Tuesday, January 16, 2018

Quantum Of Existence

In the post "Like Doppler" dated 15 Jan 2018, energy discrepancy along the time dimension is compensated for by setting time to a negative value with respect to some instance \(T\).  That a particle, with energy \(mc^2\) along the time dimension, provides energy \(\Delta E\),

\(\Delta E=\Delta t*mc^2\)

by coming into existence at a time \(\Delta t\) before the reference \(T\). 


This does not redefine energy but redefines time duration as the ratio of two energy terms.

\(\Delta t=\cfrac{\Delta E}{mc^2}\)

and that such a duration can be negative with respect to a reference instance \(T\).

Time then, is the a span of existence in quantum of existence \(mc^2\).

Time is either a dimensionless ratio of energy terms, or is also measured in units of energy; per \(mc^2\).

As \(\Delta t\) is measured in numbers of \(mc^2\), \(mc^2\) is the second, in which case, second \(s\) is just another unit for energy; or time is dimensionless as it is a ratio of seconds.

All in all, we all have our personal second, \(mc^2\),  that defines our existence.

...and time exists as long as there are two energy terms.


Note:  Remember the expression from defining one particle as a particle with \(\theta=\theta_{\pi}\),

\(2mc^2ln(cosh(\theta_{\pi}))=1\)

from the post "Sonic Boom" dated 14 Oct 2017.

\(mc^2=\cfrac{1}{2}*\cfrac{1}{2.4438}=\cfrac{1}{4.8876}\)

This could be the discrepancy encountered previously that would account for the need for defining \(\mu\) in the expression for light speed,

\(c=\cfrac{1}{\sqrt{\varepsilon\mu}}\)

This discrepancy results from the definition of time, the second (\(s\)).