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Prompt by Morgue

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6 months ago

Create a high-impact, futuristic logo for the brand "PromptHero", preserving the following visual structure: Central Symbol: Design a stylized, heroic silhouette emerging from a digital vortex or burst of data shards. The figure should be humanoid but abstract, with tech-inspired detailing such as embedded circuits, etched lines, or subtle neon seams along the limbs and chest — symbolizing the fusion of human creativity and AI power. The data vortex behind or around the figure should appear like fragmented code or holographic layers, evoking dynamic intelligence and innovation. Typography: The brand name must be written exactly as “PromptHero” — with capital “P” and “H”, the rest lowercase. Use an elegant, futuristic serif or a tech-luxury hybrid font. Apply a reflective metallic finish (chrome or brushed silver), with subtle teal or electric blue glows or accents (e.g. a glowing dot on the “o” or a pulse effect near “Hero”) to convey innovation and digital sophistication. Tagline: “Fueling Creativity. Amplifying Intelligence.” Position directly beneath the brand name in a clean, smaller font. Match the metallic gradient and apply the same color accents to maintain cohesion. Background: Use a dark slate or matte black background with possible faint geometric patterns or circuitry etched into the backdrop to add depth and contrast — making the metallic elements and glow effects stand out. Overall Feel: Premium, bold, and visionary. Avoid generic AI symbols, mascots, or cartoon-like elements. Focus on a sleek, custom, and ownable design language that reflects cutting-edge creativity and power. Optional Prompt Strength Tips (if supported): Aspect ratio: 1:1 or 4:3 Style: Chrome vector / high-gloss / futuristic digital Negative prompts: No standard icons, no fuzzy gradients, no mascots, no comic-style visuals

JamesPH PRO
1 170

10 days ago

We consider the action $S_{\phi q}$ involving only $\phi_{\mu\nu}$ and quark fields $q(x)$ in general frames with Poincar\'e metric tensor $P_{\mu\nu}$: \be S_{\phi q} = \int (L_{\phi q} + L_{gf})d^4 x, \ee %%%%%%%%15%%%%22%%%%%24%%%22%%%19 \be L_{gf}=\frac{1}{2g^2}\e_{\a\b}\left[\p_\mu J^{\mu\a} - \frac{1}{2}\e^{\a\ld}\p_{\ld} J^\mu_\mu\right] \left[\p_\nu J^{\nu\b} - \frac{1}{2}\e^{\b\ld}\p_{\ld} J^\nu_\nu\right], \ee %%%%16%%%%%%%23%%%%%25%%%23%%%%20 where $L_{\phi q}$ is given in (7) with the $T(4)$ gauge curvature $C_{\mu\nu\a}$ given by (5). We have included a gauge-fixing term $L_{gf}$ specified by (20) involving ordinary partial derivative to break the $T(4)$ gauge symmetry so that the solution of gauge field equation is well-defined. The reason for including $L_{gf}$ is that field equations with gauge symmetry are known to be not well defined in general and that it is a nuisance to find explicit solutions of such field equations without having a gauge-fixing term. The quark fields play the source for producing a gravitational potential field $\phi_{\mu\nu}$. The $T(4)$ gravitational field equation for symmetric tensor field, $\phi_{\mu\nu}=\phi_{\nu\mu}$ can be derived from (19), \be H^{\mu\nu} + A^{\mu\nu}= \frac{g^2}{2} Sym \ \left[ \overline{q} i\G^\mu D^\nu q - i(D^\nu \overline{q}) \G^\mu q \right]\equiv g^2 T^{\mu\nu} , \ee %%%%%26%%%17%%%%%%%%%24%%%%%%26%%%24%21 $$ H^{\mu\nu} = Sym \left[D_\ld (J^{\ld}_\rho C^{\rho\mu\nu} - J^\ld_\a C^{\a\b}_{ \ \ \ \b}P^{\mu\nu} + C^{\mu\b}_{ \ \ \ \b} J^{\nu\ld}) \right. $$ %%%%%%%%%%%%%%%%%%%%%%%%20%%% \be \left. - C^{\mu\a\b}D^\nu J_{\a\b} + C^{\mu\b}_{ \ \ \ \b} D^\nu J^\a_\a - C^{\ld \b}_{ \ \ \ \b}D^\nu J^\mu _\ld\right], \ee %%%%%%%27 %%%%%%%%%%18%%%%%%%%%25%%%27%%%%25%%522 \be A^{\mu\nu} =Sym \left[ \p^\mu \left(\p^\ld J_\ld{^\nu} - \frac{1}{2} \p^\nu J \right) - \frac{\e^{\mu\nu}}{2} \left(\p^\a \p^\ld J_{\ld\a} - \frac{1}{2} \p^\a \p_\a J \right)\right], \ee %%%19%%%%%%%%%%26%%%%%%%%28%%%%%26%%%523 where $D_{\mu}q=\p_{\mu}q$ and $J= J^\ld_\ld$. The symbol `Sym' in Eqs. (21)-(23) denotes that $\mu$ and $\nu$ should be made symmetric.

620ba102fd7
0 17