&¨&&&&&&&¨ &¨&¨¨¨&¨&&
&&¨¨¨¨¨¨&& &&&¨¨&&&¨¨
¨&¨¨¨¨¨&¨& ¨¨&¨&¨¨&¨&
&&¨¨¨¨&&&& ¨&&&&¨&&&&
¨&¨¨¨&¨¨¨¨ &¨¨¨&&¨¨¨¨
&&¨¨&&¨¨¨¨ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& &¨¨&¨&¨¨¨¨
¨&¨&¨&¨¨¨¨ & UPS1D3S TO M4K1NG 4 PORT4L TO H34VEN & &¨&&&&¨¨¨&
&&&&&&¨¨¨& & TO BU1LD TH3 F4CTORY TH3RE & &&¨¨¨&¨¨&&
¨¨¨¨¨&¨¨&& &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ¨&¨¨&&¨&¨¨
¨¨¨¨&&¨&¨& &&¨&¨&&&¨¨
¨¨¨&¨&&&&¨ F1RST OF 4LL, R34L 3ST4TE: TH3 H1GHLY ¨&&&&¨¨&¨¨
¨¨&&&¨¨¨&& FR4CTAL1Z3D G3OMETRY (NOT PROV3N BUT &¨¨¨&¨&&¨¨
¨&¨¨&¨¨&¨& L1K3LY TO B3 TH3 C4S3) 1MPLI3S 4LMOST &¨¨&&&¨&¨¨
&&¨&&¨&&&¨ UNL1MIT3D ROOM; 3VEN 1F TH3 PORT4L T3CH &¨&¨¨&&&¨¨
¨&&¨&&¨¨&& WOULD B3 STOL3N, CH4NC3S OF RUNN1NG &&&¨&¨¨&¨&
&¨&&¨&¨&¨¨ 1NTO 4 COMP3T1TOR 1S CLOS3 TO NON3, ¨¨&&&¨&&&&
&&¨&&&&&¨¨ ¨&¨¨&&¨¨¨¨
¨&&¨¨¨¨&¨¨ S3CONDLY, TH3 R3SOURCES: H34VENS OWN &&¨&¨&¨¨¨&
&¨&¨¨¨&&¨¨ 4LCH3M1CAL PROP3RT1ES (PROOF 3X1ST!) ¨&&&&&¨¨&&
&&&¨¨&¨&¨& M4K3S MOST B4S3 M4T3R1ALS 34S1LY 4ND &¨¨¨¨&¨&¨¨
¨¨&¨&&&&&¨ R34D1LY 4VA1LABL3. ONC3 TH3 MOL3CUL4R &¨¨¨&&&&¨&
¨&&&¨¨¨¨&¨ MOV3MENT P4TT3RNS 4R3 M4PP3D OUT, 4NY &¨¨&¨¨¨&&&
&¨¨&¨¨¨&&& COMPOUND C4N B3 CR34TED V1RTU4LLY &¨&&¨¨&¨¨&
&¨&&¨¨&¨¨¨ W1THOUT COST. &&¨&¨&&¨&¨
&&¨&¨&&¨¨& ¨&&&&¨&&&&
¨&&&&¨&¨&¨ &¨¨¨&&¨¨¨¨
&¨¨¨&&&&&& &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& &¨¨&¨&¨¨¨¨
&¨¨&¨¨¨¨¨& & DOWNS1D3S TO M4K1NG 4 PORT4L TO & &¨&&&&¨¨¨&
&¨&&¨¨¨¨&¨ & H34VEN TO BU1LD TH3 F4CTORY TH3RE & &&¨¨¨&¨¨&¨
&&¨&¨¨¨&&& &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ¨&¨¨&&¨&&&
¨&&&¨¨&¨¨¨ &&¨&¨&&¨¨¨
&¨¨&¨&&¨¨& CURR3NT PORT4L T3CH T4K3S SOM3 3NERGY ¨&&&&¨&¨¨¨
&¨&&&¨&¨&¨ TO HOLD OP3N, WH1CH 1SN'T 4 PROBL3M 1N &¨¨¨&&&¨¨&
&&¨¨&&&&&¨ 1TS3LF. T3ST R3SULTS HOW3VER H4S SHOWN &¨¨&¨¨&¨&¨
¨&¨&¨¨¨¨&¨ TH4T W1THOUT 4N 4CT1V3 T3THER, H34VEN'S &¨&&¨&&&&&
&&&&¨¨¨&&& T1M3 FLOW BR34KS DOWN COMPL3TELY. 3VEN &&¨&&¨¨¨¨&
¨¨¨&¨¨&¨¨& 4 MOM3NT4RY FLUCTU4T1ON OF TH3 PORT4L ¨&&¨&¨¨¨&¨
¨¨&&¨&&¨&¨ WOULD R3NDER 4LL R3MOTE 4SS3TS &¨&&&¨¨&&¨
¨&¨&&¨&&&¨ PR4CT1CALLY LOST. MUCH C4R3 MUST B3 &&¨¨&¨&¨&¨
&&&¨&&¨¨&& T4K3N TO M41NTAIN PORT4L ST4B1LITY. ¨&¨&&&&&&¨
¨¨&&¨&¨&¨¨ (ON3 OPT1ON COULD B3 S3VER4L PORT4LS) &&&¨¨¨¨¨&&
¨&¨&&&&&¨& ¨¨&¨¨¨¨&¨&
&&&¨¨¨¨&&& ¨&&¨¨¨&&&&
¨¨&¨¨¨&¨¨¨ &¨&¨¨&¨¨¨¨
¨&&¨¨&&¨¨& &&&¨&&¨¨¨¨
&¨&¨&¨&¨&¨ ¨¨&&¨&¨¨¨¨