However, the above excert is from Livy's History of Rome, written around 25BC. So when you say it's trite, that's a bit of an understatement. 2000+ years we've been listening to this shit.
The first similar example that I know of is from Plato's Republic, Book VIII, 360 B.C.:
"And these are not the only evils, I said --there are several lesser ones: In such a state of society the master fears and flatters his scholars, and the scholars despise their masters and tutors; young and old are all alike; and the young man is on a level with the old, and is ready to compete with him in word or deed; and old men condescend to the young and are full of pleasantry and gaiety; they are loth to be thought morose and authoritative, and therefore they adopt the manners of the young."
Just have in mind that Plato was writing not simply about the kids "these days", he was writing about kids in democracy, which he considered to be the second worst type of state.
And while it is not Free, you can still use it for free if you accept an additional click when starting it.
From the "Licence/Copyright" section in the help file:
Use of this software after the trial period of one month is in violation of international Copyright law! It is also unfair to the author, who has spent hundreds of hours developing this program.
Time dilation is an effect totally independent of dynamic properties like mass. It works even for idealized massless points. It is a consequence of Lorentz transformations. You can deduce that the mass increases with speed only after having already established time dilation and length contraction. These two are the basic relativistic phenomena. If you knew that the mass increases with speed and nothing else, you could deduce almost nothong out of that info. How would you explain relativistic Doppler effect? The time dilation explains it. Mass is not a variable even in the classical Doppler effect.
There's no need for the mass influence hypothesis. Whn you are moving at 0.99c, from a stationary reference frame your heart is beating about seven times slower. It's not beating slower because of the increase in your mass, but beacuse the slowing of the time in your frame, viewed from the stationary frame. Radioactive decay, heart beats, they are nothing but clocks. _Your_ heart beat has fixed number of beats in _your_ frame of reference. Your mass does not increase either. If the mass increase that the stationary observer would measure influenced your bodily processes (or decay times), ther would be a effect that wouldn't add up numericaly. The decay times would be even longer.
Sorry for the misinfo.
Pions are in fact not accelerated but crated by
bombarding the target with accelerated particles.
I was just... um... testing you...:)
Your example is analogous to the pi-meson experiment.
The half-life of the pion is 1.77e-08 s (when it's not moving). You can accelerate the pions in a beam at 0.99c. So, the distance that the pions could travel after which their number is halved should be v*t = 5.3 meters. But their number is halfed at about 38 meters after exiting the accelerator. Here's what happens. Due the time dilation effect, the pion's clock, viewed from the laboratory's frame of reference, slows down. To cover 39 meters, pion needs about 1.3e-07 s of laboratory time. But, according to the formula t'=t*sqrt(1-u**2/c**2), only 1.77e-08 s of pion's time will pass. Viewed from the pion's side, the distance of 38 meters shortens to 5.3 meters which can be covered in 1.77e-08 s while moving at 0.99c.
So if you are in a spaceship traveling at 0.99c, the distance of 7 LY shortens to about 0.99 LY (if my math is right). And you can cover it in about 1Y (of your own time). Viewed from earth, you need about 7Y but the clocks in your spaceship seem slowed down.
Slashdot Mirror
However, the above excert is from Livy's History of Rome, written around 25BC. So when you say it's trite, that's a bit of an understatement. 2000+ years we've been listening to this shit.
The first similar example that I know of is from Plato's Republic, Book VIII, 360 B.C.:
"And these are not the only evils, I said --there are several lesser ones: In such a state of society the master fears and flatters his scholars, and the scholars despise their masters and tutors; young and old are all alike; and the young man is on a level with the old, and is ready to compete with him in word or deed; and old men condescend to the young and are full of pleasantry and gaiety; they are loth to be thought morose and authoritative, and therefore they adopt the manners of the young."
Just have in mind that Plato was writing not simply about the kids "these days", he was writing about kids in democracy, which he considered to be the second worst type of state.
And while it is not Free, you can still use it for free if you accept an additional click when starting it.
From the "Licence/Copyright" section in the help file:
Use of this software after the trial period of one month is in violation of international Copyright law! It is also unfair to the author, who has spent hundreds of hours developing this program.
Lord of the Rings IV
Time dilation is an effect totally independent of dynamic properties like mass. It works even for idealized massless points. It is a consequence of Lorentz transformations. You can deduce that the mass increases with speed only after having already established time dilation and length contraction. These two are the basic relativistic phenomena.
If you knew that the mass increases with speed and nothing else, you could deduce almost nothong out of that info. How would you explain relativistic Doppler effect? The time dilation explains it. Mass is not a variable even in the classical Doppler effect.
There's no need for the mass influence hypothesis.
Whn you are moving at 0.99c, from a stationary reference frame your heart is beating about seven times slower. It's not beating slower because of the increase in your mass, but beacuse the slowing of the time in your frame, viewed from the stationary frame. Radioactive decay, heart beats, they are nothing but clocks. _Your_ heart beat has fixed number of beats in _your_ frame of reference. Your mass does not increase either. If the mass increase that the stationary observer would measure influenced your bodily processes (or decay times), ther would be a effect that wouldn't add up numericaly. The decay times would be even longer.
Sorry for the misinfo. Pions are in fact not accelerated but crated by bombarding the target with accelerated particles. I was just... um... testing you... :)
Your example is analogous to the pi-meson experiment.
The half-life of the pion is 1.77e-08 s (when it's not moving). You can accelerate the pions in a beam at 0.99c. So, the distance that the pions could travel after which their number is halved should be v*t = 5.3 meters. But their number is halfed at about 38 meters after exiting the accelerator. Here's what happens. Due the time dilation effect, the pion's clock, viewed from the laboratory's frame of reference, slows down. To cover 39 meters, pion needs about 1.3e-07 s of laboratory time. But, according to the formula t'=t*sqrt(1-u**2/c**2), only 1.77e-08 s of pion's time will pass. Viewed from the pion's side, the distance of 38 meters shortens to 5.3 meters which can be covered in 1.77e-08 s while moving at 0.99c.
So if you are in a spaceship traveling at 0.99c, the distance of 7 LY shortens to about 0.99 LY (if my math is right). And you can cover it in about 1Y (of your own time). Viewed from earth, you need about 7Y but the clocks in your spaceship seem slowed down.