Can the dynamics in concentrations, structures, interactions and location of all the entities in the produce cellular states defined as state of "energy" with extra-dimensions?
No. This dynamics is completely explained by electromagnetic interactions at the atomic and molecular level, in three space and one time dimension.
How about the product of these "electromagnetic interactions at the atomic and molecular level, in three space and one time dimension"?
That is really what I am wondering about.
What product? The equations, that describe the evolution in space and time of concentrations of chemical substances, e.g. the Nernst-Planck equation, are, of course, deduced from Maxwell's equations, along with the constitutive relations for the transport coefficients. There is a non-trivial averaging that has occurred to obtain the density and current involved. But the interaction of the densities with the electric field, for instance, is fixed by the properties of the electromagnetic interaction of matter and field.
The extra dimensions of String Theory are curled up at the Planck scale, which is around 10-30 the size of an atom. So they cannot affect objects at the cellular scale, which is bigger then an atom by a large factor.
They need not be, but, indeed, what matters is that the scale, where they're relevant, is that where gravitational effects become comparable to quantum effects, which is much smaller than the scale of the cell, where electromagnetic effects dominate.
Dear Patrick
I agree with Stam Nichols and Stephen Warren on the physics of Cellular systems.
I am not a string theorist but I try to keep track of some results which are attractive.In this context I point out one recent development on the macroscopic property of highly dense fluid motion which are normally treated by classical hydrodynamics. It has been shown from string theory that string theory at String Scale \sim 10^{17} GeV is capable of predicting a well known classical result for fluid motion:
(\eta)/s \ge 1/(4.\pi)
where \eta = volume density of shear viscosity and s = volume density of entropy. Even a Google search on "String Theory and Viscosity" gives references to related papers.
All the best
I really appreciate all the points raised here. Initially I was thinking of a biochemical structure/pattern in the cell or an intricate distribution pattern of a special molecule within the cell that adopts extra dimensions (i.e. beyond 3D or 4D distribution). And not exactly the extra-dimensions put forward by "String Theory". So the state or range of states of the special molecule/s trigger/s once achieved causes instant changes in cellular behavior. Rather than the typically model of biochemistry of the cell which describes behaviour of the cell as the combined output of many processes all occurring at the same time.
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