embedding function of spacetime inside a planet of radius nil with Schwarzschild mass nil :
${z} = {{{\sqrt{{\frac{1}{rs}} {{R}^{3}}}}} {{\left({{1}{-{\sqrt{{1}{-{\frac{{{rs}} \cdot {{{r}^{2}}}}{{R}^{3}}}}}}}}\right)}}}$
embedding function of spacetime outside the planet:
${z} = {{{{\sqrt{{\frac{1}{rs}} {{R}^{3}}}}} {{\left({{1}{-{\sqrt{{1}{-{{\frac{1}{R}} {rs}}}}}}}\right)}}} + {\sqrt{{{4}} {{rs}} \cdot {{\left({{r}{-{rs}}}\right)}}}}{-{\sqrt{{{4}} {{rs}} \cdot {{\left({{R}{-{rs}}}\right)}}}}}}$
combined:
${z} = {{{{\mathcal{H}\left( {{R}{-{r}}}\right)}} {{\sqrt{{\frac{1}{rs}} {{R}^{3}}}}} {{\left({{1}{-{\sqrt{{1}{-{\frac{{{rs}} \cdot {{{r}^{2}}}}{{R}^{3}}}}}}}}\right)}}} + {{{\mathcal{H}\left( {{r}{-{R}}{-{\epsilon}}}\right)}} {{\left({{{{\sqrt{{\frac{1}{rs}} {{R}^{3}}}}} {{\left({{1}{-{\sqrt{{1}{-{{\frac{1}{R}} {rs}}}}}}}\right)}}} + {\sqrt{{{4}} {{rs}} \cdot {{\left({{r}{-{rs}}}\right)}}}}{-{\sqrt{{{4}} {{rs}} \cdot {{\left({{R}{-{rs}}}\right)}}}}}}\right)}}}}$

earth radius = ${{6371000}} {{m}}$
earth mass = ${{0.0044345972543955}} {{m}}$
earth embedding radius = ${{170753383446.42}} {{m}}$
earth embedding radius to physical radius ratio = $26801.661190773$
earth schwarzschild radius = ${{0.0088691945087909}} {{m}}$
earth photon sphere radius = ${{0.013303791763186}} {{m}}$


sun radius = ${{695500000}} {{m}}$
sun mass = ${{1476.9614767235}} {{m}}$
sun embedding radius = ${{337478507473.45}} {{m}}$
sun embedding radius to physical radius ratio = $485.23149888346$
sun schwarzschild radius = ${{2953.9229534469}} {{m}}$
sun photon sphere radius = ${{4430.8844301704}} {{m}}$


psr_J1614_2230 radius = ${{1.8729\cdot{10^{-05}}}} \cdot {{695500000}} {{m}}$
psr_J1614_2230 mass = ${{2909.6141091452}} {{m}}$
psr_J1614_2230 embedding radius = ${{19488.790682429}} {{m}}$
psr_J1614_2230 embedding radius to physical radius ratio = $1.4961432141591$
psr_J1614_2230 schwarzschild radius = ${{5819.2282182905}} {{m}}$
psr_J1614_2230 photon sphere radius = ${{8728.8423274357}} {{m}}$


electron radius = ${{1.3807\cdot{10^{-36}}}} {{m}}$
electron mass = ${{6.7640231731896\cdot{10^{-58}}}} {{m}}$
electron embedding radius = ${{4.4109430036594\cdot{10^{-26}}}} {{m}}$
electron embedding radius to physical radius ratio = $31947150022.883$
electron schwarzschild radius = ${{1.3528046346379\cdot{10^{-57}}}} {{m}}$
electron photon sphere radius = ${{2.0292069519569\cdot{10^{-57}}}} {{m}}$


sgtastar radius = ${{52}} \cdot {{1\cdot{10^{-09}}}} \cdot {{3.1\cdot{10^{16}}}} {{m}}$
sgtastar mass = ${{59078459.068939}} {{m}}$
sgtastar embedding radius = ${{5954125423.1507}} {{m}}$
sgtastar embedding radius to physical radius ratio = $3.6936261930215$
sgtastar schwarzschild radius = ${{118156918.13788}} {{m}}$
sgtastar photon sphere radius = ${{177235377.20682}} {{m}}$


human radius = ${{0.86}} {{m}}$
human mass = ${{5.9405187600743\cdot{10^{-26}}}} {{m}}$
human embedding radius = ${{2313771637719.9}} {{m}}$
human embedding radius to physical radius ratio = $2690432136883.6$
human schwarzschild radius = ${{1.1881037520149\cdot{10^{-25}}}} {{m}}$
human photon sphere radius = ${{1.7821556280223\cdot{10^{-25}}}} {{m}}$