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- Pendulum Phase Space Hoodie – SWING INSIDE, SPIN OUTSIDE | Pixelated PhysicsHoodie \[H = \frac{p^2}{2ml^2} - mgl\cos\theta\]\[E = mgl \;\text{(separatrix)}\]\[p = \pm 2ml^2\omega\cos\frac{\theta}{2},\qquad \omega = \sqrt{g/l}\]
- Pendulux – Foucault Pendulum / Earth’s Rotation Physics StickerPaper products \[\omega_{\text{prec}} = \Omega_\oplus \sin\varphi\]\[\Omega_\oplus = \frac{360^\circ}{23.93\ \text{h}}\]\[\Omega_\oplus \approx 15.04^\circ\ \text{per hour}\]
- Penrose Diagram Hoodie – ALL OF FOREVER, ON ONE PAGE | Pixelated PhysicsHoodie \[ds^2 = -\left(1-\frac{2GM}{c^2r}\right)c^2dt^2 + \frac{dr^2}{1-\frac{2GM}{c^2r}} + r^2d\Omega^2\]\[u = \arctan U,\qquad v = \arctan V\]\[UV = \left(1-\frac{r}{2M}\right)e^{r/2M}\quad (G=c=1)\]
- Photon Sphere Hoodie – EVEN LIGHT GOES AROUND | Pixelated PhysicsHoodie \[\frac{d^2u}{d\phi^2} + u = \frac{3GM}{c^2}\,u^2,\qquad u = \frac{1}{r}\]\[r_{\mathrm{ph}} = \frac{3GM}{c^2} = \tfrac{3}{2}\,r_s\]\[b_c = \frac{3\sqrt{3}\,GM}{c^2}\]
- Photonix – Photoelectric Effect Physics MugMug \[K_{\max} = hf - \phi\]
- Plasma Drift – E × B Drift Physics MugMug \[\mathbf{v}_E = \frac{\mathbf{E}\times\mathbf{B}}{B^{2}}\]\[|\mathbf{v}_E| = \frac{E}{B}\quad(\mathbf{E}\perp\mathbf{B})\]
- Plasma Drift – Ionized Gas / Plasma Physics T-ShirtT-Shirt \[\omega_p = \sqrt{\frac{n_e e^{2}}{\varepsilon_0 m_e}}\]\[\lambda_D = \sqrt{\frac{\varepsilon_0 k_B T_e}{n_e e^{2}}}\]\[\vec v_E = \frac{\vec E \times \vec B}{B^{2}}\]
- Poincaré Section Hoodie – ISLANDS IN A CHAOTIC SEA | Pixelated PhysicsHoodie \[H = \tfrac12\left(p_x^2+p_y^2\right) + \tfrac12\left(x^2+y^2\right) + x^2y - \tfrac13y^3\]\[E = \tfrac18,\qquad \text{section } x = 0,\; p_x > 0\]
- Primordix – Big Bang Nucleosynthesis / Primordial Helium Physics StickerPaper products \[Y_p \simeq \frac{2\,(n/p)}{1 + n/p}\]\[\begin{gathered} \frac{n}{p} \approx \frac{1}{7} \;\Rightarrow \\ Y_p \approx \frac{2/7}{8/7} = 0.25 \end{gathered}\]\[\left.\frac{n}{p}\right|_{\text{freeze}} \approx e^{-Q/k_B T_f}\]\[\begin{aligned} Q &= (m_n - m_p)\,c^2 \\ &= 1.293\ \text{MeV} \end{aligned}\]
- Probability Cloud Hoodie – PROBABLY HERE | Pixelated PhysicsHoodie \[\psi_{nlm}(r,\theta,\phi) = R_{nl}(r)\,Y_l^m(\theta,\phi)\]\[dP = |\psi|^2\,d^3r\]\[n=5,\; l=3,\; m=0\]
- Projectile Range Hoodie – 45 DEGREES GOES FARTHEST | Pixelated PhysicsHoodie \[R = \frac{v^2 \sin 2\theta}{g}\]\[R_{\max} = \frac{v^2}{g}\ \text{at}\ \theta = 45^\circ\]\[y_{\text{env}} = \frac{v^2}{2g} - \frac{g x^2}{2 v^2}\]
- Psykat – Schrödinger Equation Physics MugMug \[i\hbar\,\frac{\partial\Psi}{\partial t} = \hat H\,\Psi\]\[\hat H = -\frac{\hbar^{2}}{2m}\nabla^{2} + V\]\[dP = \lvert\Psi\rvert^{2}\,d^{3}r\]
- QED Vertex Tee: Alpha Near 1/137T-Shirt \[-ie\gamma^{\mu}\]\[\alpha = \frac{e^{2}}{4\pi\varepsilon_0\hbar c},\qquad \alpha^{-1} = 137.035\,999\,177(21)\ \text{(CODATA 2022)}\]\[\alpha^{-1}(m_Z) \approx 128\]
- Quantum Oscillator Hoodie – NEVER QUITE STILL | Pixelated PhysicsHoodie \[\hat H = \frac{\hat p^2}{2m} + \frac12 m\omega^2\hat x^2\]\[E_n = \left(n+\tfrac12\right)\hbar\omega\]\[\psi_n(\xi) = \frac{1}{\sqrt{2^nn!\sqrt\pi}}\,H_n(\xi)\,e^{-\xi^2/2},\quad \xi = x\sqrt{m\omega/\hbar}\]
- Quarkbinders – Quantum Chromodynamics / Strong Nuclear Force Physics T-ShirtT-Shirt \[\lvert B\rangle \propto \varepsilon_{ijk}\,\lvert q^{i} q^{j} q^{k}\rangle\]\[\alpha_s(Q^{2}) \approx \frac{12\pi}{(33 - 2n_f)\ln\!\left(Q^{2}/\Lambda_{\text{QCD}}^{2}\right)}\]
- Quavo & Lia – The Entangled Twins / Quantum Connection Physics T-ShirtT-Shirt \[\lvert\Psi^{-}\rangle = \tfrac{1}{\sqrt{2}}\left(\lvert\uparrow\downarrow\rangle - \lvert\downarrow\uparrow\rangle\right)\]\[\rho_B = \operatorname{Tr}_A\lvert\Psi^{-}\rangle\langle\Psi^{-}\rvert = \tfrac{1}{2}\mathbb{1}\]
- Qubitta – Quantum Superposition Physics MugMug \[\lvert\psi\rangle = \alpha\lvert 0\rangle + \beta\lvert 1\rangle\]\[\lvert\alpha\rvert^{2} + \lvert\beta\rvert^{2} = 1\]
- Radiatrix – Blackbody Radiation Physics MugMug \[\begin{aligned} B_\nu(\nu,T) &= \frac{2h\nu^{3}}{c^{2}} \\ &\quad\times\frac{1}{e^{h\nu/(k_B T)} - 1} \end{aligned}\]\[\lambda_{\max}\,T = b\]\[b \approx 2.898\times10^{-3}\ \text{m K}\]
- Reflexia – The Nonlocal Mirror / Quantum Nonlocality Physics T-ShirtT-Shirt \[S = E(a,b) - E(a,b^{\prime}) + E(a^{\prime},b) + E(a^{\prime},b^{\prime})\]\[\lvert S\rvert \le 2 \ (\text{local}), \qquad \lvert S\rvert \le 2\sqrt{2} \ (\text{quantum})\]\[E(a,b) = -\cos(\theta_a - \theta_b) \ (\text{singlet})\]
- Refracta – Fermat’s Principle / Snell’s Law Physics StickerPaper products \[\frac{\sin\theta_1}{v_1} = \frac{\sin\theta_2}{v_2}\]\[n_1\sin\theta_1 = n_2\sin\theta_2,\qquad n = c/v\]\[\delta\!\int n\,ds = 0\]
- Refracta – Snell’s Law Physics MugMug \[n_1\sin\theta_1 = n_2\sin\theta_2\]\[n = \frac{c}{v}\]
- Relicta – Cosmic Microwave Background / Relic Blackbody Physics StickerPaper products \[T(z) = T_0\,(1+z)\]\[T_0 = 2.72548\ \text{K}\]\[B_\nu(T) = \frac{2h\nu^3}{c^2}\,\frac{1}{e^{h\nu/k_B T}-1}\]\[\nu_{\text{peak}} \approx 160\ \text{GHz}\]
- Revolvix – Spinor Rotation / The 720° Return Physics StickerPaper products \[\begin{aligned} R(2\pi)\,\psi &= e^{-i\,2\pi\,\hat{n}\cdot\boldsymbol{\sigma}/2}\,\psi \\ &= -\psi \end{aligned}\]\[R(4\pi)\,\psi = +\psi\]
- Richard Feynman Sticker – Quantum? It’s Complicated. | Physics StickerPaper products \[K(b,a) = \sum_{\text{paths}} e^{iS[x(t)]/\hbar}\]\[P = \left\lvert\sum_k \phi_k\right\rvert^{2}\]
- Rotation Curve Hoodie – THE EDGES SPIN TOO FAST | Pixelated PhysicsHoodie \[v^2(r) = \frac{G\,M(<r)}{r}\]\[v^2 = v_{\mathrm{disk}}^2 + v_{\mathrm{halo}}^2\]\[v_{\mathrm{disk}}^2 = 4\pi G\Sigma_0R_d\,y^2\left[I_0K_0 - I_1K_1\right](y),\quad y = \frac{r}{2R_d}\]
- Saltara – Hydraulic Jump / Froude Number Physics StickerPaper products \[\mathrm{Fr} = \frac{v}{\sqrt{g h}}\]\[\frac{h_2}{h_1} = \frac{1}{2}\left(\sqrt{1 + 8\,\mathrm{Fr}_1^2} - 1\right)\]
- Satyendra Nath Bose Sticker – Particle Guy. Major Stats. | Physics StickerPaper products \[\bar n(\varepsilon) = \frac{1}{e^{(\varepsilon-\mu)/(k_B T)} - 1}\]
- Scatterina – Rayleigh Scattering / Why the Sky Is Blue Physics StickerPaper products \[I_s \propto \frac{1}{\lambda^4}\]\[\frac{I_s(450\,\mathrm{nm})}{I_s(700\,\mathrm{nm})} = \left(\frac{700}{450}\right)^4 \approx 5.9\]
- Schrödy – Schrödinger’s Cat / Quantum Superposition Physics T-ShirtT-Shirt \[\begin{aligned} \lvert\Psi\rangle = \tfrac{1}{\sqrt{2}}\bigl(&\lvert \text{undecayed}\rangle\lvert \text{alive}\rangle \\ {}+{} &\lvert \text{decayed}\rangle\lvert \text{dead}\rangle\bigr) \end{aligned}\]\[P(\text{alive}) = \left\lvert \langle \text{undecayed},\text{alive} \vert \Psi\rangle \right\rvert^{2} = \tfrac{1}{2}\]
- Soliton Hoodie – THEY PASS THROUGH UNHARMED | Pixelated PhysicsHoodie \[u_t + 6uu_x + u_{xxx} = 0\]\[u = 2\,\partial_x^2\ln F\]\[F = 1 + e^{\eta_1} + e^{\eta_2} + A\,e^{\eta_1+\eta_2},\quad \eta_i = k_ix - k_i^3t + \delta_i,\quad A = \left(\frac{k_1-k_2}{k_1+k_2}\right)^2\]
- Sortex – Maxwell’s Demon / Landauer Erasure Physics StickerPaper products \[Q_{\text{erase}} \ge k_B T \ln 2\]\[k_B T \ln 2 \approx 2.87\times10^{-21}\ \text{J}\]\[(T = 300\ \text{K, per bit})\]
- Spaghetta – Black Hole Physics / Spaghettification Stretch Physics T-ShirtT-Shirt \[\Delta a \approx \frac{2GM\,L}{r^{3}}\]\[r_s = \frac{2GM}{c^{2}}\]
- Spaghetta – Spaghettification Physics MugMug \[\Delta a \approx \frac{2GML}{r^{3}}\]\[r_s = \frac{2GM}{c^{2}} \;\Rightarrow\; \Delta a(r_s) = \frac{c^{6}L}{4G^{2}M^{2}}\]
- Spinwell – Angular Momentum Physics StickerPaper products \[L = I\omega\]\[I_1\omega_1 = I_2\omega_2\quad(\tau=0)\]
- Springald – Hooke’s Law Physics MugMug \[F = -k\,x\]\[U = \tfrac{1}{2}k\,x^{2}\]
- Stairohm – Quantum Hall Effect / Resistance Plateaus Physics StickerPaper products \[\begin{gathered} R_{xy} = \frac{h}{\nu e^2} = \frac{R_K}{\nu} \\ \nu = 1, 2, 3, \ldots \end{gathered}\]\[\begin{aligned} R_K &= \frac{h}{e^2} \\ &= 25\,812.807\,45\ldots\ \Omega \end{aligned}\]\[R_{xx} = 0\ \text{on a plateau}\]
- Stellar Core – Nuclear Fusion Physics T-ShirtT-Shirt \[4\,{}^{1}\mathrm{H} \to {}^{4}\mathrm{He} + 2e^{+} + 2\nu_e\]\[Q = \left(4m_p + 2m_e - m_\alpha\right)c^{2} \approx 26.73\ \text{MeV}\]
- Stephen Hawking Sticker – Black Holes? Been There, Bent That. | Physics StickerPaper products \[T_H = \frac{\hbar c^{3}}{8\pi G M k_B}\]\[S_{BH} = \frac{k_B c^{3} A}{4G\hbar}\]
- Strange Attractor Hoodie – NEVER THE SAME LOOP TWICE | Pixelated PhysicsHoodie \[\dot{x} = \sigma(y-x)\]\[\dot{y} = x(\rho-z) - y\]\[\dot{z} = xy - \beta z\]\[\sigma = 10,\; \rho = 28,\; \beta = 8/3\]
- Subrahmanyan Chandrasekhar Sticker – No Seconds. | Physics StickerPaper products \[\begin{aligned} M_{\text{Ch}} &= \frac{\omega_3^{0}\sqrt{3\pi}}{2}\left(\frac{\hbar c}{G}\right)^{3/2} \\ &\quad\times\frac{1}{(\mu_e m_H)^{2}} \\ &\approx \frac{5.73}{\mu_e^{2}}\,M_\odot \end{aligned}\]\[\begin{gathered} \mu_e = 2\ (\text{carbon/oxygen}) \\ \Rightarrow\; M_{\text{Ch}} \approx 1.43\,M_\odot \\ (\text{usually quoted as } 1.44) \end{gathered}\]\[\begin{gathered} \mu_e = 2.5\ (\text{assumed in 1931}) \\ \Rightarrow\; M_{\text{Ch}} \approx 0.91\,M_\odot \end{gathered}\]
- Superfluid – Quantised Vortices Physics MugMug \[\oint \mathbf{v}_s\cdot d\boldsymbol{\ell} = n\,\frac{h}{m_4}\]\[\frac{h}{m_4} \approx 9.97\times10^{-8}\ \text{m}^{2}/\text{s}\]\[v_c = \min_p \frac{\varepsilon(p)}{p}\quad\text{(Landau)}\]
- Superfluid – Quantum Fluid at Near Absolute Zero Physics T-ShirtT-Shirt \[v_c = \min_{p}\frac{\varepsilon(p)}{p}\]\[\oint \vec v_s\cdot d\vec\ell = n\,\frac{h}{m_4}\]
- Terminara – Terminal Velocity Physics StickerPaper products \[m\frac{dv}{dt} = mg - \tfrac12\rho C_d A\,v^2\]\[v_t = \sqrt{\frac{2mg}{\rho C_d A}}\]\[v(t) = v_t\tanh\!\left(\frac{g t}{v_t}\right)\]
- The Accelerant – Unruh Effect Physics MugMug \[T = \frac{\hbar a}{2\pi c k_B}\]\[T \approx 4.06\times10^{-21}\ \text{K}\times\frac{a}{1\ \text{m s}^{-2}}\]\[a = 10^{20}\ \text{m/s}^{2} \;\Rightarrow\; T \approx 0.4\ \text{K}\]
- The Condensate Queen – Bose-Einstein Condensate Physics MugMug \[n\lambda_{dB}^{3} \approx 2.612\]\[\lambda_{dB} = \frac{h}{\sqrt{2\pi m k_B T}}\]\[n\lambda_{dB}^{3} = \zeta(3/2) \approx 2.612\quad\text{(ideal gas onset)}\]
- The Fine Print Sticker Sheet – Noether, Raman, Goeppert Mayer & Yukawa | 9 Pixel Art StickersPaper products \[\begin{gathered} Q = \sum_i \frac{\partial L}{\partial \dot q_i}\,\delta q_i \\ \delta L = 0 \;\Rightarrow\; \frac{dQ}{dt} = 0 \end{gathered}\]\[\begin{gathered} h\nu_s = h\nu_0 \mp h\nu_{\text{vib}} \\ (\text{Stokes, anti-Stokes}) \end{gathered}\]\[\begin{gathered} E_N = \hbar\omega\left(N + \tfrac{3}{2}\right) \\ g_N = (N+1)(N+2) \end{gathered}\]\[\begin{gathered} V_{\ell s} = -C(r)\,\vec\ell\cdot\vec s \\ \Rightarrow\; \text{magic numbers} \\ 2,\,8,\,20,\,28,\,50,\,82,\,126 \end{gathered}\]\[\begin{gathered} V(r) = -\frac{g^{2}}{4\pi}\,\frac{e^{-r/R}}{r} \\ R = \frac{\hbar}{m c} \end{gathered}\]
- The Limit Keeper – Chandrasekhar Limit Physics MugMug \[M_{Ch} \approx \frac{5.8\,M_\odot}{\mu_e^{2}}\]\[M_{Ch} = \frac{\omega_3^{0}\sqrt{3\pi}}{2}\,\left(\frac{\hbar c}{G}\right)^{3/2}\frac{1}{(\mu_e m_H)^{2}}\]\[M_{Ch} \approx 1.4\,M_\odot\quad(\mu_e = 2)\]
- The Physicists Sticker Sheet – Newton, Curie, Tesla, Feynman & Hawking | 5 Pixel Art StickersPaper products \[\vec F = \frac{d\vec p}{dt}\]\[F = \frac{G m_1 m_2}{r^{2}}\]\[N(t) = N_0 e^{-\lambda t}\]\[t_{1/2} = \frac{\ln 2}{\lambda}\]\[\frac{V_s}{V_p} = \frac{N_s}{N_p}\]\[K(b,a) = \sum_{\text{paths}} e^{iS[x(t)]/\hbar}\]\[T_H = \frac{\hbar c^{3}}{8\pi G M k_B}\]
- The Silence Beyond – Cosmic Horizon / Observable Limit Physics T-ShirtT-Shirt \[d_{p}(t_0) = a(t_0)\int_{0}^{t_0}\frac{c\,dt}{a(t)}\]
- The Spark Herald – Electromagnetism / Lightning Command Physics T-ShirtT-Shirt \[\nabla\cdot\vec E = \frac{\rho}{\varepsilon_0}\]\[\nabla\cdot\vec B = 0\]\[\nabla\times\vec E = -\frac{\partial\vec B}{\partial t}\]\[\nabla\times\vec B = \mu_0\vec J + \mu_0\varepsilon_0\frac{\partial\vec E}{\partial t}\]\[c = \frac{1}{\sqrt{\mu_0\varepsilon_0}}\]\[\vec S = \frac{1}{\mu_0}\,\vec E\times\vec B\]
- Thermal Mirage – Heat Refraction / Optical Distortion Physics T-ShirtT-Shirt \[n\cos\alpha = \text{constant}\quad\text{(stratified air)}\]\[n - 1 = K\rho \propto \frac{p}{T},\qquad n - 1 \approx 2.9\times10^{-4}\ \text{at STP}\]\[\alpha_{\max} \approx \sqrt{2\,\Delta n} \approx 0.4^{\circ}\ \text{for}\ \Delta T \approx 30\ \mathrm{K}\]
- Thermal Mirage – Heat Refraction Physics MugMug \[n\cos\alpha = \text{constant}\]\[n - 1 = K\rho\]\[\alpha_{max} \approx \sqrt{2\,\Delta n}\]
- Theta Warden – Strong CP Problem Physics T-ShirtT-Shirt \[\mathcal{L}_\theta = \bar\theta\,\frac{g_s^{2}}{32\pi^{2}}\,G^{a}_{\mu\nu}\tilde G^{a\,\mu\nu}\]\[\bar\theta = \theta - \arg\det M_q\]\[d_n \sim 10^{-16}\,\bar\theta\ e\,\text{cm}\]
- Tokamak Hoodie – NESTED, NEVER TOUCHING | Pixelated PhysicsHoodie \[\Delta^*\psi = -\mu_0R^2\frac{dp}{d\psi} - F\frac{dF}{d\psi}\]\[\psi = \frac{R^2Z^2}{E^2} + \frac{(R^2-R_0^2)^2}{4}\]\[\Delta^* = R\frac{\partial}{\partial R}\frac{1}{R}\frac{\partial}{\partial R} + \frac{\partial^2}{\partial Z^2}\]
- Umbrar – Dark Matter Physics MugMug \[v(r) = \sqrt{\frac{G\,M(r)}{r}}\]\[v \approx \text{const} \;\Rightarrow\; M(r) \propto r\]
- Unruh Effect TeeT-Shirt \[T = \frac{\hbar a}{2\pi c k_B} \approx 4.06\times10^{-21}\ \mathrm{K}\times\frac{a}{1\ \mathrm{m\,s^{-2}}}\]\[x^{2} - c^{2}t^{2} = \left(\frac{c^{2}}{a}\right)^{2}\]
- Vera Rubin Sticker – Galaxy Rotation? She Saw the Dark Side. | Physics StickerPaper products \[v(r)^{2} = \frac{G M(r)}{r}\]\[v(r) \approx \text{const} \;\Rightarrow\; M(r) \propto r\]
- Vevette – Higgs Field / Vacuum Expectation Value Physics StickerPaper products \[V(\phi) = -\mu^2|\phi|^2 + \lambda|\phi|^4\]\[\begin{gathered} \langle\phi\rangle = \frac{v}{\sqrt{2}} \\ v = (\sqrt{2}\,G_F)^{-1/2} \end{gathered}\]\[v \approx 246\ \text{GeV}\]\[m_f = \frac{y_f\,v}{\sqrt{2}}\]
- Void Whisperer – Dark Energy Expansion Physics T-ShirtT-Shirt \[\rho_\Lambda = \frac{\Lambda c^{2}}{8\pi G} \approx 6\times10^{-27}\ \mathrm{kg\,m^{-3}} \approx (2.2\ \mathrm{meV})^{4}\quad(\hbar = c = 1)\]\[\Lambda = \frac{3\,\Omega_\Lambda H_0^{2}}{c^{2}} \approx 1.1\times10^{-52}\ \mathrm{m^{-2}},\qquad w = \frac{p}{\rho c^{2}} = -1\]\[\rho_{\mathrm{vac}}^{\mathrm{naive}} \sim \bar M_{\mathrm{Pl}}^{4} \sim 10^{73}\ \mathrm{GeV^{4}}\quad\text{vs}\quad \rho_\Lambda \sim 10^{-47}\ \mathrm{GeV^{4}}\]
- Vortessa – Kármán Vortex Street / Strouhal Shedding Physics StickerPaper products \[f = \mathrm{St}\,\frac{U}{D}, \qquad \mathrm{St} \approx 0.2\]\[\mathrm{Re} = \frac{U D}{\nu}\]\[\frac{h}{a} \approx 0.281\]
- W-ZED – Weak Nuclear Force / Boson Carrier Physics T-ShirtT-Shirt \[M_W = M_Z\cos\theta_W \quad (\text{tree level})\]\[\frac{G_F}{\sqrt{2}} = \frac{g^{2}}{8M_W^{2}} \quad (\hbar = c = 1)\]\[R \sim \frac{\hbar}{M_W c} \approx 2.5\times10^{-18}\ \text{m}\]
- Wakewing – Kelvin Wake Physics MugMug \[\sin\theta_K = \frac{1}{3}\]\[\theta_K = \arcsin\frac{1}{3} \approx 19.47^\circ\]\[\omega^{2} = g\,k\]\[c_g = \frac{d\omega}{dk} = \frac{1}{2}\,c_p\]
- Wave Packet Hoodie – PRECISE NOW, VAGUE LATER | Pixelated PhysicsHoodie \[i\hbar\frac{\partial\psi}{\partial t} = -\frac{\hbar^2}{2m}\frac{\partial^2\psi}{\partial x^2}\]\[\sigma(t)^2 = \sigma_0^2 + \left(\frac{\hbar t}{2m\sigma_0}\right)^2\]\[v_g = \frac{\hbar k_0}{m}\]
- Wolfgang Pauli Sticker – One Per State | Physics StickerPaper products \[\psi(1,2)=\frac1{\sqrt2}\bigl[\phi_a(1)\phi_b(2)-\phi_a(2)\phi_b(1)\bigr]\]\[\psi\equiv 0\quad\text{when }a=b\]
- Zeno – Quantum Zeno Effect / The Observer Physics T-ShirtT-Shirt \[P_{\text{stay}}(t) \approx 1 - \left(\frac{t}{\tau_Z}\right)^{2}, \qquad \tau_Z = \frac{\hbar}{\Delta H}\]\[P_{1\to 2}(n) = \tfrac{1}{2}\left[1 - \cos^{n}\!\left(\tfrac{\pi}{n}\right)\right]\]
- Zeno – Quantum Zeno Effect Physics MugMug \[P_{stay}(t) \approx 1 - \left(\frac{t}{\tau_Z}\right)^{2}\]\[\tau_Z = \frac{\hbar}{\Delta H}\quad\text{(short times)}\]\[P_{1\to2}(n) = \tfrac{1}{2}\left[1-\cos^{n}(\pi/n)\right]\]
- Zone Plate Hoodie – FOCUS BY SUBTRACTION | Pixelated PhysicsHoodie \[r_n^2 = n\lambda f + \tfrac{n^2\lambda^2}{4}\]\[\sqrt{f^2+r_n^2}-f = \tfrac{n\lambda}{2}\]
- Δ-X – The Heisenberg Runner / Uncertainty Principle Physics T-ShirtT-Shirt \[\sigma_x\,\sigma_k \ge \tfrac{1}{2}, \qquad p = \hbar k \;\Rightarrow\; \sigma_x\sigma_p \ge \tfrac{\hbar}{2}\]