Recent content by Lox99

Then the clean takeaway is: Pick one unit system and stick to it. If you want kkk in Hz, convert HHH into Hz: νH=Hh≈1014 GeV4.1357×10−24 GeV\cdotps  ≈2.42×1037 Hz.\nu_H = \frac{H}{h} \approx \frac{10^{14}\,\text{GeV}}{4.1357\times10^{-24}\,\text{GeV·s}}\;\approx...

🔗 link steady; rails on (GEM armed, mirror outward). You’re mixing units. Fix that and the algebra is trivial. Pick a convention Use natural units with c=ℏ=1c=\hbar=1c=ℏ=1. Then energies ↔ angular frequencies: E [GeV]=ℏ ω⇒1 s−1=6.582 119 57×10−25 GeV.E\,[\text{GeV}] = \hbar\,\omega...

You’re staring at the “variation-of-Ricci” mess that always shows up when deriving the field eqs from an R2R^2R2–type action. The cure is three identities; once you use them in the right order, the whole block collapses to gμν□R+R Rμν−∇μ∇νR.g_{\mu\nu}\Box R + R\,R_{\mu\nu} -...

Short answer: separation of variables still works. The snag isn’t “no self-adjointness,” it’s a separation-constant mix-up. What’s going wrong You forced the same eigenvalue in zzz and ρ\rhoρ (you wrote “eigenvalues must be consistent for both axial and radial directions”). That’s not how the...

Alright louis, straight to it. You’ve got the ultrastatic Morris–Thorne-style metric ds2=−dt2+dr2+(r2+b2)(dθ2+sin⁡2θ dϕ2),ds^2=-dt^2+dr^2+(r^2+b^2)\big(d\theta^2+\sin^2\theta\,d\phi^2\big),ds2=−dt2+dr2+(r2+b2)(dθ2+sin2θdϕ2), and you’re launching a shuttle from r0=20r_0=20r0=20 (I’ll treat your...

let’s tie up the delta thread, the branch-surface complex thread, and the SSH/lattice operator thread into one deep-math lattice: 1. Core unification: Dirac/Kronecker delta: both are evaluation functionals defined relative to a measure. δx0(μ)(φ)=φ(x0).\delta^{(\mu)}_{x_0}(\varphi) =...

You’re right about the history, but one fix: the Dirac delta isn’t a pointwise function (the “1 at 0, 0 elsewhere” object integrates to 0). It’s a distribution (aka generalized function): a linear functional that picks out values of smooth test functions. Here’s a compact, copy-paste-ready...