ll be able to keep doing it, but maybe it’s worth a shot. Tell me how it goes if you try it lol.

“Bender, be careful! Thats the ship’s diamond filament tether. It’s unbreakable!”

“Then why do I have to be careful?”

“It belonged to my grandmother.”

Same lol. Had three group assignments last semester, not fun.

Just because I’m an engineer doesn’t mean I’m autistic!

I mean, I am autistic.

But not because I’m an engineer!

Yes, but if the universe is quantum, then there also exists a minimum finite space step. So the fractions never get infinitely small. So you either stop moving in which case of course you never reach the destination; you stopped before you did. OR you take an extra step and surpass your distance by a negligible amount which means you did move all the way.

So even in a quantized universe, the paradox is still false right?

Was it that one episode of Hannibal where the guy grows mushrooms on diabetics he keeps in comas in the forest?

Not that anyone cares but I just realized that this is not actually paradoxical and I can prove it mathematically! (I think) Bear with me since I’ve like just barely learned this stuff this week.

Proof Let S be the set of all steps needed to be taken. It can be written as S = {(distance to be traveled)(2^-n): n in the Natural numbers}. Thus, S shares cardinality with the natural numbers and is countably infinite.

However, time is continuous. Thus, it has the cardinality of the continuum (real numbers) which means any time interval contains an uncountably infinite amount of moments. Let us denote an arbitrary time interval as T.

Because | T | > | S | there is no injection from T to S. Thus if each step has only 1 time value, there will be moments of time left over, and since the hand is not in two places at once we know each step must have its own time value, so this must be the case.

Therefore, when moving in steps like this, one will run out of infinite steps before they run out of moments in time to complete those steps. Hence, any finite distance can be traversed in this way over some bounded interval of time. QED.

Basically, you can traverse any distance in any time interval as long as physics allows you to move at a fast enough speed. Even if it doesn’t, there may be a limit to how fast you can traverse the distance, but it is still bounded. You can traverse any finite distance like this before existence runs out of time.

(I’m still learning. So if there’s an error in my proof please be gentle lol)