Jako Epke aka "Old Man said:
Rich Grise said:
I'm about to embark on a websearch that could ultimately tell me some
of the numbers about protons and black holes.
I wonder if anybody's done comparative numbers on the effective mass
vs. dimensions of the two. Like, are they conceptually equivalent,
or could, maybe, protons (and their sisters, neutrons) actually _BE_
teeny, tiny, infinitesimallyy smalll BLACK HOLES?????
[Jako]
The nucleon-nucleon force isn't that of gravitation.
[hanson]
But Jako, Grise is not asking about that. He, AFAICS does want
to know whether nucleons could be (described as) black holes.
However, despite the nebulous answers from the other posters,
speculations in these realms and domains can be done in so
very many ways & fashions, that one can conjecture & look at all
these processes and events with equal validity, as long as the dims
and the digits do fit. i.e. ..... I can produce a picture/conjecture that
delivers an estimate to the OP's question that Protons can be described
as quantum black holes in a fashion that's based on two self-evident
principles:
a) Nature is self-similar over all observable domains.
b) The unit systems (cgs etc) is internally self-consistent and all
fundamental physical constants must be expressible by/thru/with
combinations of other ones.
With that in mind, the proton(mass), m_p, can easily be expressed
in terms of being a black hole:
m_p, the proton mass, is a torus type construct that is a blackhole
of one (1) Plancklength radius across to its Schwarzschild event
horizon which is shrouded within an outer Coulomb type accretion
zone of EM charge energy (F, Faraday, not Farad) that interacts with
other charges which produce the measurable effects of the 13.5 eV
H-ionization potential and its associated Lyman series limit frequency.
Here is the QUANTITATIVE equation:
m_p = Schw.radius * Plank length * Coulomb/radiation parameters.
m_p = [c^2/2G]*[sqrt(hG/(2pi*c^3)]*[I_H/(f_L*F)]*(3*pi^2)*sqrt(2a)
m_p = 1.67E-24 gr (so, argue with the numbers not with me...ahaha)
In other words still, it says:
The Hydrogen nucleus (m_p) is a black hole with [***]
--- the classical Schwartzschild limit or event horizon of (c^2/2G) at
--- a radius of 1 Planck length sqrt(hG/2pi*c^3) and is shrouded in
--- a substance-characteristic Coulomb mantle, being the product of,
--- the H-Ionisation potential multiplier of 13.5
..... [I_H=4pi^4*sqrt(a)/sqrt(6)],
--- the Lyman series frequency limit (f_L), and
--- the Faraday Constant (F, the charge transfer handler),
..... and is further governed by
--- toroidal geometry demands of (3*pi^2) and
--- EM/QM fine structure conditions set by [sqrt(2*a)].
[***] Consider the distance between this event horizon and the larger,
classically measured H-radius as the "nuclear accretion zone" analog.
In case of leptons, here the electron m_e, the e-shell Ionization-potential
considerations do fall away and the situation changes to:
m_e = [c^2/G] * [sqrt(hG/(2pi*c^3)] * [1/(f_L*F)] * a*pi*sqrt(3)/3
m_e = 9.09E-28 gr
It says essentially the same as above, except that as already noted ,
there are no ionization considerations and that the electron's geometry
is spherical (instead of toroidal as in the composite H-atom)
Also, it indicates that the electron may be a rotating Kerr black hole
type character with the Kerr- [c^2/G] (instead of the Schwartzschild
[c^2/2G]) event horizon.Now figure out and post the equations for m_n, the neutron and
other particles and cough up a numerical table for mass spectrum
(with having set the electron mass m_e as "One", 1, for comparison)
[Jako to Rich Grise]
The nucleon-nucleon force isn't that of gravitation.
The N-N force has repulsive, as well as attractive,
components. The size of the repulsive core is many
orders of magnitude larger than the Schwarzschild
radius for a black hole of the same mass. At typical
N-N distances in nuclei, the attractive component is
much stronger than that of gravitation.
The deuteron couldn't be held together by gravitation.
Hawking hypothesizes that a black hole with mass
less than ~ 10^(-8) kg (Planck mass, M_pl) would decay
very rapidly (Planck time, T_pl). Nucleon mass is many
orders of magnitude less than this.
[hanson]
In a way, right, deuterons and other combo particle are not held
glued together by gravitation alone, but if the Planck mass M_pl is
a black hole then is not ordinary matter any longer and it, like all
other black hole matter, large or small, is shut off from the visible
universe by definition and I would change your statement from
"decaying rapidly" into a corollary to the "virtual QM game" & say:
".... a black hole with mass less than ~ 10^(-8) kg (Planck mass,
M_pl) may pop in and out of a (Dirac's) virtual particle sea in very
rapid intervals with flash durations lasting only 1 Planck time, T_pl.
.... to which I might add now that, based on my above quantitative
conjecture, a process (unknown?) is working here that grabs and
enshrines these emergent Planck masses with EM-quanta, which
gives them long, very long life times and makes them interactive
with and visible to other like siblings.... and now go forth and invent
a new cosmology! ... AHAHAHAHA.... I love these mind games!.....
ahahaha... hanson