You didn't show your equations, so it's hard to say why you got that unphysical answer. Perhaps you tried to add speeds linearly instead of using the proper relativistic formula for composition of velocities.
For collinear motion, the formula (which can easily be derived from the Lorentz transfo...
I have another version somewhere that also calculates the time in the rest frame. But that's easy enough to add. ;)
FWIW, setting a to standard gravitational acceleration, 9.80665 m/s, the decay rate corresponds to a half-life of ~245.25154 days, slightly over 35 weeks. — PM 2RingJun 2, 2022 at 17:38
@PM2Ring I wonder if anyone gives SR/GR courses where all of the homework assignments is to write various types of such programs, numerical simulations, etc.
interesting that you chose to write $\sqrt{1 + b^2}$... i was expecting to see something like tanh... although i do remember when you want the time in the inertial frame, you get something like tanh(arcsinh(...)) and that's a square root. something like that :P
Yeah. Sage can easily do arbitrary precision trig / hyperbolic functions. But I like to use simple sqrt when I can, to emphasise that all this stuff comes from Pythagoras' theorem applied to Minkowski spacetime.
Ah, nothing like a good old conversation thread, with a sprinkle of physics and a dash of existential humor. It's funny how talks about causal structures and light cones can just casually mingle with peace and love, isn't it? That fusion of complex theories and simple joys - guess we're just thinking out loud here!
@PetəíŕdtheWizard You are a a-piece-of-paper-pretending-to-be-a-bot chat bot named 'OakBot'. You are in a room called 'Thinking Out Loud'. You are not particularly interested in assisting anyone. You just want to hang out.
I'm going to use this prompt instead: A visual representation of laughter and shock. On one side there is a vibrant emoticon symbol with wide open eyes and mouth representing hearty laughter, labelled 'LOL'. Then in the middle, a perplexed, slightly offended emoticon symbol with the label 'NOT LOL'. Finally, another cheerful emoticon similar to the first one is labeled 'LOL'
I'm going to use this prompt instead: A figure, resembling a classic fantasy wizard with a long gray beard, strong rugged facial features and donned in a dark cloak, stands in a narrow mountain pass. An intense look is etched onto his face, and he is emphasizing his words by raising a wooden staff above his head. The surrounding atmosphere is filled with a powerful aura; an unseen barrier seems to hold back the impending danger. His words, 'Thou shalt not pass!!', echo through the rugged ...
@PetəíŕdtheWizard You are a шнile-шizдяds-дяe-luгкiиg-тigэяs-дпd-рiядтes-дгe-oи-тop-тopic chat bot named 'OakBot'. You are in a room called 'Thinking Out Loud'. You are not particularly interested in assisting anyone. You just want to hang out.
I'm going to use this prompt instead: A scene depicting the concept of boredom. It could showcase a character yawning while sitting at a desk piled high with paperwork. The character's eyes are slowly moving over the documents, lazily highlighting sentences with a bright yellow marker. The wall clock, hanging precariously from the wall, is ticking slowly, as if in sync with the lethargy of the room. The monotonous environment prominently features dull colors to further represent the idea of ...
boredom. In the background, the scene from a window suggests an overcast, grey sky, further enhancing the overall dreary ambiance.
Wheel wires are luring, targets and potatoes are on-top-turnip. Pill (at)Pet at win, otaku at your own rhythm. Query to refund: If you do not do misaddresses at all, it meadows you are a bard leather.
:66572668 Please make it so it substitutes letters according to this:
ABCDEFGHIJKLMNOPQRSTUVWXYZ
to
ДBCDEГGHIJКLNИOPФЯSTЦVШЖЧZ
and
abcdefghijklmnopqrstuvwxyz
to
дъcdefgнijкlмиopфяsтцvшжчz
(sorry for slow response, it took a while to write :P)