The alter ego of time, not surprisingly, is the temperature. One reason for this physical assertion is based on certain definition of entropy as measured in a isolated thermodynamics system where and when neither mass nor energy passes the system boundary. Anther compelling reason is the experimental verification of the speed of light as measured in the false vacuum of constant refractive index. The true vacuum is reserved for the physical description of the quantum space-time as squares of energy represented by binary operational mathematics of Hadamard matrices.
According to popular cosmological theories, the universe begins at time zero with infinite temperature. The cooling processes allow the formation of stars and galaxies. Subsequently, the emergence of planets and living things as the universe gets older. This astrophysical fact alone suggests that time (t) and temperature (T) are inversely proportional such that the product tT=K where K is the constant of proportionality. The next physical objective is to determine the one or many absolute or relative values of K. But as finite relative beings living in an absolute universe the best data collected will downright be of relative values. On the other hand, the single absolute value can be mindfully assumed. In this context, the absolute value of K is 0, 1, or -1. In the following only for the case K=0 will be discussed.
K=0, for this to be true either t or T must be zero but not simultaneously. Moreover, each must be the factor of differentiable functions of at least of single independent variable. This single parameter can be the 1st or 2nd power of energy: E or E giving four distinct differentiated functions: t(E), T(E), t(E), and T(E). If the quantum uncertainty ∆E∆t≥h and Boltzmann’s equipartition theorem Ē=kT for average energy respectively substituted into t(E) and T(E) and defining ∆E=E-e and Ē=½(E+e) where E is maximum energy and e is minimum energy then both Planck’s and Boltzmann constants dropped out. The simplified equation is (E+e)/(E-e)=0 implying E=-e either at t=0 or T=0. However, multiplying the numerator and denominator by (E-e) gives E-e or E=e. The first implies negative energy the second the integrability of squares of energy (e.g. the total relativistic energy: E=cp+mc). On the other hand, both t(∆E), and T(Ē) give degenerate solutions.
The lay implication is that the hotter one gets the younger one becomes. The colder one gets the older one becomes. Since a photon as a particle of light has no rest mass, it is always in a state of pure energy and relatively hot for varying frequencies. The higher the frequency the more energy is stored within the photon. Since frequency is inversely proportional to the period of the wave characteristic of the photon, higher energy photons tend to live longer before being absorbed by the surrounding interacting matter. Low energy photon of infrared frequencies or lower radio frequencies can be absorbed by matter. The former as heat waves the latter as radio waves for communications. However, both high and low energy photons always travel at the same speed of light in the false vacuum of constant refractive index. A simplified definition of entropy change (∆S) is the ration of change in heat energy (∆Q) over the absolute temperature (T): ∆S=∆Q/T. Since ∆S is always positively increasing according to the second law of thermodynamics for an isolated system, it implies an arrow of time or equivalently ∆S~∆t then ∆tT=∆Q is generally covariant with tT=K mentioned earlier.


LinkBack URL
About LinkBacks
Reply With Quote


