Colby on Nostr: 8 months later, you’re a little late Dave. What do you think of the new constant O? ...

8 months later, you’re a little late Dave.

What do you think of the new constant O?

Unifying quantum mechanics with Einstein’s general relativity… ⚛️

Here’s a short excerpt:
“\subsection{Developing a Novel Constant in Quantum Physics}

This began by considering the possibility of a universal constant based on units of length, similar to how Planck's constant is based on units of time. In traditional quantum mechanics, energy is linked to frequency through Planck's constant \( h \). The goal was to harness wavelength (a measure of length) instead of frequency (a measure of time) to discover a scalable constant: \( O \).

\vspace{1.2em} % Adjust the amount of space as needed

\textbf{Planck's constant (\( h \))}:
\begin{itemize}
\item \textbf{Equation}: \( E = h\nu \)
\item \textbf{Units}: Joule-seconds (Js)
\item \textbf{Role}: Relates energy to frequency, where frequency requires time.
\end{itemize}

\textbf{New constant (\( O \))}:
\begin{itemize}
\item \textbf{Equation}: \( O = E \times \lambda \)
\item \textbf{Units}: Joule-meters (Jm)
\item \textbf{Role}: Relates energy to wavelength, relying on spatial dimensions.
\end{itemize}


\subsection{Establishing \( O \) as a Scalable Constant: Deriving From The Cornerstones of Quantum Physics With Consistency}

\begin{enumerate}
\item \textbf{Deriving \( O \) from Planck's Constant and Speed of Light}:
\[
O = h \times c
\]

\item \textbf{Deriving \( O \) from Energy and Wavelength}:
\[
O = E \times \lambda
\]
\end{enumerate}

These expressions show how \( O \) bridges the concepts of energy, wavelength, Planck's constant, and the speed of light.

\subsection{Calculating \( O \) with Real Values}

\textbf{Calculating \( O \) from Planck's Constant and Speed of Light:}

\[
h = 6.62607015 \times 10^{-34} \, \text{Js}
\]
\[
c = 3 \times 10^8 \, \text{m/s}
\]
\[
O = h \times c = 6.62607015 \times 10^{-34} \times 3 \times 10^8 = \mathbf{1.987821045 \times 10^{-25} \, \text{Jm}}
\]

\textbf{Deriving \( O \) from Energy and Wavelength:}

\begin{itemize}
\item \textbf{Purple Photon}:
\[
E = \frac{6.62607015 \times 10^{-34} \times 3 \times 10^8}{400 \times 10^{-9}} = 4.97 \times 10^{-19} \, \text{J}
\]
\[
\lambda = 400 \times 10^{-9} \, \text{m}
\]
\[
O = \mathbf{1.99 \times 10^{-25} \, \text{Jm}}
\]

\item \textbf{Red Photon}:
\[
E = \frac{6.62607015 \times 10^{-34} \times 3 \times 10^8}{700 \times 10^{-9}} = 2.84 \times 10^{-19} \, \text{J}
\]
\[
\lambda = 700 \times 10^{-9} \, \text{m}
\]
\[
O = \mathbf{1.99 \times 10^{-25} \, \text{Jm}}
\]
\end{itemize}

The value of \( O \) remains consistent at \(\mathbf{1.99 \times 10^{-25} \, \text{Jm}}\) regardless of the photon's energy and wavelength. This consistency across different scenarios illustrates that \( O \) is a fundamental constant, unifying the relationship between energy and wavelength in quantum mechanics.

\subsection{Establishing a Chain of Equalities with \( O \) and The Cornerstone Quantities of Quantum Physics}

\[
O = h \times c = E \times \lambda
\]

This chain of equalities incorporates fundamental constants and parameters from the cornerstone equations of quantum physics. Energy, as seen in \(E = mc^2\), wavelength from de Broglie's equation, Planck's constant \(h\) from Planck's equation, and \(c\), the speed of light used ubiquitously. The emergence of this relationship showcases the profound interconnectivity of these universal constants.”