Battery Energy-Stokes’ Relationships Between The Gap of Two Zeta Zeros in the BHTM
(Carson) Kai Shun Lam
(Carson) Kai Shun Lam
1) Bachelor of Science (Hons) & M.Sc. (Hons) in Communication Engineering & M.Sc. (Merits) in Information Technology
Education &M.Phil. (Distinction) in Christian Education, Hong Kong.
2) Fellow of Scholar Academic Scientific Society & Dignitary (or Honorary) Fellow, International Organization for Academic &
Scientific Development, India.
According to my previous paper [3] about the charge ratio of this writer’s proposed Gabriel Trumpet
black hole Toy model, one may consider the black hole as a charged battery with the computed boundary
charge ratio -- i/j for a special designed (with those Riemann Zeta Zeros height) Taylor series like
inverted cone approximation to the Trumpet toy model. In the present paper, this writer will continue
the computation procedure to calculate the charge density together with the stored energy etc at the
boundary. In addition, this writer also discovers a conversion relationships (by matrix operations)
linking the parametrized matrix to a given surface ω (curl and divergence) with the metric tensor (1st,
2nd, 3rd, 4th fundamental forms) for the investigated object’s surface with the enclosed curve c. Besides,
this writer also uses the software Maple Soft programming scripts as well as the traditional human type
calculation to verify or justify the equivalence between the Stokes’ Theorem and the Green’s Theorem
and also the Divergence Theorem etc.
Actually, the Green’s theorem and the Divergence Theorem [1] are most likely to be used for the
2-Dimensional surface areas and 3-Dimensional volumes while the Stokes’ Theorem is applied in the
higher dimensional cases. In fact, we may still have high dimensional curl and divergence with respect
to their definitions. At the same time, the Green and the Divergence Theorems can be well interpreted or
connected to the famous Maxwell’s equations in physics or electrodynamics.
Last but not least, there are some philosophical implications such as the cognitive feelings or insights
behind the Stokes’ Theorem rather than those line integral, surface area and volume relationships for
our physics.
