Abstract
Note, in a prior paper, we ascertained physics thought experiment configuration for a black hole, which may exist say at least up to 10-1 seconds. Our idea was to experimentally provide a test bed as to early universe gravitational theories. In doing so, we as follow up to that black hole paper come up with a criteria as to Quintic polynomial with regards to Δt which is the interval of time for which we can measure (down to Planck time) the production of Gravitational waves and gravitons, from an induced Kerr-Newman black hole. In doing so we access what is given in an AdS/CFT rendition of black hole entropy written by Pires which gives an input strategy as to how to relate Δt to a (Δt)5 + A1 ⋅ (Δt)2 + A2 =0 Quintic polynomial which has only a few combinations which may be exactly solvable. We find that A2 has a number, n of presumed produced gravitons, in the time interval Δt and that both A1 and A2 have an Ergosphere area, due to the induced Kerr-Newman black hole. Finally, we extract information via the use of the Uncertainty Principle, as to ΔEΔt ≥ ℏ with ΔE ∝ E0 ≡ mc2, so if we have a mass m, we will be able to extract Δt. This due to very complete arguments as to Kerr-Newman black holes, which when we have entropy, due to the Infinite quantum statistics argument given by Ng, leads to a counting algorithm, of n gravitons, which is proportional to entropy during which is then leading directly to fixing Δt directly via us of (Δt)5 + A1 ⋅ (Δt)2 + A2 =0, with the Quintic evaluated according to Blair K. Spearman and Kenneth S. Williams, in the Rocky mountain journal of mathematics, as of 1996. i.e. if this polynomial, as by our described Quintic polynomial, in Δt, (Δt)5 + A1 ⋅ (Δt)2 + A2 =0 is exactly solvable, then our Kerr Newman black hole is leading to quantum gravity. Otherwise, gravity in its foundations with respect to the Kerr Newman blackhole is classical to semi classical. In its characterization of gravity. Note that specifically, we state that this paper is modeling the creation of an actual Kerr Newman black hole via laser physics, or possibly by other means and that our determination of Δt as being solved, exactly by (Δt)5 + A1 ⋅ (Δt)2 + A2 =0 is our way of determining if the Kerr Newman black hole leads to quantum gravity.
Highlights
With regards to this problem, it is useful to make reference to [1], as its review of the fact that a general solution to Quintic 5th order polynomials does not exist
We as follow up to that black hole paper come up with a criteria as to Quintic polynomial with regards to ∆t which is the interval of time for which we can measure the production of Gravitational waves and gravitons, from an induced Kerr-Newman black hole
We extract information via the use of the Uncertainty Principle, as to ∆E∆t ≥ with ∆E ∝ E0 ≡ mc2, so if we have a mass m, we will be able to extract ∆t. This due to very complete arguments as to Kerr-Newman black holes, which when we have entropy, due to the Infinite quantum statistics argument given by Ng, leads to a counting algorithm, of n gravitons, which is proportional to entropy during ∆t which is leading directly to fixing ∆t directly via us of (∆t )5 + A1 ⋅(∆t )2 + A2 =0, with the Quintic evaluated according to Blair K
Summary
With regards to this problem, it is useful to make reference to [1], as its review of the fact that a general solution to Quintic 5th order polynomials does not exist. This due to very complete arguments as to Kerr-Newman black holes, which when we have entropy, due to the Infinite quantum statistics argument given by Ng, leads to a counting algorithm, of n gravitons, which is proportional to entropy during ∆t which is leading directly to fixing ∆t directly via us of (∆t )5 + A1 ⋅(∆t )2 + A2 =0 , with the Quintic evaluated according to Blair K.
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