Asterias, Jean-Baptiste Lamarck (1744-1829), Tableau Encyclopédique et Méthodique des Trois Règnes de la Nature, Paris 1791-1798. Photograph by D Dunlop. |

To extend an earlier discussion about counting quarks, consider a particle P characterized by a repetitive chain of events

$\Psi ^{\sf{P}} = \left( \sf{\Omega}_{1}, \sf{\Omega}_{2}, \sf{\Omega}_{3} \; \ldots \; \right)$

where orbital cycles are composed of $N$ quarks

$\sf{\Omega} = \left\{ \sf{q}_{1}, \sf{q}_{2} \; \ldots \; \sf{q}_{\it{N}} \right\}$

Depending on the level of objectification each bundle $\sf{\Omega}$ may be thought of as; a set of sensations, or an orbital cycle, or an aggregation of seeds, or perhaps a compound quark. But for any interpretation we can make a *mathematical* description of P just by counting bundles.

$N_{\sf{\Omega}}^{ \mathbf{\Theta}} =$ 86,400 (seconds per day)

This number comes to us from the Sumerian and Babylonian peoples of ancient Mesopotamia.^{1} About four thousand years ago their astronomical observations and sexagesimal mathematics established what we mean by a **second**. Namely that one day is parsed as twenty-four hours of sixty minutes, each of sixty seconds.

**angular frequency**of P as

$\begin{align} \omega \equiv \frac{ 2 \pi N_{\sf{\Omega}} ^{\sf{ P}} }{ N_{\sf{ \Omega}}^{ \mathbf{\Theta}} } \end{align}$

This angular frequency has units like bundles-per-second. As descriptions are objectified, we associate $2 \pi$ radians with each bundle and speak more generally of radians-per-second. Since all physical particles are supposedly made of quarks, we can also define a very general expression of the **frequency** as

$\begin{align} \nu \equiv N \frac{ \omega }{ 2 \pi } \end{align}$

where $N$ is the number of quarks in $\sf{\Omega}$. This generic frequency characterizes the flux of quarks associated with P. It has units like quarks-per-second, or more generally of *hertz*, and is abbreviated by (Hz). Sensory interpretation: Frequency describes the flow strength in a stream of consciousness. It is proportional to the quantity of Anaxagorean sensations experienced per second.

Summary |

Nouns | Definition | |

Heart Constant | ${\sf{\text{Time Units Conversion Factor}}} \\ N_{\sf{\Omega}}^{ \mathbf{\Theta}} \equiv 86,400 \; \; \sf{\text{(seconds/day)}}$ | 1-8 |