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== Modification Ideas == | == Modification Ideas == | ||
<div style="font-weight:bold;line-height:1.6;">What should be in and what should be out of the future wall?</div> | |||
<div class="mw-collapsible-content"> | |||
{| class="wikitable sortable" | |||
|- | |||
! Item !!In !! Out !! Maybe !! Why? | |||
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| ''Klein-Gordon equation:''' $$\frac{1}{c^2} \frac{\partial^2}{\partial t^2} \psi - \nabla^2 \psi + \frac{m^2 c^2}{\hbar^2} \psi = 0$$||✓ || || || | |||
|- | |||
| Lorenz Attractor || || ✓ || || | |||
|- | |||
|[https://en.wikipedia.org/wiki/Higgs_boson Higgs Boson] $$V(\phi) = \mu^2\phi^\dagger\phi + \lambda(\phi^\dagger\phi)^2$$ ||✓ || || || | |||
|- | |||
|[https://en.wikipedia.org/wiki/Curvature_form#Bianchi_identities Bianchi identities First identity] $$D\Theta = \Omega \wedge \theta$$ Second identity: $$D \Omega = 0$$ || ✓ || |||| | |||
|- | |||
|Non relativistic Schrödingers equation || || ✓ |||| | |||
|- | |||
|'''Cosmological ‘constant’''' added to [https://theportal.wiki/wiki/Einstein%27s_General_Relativity_equation Einstein field equations]|| ✓ || || || | |||
|- | |||
|[[Babylonian computation of the square root of 2]] || || ✓ || || | |||
|- | |||
|'''[https://en.wikipedia.org/wiki/Borel%E2%80%93Weil%E2%80%93Bott_theorem Borel–Weil–Bott theorem]'''|| ✓ || |||| | |||
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|Equiangular spiral drawn in "golden" rectangle (side ratio = golden mean g), ratio of consecutive [[Fibonacci numbers]]...|| || ✓ || || | |||
|- | |||
| Singer becomes Atiyah Patodi Singer|| ✓ || || || | |||
|- | |||
|Einstien GR eqn || || ||✓ || | |||
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|Schrodinger eqn || || ||✓ || | |||
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|dirac eqn || || ||✓ || | |||
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|Atiyah-singer-theorem || || ||✓ || | |||
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|Yang Mills eqns || || ||✓ || | |||
|- | |||
| Einstein mass-energy relation || || ||✓ || | |||
|- | |||
|Maxwell’s eqns || || ||✓ || | |||
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|Stoke’s thm || || ||✓ || | |||
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|Heisenberg uncertainty relation || || ||✓ || | |||
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| associtivity in QFT || || ||✓ || | |||
|- | |||
| Yang Baxter eqn || || ||✓ || | |||
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| diagram for black hole || || ||✓ || | |||
|- | |||
|cell decomposition torus, gauss-bonnett || || ||✓ || | |||
|- | |||
| aharonov bohm effect || || ||✓ || | |||
|- | |||
|supergrav lagrangian, E8 root diagram || || ||✓ || | |||
|- | |||
|Kepler’s 2nd law || || ✓ || || | |||
|- | |||
|Newtons force-accel || || ✓ || || | |||
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|kepler’s 3rd || || ✓ || || | |||
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|newton’s grav || || ✓ || || | |||
|- | |||
|defining relation supersymmetry || || ✓ || || | |||
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|the boundary of a boundary is zero || || ✓ || || | |||
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|euler zeta function || || ✓ || || | |||
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|Interaction between two strings || || ✓ || || | |||
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|Jones polynomial || || ✓ || || | |||
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|regular polyhedra || || ✓ || || | |||
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|Euler characteristic || || ✓ || || | |||
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| archimedes volume of sphere || || ✓ || || | |||
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| Navier stokes || || ✓ || || | |||
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| Bochner Weitzenböck formula || ✓ || || || | |||
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| Chern–Weil homomorphism || ✓ || || || | |||
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| Quillen connection on the determinant line bundle || ✓ || || || | |||
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| Bott periodicity || ✓ || || || | |||
|- | |||
| KO-Theory || ✓ || || || | |||
|- | |||
| K-Theory || ✓ || || || | |||
|- | |||
| Tits-Freudenthal Magic Square || ✓ || || || | |||
|- | |||
| formula for the deformation complex || ✓ || || || | |||
|- | |||
| formula relating Lie, covariant, and exterior derivatives || ✓ || || || | |||
|- | |||
| fundamental theory of Riemannian geometry, done right || ✓ || || || | |||
|- | |||
| recipe for Hamiltonian dynamics || ✓ || || || | |||
|- | |||
| something involving the Pfaffian and Euler class || ✓ || || || | |||
|- | |||
| decomposition of the Riemann curvature tensor || ✓ || || || | |||
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| position and momentum operators in geometric quantization || ✓ || || || | |||
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| Witten’s morse complex || ✓ || || || | |||
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| Fierz identity || ✓ || || || | |||
|- | |||
| Noether's theorem || ✓ || || || | |||
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| Dynkin diagrams || ✓ || || || | |||
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| Hurewicz homomorphism || ✓ || || || | |||
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| Leray-Serre spectral sequence || ✓ || || || | |||
|- | |||
| Torsion tensor || ✓ || || || | |||
|- | |||
| Variation of Action is 0 $$\delta S = 0$$ || ✓ || || || Everything stems from here. | |||
|- | |||
|} | |||
</div></div> | |||
* [[Talk:Graph,_Wall,_Tome#EricRWeinstein_2020-02-02_at_1%3A31_PM | Suggestions from Eric]] | * [[Talk:Graph,_Wall,_Tome#EricRWeinstein_2020-02-02_at_1%3A31_PM | Suggestions from Eric]] | ||
* A list of modification ideas has been collected [[Defacing the wall|here]]. | * A list of modification ideas has been collected [[Defacing the wall|here]]. | ||
[[Category:Archive]] | [[Category:Archive]] | ||
[[Category:Pages for Merging]] | [[Category:Pages for Merging]] | ||