Discovery of the Life-Organizing Principle by E. M. Elsheik

Author:E. M. Elsheik [Elsheik, E. M.]
Language: eng
Format: epub
ISBN: 9781491727188
Publisher: iUniverse
Published: 2014-03-24T00:00:00+00:00

CHAPTER 5

MAXIMUM ACTION PRINCIPLE

5.1—PATH OF MAXIMUM ACTION

To account for the spontaneous growth, development, and functional activity of living systems, the living system must maintain a path of maximum action. Under such circumstances, the genome capacity to generate developmental functional complexity (vitality) must be correlated to the rate of change of action to match the path. Thus we try to demonstrate that the phase of the genome’s bioinformation oscillations, which has action units, is the path of maximum action we are looking for. Therefore, let us start from equation (18):

(31)

From equation (8):

(32)

(33)

We propose equation (32) to be the biological path of maximum action, which is a time-dependent integral. The integral being time dependent simplifies finding the trajectory or equation of motion, v(t), without resorting to variational methods. Note:

= organism total action (34)

Result 5.1:

is an integral of maximum action.

Proof:

Given equation (32):

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