Quantum Illumination: Exploring Photon Energy Conversion to Mass in Visible and Gamma-Ray Spectrums

To elucidate the process of matter creation from energy, particularly focusing on how many photons are needed to match the mass of an electron in the visible and gamma-ray spectrums, we incorporate specific calculation steps and necessary equations. This approach will illuminate the quantum-to-classical transition and provide a clearer understanding of the energy-mass interplay in these spectrums. Here is a detailed explanation including these aspects:

Step 1: Determine Photon Energy

First, we use Planck’s equation to calculate the energy of a photon in both the visible spectrum and the gamma-ray spectrum.

E=hν=hcλ​

• EE is the energy of the photon.
• h is Planck’s constant (6.62607015×10−34 J s).
• c is the speed of light (3.00×108 m/s).
• λ is the wavelength of the light (in meters).
• ν is the frequency of the light (in hertz).

For the visible spectrum, we consider the wavelengths ranging from violet (approximately 400 nm) to red light (approximately 700 nm). For gamma rays, we consider a much shorter wavelength, typically less than 1 picometer (pm) or 1×10−121×10−12 meters, to represent high-energy photons.

Step 2: Calculate Mass Equivalent of Photon Energy