On Friday, October 29, 2021 at 11:31:52 AM UTC-5 Brent wrote:
>
>
> On 10/29/2021 4:15 AM, Lawrence Crowell wrote:
>
> On Thursday, October 28, 2021 at 9:08:55 PM UTC-5 [email protected]
> wrote:
>
>> Lawrence, any guesses as to what Dark Matter could be? Nobody can find
>> any evidence of WIMPS and now sterile neutrinos seems to have bit the
>> dust. Would you bet your money on Axions, or some modification of General
>> Relativity (teleparallel gravity perhaps) or none of the above?
>>
>> John K Clark
>>
>> ==========
>>
>>
>>
> I have no commitment to any particular theory. Dark matter might turn out
> to be some new physics involving mass-energy in an entirely different form
> from what we traditionally know as particles or fields. Dark energy is most
> likely some sort of vacuum energy, where the big unknown is how the vacuum
> energy is so small compared to what QFT predicts.
>
>
> I liked Vic's idea that the holographic principle suggests that the QFT
> prediction is just overcounting the degrees of freedom.
>
> Brent
>
I have worked out how in the collision of black holes there can be
gravitons in the Bondi news or gravitational radiation produced. These
gravitons are induced by quantum hair on the event horizon, and in the
moments (10^{-20} sec or so) this quantum hair generates quantum
information that can escape out to I^+ ( or I^∞). The main point of this
paper was to present a possible empirical test for quantum gravitation.
This quantum hair is defined by the correlation of states on either side of
the event horizon. This means on a deeper level QFT amplitudes are not
freely specified on spatial surfaces and that quantum fields are more
fundamentally topological rather than determined with gauge redundancies.
This is a nonlocality to quantum gravitation that liberates us from the
Wightman conditions on QFT amplitudes on spatial surfaces. Gravitation has
a type of nonlocality, where p_μ = T_{μν}e^ν is a momentum and we might
want to evaluate this with a Gauss-law ∮ p_μ dx^μ = ∫∫∇_ν p^μ dx^ν∧dx^μ.
The covariant derivative will act on the basis vector e_ν in the definition
of the 4-momentum and this will generate a connection term. This is a
nonlocalization of momentum-energy in general relativity. Momentum-energy
is generally specified only in a very local region that is nearly flat. In
the case of Petrov type D solutions for black holes energy can be specified
globally with an ADM mass. In general spacetimes though these conservation
laws occur only when there is a Killing vector that defines a Noether
theorem on symmetry and conserved quantity.
Quantum gravitation is then because of this nonlocalizability such that
local operators or amplitudes cannot be as freely specified. Across an
event horizon amplitudes on either side are complementary to each other,
and this fixes any gauge freedom between them. These fields and the
resulting Hilbert space cannot be partitioned across the horizon; this is a
topological condition on the occurrence of fields.
LC
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