Functional information

The concept of functional information is an attempt to rigorously define the information content of biological systems. The concept was originated by a group led by Jack W. Szostak in 2003. ^[1]

Definition

They define functional information as follows: ^{[2] [3]}

• the concept of degree of function is introduced, where the degree of function ${\displaystyle E_{x}}$ is a non-negative objective measure of the capability of system ${\displaystyle E}$ to do the physical function ${\displaystyle x}$.
• the fraction of possible configurations of the system that can achieve at least a particular level of function ${\displaystyle \theta }$ in regard to the physical function ${\displaystyle x}$ is defined to be ${\displaystyle F(E_{x}\geq \theta )}$
• the functional information relative to a given level of function ${\displaystyle E_{x}=\theta }$ is defined as ${\displaystyle I(E_{x}\geq \theta )=-log_{2}F(E_{x}\geq \theta )}$

This leads to two conclusions:

• because all possible configurations can achieve zero or more functionality, that is to say ${\displaystyle F(E_{x}\geq 0)=1}$, the minimum possible functional information for a system is ${\displaystyle -log_{2}1}$, which is zero.
• for the highest possible level of a degree of function of a system ${\displaystyle E_{x}=\theta _{max}}$, there will be a well defined ${\displaystyle I(E_{x}=\theta _{max})=-log_{2}F(E_{x}=\theta _{max})}$

Note that functional information of a system ${\displaystyle E}$ must always be defined relative to a specific function ${\displaystyle x}$, without a choice of which it has no meaning.

Proposed law of increasing functional information

In 2025, a group of researchers proposed a law of increasing functional information, that asserts that a tendency to increase in functional information is an inherent property of the universe, encompassing both biological and non-biological systems. ^{[4] [5] [6]}

References

1. Ball, Philip (2025-04-02). "Why Everything in the Universe Turns More Complex". Quanta Magazine. Retrieved 2025-04-14.
2. Hazen, Robert M.; Griffin, Patrick L.; Carothers, James M.; Szostak, Jack W. (2007-05-15). "Functional information and the emergence of biocomplexity". Proceedings of the National Academy of Sciences. 104 (suppl_1): 8574–8581. doi: 10.1073/pnas.0701744104 . PMC   1876432 . PMID   17494745.
3. Adami, Christoph; C G, Nitash (2022-05-23). "Emergence of functional information from multivariate correlations". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 380 (2227): 20210250. arXiv: 2109.07933 . doi:10.1098/rsta.2021.0250. PMID   35599555.
4. Wong, Michael L.; Cleland, Carol E.; Arend, Daniel; Bartlett, Stuart; Cleaves, H. James; Demarest, Heather; Prabhu, Anirudh; Lunine, Jonathan I.; Hazen, Robert M. (2023-10-24). "On the roles of function and selection in evolving systems". Proceedings of the National Academy of Sciences. 120 (43): e2310223120. Bibcode:2023PNAS..12010223W. doi: 10.1073/pnas.2310223120 . PMC   10614609 . PMID   37844243.
5. Pester, Patrick (2023-10-21). "Scientists propose 'missing' law for the evolution of everything in the universe". Space.com. Retrieved 2025-04-14.
6. Dunham, Will (October 16, 2023). "Scientists propose sweeping new law of nature, expanding on evolution". Reuters. Retrieved 2025-04-15.

See also

• Entropy and life
• Second law of thermodynamics
• Specified complexity, a creationist pseudoscientific concept