This
post is a little more physics-oriented than previous ones, but I'll try to
explain all the major concepts from scratch. The idea, if it works, can revolutionize
how we think about what is mass and can have rather crazy applications, such as
a cheap transporter of things to outer space. Basically, it suggests how to
drastically reduce the inertial mass of objects!
Let's
start with basic quantum physics and vacuum fluctuations. As you may well know,
quantum physics asserts that all things come in discrete units
("quanta"), even energy. Hence, electromagnetic radiation comes in
photons. This "second quantization" (the first one being quantization
of matter, so to speak) means that energy is measured in discrete units, such
that one can "count the number of photons" and know the energy. More
specifically, each frequency of energy, also known as a mode, can
"contain" a discrete number of photons, also known as
"excitations". So EM-radiation of frequency f with n
photons, or n photons each with frequency f have … hf(n+1/2)
energy, where h is Planck's constant that converts frequency to energy
units. The whole idea in this post is the 1/2 that appears out of nowhere.
There
is a deep mathematical background for the origin of the 1/2, but I like the
uncertainty principle's view on it. The uncertainty principle asserts that one
cannot determine any quantity to complete certainty, without affecting another
"conjugate" quantity. In the case of energy, the
"conjugate" quantity is time, hence it will take forever to measure
zero energy for certain. Thus, because energy is always positive, and we can't measure
zero energy, it means there is some energy out there. That "some
energy" is the 1/2 and it has a profound meaning. Even complete vacuum has
energy in it. It is sometimes called "zero-point energy", or
"vacuum fluctuations". Fluctuations, because "virtual"
photons are created and annihilated all the time, such that the average energy
is hf/2, but it constantly fluctuates.
How
much energy does the vacuum contain? This depends, weirdly, by the
"thing" that bound the vacuum, such as a box or surface. How so? The energy or modes of the EM-fields are wavelike entities and have a wavelength ~ 1/f, i.e. the higher the frequency the shorter the wavelength. The un-bounded vacuum contains all frequencies, from the very low to the highest one. On the other hand, consider vacuum bound
by two metallic surfaces | -- |. What happens if the distance between the
surfaces is shorter than the wavelength? It means that that mode of the
EM-field, or more specifically, photons with frequency lower than that distance
cannot be inside; there's no place for them. Hence, since they cannot be
inside, there are also no vacuum fluctuations of that frequency between the
surfaces.
Summarizing
this weird (and scientifically proven point!) between two metallic surfaces,
there is actually less vacuum than outside since some vacuum
fluctuations cannot exist between the surfaces, but can exist outside
them. Even weirder, is that these fluctuating virtual photons exert pressure
on the surfaces. Since there is less vacuum inside, the pressure is smaller
than outside and the two surfaces are attracted. The vacuum exerts attracting
Casimir forces on the two surfaces.
This
Casimir force, due to exclusion of vacuum modes has been measured and actually
plays an important role in designing and fabrication of nano particles, where
the forces are not negligible.
How
is all of this related to reducing the mass of objects? The weirdness continues…
Apparently,
inertial mass, the m from F=ma, is derived from friction with
the vacuum. Meaning, that when you exert a force on an object with mass m,
it acquires less acceleration if it has more friction with the vacuum, i.e. its
inertial mass is higher. Conversely, if we could reduce the friction with the
vacuum, the same object could acquire larger acceleration with the same amount
of force.
But,
wait a minute. We just learned how to reduce vacuum itself and hence,
obviously, friction with it. So the point is that if we exert a force on an object
which moves between two metallic surfaces, because there is less vacuum
there, there is less friction and given the same force, it will
accelerate more. WHAT? Yep, by changing the vacuum in which an object moves, one
can reduce its inertial mass.
By
how much? There's the crux. If you recall, the modes that are
"expelled" from the vacuum between the two surfaces are those with longer
wavelengths, i.e. lower frequencies. And since the energy of these modes
are proportional to the frequency, the modes expelled are those with lower
energy. These modes exerts the least amount of friction and thus expelling
them will have almost no effect on the inertial mass.
What
can be done? This is my idea. The two surfaces I described are parallel flat
surfaces. Physical solutions to the Casimir force have usually been calculated
for such surfaces, or round ones to account for nano-spheres. However, I
propose using fractal Casimir surfaces.
Fractals?
Can it be even more complicated? Cool things lie in the combination of weirdness
and even more weirdness!
Fractals,
if you haven't read my previous The Fractal Gene post, are patterns that
repeat themselves in every scale, such as branches in a tree, or shore lines.
If you zoom in, you get the same pattern, no matter how much you zoom.
I
propose that if you create a fractal Casimir surface, you can exclude higher
frequency modes, since at every scale there is a shape to the surface that
excludes some mode. Thus, if an object moves between these fractal Casimir
surfaces, it will have drastically less inertial mass.
What
is it good for, accept being so weird that it has to be true? Consider that we
can reduce the inertial mass of objects we wish to send to the Space Station.
If we build a tunnel with fractal Casimir surfaces, we need to exert much
less force in order to send them to space. The possibilities are endless,
as they usually are in discovering new forms of physics.