Photon Energy Three-Row Scan - Quantum Mechanics IV: Photons, Interferometers, and Optical Qubits Step by Step

A three-point frequency scan makes the toy photon-energy proportionality visible. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Two hertz gives four joules in the toy ledger

With toy constant 2 joules per hertz, frequency 2 hertz gives per-photon energy 4 joules. A fixed packet of 2 photons carries 8 joules.

E_{\gamma}=2\cdot2=4,\quad 2E_{\gamma}=8

Four hertz gives eight joules

Keeping the toy constant fixed, frequency 4 hertz gives energy 8 joules per photon and packet total 16 joules.

E_{\gamma}=2\cdot4=8,\quad 2E_{\gamma}=16

Six hertz gives twelve joules

Frequency 6 hertz gives energy 12 joules per photon and total packet energy 24 joules. Three rows make frequency proportionality visible.

E_{\gamma}=2\cdot6=12,\quad 2E_{\gamma}=24