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कैटलॉग का हर समीकरण, हर उत्पाद के लिए एक पंक्ति।

  1. Adiabram, the Slow-Change Shepherd MugMug \[T_{\text{change}} \gg \frac{\hbar}{\Delta E}\]
  2. Alfvena – Alfvén Waves Physics T-ShirtT-Shirt \[v_A = \frac{B}{\sqrt{\mu_0 \rho}}\]\[\omega = k_{\parallel}\, v_A \qquad (\text{shear Alfvén wave, ideal MHD})\]
  3. Aliasyne, the Undersampled Twin MugMug \[f_s > 2 f_{\max}\]
  4. Arago – The Spot of Arago Physics T-ShirtT-Shirt \[N_F = \frac{a^{2}}{\lambda L}\]\[I_{\text{on axis}} \approx I_0\]
  5. Areax – Hawking's Area Theorem Physics T-ShirtT-Shirt \[A_{\text{final}} \ge A_1 + A_2\]\[A = 8\pi\left(\frac{GM}{c^{2}}\right)^{2}\left(1 + \sqrt{1-\chi^{2}}\right) \qquad (\text{Kerr black hole})\]
  6. Arnold's Cat – Cat Map Chaos Physics T-ShirtT-Shirt \[\Gamma:\ (x, y) \mapsto (x + y,\ x + 2y) \bmod 1\]\[A = \begin{pmatrix}1 & 1\\ 1 & 2\end{pmatrix},\quad \det A = 1,\quad \lambda_\pm = \frac{3 \pm \sqrt{5}}{2}\]\[\Pi(124) = 15\]
  7. Asymptor, the Last-Step Knight MugMug \[\lim_{T \to 0} \Delta S = 0\]
  8. Atom Smashers Pixel Sticker Sheet – 12 Physics StickersPaper products \[Q = \left(M_{\text{initial}} - M_{\text{final}}\right)c^{2}\]\[\begin{gathered} V(r) = -\frac{g^{2}}{4\pi}\,\frac{e^{-r/R}}{r} \\ R = \frac{\hbar}{m c} \end{gathered}\]\[\begin{gathered} E_N = \hbar\omega\left(N + \tfrac{3}{2}\right) \\ \begin{aligned} g_N &= (N+1)(N+2) \\ &= 2,\,6,\,12,\,\ldots \end{aligned} \\ \Rightarrow\; \text{shells close at } 2,\,8,\,20 \end{gathered}\]\[\alpha = \left(\frac{A-1}{A+1}\right)^2\]\[V(\phi) = -\mu^2|\phi|^2 + \lambda|\phi|^4\]\[m_{\bar{X}} = m_X,\quad \tau_{\bar{X}} = \tau_X\]\[\sin^{2}\theta_W \approx 0.231\ \ (\overline{\mathrm{MS}},\ \mu = M_Z),\quad e = g\sin\theta_W\]\[\mu = \frac{m_p}{m_e} = 1836.152\,673\,426(32)\]\[p + {}^{7}\mathrm{Li} \rightarrow 2\,\alpha + 17.3\ \mathrm{MeV}\]\[h = \frac{\mathbf{s}\cdot\mathbf{p}}{|\mathbf{s}|\,|\mathbf{p}|} = -1\]\[\omega_c^{2} = \omega_+^{2} + \omega_z^{2} + \omega_-^{2}\]
  9. Aurea – The KAM Theorem Physics T-ShirtT-Shirt \[|\mathbf{k}\cdot\boldsymbol{\omega}| \ge \frac{\gamma}{|\mathbf{k}|^{\tau}}\]\[\text{Standard map: golden torus breaks at } K = 0.971635\]\[\frac{1+\sqrt{5}}{2} = 1.618\ldots\]
  10. Avergail, the Mean-Field Courtier MugMug \[B_{\text{eff}} = B + \lambda M\]\[\chi = \frac{C}{T - T_c}\]
  11. Axona – The Hodgkin–Huxley Spike Physics T-ShirtT-Shirt \[C_m \frac{dV}{dt} = -\bar g_{Na} m^{3}h\,(V - E_{Na}) - \bar g_{K} n^{4}(V - E_K) - g_L (V - E_L) + I\]\[\frac{dm}{dt} = \alpha_m(V)(1-m) - \beta_m(V)\,m \qquad (\text{same form for } h \text{ and } n)\]
  12. Azurwake – Cherenkov Radiation / Light-Speed in Water Physics StickerPaper products \[\cos\theta = \frac{1}{n\beta}, \qquad \beta > \frac{1}{n}\]\[\begin{aligned} \frac{d^2N}{dx\,d\lambda} &= \frac{2\pi\alpha z^2}{\lambda^2} \\ &\quad\times\left(1-\frac{1}{\beta^2 n^2}\right) \end{aligned}\]
  13. Backglowen, the Sky-Limited Lantern MugMug \[\text{SNR} \propto \sqrt{t} \quad \text{(sky-limited)}\]
  14. Backrowena, the Broken-Symmetry Usher MugMug \[V(\phi) = -\mu^{2}|\phi|^{2} + \lambda |\phi|^{4}\]\[|\phi_0|^{2} = \frac{\mu^{2}}{2\lambda}\]
  15. Barrierwyn, the Escape-Rate Climber MugMug \[k \propto e^{-\Delta E / k_B T}\]
  16. Beaconess, the Laser-Star Maker MugMug \[E = \frac{hc}{\lambda}\]\[\lambda_{\text{Na D}_2} \approx 589\ \text{nm} \;\Rightarrow\; E \approx 2.1\ \text{eV}\]
  17. Bertrande – Bertrand's Theorem Physics T-ShirtT-Shirt \[F = -\frac{k}{r^{2}} \quad \text{or} \quad F = -k\,r\]\[\beta^{2} = 3 + \frac{r\,f'(r)}{f(r)} \in \{1,\ 4\}\]
  18. Bifurcor – Stern–Gerlach Experiment / Spin Quantization Physics StickerPaper products \[F_z = \mu_z\,\frac{\partial B_z}{\partial z}\]\[\begin{gathered} \mu_z = -g_s\,\mu_B\,m_s \\ m_s = \pm\tfrac{1}{2} \end{gathered}\]
  19. Bose-Einstein Condensate 1995 TeeT-Shirt \[\lambda_{\mathrm{dB}} = \frac{h}{\sqrt{2\pi m k_B T}}\]\[n\,\lambda_{\mathrm{dB}}^{3} = \zeta(3/2) \approx 2.612\]\[k_B T_c = \frac{2\pi\hbar^{2}}{m}\left(\frac{n}{\zeta(3/2)}\right)^{2/3}\quad\text{(uniform gas)}\]\[k_B T_c \approx 0.94\,\hbar\bar\omega\,N^{1/3}\quad\text{(harmonic trap)}\]
  20. Bounda – The Bekenstein Bound Physics T-ShirtT-Shirt \[S \le \frac{2\pi k_B R E}{\hbar c}\]\[S_{BH} = \frac{k_B c^{3} A}{4 G \hbar}\]
  21. Boundraith, the Mismatched Border Wraith MugMug \[R_K \propto T^{-3}\]
  22. Bremsella – Bremsstrahlung (Braking Radiation) Physics StickerPaper products \[P = \frac{q^2 a^2}{6\pi\varepsilon_0 c^3}\]
  23. Broadling, the Short-Lived Herald MugMug \[\Gamma = \frac{\hbar}{\tau}\]
  24. C. V. Raman Sticker – Most Pass Free. A Few Pay A Toll. | Physics StickerPaper products \[\begin{gathered} h\nu_s = h\nu_0 - h\nu_{\text{vib}} \\ (\text{Stokes}) \end{gathered}\]\[\begin{gathered} h\nu_s = h\nu_0 + h\nu_{\text{vib}} \\ (\text{anti-Stokes}) \end{gathered}\]\[\Delta\tilde\nu = \frac{1}{\lambda_0} - \frac{1}{\lambda_s}\]
  25. Candelor – The Candela / 683 Lumens per Watt Physics StickerPaper products \[K_{cd} = 683\ \mathrm{lm/W}\quad\text{at}\ \nu = 540\times10^{12}\ \mathrm{Hz}\ (\text{exact})\]\[\Phi_v = K_m \int V(\lambda)\,\Phi_{e,\lambda}\,\mathrm{d}\lambda\]
  26. Casimira – The Casimir Effect Pixel StickerPaper products \[\frac{F}{A} = -\frac{\pi^2\hbar c}{240\,d^4}\]
  27. Cavenda – Weighing the World 1798 Physics T-ShirtT-Shirt \[F = \frac{G M m}{r^{2}}, \qquad \kappa\theta = F L, \qquad T = 2\pi\sqrt{\frac{I}{\kappa}}\]\[G = 6.674\,30(15)\times10^{-11}\ \mathrm{m^{3}\,kg^{-1}\,s^{-2}} \quad (\text{CODATA 2022})\]
  28. Cecilia Payne-Gaposchkin Sticker – Almost Certainly Real. | Physics StickerPaper products \[\begin{aligned} \frac{n_{i+1}\,n_e}{n_i} &= \frac{2}{\Lambda^{3}}\,\frac{g_{i+1}}{g_i} \\ &\quad\times\exp\!\left(-\frac{\chi_i}{k_B T}\right) \\ \Lambda &= \frac{h}{\sqrt{2\pi m_e k_B T}} \end{aligned}\]\[\begin{gathered} X + Y + Z = 1 \\ (\text{Sun's surface today:} \\ X\approx0.74,\ Y\approx0.25, \\ Z\approx0.013) \end{gathered}\]
  29. Celtrix – The Rattleback Physics T-ShirtT-Shirt \[\frac{d\mathbf{L}}{dt} = \mathbf{r}_c \times \mathbf{F}_c\]
  30. Chandrasekhar Limit Tee: 1.4 M☉T-Shirt \[M_{\mathrm{Ch}} = \frac{\omega_3^{0}\sqrt{3\pi}}{2}\left(\frac{\hbar c}{G}\right)^{3/2}\frac{1}{(\mu_e m_H)^{2}} \approx \frac{5.8\,M_\odot}{\mu_e^{2}}\]\[\mu_e = 2 \;\Rightarrow\; M_{\mathrm{Ch}} \approx 1.44\,M_\odot\ \text{(ideal)},\ \approx 1.4\,M_\odot\ \text{(real white dwarfs)}\]
  31. Chien-Shiung Wu Sticker – She Broke Symmetry. And Records. | Physics StickerPaper products \[{}^{60}\mathrm{Co} \to {}^{60}\mathrm{Ni}^{*} + e^{-} + \bar\nu_e\]\[\begin{gathered} \hat P:\ \vec J \to \vec J,\ \ \vec p_e \to -\vec p_e \\ \Rightarrow\; \langle \vec J\cdot\vec p_e\rangle \ne 0 \\ \text{violates parity} \end{gathered}\]
  32. Chimella, the Hot-Chocolate Bell MugMug \[\frac{1}{\rho c^{2}} = \frac{1-\phi}{\rho_l c_l^{2}} + \frac{\phi}{\rho_g c_g^{2}}\]\[f \propto c\]
  33. Chivelle, the Too-Good-Fit Inquisitor MugMug \[\frac{\chi^{2}}{\nu} \approx 1\]
  34. Choralis – The Hellings–Downs Curve Physics T-ShirtT-Shirt \[\Gamma(\theta) = \frac{1}{2} - \frac{x}{4} + \frac{3}{2}\,x\ln x, \qquad x = \frac{1-\cos\theta}{2}\]\[\Gamma_{\min} \approx -0.15 \text{ near } 82^{\circ}; \quad \Gamma = 0 \text{ near } 49^{\circ},\ 122^{\circ}; \quad \Gamma(180^{\circ}) = \tfrac{1}{4}\]
  35. Christiaan Huygens Sticker – Every Point A Source | Physics StickerPaper products \[r = v\,\Delta t\]\[\text{new front} = \text{envelope of the wavelets}\]
  36. Chronolith – The Discrete Time Crystal Physics T-ShirtT-Shirt \[H(t+T) = H(t)\]\[\langle \sigma^{z}(t+2T)\rangle = \langle \sigma^{z}(t)\rangle \neq \langle \sigma^{z}(t+T)\rangle\]
  37. Chuanna – Chua's Double Scroll Physics T-ShirtT-Shirt \[\frac{dx}{dt} = \alpha\,(y - x - f(x)), \qquad \frac{dy}{dt} = x - y + z, \qquad \frac{dz}{dt} = -\beta y\]\[f(x) = m_1 x + \tfrac{1}{2}(m_0 - m_1)\left(|x+1| - |x-1|\right)\]\[\alpha = 15.6, \quad \beta = 28, \quad m_0 = -\tfrac{8}{7}, \quad m_1 = -\tfrac{5}{7}\]
  38. Classic Lab Experiments Pixel Sticker Sheet – 12 Physics StickersPaper products \[F \propto -\,I_{\mathrm{coil}}\,I_{\mathrm{ring}}\]\[f = \frac{n}{2L}\sqrt{\frac{T}{\mu}}\]\[\gamma = \frac{4\pi^{2} m V}{A^{2} p\,T^{2}}\]\[W = J\,Q\]\[\delta_{\mathrm{beam}} = 2\theta\]\[B \propto q\,v\]\[Q = \frac{m}{e}\,\frac{v_0 L}{R}\]\[F = \pi r^{2}\,\Delta p\]\[E > E_c \;\rightarrow\; \text{rotation}\]\[G = 6.674\,30(15)\times10^{-11}\ \mathrm{m^{3}\,kg^{-1}\,s^{-2}}\]
  39. Classical Physics Vol. 1 Pixel Sticker Sheet – 10 Physics StickersPaper products \[J = \oint p\,\mathrm{d}q\]\[\frac{\partial p}{\partial r} = \frac{\rho v_\theta^{2}}{r}\]\[\lambda_{\mathrm{IR}} > \lambda_{\mathrm{red}} \approx 0.7\ \mu\mathrm{m}\]\[k_{\mathrm{eff}} = \tfrac{k}{2}\ (\text{series}) \;\rightarrow\; k_{\mathrm{eff}} = 2k\ (\text{parallel})\]\[z = \frac{\omega^{2} r^{2}}{2g}\]\[h_2 \propto h_1\]\[\mathbf{a}' = -2\,\boldsymbol{\Omega}\times\mathbf{v}' - \boldsymbol{\Omega}\times(\boldsymbol{\Omega}\times\mathbf{r}')\]\[\phi = U\left(r + \frac{a^{3}}{2r^{2}}\right)\cos\theta \;\Rightarrow\; F_{\mathrm{drag}} = 0\]\[p(z) = p_\infty\left(1 - e^{-z/\lambda}\right),\quad \lambda = \frac{R}{2\mu K}\]\[r_{L2} \approx R\left(\frac{M_2}{3M_1}\right)^{1/3}\]
  40. Classical Physics Vol. 2 Pixel Sticker Sheet – 10 Physics StickersPaper products \[\mathbf{F}_M = \alpha\,\boldsymbol{\omega}\times\mathbf{v}\]\[f = \frac{n}{2L}\sqrt{\frac{T}{\mu}}\]\[\omega_{\text{prec}} = \Omega_\oplus \sin\varphi\]\[L = I\omega\]\[m\frac{dv}{dt} = mg - \tfrac12\rho C_d A\,v^2\]\[V = -N\,\frac{\mathrm{d}\Phi}{\mathrm{d}t}\]\[\mathbf{J}_d = \varepsilon_0\,\frac{\partial \mathbf{E}}{\partial t}\]\[\beta = V B d\]\[\delta_{\mathrm{beam}} = 2\theta\]\[Q = \frac{m}{e}\,\frac{v_0 L}{R}\]
  41. Classical Physics Vol. 4 Pixel Sticker Sheet – 10 Physics StickersPaper products \[\mathrm{Fr} = \frac{v}{\sqrt{g h}}\]\[f = \mathrm{St}\,\frac{U}{D}, \qquad \mathrm{St} \approx 0.2\]\[N_1 = \tau_{11} - \tau_{22} > 0\]\[\tau = \nabla_s \gamma\]\[I_e \propto \exp\!\left[\frac{e\,(V - V_p)}{k_B T_e}\right]\]\[\Phi_v = K_m \int V(\lambda)\,\Phi_{e,\lambda}\,\mathrm{d}\lambda,\quad K_{cd} = 683\ \mathrm{lm/W}\]\[D_{\min} = 2\arcsin\!\left(n\sin 30^\circ\right) - 60^\circ\]\[n_o > n_{\mathrm{balsam}} > n_e\]\[\Delta\nu_{\mathrm{FSR}} = \frac{c}{2nL}\]\[\mathbf{F}_{\mathrm{grad}} \propto \nabla I\]
  42. Clustrelle, the Cheerios-Effect Gatherer MugMug \[\ell_c = \sqrt{\frac{\gamma}{\rho g}}\]\[F(\ell) \propto K_1\!\left(\frac{\ell}{\ell_c}\right)\]
  43. Condensa – Bose–Einstein Condensate Physics StickerPaper products \[\frac{N_0}{N} = 1 - \left(\frac{T}{T_c}\right)^{3/2}\quad(T\le T_c)\]\[kT_c = \frac{2\pi\hbar^2}{m}\left(\frac{n}{\zeta(3/2)}\right)^{2/3}\]
  44. Constants & Units Pixel Sticker Sheet – 12 Physics StickersPaper products \[m g v = U I\]\[I = e f\]\[c^{2} = \frac{\gamma k_B T}{m}\]\[\Phi_0 = \frac{h}{2e} \approx 2.067\,833\,848\times10^{-15}\ \mathrm{Wb}\]\[\mu_B = \frac{e\hbar}{2m_e} = 9.274\,010\,0657(29)\times10^{-24}\ \mathrm{J/T}\]\[a_0 = \frac{4\pi\varepsilon_0\hbar^{2}}{m_e e^{2}} = 5.291\,772\,105\,44(82)\times10^{-11}\ \mathrm{m}\]\[G = 6.674\,30(15)\times10^{-11}\ \mathrm{m^{3}\,kg^{-1}\,s^{-2}}\]\[\sin^{2}\theta_W \approx 0.231\ \ (\overline{\mathrm{MS}},\ \mu = M_Z),\quad e = g\sin\theta_W\]\[G = \frac{2e^{2}}{h}\sum_n T_n,\quad G_0 = \frac{2e^{2}}{h} \approx 7.748\,091\,729\times10^{-5}\ \mathrm{S}\]\[\mu = \frac{m_p}{m_e} = 1836.152\,673\,426(32)\]\[\sigma_T = \frac{8\pi}{3}\,r_e^{2} = 6.652\,458\,7051(62)\times10^{-29}\ \mathrm{m}^{2}\]\[\Phi_v = K_m \int V(\lambda)\,\Phi_{e,\lambda}\,\mathrm{d}\lambda,\quad K_{cd} = 683\ \mathrm{lm/W}\]
  45. Corekeeper – Strong Nuclear Force / Nuclear Binding Physics T-ShirtT-Shirt \[V(r) = -\frac{g^{2}}{4\pi}\frac{e^{-r/\lambda}}{r}, \qquad \lambda = \frac{\hbar}{m_\pi c}\]\[B = \left(Z m_p + N m_n - M_{\text{nuc}}\right)c^{2}\]
  46. Coriolix – Coriolis Effect Physics StickerPaper products \[\mathbf{a}' = -2\,\boldsymbol{\Omega}\times\mathbf{v}' - \boldsymbol{\Omega}\times(\boldsymbol{\Omega}\times\mathbf{r}')\]\[x' = vt\cos\Omega t,\qquad y' = -vt\sin\Omega t\]\[\Delta\varphi = \frac{\Omega R}{v}\]
  47. Cosmic Extremes Pixel Sticker Sheet – 11 Physics StickersPaper products \[T_H = \frac{\hbar c^{3}}{8\pi G M k_B}\]\[\begin{aligned} M_{\text{Ch}} &= \frac{\omega_3^{0}\sqrt{3\pi}}{2}\left(\frac{\hbar c}{G}\right)^{3/2} \\ &\quad\times\frac{1}{(\mu_e m_H)^{2}} \\ &\approx \frac{5.73}{\mu_e^{2}}\,M_\odot \end{aligned}\]\[\sigma^2 \sim \frac{GM}{R}\]\[v(r)^{2} = \frac{G M(r)}{r}\]\[\bar\rho \gtrsim \frac{3\pi}{G P^{2}}\]\[T(z) = T_0\,(1+z)\]\[Y_p \simeq \frac{2\,(n/p)}{1 + n/p}\]\[h \approx \frac{\Delta L}{L}\]\[\Delta t = \gamma\,\tau, \qquad L = \frac{L_0}{\gamma}\]\[R_{\mathrm{Cl}}^{\mathrm{meas}} = 2.56 \pm 0.16 \pm 0.16\ \mathrm{SNU} \quad \text{vs} \quad R_{\mathrm{Cl}}^{\mathrm{pred}} = 7.6^{+1.3}_{-1.1}\ \mathrm{SNU}\]
  48. Counterterra, the Renormalising Smith MugMug \[m = m_0 + \delta m\]\[e = \sqrt{Z_3}\, e_0\]
  49. Creamward, the Milk-First Alchemist MugMug \[\frac{dT}{dt} = -k\,(T - T_{\text{env}})\]
  50. Cryo Fault – Ductile-to-Brittle Transition Physics T-ShirtT-Shirt \[\sigma_f = \sqrt{\frac{2E\gamma_s}{\pi a}}\]\[K_I = Y\sigma\sqrt{\pi a} \ \ge\ K_{Ic} \;\Rightarrow\; \text{fracture}\]
  51. Cryoselle, Abbess of the Twenty Millikelvin MugMug \[\bar n = \frac{1}{e^{hf/kT} - 1}\]\[f = 5\ \text{GHz},\ T = 20\ \text{mK}:\quad \frac{hf}{kT} \approx 12,\quad \bar n \approx 6 \times 10^{-6}\]
  52. Dark Matter Host – Gravitational Lensing / Invisible Mass Physics T-ShirtT-Shirt \[v(r)^{2} = \frac{G M(r)}{r} \;\Rightarrow\; M(r) = \frac{v^{2} r}{G}\]\[\theta_E = \sqrt{\frac{4GM}{c^{2}}\,\frac{D_{LS}}{D_L D_S}}\]
  53. Decay Dancer – Weak Nuclear Force / Beta Decay Physics T-ShirtT-Shirt \[n \to p + e^{-} + \bar\nu_e\]\[d \to u + W^{-} \to u + e^{-} + \bar\nu_e\]\[Q = \left(m_n - m_p - m_e\right)c^{2} \approx 0.782\ \text{MeV}\]
  54. Decoherex – The Interference / Quantum Decoherence Physics T-ShirtT-Shirt \[\rho_{01}(t) = \rho_{01}(0)\,e^{-t/\tau_D}\]
  55. Decouplarch, the Two-Timescale Diplomat MugMug \[\Psi(\mathbf{r},\mathbf{R}) \approx \psi_{\mathbf{R}}(\mathbf{r})\, \chi(\mathbf{R})\]
  56. Degreeda, the Equipartition Dreamer MugMug \[\langle E \rangle = \tfrac{1}{2} k_B T \quad \text{per quadratic degree of freedom}\]
  57. Densara, the Final-State Cartographer MugMug \[\Gamma = \frac{2\pi}{\hbar}\, |M|^{2}\, \rho(E_f)\]
  58. Diagonix – Malus’s Law / Three-Polarizer Effect Physics StickerPaper products \[I = I_0\cos^2\theta\]\[I_{\text{out}} = \frac{I_0}{2}\cos^2 45^\circ\,\cos^2 45^\circ\]\[I_{\text{out}} = \frac{I_0}{8}\]
  59. Discoveries That Changed Physics Pixel Sticker Sheet – 11 Physics StickersPaper products \[v = \frac{E}{B}\]\[\frac{d\sigma}{d\Omega} = \left(\frac{zZe^2}{16\pi\varepsilon_0 E}\right)^2\frac{1}{\sin^4(\theta/2)}\]\[p + {}^{7}\mathrm{Li} \rightarrow 2\,\alpha + 17.3\ \mathrm{MeV}\]\[\rho_{\mathrm{N_2}}^{\mathrm{air}} \approx 1.005\,\rho_{\mathrm{N_2}}^{\mathrm{chem}}\]\[\lambda_{\mathrm{IR}} > \lambda_{\mathrm{red}} \approx 0.7\ \mu\mathrm{m}\]\[\theta \approx \frac{v}{c} \approx 20.5''\]\[\Delta t = \frac{\Delta d}{c}\]\[R_{\mathrm{Cl}}^{\mathrm{meas}} = 2.56 \pm 0.16 \pm 0.16\ \mathrm{SNU} \quad \text{vs} \quad R_{\mathrm{Cl}}^{\mathrm{pred}} = 7.6^{+1.3}_{-1.1}\ \mathrm{SNU}\]\[d = \tfrac{1}{2}g t^{2}\]
  60. Dissipar, the Fidgeting Oracle MugMug \[\langle V^{2} \rangle = 4 k_B T R\, \Delta f\]
  61. Distalis, the Far-Field Back-Row Watcher MugMug \[U(x,y) \propto \iint A(\xi,\eta)\, e^{-i\frac{2\pi}{\lambda z}(x\xi + y\eta)}\, d\xi\, d\eta\]\[z \gg \frac{a^{2}}{\lambda}\]
  62. Driftgale, the Thermal-Drift Wind Spirit MugMug \[\Delta L = \alpha L\, \Delta T\]\[\alpha_{\text{Al}} \approx 23 \times 10^{-6}\ \text{K}^{-1}:\quad L = 1\ \text{m},\ \Delta T = 1\ \text{K} \Rightarrow \Delta L \approx 23\ \mu\text{m}\]
  63. Drycrest, the Water-Vapour Hermit MugMug \[\text{PWV} = \frac{1}{\rho_w g}\int_0^{p_s} q\, dp\]\[\text{median PWV} \approx 1.86\ \text{mm (Mauna Kea 13N)}\]
  64. Duskward, the Astronomical-Twilight Warden MugMug \[h_\odot = -18^\circ \quad \text{(end of astronomical twilight)}\]\[-18^\circ \le h_\odot < -12^\circ\]
  65. Ehrenwheel – The Disk That Can't Stay Flat Physics T-ShirtT-Shirt \[C' = \frac{2\pi R}{\sqrt{1-\omega^{2}R^{2}/c^{2}}} > 2\pi R\]
  66. Ekmara – The Ekman Spiral Physics T-ShirtT-Shirt \[u + iv = V_0\,e^{i\pi/4}\,e^{(1+i)z/D}, \qquad z \le 0\]\[D = \sqrt{\frac{2\nu}{|f|}}, \qquad f = 2\Omega\sin\varphi\]
  67. Émilie du Châtelet Sticker – 2× The Speed. 4× The Dent. | Physics StickerPaper products \[\begin{gathered} E_k = \tfrac{1}{2} m v^{2} \\ (\text{vis viva: } m v^{2}) \end{gathered}\]\[v = \sqrt{2 g h}\;\Rightarrow\; h \propto v^{2}\]\[\begin{gathered} m g h \approx F d\;\Rightarrow\; d \propto v^{2} \\ (\text{idealised: constant} \\ \text{clay resistance}) \end{gathered}\]\[\begin{gathered} m_1 h_1 = m_2 h_2 \\ \Leftrightarrow\; m_1 v_1^{2} = m_2 v_2^{2} \\ \Rightarrow\; \text{equal dents} \\ (\text{'s Gravesande}) \end{gathered}\]
  68. Emmy Noether Sticker – Symmetry In. Conservation Out. | Physics StickerPaper products \[Q = \sum_i \frac{\partial L}{\partial \dot q_i}\,\delta q_i\]\[\delta L = 0 \;\Rightarrow\; \frac{dQ}{dt} = 0\]\[\begin{gathered} E = \sum_i \dot q_i\,\frac{\partial L}{\partial \dot q_i} - L \\ \frac{\partial L}{\partial t} = 0 \;\Rightarrow\; \frac{dE}{dt} = 0 \end{gathered}\]\[\begin{aligned} t \to t+\epsilon \;&\Rightarrow\; E \text{ conserved} \\ \vec x \to \vec x+\vec\epsilon \;&\Rightarrow\; \vec p \\ \theta \to \theta+\epsilon \;&\Rightarrow\; \vec L \end{aligned}\]
  69. Endoreva, the Max-Power Engine MugMug \[\eta = 1 - \sqrt{\frac{T_c}{T_h}}\]
  70. Enrico Fermi Sticker – Within An Order | Physics StickerPaper products \[f(E)=\frac{1}{e^{(E-\mu)/kT}+1}\]\[f(\mu)=\tfrac12\quad(T>0)\]
  71. Epochra, the Precession Navigator MugMug \[p_A \approx 5028.796195''\ \text{per Julian century} \approx 50.3''\,\text{yr}^{-1}\]\[P = \frac{360^\circ}{p_A} \approx 25\,800\ \text{yr}\]
  72. Erasa – Forgetting Costs Heat Physics T-ShirtT-Shirt \[\langle Q \rangle \ge k_B T \ln 2\]\[T = 300\ \mathrm{K}: \quad k_B T \ln 2 \approx 2.87\times10^{-21}\ \mathrm{J} \approx 0.018\ \mathrm{eV}\]
  73. Ernest Rutherford Sticker – Some Came Back | Physics StickerPaper products \[\frac{d\sigma}{d\Omega} = \left(\frac{zZe^2}{16\pi\varepsilon_0 E}\right)^2\frac{1}{\sin^4(\theta/2)}\]\[\tan\frac{\theta}{2} = \frac{d}{2b},\qquad d = \frac{zZe^2}{4\pi\varepsilon_0 E}\]
  74. Eventide Prophet – Black Hole Information Paradox Physics T-ShirtT-Shirt \[T_H = \frac{\hbar c^{3}}{8\pi G M k_B}\]\[S_{BH} = \frac{k_B c^{3} A}{4 G \hbar}\]\[\begin{gathered} S_{\text{rad}}(t) \le S_{BH}(t) \\ \text{unitary evaporation} \\ (\text{Page 1993}) \end{gathered}\]
  75. Everyday Physics Pixel Sticker Sheet – 12 Physics StickersPaper products \[\ell_c = \sqrt{\frac{\gamma}{\rho g}}\]\[\tau = \nabla_s \gamma\]\[\frac{\partial p}{\partial r} = \frac{\rho v_\theta^{2}}{r}\]\[I_s \propto \frac{1}{\lambda^4}\]\[D_{\min} = 2\arcsin\!\left(n\sin 30^\circ\right) - 60^\circ\]\[m\frac{dv}{dt} = mg - \tfrac12\rho C_d A\,v^2\]\[\mathbf{F}_M = \alpha\,\boldsymbol{\omega}\times\mathbf{v}\]\[\mathrm{Fr} = \frac{v}{\sqrt{g h}}\]\[\frac{\Delta f}{f} \approx \frac{\Delta\Phi}{c^2} - \frac{v^2}{2c^2}\]\[\mathcal{E} = -\frac{d\Phi_B}{dt}\]\[L = I\omega\]\[f = \mathrm{St}\,\frac{U}{D}, \qquad \mathrm{St} \approx 0.2\]
  76. Exclusor – Pauli Exclusion Principle / Degeneracy Pressure Physics T-ShirtT-Shirt \[\psi(x_1,x_2) = \frac{1}{\sqrt{2}}\begin{vmatrix} \phi_a(x_1) & \phi_b(x_1) \\ \phi_a(x_2) & \phi_b(x_2) \end{vmatrix}\]\[\psi(x_2,x_1) = -\,\psi(x_1,x_2)\]\[\phi_a = \phi_b \;\Rightarrow\; \psi = 0\]\[P = \frac{(3\pi^{2})^{2/3}}{5}\,\frac{\hbar^{2}}{m_e}\,n_e^{5/3}\]
  77. Expulsieur – Meissner Effect / Flux Expulsion Physics StickerPaper products \[\mathbf{B}_{\text{inside}} = 0\]\[B(x) = B_0\,e^{-x/\lambda_L}\]\[\lambda_L = \sqrt{\frac{m}{\mu_0 n_s e^2}}\]
  78. Fermia – The Fermi Paradox Physics T-ShirtT-Shirt \[N = R_{*}\cdot f_p \cdot n_e \cdot f_l \cdot f_i \cdot f_c \cdot L\]
  79. Fields Forever Pixel Sticker Sheet – 12 Physics StickersPaper products \[V(t) = V_0\sin(\omega t)\]\[\nabla\cdot\vec E = \frac{\rho}{\varepsilon_0}, \quad \nabla\cdot\vec B = 0\]\[\oint_S \vec E\cdot d\vec A = \frac{Q_{\text{enc}}}{\varepsilon_0}\]\[\mathcal{E} = -\frac{d\Phi_B}{dt}\]\[q v B = \frac{m v^2}{r} \;\Rightarrow\; r = \frac{m v}{q B}\]\[\mathbf{J}_d = \varepsilon_0\,\frac{\partial \mathbf{E}}{\partial t}\]\[F \propto -\,I_{\mathrm{coil}}\,I_{\mathrm{ring}}\]\[P = \frac{q^2 a^2}{6\pi\varepsilon_0 c^3}\]\[\cos\theta = \frac{1}{n\beta}, \qquad \beta > \frac{1}{n}\]\[\omega_c^{2} = \omega_+^{2} + \omega_z^{2} + \omega_-^{2}\]\[\Delta E = \frac{1}{2}\,\frac{C_1 C_2}{C_1 + C_2}\,(V_1 - V_2)^{2}\]
  80. Flagella – The Corkscrew Escape Physics T-ShirtT-Shirt \[F = A v + B\Omega, \qquad N = B v + D\Omega\]\[Re:\ \text{human swimmer} \sim 10^{4}, \quad E.\ coli \sim 10^{-5}\]
  81. Flickermoth, the Pink-Noise Moth Queen MugMug \[S(f) \propto \frac{1}{f^{\alpha}}, \qquad \alpha \approx 1\]\[S_y(f) \propto \frac{1}{f} \;\Rightarrow\; \sigma_y(\tau) = \text{const}\]\[\text{white FM: } \sigma_y(\tau) \propto \tau^{-1/2}\]
  82. Flukessa, the Second-Law Rebel MugMug \[\frac{P(\Sigma_t = A)}{P(\Sigma_t = -A)} = e^{A t}\]
  83. Foldara – Levinthal's Paradox Physics T-ShirtT-Shirt \[3^{100} \approx 5\times10^{47} \ \text{shapes}\]\[5\times10^{47} \times 10^{-13}\ \mathrm{s} \approx 10^{27}\ \text{years}\]
  84. Forces & Fields Vol. 1 Pixel Sticker Sheet – 7 Physics StickersPaper products \[\cos\theta = \frac{1}{n\beta}, \qquad \beta > \frac{1}{n}\]\[P = \frac{q^2 a^2}{6\pi\varepsilon_0 c^3}\]\[\Delta E = \frac{1}{2}\,\frac{C_1 C_2}{C_1 + C_2}\,(V_1 - V_2)^{2}\]\[I = I_0\cos^2\theta\]\[q v B = \frac{m v^2}{r} \;\Rightarrow\; r = \frac{m v}{q B}\]\[m g v = U I\]\[\mathcal{E} = -\frac{d\Phi_B}{dt}\]
  85. Forces & Fields Vol. 2 Pixel Sticker Sheet – 7 Physics StickersPaper products \[p_{\mathrm{Minkowski}} = \frac{n\hbar\omega}{c},\quad p_{\mathrm{Abraham}} = \frac{\hbar\omega}{n c}\]\[\omega_c^{2} = \omega_+^{2} + \omega_z^{2} + \omega_-^{2}\]\[\frac{\sin\theta_1}{v_1} = \frac{\sin\theta_2}{v_2}\]\[I_s \propto \frac{1}{\lambda^4}\]\[\sigma_T = \frac{8\pi}{3}\,r_e^{2} = 6.652\,458\,7051(62)\times10^{-29}\ \mathrm{m}^{2}\]\[G = 6.674\,30(15)\times10^{-11}\ \mathrm{m^{3}\,kg^{-1}\,s^{-2}}\]\[\alpha = \left(\frac{A-1}{A+1}\right)^2\]
  86. Fritz Zwicky Sticker – Too Fast To Be Lit | Physics StickerPaper products \[\sigma^2 \sim \frac{GM}{R}\]\[M_{\mathrm{vir}} \approx \frac{\sigma^2 R}{G}\]
  87. Galileo Galilei Sticker – Telescope. Tea. Trouble with the Church. | Physics StickerPaper products \[d = \tfrac{1}{2}g t^{2}\]\[d_1 : d_2 : d_3 : \dots = 1 : 3 : 5 : \dots\]
  88. Gamowyn – The Narrow Window Physics T-ShirtT-Shirt \[\text{rate} \propto e^{-E/kT}\, e^{-\sqrt{E_G/E}}\]\[E_0 = \left(\frac{E_G (kT)^{2}}{4}\right)^{1/3}\]\[E_G = 2\mu c^{2}(\pi\alpha Z_1 Z_2)^{2} \approx 493\ \mathrm{keV}\ (p+p)\]
  89. Glueba – Yang–Mills and the Mass Gap Physics T-ShirtT-Shirt \[\text{Prove: quantum Yang–Mills theory exists on } \mathbb{R}^{4} \text{ with mass gap } \Delta > 0\]\[\text{Lattice (no quarks): lightest glueball} \approx 1.7\ \mathrm{GeV}\]
  90. Graviton Whisper – Quantum Gravity / Force Carrier Physics T-ShirtT-Shirt \[\Box\,\bar h_{\mu\nu} = -\frac{16\pi G}{c^{4}}\,T_{\mu\nu}\]\[E = hf, \qquad m_{g} = 0 \ (\text{if it exists}),\ \ s = 2\]\[m_g \le 2.42\times10^{-23}\ \mathrm{eV}/c^{2}\quad\text{(LIGO–Virgo–KAGRA, GWTC-3, 90\% credible)}\]
  91. Gyrolla – Cyclotron Motion / Lorentz Force Physics StickerPaper products \[q v B = \frac{m v^2}{r} \;\Rightarrow\; r = \frac{m v}{q B}\]\[f_c = \frac{q B}{2\pi m}\]\[\frac{f_c}{B} \approx 15.2\ \text{MHz/T}\ (\text{proton})\]
  92. Hadron Brawler – Strong Nuclear Force / Quantum Chromodynamics Physics T-ShirtT-Shirt \[V(r) = -\frac{4}{3}\frac{\alpha_s \hbar c}{r} + \sigma r\]
  93. Harmonel, the Green-Pointer Imp MugMug \[\omega_{\text{out}} = 2\,\omega_{\text{in}} \;\Leftrightarrow\; \lambda_{\text{out}} = \frac{\lambda_{\text{in}}}{2}\]\[\frac{1064\ \text{nm}}{2} = 532\ \text{nm}\]
  94. Helia – The Hénon–Heiles System Physics T-ShirtT-Shirt \[H = \tfrac{1}{2}\left(p_x^{2} + p_y^{2}\right) + \tfrac{1}{2}\left(x^{2} + y^{2}\right) + x^{2}y - \tfrac{1}{3}y^{3}\]\[\text{saddles at } E = \tfrac{1}{6}\]
  95. Henrietta Swan Leavitt Sticker – The Blink Is the Ruler | Physics StickerPaper products \[M_V = -2.43\,(\log_{10} P - 1) - 4.05\]\[m - M = 5\log_{10}\frac{d}{10\,\mathrm{pc}}\]
  96. Hideki Yukawa Sticker – Heavy Ball. Short Game. | Physics StickerPaper products \[\begin{gathered} V(r) = -\frac{g^{2}}{4\pi}\,\frac{e^{-r/R}}{r} \\ R = \frac{\hbar}{m c} \end{gathered}\]\[\begin{aligned} R &= \frac{1}{\lambda} = 2\ \text{fm} \\ \Rightarrow\; mc^{2} &= \frac{\hbar c}{R} \approx 99\ \text{MeV} \\ &\approx 2\times10^{2}\,m_e c^{2} \end{aligned}\]
  97. Homopole – The Faraday Paradox Physics T-ShirtT-Shirt \[\mathcal{E} = \int (\mathbf{v}\times\mathbf{B})\cdot d\mathbf{r} = \tfrac{1}{2} B\,\omega R^{2}\]
  98. Ignia – The Lawson Criterion Physics T-ShirtT-Shirt \[n\,T\,\tau_E \gtrsim 3\times10^{21}\ \mathrm{keV\,s\,m^{-3}} \quad (\text{D-T ignition; lowest near } T \approx 14\ \mathrm{keV})\]\[\mathrm{D} + \mathrm{T} \rightarrow {}^{4}\mathrm{He}\ (3.5\ \mathrm{MeV}) + n\ (14.1\ \mathrm{MeV})\]
  99. Interfera – The Path Unchosen / Quantum Interference Physics T-ShirtT-Shirt \[P = \lvert\psi_1 + \psi_2\rvert^{2} = \lvert\psi_1\rvert^{2} + \lvert\psi_2\rvert^{2} + 2\,\mathrm{Re}\!\left(\psi_1^{*}\psi_2\right)\]\[\Delta y = \frac{\lambda L}{d}, \qquad \lambda = \frac{h}{p}\]
  100. Invertia – Negative Absolute Temperature / Population Inversion Physics StickerPaper products \[\frac{1}{T} = \frac{\partial S}{\partial E} < 0\]\[\frac{N_{\uparrow}}{N_{\downarrow}} = e^{-\Delta E/k_B T}\]\[T < 0 \;\Rightarrow\; N_{\uparrow} > N_{\downarrow}\]
  101. Isaac Newton Sticker – Gravity Hits Different | Physics StickerPaper products \[\vec F = \frac{d\vec p}{dt}\]\[F = \frac{G m_1 m_2}{r^{2}}\]
  102. Islandine, the Coulomb-Blockade Gatekeeper MugMug \[E_C = \frac{e^{2}}{2C} \gg k_B T\]
  103. It's All Spin Pixel Sticker Sheet – 12 Physics StickersPaper products \[t_{\mathrm{echo}} = 2\tau\]\[L = \frac{2 m_e\,\mu}{g\,e}\]\[M \propto \Omega\]\[\mu_B = \frac{e\hbar}{2m_e} = 9.274\,010\,0657(29)\times10^{-24}\ \mathrm{J/T}\]\[h = \frac{\mathbf{s}\cdot\mathbf{p}}{|\mathbf{s}|\,|\mathbf{p}|} = -1\]\[\bar n(\varepsilon) = \frac{1}{e^{(\varepsilon-\mu)/(k_B T)} - 1}\]\[\Delta B \approx \frac{\hbar}{g\,\mu_B\,\tau}\]\[F_z = \mu_z\,\frac{\partial B_z}{\partial z}\]\[\begin{aligned} R(2\pi)\,\psi &= e^{-i\,2\pi\,\hat{n}\cdot\boldsymbol{\sigma}/2}\,\psi \\ &= -\psi \end{aligned}\]\[\psi(1,2)=\frac1{\sqrt2}\bigl[\phi_a(1)\phi_b(2)-\phi_a(2)\phi_b(1)\bigr]\]\[V = -N\,\frac{\mathrm{d}\Phi}{\mathrm{d}t}\]\[L = I\omega\]
  104. James Clerk Maxwell Sticker – Field Goals Achieved | Physics StickerPaper products \[\nabla\cdot\vec E = \frac{\rho}{\varepsilon_0}, \quad \nabla\cdot\vec B = 0\]\[\nabla\times\vec E = -\frac{\partial\vec B}{\partial t}, \quad \nabla\times\vec B = \mu_0\vec J + \mu_0\varepsilon_0\frac{\partial\vec E}{\partial t}\]\[c = \frac{1}{\sqrt{\mu_0\varepsilon_0}}\]
  105. Jarza – The Jarzynski Equality Physics T-ShirtT-Shirt \[\langle e^{-\beta W}\rangle = e^{-\beta\Delta F}, \qquad \beta = \frac{1}{k_B T}\]\[\frac{P_F(W)}{P_R(-W)} = e^{\beta(W - \Delta F)}\]
  106. Jetlagga – Clocks Around the World 1971 Physics T-ShirtT-Shirt \[\text{Eastward: observed } -59 \pm 10\ \mathrm{ns}, \quad \text{predicted } -40 \pm 23\ \mathrm{ns}\]\[\text{Westward: observed } +273 \pm 7\ \mathrm{ns}, \quad \text{predicted } +275 \pm 21\ \mathrm{ns}\]
  107. Jocelyn Bell Burnell Sticker – She Found Pulsars. They Gave Her Silence. | Physics StickerPaper products \[\bar\rho \gtrsim \frac{3\pi}{G P^{2}}\]\[\Delta t = \frac{e^{2}}{8\pi^{2}\varepsilon_0 m_e c}\,\mathrm{DM}\left(f_1^{-2} - f_2^{-2}\right)\]
  108. Kater's Reversible Pendulum – Plate 001 Physics PosterPoster \[g = \frac{4\pi^{2}\,(h_1 + h_2)}{T^{2}} \qquad (T_1 = T_2 = T)\]\[L = h_1 + h_2:\ \ T = 2\ \mathrm{s},\ g = 9.80665\ \mathrm{m/s^{2}} \;\Rightarrow\; L \approx 0.994\ \mathrm{m}\]
  109. Kayella – The Kaye Effect Physics T-ShirtT-Shirt \[\eta = K\,\dot{\gamma}^{\,n-1}, \qquad n < 1 \ (\text{shear-thinning})\]
  110. Kelvinor – Kelvin's Age of the Earth Physics T-ShirtT-Shirt \[t = \frac{T_0^{2}}{\pi\,\kappa\,G^{2}} \qquad (\text{cooling by conduction only})\]\[\text{Kelvin 1862: } 20\text{ to }400\ \text{million years}; \quad \text{Patterson 1956: } 4.55 \pm 0.07\ \text{billion years}\]
  111. Kibbla – Kibble Balance / The Kilogram from Planck's Constant Physics StickerPaper products \[BLI = mg \qquad (\text{weighing mode})\]\[U = BLv \qquad (\text{moving mode})\]\[m g v = U I \;\Rightarrow\; m = \frac{UI}{gv}\]
  112. Kilonova – GW170817 Neutron Star Merger Physics T-ShirtT-Shirt \[\Delta t = 1.74 \pm 0.05\ \mathrm{s}\]\[-3\times10^{-15} \le \frac{v_{gw} - c}{c} \le +7\times10^{-16}\]\[\mathcal{M} = \frac{(m_1 m_2)^{3/5}}{(m_1+m_2)^{1/5}} = 1.188^{+0.004}_{-0.002}\ M_{\odot}\]
  113. Kinessa – 8 nm per Step Physics T-ShirtT-Shirt \[W = F \times d = 6\ \mathrm{pN} \times 8\ \mathrm{nm} = 48\ \mathrm{pN\,nm}\]\[k_B T = 4.1\ \mathrm{pN\,nm}\ (298\ \mathrm{K}) \ \Rightarrow\ W \approx 12\,k_B T\]
  114. Kochenspek – The Kochen–Specker Theorem Physics T-ShirtT-Shirt \[\text{18 vectors, 9 orthogonal bases, each vector in 2 bases (4 dimensions)}\]\[9 \times 1 = 9 \ (\text{odd}) \quad \text{vs} \quad 2 \times (\text{number of vectors labelled } 1) \ (\text{even})\]
  115. Lenta – 17 Metres per Second Physics T-ShirtT-Shirt \[v_g = \frac{c}{n + \omega\,\dfrac{dn}{d\omega}}\]
  116. Lenzor – Lenz’s Law / Eddy-Current Braking Physics StickerPaper products \[\mathcal{E} = -\frac{d\Phi_B}{dt}\]\[m g = F_{\text{eddy}}(v_t) \propto \sigma\,v_t\]
  117. Levitah – Held by Sound Physics T-ShirtT-Shirt \[U = \frac{4\pi}{3}a^{3}\left[f_1\,\tfrac{1}{2}\kappa_0\langle p^{2}\rangle - f_2\,\tfrac{3}{4}\rho_0\langle v^{2}\rangle\right]\]\[\mathbf{F} = -\nabla U \qquad (a \ll \lambda)\]\[40\ \mathrm{kHz\ in\ air:}\ \lambda \approx 8.6\ \mathrm{mm},\ \text{nodes } 4.3\ \mathrm{mm}\ \text{apart}\]
  118. Libratrix – Lagrange Points / Three-Body Equilibrium Physics StickerPaper products \[r_{L2} \approx R\left(\frac{M_2}{3M_1}\right)^{1/3}\]\[r_{L2} \approx 1.5\times10^{6}\ \text{km}\]\[\frac{M_1}{M_2} > \frac{25+\sqrt{621}}{2} \approx 24.96\]
  119. Light & Optics Pixel Sticker Sheet – 12 Physics StickersPaper products \[I_s \propto \frac{1}{\lambda^4}\]\[\frac{\sin\theta_1}{v_1} = \frac{\sin\theta_2}{v_2}\]\[I = I_0\cos^2\theta\]\[\cos\theta = \frac{1}{n\beta}, \qquad \beta > \frac{1}{n}\]\[D_{\min} = 2\arcsin\!\left(n\sin 30^\circ\right) - 60^\circ\]\[n_o > n_{\mathrm{balsam}} > n_e\]\[\Delta\nu_{\mathrm{FSR}} = \frac{c}{2nL}\]\[\mathbf{F}_{\mathrm{grad}} \propto \nabla I\]\[\Delta n \propto E\]\[\lambda_{\mathrm{IR}} > \lambda_{\mathrm{red}} \approx 0.7\ \mu\mathrm{m}\]\[\Delta\alpha = \frac{2\omega D}{c}\]\[r = v\,\Delta t\]
  120. Light, Time & Relativity Pixel Sticker Sheet – 9 Physics StickersPaper products \[\Delta t = \gamma\,\tau, \qquad L = \frac{L_0}{\gamma}\]\[\frac{\Delta f}{f} \approx \frac{\Delta\Phi}{c^2} - \frac{v^2}{2c^2}\]\[\tau = 0\]\[\mathcal{E} = v B L\]\[\Delta\alpha = \frac{2\omega D}{c}\]\[\Delta t = \frac{\Delta d}{c}\]\[\theta \approx \frac{v}{c} \approx 20.5''\]\[p_{\mathrm{Minkowski}} = \frac{n\hbar\omega}{c},\quad p_{\mathrm{Abraham}} = \frac{\hbar\omega}{n c}\]\[h \approx \frac{\Delta L}{L}\]
  121. Lise Meitner Sticker – Split Happens | Physics StickerPaper products \[Q = \left(M_{\text{initial}} - M_{\text{final}}\right)c^{2}\]\[E_C = \frac{Z_1 Z_2 e^{2}}{4\pi\varepsilon_0\,d}\]
  122. Ludwig Boltzmann Sticker – There Are More Ways To Be A Mess. | Physics StickerPaper products \[S = k_B \ln W\]\[\begin{gathered} k_B = 1.380\,649\times10^{-23}\ \text{J/K} \\ (\text{exact since 2019}) \end{gathered}\]
  123. Lumidisk – Feynman's Disk Paradox Physics T-ShirtT-Shirt \[\oint \mathbf{E}\cdot d\mathbf{l} = -\frac{d\Phi_B}{dt}\]\[\mathbf{g} = \varepsilon_0\,\mathbf{E}\times\mathbf{B} = \frac{\mathbf{S}}{c^{2}}\]\[\mathbf{L}_{\text{field}} = \varepsilon_0 \int \mathbf{r}\times(\mathbf{E}\times\mathbf{B})\,dV\]
  124. Lunelock, the Tidally Locked Speaker MugMug \[P_{\text{rot}} = P_{\text{orb}}\]
  125. Magnara – Magnus Effect Physics StickerPaper products \[\mathbf{F}_M = \alpha\,\boldsymbol{\omega}\times\mathbf{v}\]\[m\dot{\mathbf{v}} = m\mathbf{g} - b\mathbf{v} + \alpha\,\boldsymbol{\omega}\times\mathbf{v}\]
  126. Magnetron Twins – Electromagnetism / Polarity Lock Physics T-ShirtT-Shirt \[U = -\frac{\mu_0}{4\pi r^{3}}\left[3(\vec m_1\cdot\hat r)(\vec m_2\cdot\hat r) - \vec m_1\cdot\vec m_2\right]\]
  127. Magnidra, the Pogson Scale Keeper MugMug \[m_1 - m_2 = -2.5 \log_{10}\!\left(\frac{F_1}{F_2}\right)\]\[\Delta m = 5 \;\Leftrightarrow\; \frac{F_1}{F_2} = 100\]
  128. Maria Goeppert Mayer Sticker – A Full Floor Is Magic. | Physics StickerPaper products \[\begin{gathered} E_N = \hbar\omega\left(N + \tfrac{3}{2}\right) \\ \begin{aligned} g_N &= (N+1)(N+2) \\ &= 2,\,6,\,12,\,\ldots \end{aligned} \\ \Rightarrow\; \text{shells close at } 2,\,8,\,20 \end{gathered}\]\[\begin{gathered} V_{\ell s} = -C(r)\,\vec\ell\cdot\vec s \\ j = \ell\pm\tfrac12,\ \text{degeneracy } 2j+1 \\ \Rightarrow\ 28,\,50,\,82,\,126 \end{gathered}\]
  129. Marie Curie Sticker – She Literally Glowed Up | Physics StickerPaper products \[N(t) = N_0 e^{-\lambda t}\]\[t_{1/2} = \frac{\ln 2}{\lambda}, \qquad A = \lambda N\]
  130. Marina Dirac – The Dirac Sea Physics T-ShirtT-Shirt \[\left(i\hbar\,\gamma^{\mu}\partial_{\mu} - mc\right)\psi = 0\]\[E = \pm\sqrt{p^{2}c^{2} + m^{2}c^{4}}\]\[2m_e c^{2} \approx 1.022\ \mathrm{MeV}\]
  131. Max Planck Sticker – He Quantized the Vibe | Physics StickerPaper products \[E = h\nu\]\[B_\nu(\nu,T) = \frac{2h\nu^{3}}{c^{2}}\,\frac{1}{e^{h\nu/(k_B T)} - 1}\]
  132. Michael Faraday Sticker – All Quiet In Here. | Physics StickerPaper products \[\oint_S \vec E\cdot d\vec A = \frac{Q_{\text{enc}}}{\varepsilon_0}\]\[\begin{gathered} \vec E_{\text{inside}} = 0 \\ (\text{empty cavity in a closed} \\ \text{conductor, electrostatic} \\ \text{equilibrium}) \end{gathered}\]
  133. Moderon – Neutron Moderation / Elastic Scattering Physics StickerPaper products \[\alpha = \left(\frac{A-1}{A+1}\right)^2\]\[\xi = 1 + \frac{\alpha\ln\alpha}{1-\alpha}\]\[n_{\text{coll}} \approx \frac{\ln(E_0/E_{\text{th}})}{\xi}\]
  134. Molassa – The Doppler Cooling Limit Physics T-ShirtT-Shirt \[k_B T_D = \frac{\hbar\Gamma}{2} \qquad (\text{two-level atom, best at } \delta = -\Gamma/2)\]\[\text{Na D2: } \Gamma = 2\pi\times9.795\ \mathrm{MHz} \ \Rightarrow\ T_D \approx 235\ \mu\mathrm{K}\]
  135. Monopola – Dirac's Monopole Physics T-ShirtT-Shirt \[e\,g = \frac{n\hbar c}{2} \qquad (\text{Gaussian units},\ n = 0, \pm1, \pm2, \dots)\]\[\mathbf{B} = \frac{g\,\hat{\mathbf{r}}}{r^{2}}, \qquad \nabla\cdot\mathbf{B} = 4\pi\rho_m \quad (\text{hypothetical})\]
  136. Mossbra – The Mössbauer Effect Physics T-ShirtT-Shirt \[E_R = \frac{E_\gamma^{2}}{2Mc^{2}}\]\[{}^{57}\mathrm{Fe}:\ E_R \approx 2.0\times10^{-3}\ \mathrm{eV}, \quad \Gamma \approx 4.6\times10^{-9}\ \mathrm{eV}\]\[\Gamma / E_\gamma \approx 3\times10^{-13}\]
  137. Muonaut – Muon Time Dilation / Length Contraction Physics StickerPaper products \[\Delta t = \gamma\,\tau, \qquad L = \frac{L_0}{\gamma}\]\[\gamma = \frac{1}{\sqrt{1 - v^2/c^2}}\]\[c\tau \approx 659\ \text{m}\]
  138. Murmura – The Whispering Gallery Physics T-ShirtT-Shirt \[2\pi R \approx m\lambda \qquad (m \text{ large})\]
  139. Navia – The $1M Fluid Problem Physics T-ShirtT-Shirt \[\rho\left(\frac{\partial \mathbf{u}}{\partial t} + (\mathbf{u}\cdot\nabla)\mathbf{u}\right) = -\nabla p + \mu\nabla^{2}\mathbf{u}\]\[\nabla\cdot\mathbf{u} = 0\]
  140. Neutrina Fade – Neutrino Ghost Matter Physics T-ShirtT-Shirt \[\cos\theta_C = \frac{1}{n\beta}\]\[P_{\nu_a\to\nu_b} = \sin^{2}(2\theta)\,\sin^{2}\!\left(\frac{\Delta m^{2}c^{4}L}{4\hbar c E}\right)\]
  141. Nickela – Electrons Diffract 1927 Physics T-ShirtT-Shirt \[d\sin\phi = \lambda, \quad d = 0.215\ \mathrm{nm} \ \Rightarrow\ \lambda = 0.165\ \mathrm{nm}\]\[\lambda = \frac{h}{\sqrt{2mE}} = 0.167\ \mathrm{nm} \qquad (E = 54\ \mathrm{eV})\]
  142. Niels Bohr Sticker – Said Nothing Clearly. Explained Everything. | Physics StickerPaper products \[\begin{gathered} E_n = -\frac{R_\infty hc}{n^{2}} \\ R_\infty hc = 13.605\,693\,122\,990\ \text{eV} \end{gathered}\]\[h\nu = E_i - E_f\]
  143. Nightglowe, the Airglow Sleepwalker MugMug \[\text{H} + \text{O}_3 \to \text{OH}(v \le 9) + \text{O}_2\]\[\text{OH}(v') \to \text{OH}(v'') + h\nu\]
  144. Nikola Tesla Sticker – AC Slays DC Pixel Art | Physics StickerPaper products \[V(t) = V_0\sin(\omega t)\]\[\frac{V_s}{V_p} = \frac{N_s}{N_p}\]\[P_{\text{loss}} = I^{2}R\]
  145. Nimbryn, the Mie-Scattering Grey Lady MugMug \[x = \frac{2\pi r}{\lambda} \gg 1 \;\Rightarrow\; Q_{\text{ext}} \to 2\]
  146. Nocturna – Olbers' Paradox Physics T-ShirtT-Shirt \[dN_{\star} \propto r^{2}\,dr, \qquad F_{\star} \propto \frac{1}{r^{2}} \ \Rightarrow\ dF_{\text{shell}} \propto dr\]\[t_0 \approx 13.8\ \text{billion years}\]
  147. Null Beacon – Cosmic Event Horizon / Causal Disconnect Physics T-ShirtT-Shirt \[d_{\text{EH}}(t) = a(t)\int_{t}^{\infty} \frac{c\,dt^{\prime}}{a(t^{\prime})}\]\[d_{\text{EH}} \to \frac{c}{H_\Lambda} \quad (\text{pure de Sitter})\]