Math is Everywhere!

There is geometry in the humming of the strings, there is music in the spacing of the spheres.
— Pythagoras (570-495 BC)
Don't Fret the Small Stuff - Harmony is Within Your Grasp - Another planksip® Möbius

Don't Fret the Small Stuff - Harmony is Within Your Grasp

Math is Everywhere!

There is geometry in the humming of the strings, there is music in the spacing of the spheres.
— Pythagoras (570-495 BC)

The titled responsion is ...

Considering the ubiquitous existence of mathematics, illusionary as free will, it's pleasing to our Being. We have adapted to the frequency of the number, abstract as it may seem.

The Profound in Two-Part Harmony

The opposite of a correct statement is a false statement. But the opposite of a profound truth may well be another profound truth."
— Niels Bohr (1885-1962)

The titled responsion is harmonically personified. I realize that the use of "harmonically" is a little awkward in the above responsion,  yet the point that I am trying to make is, and Neil agrees, that this is a thing of beauty — two profound truths, not my use of the word of "harmonically".

Is the nature of philosophical inquiry dialectical? If so, philosophy requires a partner, or a group. The emergent phenomenon that emerges from group interaction is telling. Revealed if you were, partially in the facial expressions (excessively so with the Neandrathals) of individuals, this non-verbal emotive transfer of information typically ends in stories. At least stories are the form of communication that has culturally repicated or myelinated at scale.

It is the purpose of planksip, as a philosophy and cultural media outlet, to facilitate the development of these conversations. Philosophically, our emphasis is obviously on the Western Tradition. This doesn't mean that we are not open to perspectives (Neitzche) from other traditions, however, all traditions are "infected" by the Hellenizing origins of the West. I chose "infected" partially to give credit to the meme-like replication that takes place when information spreads like a virus. The difference is obvious, the is no bacterial or cellular spread, only the rearrangement of cells in a way that is hard to predict. Or is it?

Another reason for choosing "infected" in this case was because I was given the choice (as I was creating this article) to use affected or effected and with the rise of emotive-based substrates underpinning rationality, in whole or in part, the ability to switch between affect and effect is more right now than it used to be. Is this profound? Is there harmony in this paragraph? Actually it's been very awkward to articulate but I want to leave it as it is in order to let the reader know that the nature of putting your thoughts onto the planksip platform is that it is okay to put your thoughts down as I am doing right now — in a raw form.

On and on I go, where I will stop, not even I know. Don't fret, Jack Kerouac will help us with that next. Stay tuned.  

Förster resonance energy transfer is another (FRET)

My fault, my failure, is not in the passions I have, but in my lack of control of them.
— Jack Kerouac (1922-1969)

The titled responsion refers to the dictionary definition of FRET.

Förster resonance energy transfer (FRET), fluorescence resonance energy transfer (FRET), resonance energy transfer (RET) or electronic energy transfer (EET) is a mechanism describing energy transfer between two light-sensitive molecules (chromophores).[1] A donor chromophore, initially in its electronic excited state, may transfer energy to an acceptor chromophore through nonradiative dipole–dipole coupling.[2] The efficiency of this energy transfer is inversely proportional to the sixth power of the distance between donor and acceptor, making FRET extremely sensitive to small changes in distance.[3]

Measurements of FRET efficiency can be used to determine if two fluorophores are within a certain distance of each other.[4] Such measurements are used as a research tool in fields including biology and chemistry.

FRET is analogous to near-field communication, in that the radius of interaction is much smaller than the wavelength of light emitted. In the near-field region, the excited chromophore emits a virtual photon that is instantly absorbed by a receiving chromophore. These virtual photons are undetectable, since their existence violates the conservation of energy and momentum, and hence FRET is known as a radiationless mechanism. Quantum electrodynamical calculations have been used to determine that radiationless (FRET) and radiative energy transfer are the short- and long-range asymptotes of a single unified mechanism.[5]-[6]


  1. Cheng, Ping-Chin (2006). "The Contrast Formation in Optical Microscopy". In Pawley, James B. Handbook Of Biological Confocal Microscopy (3rd ed.). New York, NY: Springer. pp. 162–206. doi:10.1007/978-0-387-45524-2_8. ISBN 978-0-387-25921-5. ↩︎

  2. Helms, Volkhard (2008). "Fluorescence Resonance Energy Transfer". Principles of Computational Cell Biology. Weinheim: Wiley-VCH. p. 202. ISBN 978-3-527-31555-0. ↩︎

  3. Harris, Daniel C. (2010). "Applications of Spectrophotometry". Quantitative Chemical Analysis (8th ed.). New York: W. H. Freeman and Co. pp. 419–44. ISBN 978-1-4292-1815-3. ↩︎

  4. Zheng, Jie (2006). "Spectroscopy-Based Quantitative Fluorescence Resonance Energy Transfer Analysis". In Stockand, James D.; Shapiro, Mark S. Ion Channels: Methods and Protocols. Methods in Molecular Biology, Volume 337. Totowa, NJ: Humana Press. pp. 65–77. doi:10.1385/1-59745-095-2:65. ISBN 978-1-59745-095-9. ↩︎

  5. Andrews, David L. (1989). "A unified theory of radiative and radiationless molecular energy transfer". Chemical Physics. 135 (2): 195–201. Bibcode:1989CP....135..195A. doi:10.1016/0301-0104(89)87019-3 ↩︎

  6. Andrews, David L; Bradshaw, David S (2004). "Virtual photons, dipole fields and energy transfer: A quantum electrodynamical approach". European Journal of Physics. 25 (6): 845–858. doi:10.1088/0143-0807/25/6/017 ↩︎


Don't Fret the Small Stuff - Harmony is Within Your Grasp - Another planksip Möbius

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