Someguy Somewhere
The Critical Fumbler
- Joined
- Jan 26, 2019
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Time for some back of the napkin math.
Reality
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Assuming something like real world Neutronium, aka 'material that's density throughout is equal to that of the nucleus of an atom' , aka 'the material making up a Neutron Star' , there is a theoretical lower limit to how much mass it would require to Stay in that state. Mass lower then this value would lead to the substance expanding outwards since the gravity of the mass is no longer enough to keep it in this compressed state, which would be a large explosion leading to a lot of hydrogen atoms being released.
It's a complex and ongoing study to find this value, known as the 'Chandrasekhar limit' on the low end and the 'Tolman–Oppenheimer–Volkoff limit' on the high end. Current math seems to indicate a value around 1.4 stellar masses minimum and 2.2 max.
The sun comes in at a little under 2.0×1030 kg, which puts our minimum mass for something to consist of Neutronium and stay that way between 2.8×1030 kg and 4.4×1030 kg.
While weighing more then our sun, due to the compression effects of the mass and the nova that creates them, neutron stars are far FAR smaller in radius. A quick search lists off some of the smaller known pulsars (spinning neutron stars that emit fancy radiation) at between 2.6 and 16 km in radius. Most come out to around 10 km radius, for a volume of 4200 km2.
To put that in perspective, that's a volume somewhere between Lake Huron and Lake Michigan. Visible from Space scales.
So you have an object that weighs from 'a bit more' to 'more then double' our Sun, that's around the size of a Very Large Lake, just to be the substance in question.
So, we've got a mass and now we want to figure out the acceleration that mass inflicts on an object, since that's the 'vibration'. Lucky for us gravity is pretty simple, in that it follows the inverse square law, like other field effects, and the gravitational constant goes linearly with mass. Note that all we care about really is the mass, the density or size of the object doesn't matter unless you're trying to poke it.
Acceleration due to stellar bodies can be derived from their mass and distance, but I'm just going to be lazy and go off existing known values.
Acceleration due to mass of earth is 9.8 m/s2 or 32 ft/s 2
So that's 1 G
Acceleration due to mass of The Sun is 275 m/s2 or 896 ft/s 2
So That's 28 G.
So, ballparking the acceleration of our minimum sized chunk of Neutronium as having 1.1 to 2.1 stellar masses, thus having similar acceleration factors, somewhere between 30.8 and 58.8 G's.
Having that 'suddenly' turn up is going to be far more violent the a mere 'vibration'.
It'd be on par with a Car Crash, for the first moment, then you'd be crushed to death in a few minutes if the impact didn't get you.
Fiction
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Assuming Comic Book Neutronium, in that it has the same density as the real thing but can exist below the min value for it to be sustained realistically, you'd have to still figure out the mass of the block in question, and the range to the subject to derive a gravitational constant you could use, but in general, you'd be dealing with big numbers, with things assuming something like neutronium with a density of 4×1017 kg/m3, 1 meter cubed would be more then Mount Everest (at 6.0 × 1015 kg), with Pluto itself weighing in at only 1.31 x 1022 kg. You'd be dealing with small decimal points of G's for car to building sized chunks of the stuff.
Reality
--------------------------------------------------------------------
Assuming something like real world Neutronium, aka 'material that's density throughout is equal to that of the nucleus of an atom' , aka 'the material making up a Neutron Star' , there is a theoretical lower limit to how much mass it would require to Stay in that state. Mass lower then this value would lead to the substance expanding outwards since the gravity of the mass is no longer enough to keep it in this compressed state, which would be a large explosion leading to a lot of hydrogen atoms being released.
It's a complex and ongoing study to find this value, known as the 'Chandrasekhar limit' on the low end and the 'Tolman–Oppenheimer–Volkoff limit' on the high end. Current math seems to indicate a value around 1.4 stellar masses minimum and 2.2 max.
The sun comes in at a little under 2.0×1030 kg, which puts our minimum mass for something to consist of Neutronium and stay that way between 2.8×1030 kg and 4.4×1030 kg.
While weighing more then our sun, due to the compression effects of the mass and the nova that creates them, neutron stars are far FAR smaller in radius. A quick search lists off some of the smaller known pulsars (spinning neutron stars that emit fancy radiation) at between 2.6 and 16 km in radius. Most come out to around 10 km radius, for a volume of 4200 km2.
To put that in perspective, that's a volume somewhere between Lake Huron and Lake Michigan. Visible from Space scales.
So you have an object that weighs from 'a bit more' to 'more then double' our Sun, that's around the size of a Very Large Lake, just to be the substance in question.
So, we've got a mass and now we want to figure out the acceleration that mass inflicts on an object, since that's the 'vibration'. Lucky for us gravity is pretty simple, in that it follows the inverse square law, like other field effects, and the gravitational constant goes linearly with mass. Note that all we care about really is the mass, the density or size of the object doesn't matter unless you're trying to poke it.
Acceleration due to stellar bodies can be derived from their mass and distance, but I'm just going to be lazy and go off existing known values.
Acceleration due to mass of earth is 9.8 m/s2 or 32 ft/s 2
So that's 1 G
Acceleration due to mass of The Sun is 275 m/s2 or 896 ft/s 2
So That's 28 G.
So, ballparking the acceleration of our minimum sized chunk of Neutronium as having 1.1 to 2.1 stellar masses, thus having similar acceleration factors, somewhere between 30.8 and 58.8 G's.
Having that 'suddenly' turn up is going to be far more violent the a mere 'vibration'.
It'd be on par with a Car Crash, for the first moment, then you'd be crushed to death in a few minutes if the impact didn't get you.
Fiction
--------------------------------------------------------------------
Assuming Comic Book Neutronium, in that it has the same density as the real thing but can exist below the min value for it to be sustained realistically, you'd have to still figure out the mass of the block in question, and the range to the subject to derive a gravitational constant you could use, but in general, you'd be dealing with big numbers, with things assuming something like neutronium with a density of 4×1017 kg/m3, 1 meter cubed would be more then Mount Everest (at 6.0 × 1015 kg), with Pluto itself weighing in at only 1.31 x 1022 kg. You'd be dealing with small decimal points of G's for car to building sized chunks of the stuff.
