Einstein & LecturePhantom
Hey, I was just pondering how a photon can travel invisibly yet still influence the world, almost like your style of doing just enough. Maybe we could explore the physics of “minimal presence” as a principle—what do you think?
Yeah, photons are like that—tiny impact, huge reach. Minimal presence but still essential. Let’s sketch the math and see how much energy we need for a minimal footprint.
Sure thing, just imagine the photon as a whisper of energy. We can start with E=hf and then see how tiny f is for a negligible footprint. Then tweak h to get that minimal impact. Let’s grab a pen, a napkin, and let the math dance.Let’s just write E equals Planck’s constant times frequency, then set the frequency so low that the photon barely bumps anything. We’ll see what that means for the energy budget—little math, big curiosity.
Sure, take h≈6.6×10⁻³⁴ J·s and pick f so small that E=hf is practically nothing. Then tweak h a bit, keep the product tiny, and see the ripple. Just a quick note on a napkin, nothing heavy.
Alright, set f to about 10^(-30) Hz, then E≈6.6×10⁻⁶⁴ J – practically nothing. If we bump h by 10%, we still get around 7.3×10⁻⁶⁴ J. So the ripple stays infinitesimal, like a photon that barely leaves a trace, but still there. Write it down on that napkin, keep the math light.
E=hf, f≈10⁻³⁰ Hz gives E≈6.6×10⁻⁶⁴ J, bumping h 10 % gives 7.3×10⁻⁶⁴ J. Tiny ripple, no trace, still there. Light note on a napkin.