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Prompt by Adifcf

25 Stable Diffusion prompts

very few results

9 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

9 months ago

A fine art, hyper-realistic, cinematic image of a man wearing a white long cotton robe with a sash, with his back to me walking forward into the bright light of heaven. His form is ethereal and translucent, fading into the mist that surrounds him, his body partially visible but soft and hazy, as though he is only barely present in this world. The volumetric light gently illuminates his from behind, casting soft, delicate shadows across his figure and adding depth to the mist that seems to both surround and blend into him. Soft barely visible golden light in background. he is in the center only 25% of the total picture. The mist swirls around him, caressing his body, obscuring parts of body while leaving other parts faintly visible otherworldly feeling. The setting is a dreamlike, white light void, The ground beneath him is indistinct, as though the mist itself is the floor, with floating particles glinting softly in the ethereal light. The lighting is soft and diffused, with beams of light cutting through the mist, creating a sense of depth and atmosphere. The man's form is highlighted by this light, her figure partially illuminated while the rest fades into the mist, emphasizing his delicate, ghostly presence. Key Elements with Weights: (Fine art, hyper-realistic, cinematic lighting:1.5) (Volumetric light, swirling mist:1.5) (Ghostly form fading into the mist:1.5) (Floating particles, soft glow:1.3) (Film grain, photorealistic textures:1.3) (Dreamlike, mystical atmosphere:1.5)

0104119337e
0 50

9 months ago

A fine art, hyper-realistic, cinematic image of a man wearing a white long cotton robe with a white sash, with his back to me as he is walking forward into the bright light of heaven. His form is ethereal and translucent, fading into the mist that surrounds him, his body partially visible but soft and hazy, as though he is only barely present in this world. The volumetric light gently illuminates his from behind, casting soft, delicate shadows across his figure and adding depth to the mist that seems to both surround and blend into him. Soft barely visible golden light in background. he is in the center only 25% of the total picture. The mist swirls around him, caressing his body, obscuring parts of body while leaving other parts faintly visible otherworldly feeling. The setting is a dreamlike, white light void, The ground beneath him is indistinct, as though the mist itself is the floor, with floating particles glinting softly in the ethereal light. The lighting is soft and diffused, with beams of light cutting through the mist, creating a sense of depth and atmosphere. The man's form is highlighted by this light, her figure partially illuminated while the rest fades into the mist, emphasizing his delicate, ghostly presence. Key Elements with Weights: (Fine art, hyper-realistic, cinematic lighting:1.5) (Volumetric light, swirling mist:1.5) (Ghostly form fading into the mist:1.5) (Floating particles, soft glow:1.3) (Film grain, photorealistic textures:1.3) (Dreamlike, mystical atmosphere:1.5)

0104119337e
0 35