1 00:00:00,160 --> 00:00:05,829 joke 2 00:00:12,230 --> 00:00:09,110 york is from princeton university he's a 3 00:00:17,670 --> 00:00:12,240 colleague from the pear lab and 4 00:00:20,070 --> 00:00:17,680 a physicist with wide ranging interests 5 00:00:21,590 --> 00:00:20,080 looking forward to seeing what he has to 6 00:00:31,990 --> 00:00:21,600 say about advanced 7 00:00:37,190 --> 00:00:34,950 okay well let me begin by talking about 8 00:00:39,030 --> 00:00:37,200 what this talk is not 9 00:00:40,950 --> 00:00:39,040 i'm not going to be discussing warp 10 00:00:43,430 --> 00:00:40,960 drives or any other 11 00:00:44,150 --> 00:00:43,440 uh technique for moving faster than 12 00:00:46,069 --> 00:00:44,160 light 13 00:00:47,750 --> 00:00:46,079 when i use space propulsion in the title 14 00:00:50,470 --> 00:00:47,760 i simply mean 15 00:00:51,350 --> 00:00:50,480 taking an object preferably a spacecraft 16 00:00:53,430 --> 00:00:51,360 and 17 00:00:55,189 --> 00:00:53,440 getting it to move through the 18 00:00:57,110 --> 00:00:55,199 three-dimensional space that we're 19 00:00:59,430 --> 00:00:57,120 all familiar with at speeds slower than 20 00:01:02,549 --> 00:00:59,440 light 21 00:01:05,189 --> 00:01:02,559 so as an outline 22 00:01:07,109 --> 00:01:05,199 there are a number of systems that we 23 00:01:08,149 --> 00:01:07,119 know for space propulsion that are in 24 00:01:11,030 --> 00:01:08,159 use 25 00:01:12,870 --> 00:01:11,040 and i describe them as having failings 26 00:01:14,390 --> 00:01:12,880 because generally they do less than we'd 27 00:01:16,630 --> 00:01:14,400 like 28 00:01:18,390 --> 00:01:16,640 um i'm going to discuss why some of 29 00:01:19,990 --> 00:01:18,400 these failings seem to be mandated by 30 00:01:21,830 --> 00:01:20,000 physical law 31 00:01:24,310 --> 00:01:21,840 some theoretical alternatives that may 32 00:01:25,910 --> 00:01:24,320 allow better propulsion systems to exist 33 00:01:28,870 --> 00:01:25,920 i'm going to review some specific 34 00:01:31,030 --> 00:01:28,880 proposals for such systems 35 00:01:32,870 --> 00:01:31,040 but i ask the audience to remember that 36 00:01:35,670 --> 00:01:32,880 all of these specific proposals are 37 00:01:43,350 --> 00:01:39,749 so let's start with the basic 38 00:01:45,350 --> 00:01:43,360 um you move something through space by 39 00:01:46,950 --> 00:01:45,360 throwing mass away in one direction to 40 00:01:49,590 --> 00:01:46,960 accelerate in the other direction 41 00:01:50,389 --> 00:01:49,600 this is all in accordance with newton's 42 00:01:53,990 --> 00:01:50,399 third law 43 00:01:55,990 --> 00:01:54,000 and the conservation of momentum now 44 00:01:58,709 --> 00:01:56,000 they're not usually called rockets but i 45 00:01:59,109 --> 00:01:58,719 am classifying ion drives plasma drives 46 00:02:01,910 --> 00:01:59,119 even 47 00:02:03,190 --> 00:02:01,920 exotic speculations like an antimatter 48 00:02:05,510 --> 00:02:03,200 neutrino drive 49 00:02:08,309 --> 00:02:05,520 as basically rockets because they all 50 00:02:10,949 --> 00:02:08,319 work the same way 51 00:02:12,390 --> 00:02:10,959 now if conservation of momentum holds 52 00:02:14,390 --> 00:02:12,400 the rocket is in fact 53 00:02:15,589 --> 00:02:14,400 the only possible completely 54 00:02:18,710 --> 00:02:15,599 self-contained 55 00:02:19,990 --> 00:02:18,720 space propulsion system and somewhat 56 00:02:21,750 --> 00:02:20,000 annoyingly 57 00:02:23,830 --> 00:02:21,760 all rockets suffer from the rocket 58 00:02:27,270 --> 00:02:23,840 paradox 59 00:02:30,470 --> 00:02:27,280 here's an example we've got 60 00:02:32,070 --> 00:02:30,480 uh exhaust velocity the speed at which 61 00:02:34,309 --> 00:02:32,080 you're ejecting matter 62 00:02:35,270 --> 00:02:34,319 express uh plotted across the bottom 63 00:02:37,430 --> 00:02:35,280 here 64 00:02:40,949 --> 00:02:37,440 maxing out at the speed of light because 65 00:02:43,750 --> 00:02:40,959 you can't throw anything away any faster 66 00:02:46,070 --> 00:02:43,760 mass consumption goes down energy 67 00:02:47,830 --> 00:02:46,080 consumption goes up 68 00:02:49,270 --> 00:02:47,840 the more efficient your rocket is in 69 00:02:51,830 --> 00:02:49,280 terms of its 70 00:02:52,710 --> 00:02:51,840 use of mass the less efficient it is in 71 00:02:56,550 --> 00:02:52,720 terms of 72 00:03:02,869 --> 00:02:59,670 in addition there is the 73 00:03:07,670 --> 00:03:05,509 the velocity at which you throw away 74 00:03:10,869 --> 00:03:07,680 your reaction mass 75 00:03:12,550 --> 00:03:10,879 um is pretty much a constraint 76 00:03:14,470 --> 00:03:12,560 on how much you can maneuver on what 77 00:03:18,149 --> 00:03:14,480 total change of velocity 78 00:03:21,350 --> 00:03:18,159 you can accomplish um specifically 79 00:03:21,910 --> 00:03:21,360 the total mass of fuel you need or 80 00:03:23,990 --> 00:03:21,920 rather 81 00:03:26,390 --> 00:03:24,000 the ratio of your fuel mass to the 82 00:03:30,869 --> 00:03:26,400 payload mass you're trying to move 83 00:03:33,589 --> 00:03:30,879 grows exponentially with the ratio of 84 00:03:35,110 --> 00:03:33,599 the delta v the velocity change you want 85 00:03:38,789 --> 00:03:35,120 to accomplish 86 00:03:41,990 --> 00:03:38,799 to the speed at which you're ejecting 87 00:03:45,110 --> 00:03:42,000 the fuel the blue curve 88 00:03:48,869 --> 00:03:45,120 here is a plot of the 89 00:03:49,750 --> 00:03:48,879 rocket equation in uh dimensionless 90 00:03:52,229 --> 00:03:49,760 units uh 91 00:03:53,990 --> 00:03:52,239 just the ratio of of your desired 92 00:03:58,830 --> 00:03:54,000 velocity change to your 93 00:04:01,509 --> 00:03:58,840 exhaust speed uh these other 94 00:04:03,509 --> 00:04:01,519 um uh straight lines 95 00:04:06,070 --> 00:04:03,519 are based on the chemical rockets we're 96 00:04:09,670 --> 00:04:06,080 building these days 97 00:04:11,830 --> 00:04:09,680 uh the green line is uh the minimum 98 00:04:13,589 --> 00:04:11,840 requirements for velocity change for 99 00:04:15,990 --> 00:04:13,599 planetary missions such as nasa is 100 00:04:19,189 --> 00:04:16,000 conducting right now 101 00:04:23,749 --> 00:04:19,199 um and 102 00:04:26,150 --> 00:04:23,759 the red horizontal line is the 103 00:04:28,550 --> 00:04:26,160 our maximum engineering capability in 104 00:04:29,189 --> 00:04:28,560 terms of how much fuel we can cram onto 105 00:04:30,950 --> 00:04:29,199 the thing 106 00:04:32,950 --> 00:04:30,960 in terms relative to the mass of the 107 00:04:36,390 --> 00:04:32,960 structure required to hold it 108 00:04:38,390 --> 00:04:36,400 um the fact that this intersection is 109 00:04:40,469 --> 00:04:38,400 below this intersection is what makes 110 00:04:41,990 --> 00:04:40,479 planetary missions possible 111 00:04:43,590 --> 00:04:42,000 and the fact that they're so close to 112 00:04:46,310 --> 00:04:43,600 each other is what makes them so slow 113 00:04:51,350 --> 00:04:49,590 um so if 114 00:04:53,350 --> 00:04:51,360 conservation of energy and momentum 115 00:04:55,030 --> 00:04:53,360 forces the rocket paradox onto any 116 00:04:56,390 --> 00:04:55,040 self-contained drive 117 00:04:58,710 --> 00:04:56,400 what about systems that aren't 118 00:05:01,110 --> 00:04:58,720 self-contained we've seen allusions to 119 00:05:03,590 --> 00:05:01,120 some of these in previous talks 120 00:05:05,909 --> 00:05:03,600 light sails get thrust by reflecting 121 00:05:08,950 --> 00:05:05,919 radiation from an outside source 122 00:05:11,110 --> 00:05:08,960 the basard ramjet we we saw it discussed 123 00:05:12,390 --> 00:05:11,120 as a fusion ramjet i i like to credit 124 00:05:13,749 --> 00:05:12,400 the guy who seems to have come up with 125 00:05:16,629 --> 00:05:13,759 the original idea 126 00:05:18,790 --> 00:05:16,639 you scoop up the ambient medium as fuel 127 00:05:22,070 --> 00:05:18,800 current carrying tethers get thrust from 128 00:05:23,830 --> 00:05:22,080 exploiting ambient magnetic fields 129 00:05:26,710 --> 00:05:23,840 magnetic sails get thrust from 130 00:05:30,629 --> 00:05:26,720 deflecting ambient plasma 131 00:05:32,870 --> 00:05:30,639 the ramjet may be impossible um 132 00:05:34,310 --> 00:05:32,880 collecting interstellar hydrogen is a 133 00:05:36,710 --> 00:05:34,320 hard problem in itself 134 00:05:38,629 --> 00:05:36,720 and getting it to undergo fusion on the 135 00:05:40,310 --> 00:05:38,639 fly is even harder 136 00:05:42,390 --> 00:05:40,320 all of the other systems are dependent 137 00:05:44,790 --> 00:05:42,400 on special environments or support from 138 00:05:50,710 --> 00:05:47,749 the core problem that makes all of these 139 00:05:52,550 --> 00:05:50,720 drives unsatisfactory 140 00:05:55,510 --> 00:05:52,560 unfortunately happens to be two basic 141 00:05:58,629 --> 00:05:55,520 laws of physics conservation of energy 142 00:06:01,350 --> 00:05:58,639 and conservation of momentum now 143 00:06:02,710 --> 00:06:01,360 in relativity these are the same law 144 00:06:04,790 --> 00:06:02,720 energy and momentum 145 00:06:07,909 --> 00:06:04,800 form a relativistic four vector and all 146 00:06:09,670 --> 00:06:07,919 of its components are conserved 147 00:06:13,270 --> 00:06:09,680 unfortunately you can't escape the 148 00:06:14,629 --> 00:06:13,280 problem just by rejecting relativity 149 00:06:16,870 --> 00:06:14,639 there's something called nether's 150 00:06:19,350 --> 00:06:16,880 theorem in mathematical physics 151 00:06:21,189 --> 00:06:19,360 a very long-standing result it's a 152 00:06:23,430 --> 00:06:21,199 mathematical proof 153 00:06:24,710 --> 00:06:23,440 that any continuous symmetry in a 154 00:06:26,469 --> 00:06:24,720 physical law 155 00:06:28,390 --> 00:06:26,479 leads to the existence of a conserved 156 00:06:30,309 --> 00:06:28,400 quantity 157 00:06:32,070 --> 00:06:30,319 the result of having physical laws that 158 00:06:34,870 --> 00:06:32,080 don't change over time 159 00:06:37,749 --> 00:06:34,880 is the total energy has to be conserved 160 00:06:39,590 --> 00:06:37,759 similarly momentum conservation follows 161 00:06:41,350 --> 00:06:39,600 from the fact that physical laws don't 162 00:06:42,230 --> 00:06:41,360 change when you move from one place to 163 00:06:44,230 --> 00:06:42,240 another 164 00:06:46,150 --> 00:06:44,240 i step from here to here the laws of 165 00:06:48,070 --> 00:06:46,160 physics are the same in both places 166 00:06:51,189 --> 00:06:48,080 therefore momentum is conserved 167 00:06:54,469 --> 00:06:51,199 according to nether's theorem 168 00:06:56,950 --> 00:06:54,479 but there is a loophole 169 00:06:58,230 --> 00:06:56,960 the tensor calculus used in general 170 00:07:00,070 --> 00:06:58,240 relativity 171 00:07:01,670 --> 00:07:00,080 satisfies the defining symmetries of 172 00:07:04,710 --> 00:07:01,680 general relativity 173 00:07:06,870 --> 00:07:04,720 automatically as a matter of notation 174 00:07:08,230 --> 00:07:06,880 the nether construction becomes trivial 175 00:07:11,990 --> 00:07:08,240 it doesn't allow you to 176 00:07:14,550 --> 00:07:12,000 compute a conserved quantity 177 00:07:16,070 --> 00:07:14,560 in fact energy and momentum conservation 178 00:07:19,430 --> 00:07:16,080 in general relativity 179 00:07:19,990 --> 00:07:19,440 have only been proven for simple special 180 00:07:23,110 --> 00:07:20,000 cases 181 00:07:24,309 --> 00:07:23,120 there is no general proof so the 182 00:07:27,270 --> 00:07:24,319 conservation laws 183 00:07:28,629 --> 00:07:27,280 may not hold for the full theory in fact 184 00:07:31,749 --> 00:07:28,639 when you're dealing with an 185 00:07:32,710 --> 00:07:31,759 arbitrarily curved space time such as is 186 00:07:34,790 --> 00:07:32,720 allowed 187 00:07:36,309 --> 00:07:34,800 for the theory it becomes a little bit 188 00:07:38,150 --> 00:07:36,319 difficult to figure out what something 189 00:07:42,390 --> 00:07:38,160 like an energy density even 190 00:07:47,270 --> 00:07:45,510 uh digressing for a moment for most of 191 00:07:50,629 --> 00:07:47,280 this talk i'm assuming that's both 192 00:07:52,469 --> 00:07:50,639 special and general relativity are true 193 00:07:55,189 --> 00:07:52,479 uh now there's a lot of evidence for 194 00:07:58,550 --> 00:07:55,199 this and any alternative theory 195 00:07:59,110 --> 00:07:58,560 if it is to be taken seriously has to 196 00:08:00,950 --> 00:07:59,120 match 197 00:08:02,629 --> 00:08:00,960 a tremendous body of observational 198 00:08:06,230 --> 00:08:02,639 evidence that confirms 199 00:08:07,790 --> 00:08:06,240 both special and general relativity um 200 00:08:09,510 --> 00:08:07,800 however since there are some 201 00:08:12,469 --> 00:08:09,520 anti-relativists around 202 00:08:14,309 --> 00:08:12,479 especially in the sse uh it seems 203 00:08:16,790 --> 00:08:14,319 important to consider alternatives at 204 00:08:19,110 --> 00:08:16,800 least briefly 205 00:08:20,550 --> 00:08:19,120 uh now general relativity is 206 00:08:24,150 --> 00:08:20,560 mathematically unique 207 00:08:27,430 --> 00:08:24,160 it's the only theory that uh 208 00:08:30,070 --> 00:08:27,440 that that satisfies the appropriate 209 00:08:31,589 --> 00:08:30,080 symmetries uh except for little bells 210 00:08:33,909 --> 00:08:31,599 and whistles like whether or not there's 211 00:08:37,269 --> 00:08:33,919 a cosmological constant 212 00:08:38,870 --> 00:08:37,279 if gr is wrong there's no way i should 213 00:08:39,509 --> 00:08:38,880 qualify that there's no way that i know 214 00:08:41,990 --> 00:08:39,519 of 215 00:08:42,709 --> 00:08:42,000 to avoid the nether construction and 216 00:08:44,790 --> 00:08:42,719 we're stuck 217 00:08:47,350 --> 00:08:44,800 with conservation laws that are 218 00:08:50,389 --> 00:08:47,360 technologically inconvenient 219 00:08:52,870 --> 00:08:50,399 however a non-relativistic theory 220 00:08:53,670 --> 00:08:52,880 by definition admits the possibility of 221 00:08:56,790 --> 00:08:53,680 non-local 222 00:08:57,829 --> 00:08:56,800 interactions that propagate faster than 223 00:08:59,910 --> 00:08:57,839 light 224 00:09:02,550 --> 00:08:59,920 which can create the local appearance of 225 00:09:07,190 --> 00:09:02,560 not momentum non-conservation by having 226 00:09:11,030 --> 00:09:08,990 uh in the most extreme case a 227 00:09:13,190 --> 00:09:11,040 non-relativistic theory might allow 228 00:09:15,430 --> 00:09:13,200 instantaneous reaction with the entire 229 00:09:17,350 --> 00:09:15,440 background universe 230 00:09:19,590 --> 00:09:17,360 the local acceleration of the drive 231 00:09:22,070 --> 00:09:19,600 might be obvious 232 00:09:23,670 --> 00:09:22,080 but the reaction of all other matter 233 00:09:25,430 --> 00:09:23,680 everywhere would be impossible to 234 00:09:28,710 --> 00:09:25,440 measure 235 00:09:31,990 --> 00:09:28,720 in fact if mock's principle is valid 236 00:09:33,269 --> 00:09:32,000 it doesn't really have any meaning 237 00:09:35,269 --> 00:09:33,279 mark's principle which has been 238 00:09:36,710 --> 00:09:35,279 mentioned several times 239 00:09:38,949 --> 00:09:36,720 for people who haven't heard of it is 240 00:09:40,949 --> 00:09:38,959 simply the idea that it's the 241 00:09:42,949 --> 00:09:40,959 behavior of the matter in the universe 242 00:09:44,949 --> 00:09:42,959 as a whole that defines 243 00:09:48,870 --> 00:09:44,959 what is an accelerating or 244 00:09:54,550 --> 00:09:52,470 so getting back to relativity 245 00:09:56,550 --> 00:09:54,560 if general relativity is correct the 246 00:09:57,750 --> 00:09:56,560 door may be open to violating momentum 247 00:10:00,389 --> 00:09:57,760 conservation 248 00:10:01,910 --> 00:10:00,399 this would allow non-rocket drives that 249 00:10:03,430 --> 00:10:01,920 don't need to throw mass away to 250 00:10:05,910 --> 00:10:03,440 accelerate 251 00:10:08,069 --> 00:10:05,920 uh candidates worth examining in detail 252 00:10:09,350 --> 00:10:08,079 manipulation of inertia manipulation of 253 00:10:11,110 --> 00:10:09,360 gravity 254 00:10:13,269 --> 00:10:11,120 and then getting someone farther out 255 00:10:15,269 --> 00:10:13,279 manipulating tachyons or violating the 256 00:10:17,590 --> 00:10:15,279 weak energy condition which is a rather 257 00:10:20,069 --> 00:10:17,600 enigmatic statement that i'll discuss in 258 00:10:23,110 --> 00:10:20,079 more detail later 259 00:10:26,230 --> 00:10:23,120 so uh one thing 260 00:10:28,310 --> 00:10:26,240 that um even a lot of physicists 261 00:10:30,790 --> 00:10:28,320 don't notice unless they've researched 262 00:10:33,910 --> 00:10:30,800 the topic there are actually three kinds 263 00:10:37,030 --> 00:10:33,920 three fundamental definitions of mass 264 00:10:39,269 --> 00:10:37,040 inertial mass that's the n in newton's 265 00:10:41,269 --> 00:10:39,279 famous f equals m a equation 266 00:10:42,389 --> 00:10:41,279 it's the resistance of an object to 267 00:10:44,550 --> 00:10:42,399 acceleration 268 00:10:46,710 --> 00:10:44,560 it's the original quantity that got 269 00:10:49,269 --> 00:10:46,720 called mass 270 00:10:51,269 --> 00:10:49,279 gravitational mass also due to newton 271 00:10:54,069 --> 00:10:51,279 about 20 years later 272 00:10:56,069 --> 00:10:54,079 is the the both of the m's that appear 273 00:10:57,829 --> 00:10:56,079 in newton's gravity formula 274 00:11:00,150 --> 00:10:57,839 it's how strongly an object attracts 275 00:11:03,670 --> 00:11:00,160 everything else 276 00:11:06,630 --> 00:11:03,680 energy content mass is the m in 277 00:11:08,710 --> 00:11:06,640 einstein's e equals m c squared it's the 278 00:11:10,949 --> 00:11:08,720 total energy content of a system 279 00:11:14,710 --> 00:11:10,959 divided by the speed of light squared 280 00:11:17,190 --> 00:11:14,720 okay sorry about the typo 281 00:11:17,910 --> 00:11:17,200 now all three of these masses are 282 00:11:21,269 --> 00:11:17,920 exactly 283 00:11:22,550 --> 00:11:21,279 equivalent but nobody really knows why 284 00:11:23,590 --> 00:11:22,560 unless you simply take it as an 285 00:11:24,949 --> 00:11:23,600 assumption 286 00:11:30,230 --> 00:11:24,959 and we certainly don't have any 287 00:11:37,030 --> 00:11:34,710 now for inertia inertial reaction force 288 00:11:38,550 --> 00:11:37,040 is the force that resists any attempt to 289 00:11:40,550 --> 00:11:38,560 accelerate an object the 290 00:11:42,550 --> 00:11:40,560 equal and opposite reaction in newton's 291 00:11:45,590 --> 00:11:42,560 third law 292 00:11:47,990 --> 00:11:45,600 most physicists assume that 293 00:11:49,750 --> 00:11:48,000 inertia and inertial reaction forces are 294 00:11:50,230 --> 00:11:49,760 innate to mass they're just part of what 295 00:11:51,910 --> 00:11:50,240 mass 296 00:11:54,150 --> 00:11:51,920 is it's what it means to say that 297 00:11:56,710 --> 00:11:54,160 something's a massive object 298 00:11:58,230 --> 00:11:56,720 however some physicists wonder why these 299 00:12:00,710 --> 00:11:58,240 reaction forces exist 300 00:12:03,269 --> 00:12:00,720 and speculate that it might be somehow 301 00:12:05,350 --> 00:12:03,279 extrinsic rather than intrinsic 302 00:12:07,350 --> 00:12:05,360 in which case it might be possible to 303 00:12:09,590 --> 00:12:07,360 manipulate whatever external factors 304 00:12:12,870 --> 00:12:09,600 cause it 305 00:12:14,470 --> 00:12:12,880 uh now manipulating inertia 306 00:12:17,350 --> 00:12:14,480 automatically violates momentum 307 00:12:20,069 --> 00:12:17,360 conservation the definition of momentum 308 00:12:21,110 --> 00:12:20,079 uses the inertial mass so if inertial 309 00:12:24,389 --> 00:12:21,120 mass changes 310 00:12:25,030 --> 00:12:24,399 momentum changes however manipulating 311 00:12:26,470 --> 00:12:25,040 inertia 312 00:12:28,790 --> 00:12:26,480 can do more than just mess up the 313 00:12:36,230 --> 00:12:28,800 bookkeeping it allows you to construct 314 00:12:40,389 --> 00:12:38,230 okay now that everybody's had their 315 00:12:44,470 --> 00:12:40,399 giggle why am i calling a wagon wheel 316 00:12:51,350 --> 00:12:48,150 um inertia manipulation lets you turn 317 00:12:52,790 --> 00:12:51,360 a rotating wheel into a space drive now 318 00:12:55,110 --> 00:12:52,800 every spot on the rim 319 00:12:56,230 --> 00:12:55,120 of a rotating wheel is being accelerated 320 00:12:59,350 --> 00:12:56,240 inward 321 00:13:01,269 --> 00:12:59,360 and exerts an outward reaction force 322 00:13:02,550 --> 00:13:01,279 normally all of these forces are in 323 00:13:05,350 --> 00:13:02,560 equilibrium 324 00:13:06,710 --> 00:13:05,360 even an unbalanced wheel just shakes as 325 00:13:09,350 --> 00:13:06,720 it spins 326 00:13:10,310 --> 00:13:09,360 over a full cycle there's no net average 327 00:13:13,829 --> 00:13:10,320 force it just 328 00:13:17,590 --> 00:13:16,470 now suppose you can manipulate inertia 329 00:13:20,470 --> 00:13:17,600 specifically 330 00:13:22,710 --> 00:13:20,480 suppose you can manipulate inertia in 331 00:13:25,430 --> 00:13:22,720 one part of the wheel either by 332 00:13:27,190 --> 00:13:25,440 affecting a volume of space or by doing 333 00:13:28,870 --> 00:13:27,200 something to the wheels components 334 00:13:32,069 --> 00:13:28,880 themselves on the fly 335 00:13:34,389 --> 00:13:32,079 as they pass through the target area 336 00:13:36,389 --> 00:13:34,399 well for this example we're increasing 337 00:13:39,030 --> 00:13:36,399 inertia in this zone 338 00:13:39,509 --> 00:13:39,040 the ratio of acceleration to reaction 339 00:13:45,509 --> 00:13:39,519 force 340 00:13:46,310 --> 00:13:45,519 these are no longer in equilibrium the 341 00:13:49,269 --> 00:13:46,320 whole wheel 342 00:13:49,670 --> 00:13:49,279 is going to accelerate that way it will 343 00:13:51,750 --> 00:13:49,680 be 344 00:13:53,990 --> 00:13:51,760 pulled toward a zone where inertia is 345 00:13:55,990 --> 00:13:54,000 increased and away from a zone where 346 00:13:58,150 --> 00:13:56,000 inertia is decreased 347 00:13:59,670 --> 00:13:58,160 and this is without expelling mass with 348 00:14:05,750 --> 00:13:59,680 without 349 00:14:07,189 --> 00:14:05,760 simply the change in inertia if you can 350 00:14:09,670 --> 00:14:07,199 do it this way will have this 351 00:14:11,269 --> 00:14:09,680 consequence 352 00:14:14,230 --> 00:14:11,279 now one candidate for inertia 353 00:14:15,670 --> 00:14:14,240 manipulation in 1994 354 00:14:18,790 --> 00:14:15,680 bernie heisch who i believe is in the 355 00:14:20,230 --> 00:14:18,800 audience alfonso reider and hal puthoff 356 00:14:22,949 --> 00:14:20,240 published a theory that inertial 357 00:14:24,790 --> 00:14:22,959 reaction forces are a result 358 00:14:27,750 --> 00:14:24,800 of electromagnetic zero point 359 00:14:29,430 --> 00:14:27,760 fluctuations interacting with matter 360 00:14:31,829 --> 00:14:29,440 now in the spirit of full display 361 00:14:33,670 --> 00:14:31,839 disclosure i co-wrote a couple of papers 362 00:14:34,710 --> 00:14:33,680 with some of them a few years later on 363 00:14:38,629 --> 00:14:34,720 this theory so 364 00:14:39,509 --> 00:14:38,639 i'm not entirely unbiased but zpf can be 365 00:14:41,910 --> 00:14:39,519 manipulated 366 00:14:43,350 --> 00:14:41,920 and in principle this could change the 367 00:14:45,430 --> 00:14:43,360 inertia of objects within the 368 00:14:48,310 --> 00:14:45,440 manipulated volume if this theory is 369 00:14:54,949 --> 00:14:51,990 now the one way we know to manipulate 370 00:14:56,310 --> 00:14:54,959 zpf reliably and it's been referenced 371 00:14:56,710 --> 00:14:56,320 before and is going to be referenced 372 00:14:59,910 --> 00:14:56,720 again 373 00:15:01,110 --> 00:14:59,920 is the casmir effect parallel conducting 374 00:15:03,110 --> 00:15:01,120 plates exclude 375 00:15:04,150 --> 00:15:03,120 some of the zpf modes from the space 376 00:15:05,750 --> 00:15:04,160 between them 377 00:15:07,590 --> 00:15:05,760 specifically the modes that are too big 378 00:15:10,790 --> 00:15:07,600 to fit there is a 379 00:15:13,110 --> 00:15:10,800 reduced zpf inside pushes out with less 380 00:15:14,470 --> 00:15:13,120 force than the normal zpf outside pushes 381 00:15:16,470 --> 00:15:14,480 in 382 00:15:18,150 --> 00:15:16,480 so it looks like there's an attractive 383 00:15:18,629 --> 00:15:18,160 force pulling the plates together that 384 00:15:21,030 --> 00:15:18,639 gets 385 00:15:21,670 --> 00:15:21,040 stronger the closer they are because 386 00:15:24,310 --> 00:15:21,680 you're 387 00:15:28,150 --> 00:15:24,320 excluding more modes this has been 388 00:15:31,509 --> 00:15:31,030 so that leads us to what i've labeled 389 00:15:33,990 --> 00:15:31,519 the 390 00:15:35,590 --> 00:15:34,000 high schroeder put off casimir inertial 391 00:15:37,430 --> 00:15:35,600 wheel 392 00:15:39,590 --> 00:15:37,440 if the zpf is the source of inertial 393 00:15:42,150 --> 00:15:39,600 reaction the reduced zpf between 394 00:15:44,230 --> 00:15:42,160 casimir plates should reduce the inertia 395 00:15:45,110 --> 00:15:44,240 so you put plates on one side of the 396 00:15:47,030 --> 00:15:45,120 wheel 397 00:15:49,590 --> 00:15:47,040 you get a reduced inertial reaction 398 00:15:51,189 --> 00:15:49,600 force the wheel accelerates 399 00:15:53,670 --> 00:15:51,199 in the direction away from the side with 400 00:15:56,629 --> 00:15:53,680 the plates 401 00:15:58,389 --> 00:15:56,639 unfortunately the zpf change made by 402 00:16:00,310 --> 00:15:58,399 casimir plates is in the wrong part of 403 00:16:02,069 --> 00:16:00,320 the spectrum to affect inertia very 404 00:16:05,189 --> 00:16:02,079 strongly 405 00:16:06,829 --> 00:16:05,199 um making wildly optimistic estimates 406 00:16:08,150 --> 00:16:06,839 about our precision engineering 407 00:16:10,550 --> 00:16:08,160 capabilities 408 00:16:12,470 --> 00:16:10,560 the best hr pc wheel with current 409 00:16:14,069 --> 00:16:12,480 technology would accelerate at 410 00:16:17,749 --> 00:16:14,079 two times ten to the minus twenty 411 00:16:21,110 --> 00:16:17,759 seventh power meters per second squared 412 00:16:22,949 --> 00:16:21,120 um that would need to operate for a 413 00:16:25,430 --> 00:16:22,959 thousand years to travel a distance 414 00:16:29,189 --> 00:16:25,440 equal to one wavelength of visible light 415 00:16:31,430 --> 00:16:29,199 this is not exactly a practical drive 416 00:16:33,030 --> 00:16:31,440 another candidate for inertial 417 00:16:34,790 --> 00:16:33,040 manipulation 418 00:16:36,790 --> 00:16:34,800 uh for brevity i will just be calling 419 00:16:39,269 --> 00:16:36,800 the woodward effect since the 420 00:16:41,030 --> 00:16:39,279 early 1990s james woodward has been 421 00:16:43,509 --> 00:16:41,040 publishing a theory based on 422 00:16:44,150 --> 00:16:43,519 mock's principle that predicts transient 423 00:16:47,110 --> 00:16:44,160 changes 424 00:16:49,110 --> 00:16:47,120 in the inertia of devices of objects 425 00:16:50,629 --> 00:16:49,120 whose density is changing 426 00:16:53,189 --> 00:16:50,639 some of his papers also contain 427 00:16:55,350 --> 00:16:53,199 experimental tests of the theory 428 00:16:58,069 --> 00:16:55,360 uh his latest at least the latest that i 429 00:16:59,350 --> 00:16:58,079 found in 2010 so i hope it's the most 430 00:17:01,590 --> 00:16:59,360 recent 431 00:17:03,110 --> 00:17:01,600 notes that earlier experiments have been 432 00:17:05,029 --> 00:17:03,120 given conflicting results 433 00:17:07,750 --> 00:17:05,039 but the most recent experiments continue 434 00:17:10,870 --> 00:17:07,760 to support the theory 435 00:17:11,510 --> 00:17:10,880 uh well here's the theory in extremely 436 00:17:14,309 --> 00:17:11,520 brief 437 00:17:15,029 --> 00:17:14,319 form he ultimately ends up deriving this 438 00:17:19,350 --> 00:17:15,039 equation 439 00:17:21,669 --> 00:17:19,360 for transient inertial mass changes 440 00:17:23,669 --> 00:17:21,679 uh it relates the rate of change of 441 00:17:25,510 --> 00:17:23,679 energy density both the first derivative 442 00:17:28,549 --> 00:17:25,520 and the second derivative 443 00:17:31,990 --> 00:17:28,559 to a uh transient change 444 00:17:34,150 --> 00:17:32,000 in the inertia of an object uh the 445 00:17:35,510 --> 00:17:34,160 thing is from his own derivation you 446 00:17:37,909 --> 00:17:35,520 could just as well write this 447 00:17:39,669 --> 00:17:37,919 in terms of a changing mass density this 448 00:17:43,510 --> 00:17:39,679 e naught 449 00:17:46,310 --> 00:17:43,520 is equal to rho naught c squared 450 00:17:48,390 --> 00:17:46,320 so you can take out the c squared 451 00:17:49,750 --> 00:17:48,400 factors write things in terms of mass 452 00:17:52,789 --> 00:17:49,760 density and you get 453 00:17:54,150 --> 00:17:52,799 this equation which is fundamentally the 454 00:17:57,510 --> 00:17:54,160 same equation 455 00:17:59,750 --> 00:17:57,520 um he even uses the equality 456 00:18:00,630 --> 00:17:59,760 well rho naught c squared equals e 457 00:18:04,150 --> 00:18:00,640 naught in 458 00:18:06,470 --> 00:18:04,160 a couple of steps of his derivation 459 00:18:07,350 --> 00:18:06,480 now because woodward writes his equation 460 00:18:10,470 --> 00:18:07,360 informs 461 00:18:13,029 --> 00:18:10,480 in in terms of a changing energy density 462 00:18:15,029 --> 00:18:13,039 all of his experiments have involved 463 00:18:18,150 --> 00:18:15,039 charging and discharging capacitors to 464 00:18:20,630 --> 00:18:18,160 change the energy density 465 00:18:22,950 --> 00:18:20,640 the measurements involve oscillating the 466 00:18:25,750 --> 00:18:22,960 capacitors back and forth 467 00:18:26,789 --> 00:18:25,760 in time with the charge and discharge to 468 00:18:29,590 --> 00:18:26,799 look for a 469 00:18:31,350 --> 00:18:29,600 net static thrust from the changing 470 00:18:34,150 --> 00:18:31,360 inertia 471 00:18:36,710 --> 00:18:34,160 um looking for a net thrust in this kind 472 00:18:39,029 --> 00:18:36,720 of vibrating apparatus is notoriously 473 00:18:42,070 --> 00:18:39,039 prone to experimental confounds 474 00:18:43,830 --> 00:18:42,080 which is probably why the conflicting 475 00:18:45,750 --> 00:18:43,840 results mentioned in his latest paper 476 00:18:49,510 --> 00:18:45,760 have come about 477 00:18:51,510 --> 00:18:49,520 his 2010 report uses a rotating mount 478 00:18:53,110 --> 00:18:51,520 but because he's cycling the capacitors 479 00:18:54,070 --> 00:18:53,120 at a much higher frequency than his 480 00:18:56,070 --> 00:18:54,080 rotation rate 481 00:18:58,310 --> 00:18:56,080 he's still looking for an oscillatory 482 00:19:00,390 --> 00:18:58,320 effect 483 00:19:02,150 --> 00:19:00,400 however it seems like the woodward 484 00:19:05,110 --> 00:19:02,160 effect should be ideal 485 00:19:05,990 --> 00:19:05,120 for the inertial wheel configuration 486 00:19:07,830 --> 00:19:06,000 because 487 00:19:10,470 --> 00:19:07,840 the inertial transient is driven by 488 00:19:12,549 --> 00:19:10,480 changes in mass density all you need to 489 00:19:13,510 --> 00:19:12,559 do to alter one section of a rolling 490 00:19:16,789 --> 00:19:13,520 wheel 491 00:19:20,150 --> 00:19:16,799 is to compress it uh 492 00:19:21,110 --> 00:19:20,160 now funny when when does one section of 493 00:19:26,710 --> 00:19:21,120 a 494 00:19:29,029 --> 00:19:26,720 tires 495 00:19:29,830 --> 00:19:29,039 we've got a natural experiment out there 496 00:19:32,870 --> 00:19:29,840 in the world 497 00:19:34,950 --> 00:19:32,880 for over a century uh 498 00:19:36,310 --> 00:19:34,960 modern pneumatic tires like this one 499 00:19:37,990 --> 00:19:36,320 don't test the effect 500 00:19:39,909 --> 00:19:38,000 the pressure is distributed and there 501 00:19:42,630 --> 00:19:39,919 are no transients 502 00:19:43,909 --> 00:19:42,640 however in the early whoops in the early 503 00:19:46,630 --> 00:19:43,919 1900s 504 00:19:47,830 --> 00:19:46,640 many cars used solid rubber tires well 505 00:19:49,350 --> 00:19:47,840 at least some of them did 506 00:19:51,110 --> 00:19:49,360 there was a lot of experimentation in 507 00:19:53,270 --> 00:19:51,120 that era 508 00:19:54,789 --> 00:19:53,280 those do go through local compression 509 00:19:57,830 --> 00:19:54,799 cycles as the wheels roll 510 00:19:59,510 --> 00:19:57,840 creating rapid changes in density the 511 00:20:00,549 --> 00:19:59,520 woodward transient works out to be 512 00:20:02,789 --> 00:20:00,559 negative 513 00:20:06,470 --> 00:20:02,799 so the reaction force induced against 514 00:20:08,630 --> 00:20:06,480 the tile rotation is directed upward 515 00:20:09,669 --> 00:20:08,640 and so in the reference frame of the car 516 00:20:11,510 --> 00:20:09,679 the wheels spin 517 00:20:13,830 --> 00:20:11,520 they generate an inertial reaction at 518 00:20:15,990 --> 00:20:13,840 every point on their rims 519 00:20:17,750 --> 00:20:16,000 the road rolling by at a speed that 520 00:20:19,510 --> 00:20:17,760 matches the wheel rotation remember 521 00:20:20,950 --> 00:20:19,520 we're still using the car's inertial 522 00:20:22,950 --> 00:20:20,960 frame here 523 00:20:24,630 --> 00:20:22,960 compresses the contact point creating a 524 00:20:26,310 --> 00:20:24,640 woodward inertial transient for each 525 00:20:28,070 --> 00:20:26,320 segment of the wheel as it comes into 526 00:20:30,549 --> 00:20:28,080 contact with the road 527 00:20:32,310 --> 00:20:30,559 this transient is large and negative and 528 00:20:34,390 --> 00:20:32,320 increases as the fourth power of the 529 00:20:35,990 --> 00:20:34,400 car's speed 530 00:20:38,630 --> 00:20:36,000 according to the woodward's equation a 531 00:20:39,270 --> 00:20:38,640 typical 1900s vintage car with solid 532 00:20:41,029 --> 00:20:39,280 tires 533 00:20:42,870 --> 00:20:41,039 should have launched itself into the air 534 00:20:44,710 --> 00:20:42,880 once it hit a speed of four miles per 535 00:20:46,870 --> 00:20:44,720 hour 536 00:20:48,470 --> 00:20:46,880 at best this indicates that the woodward 537 00:20:50,870 --> 00:20:48,480 effect is weaker 538 00:20:53,430 --> 00:20:50,880 than the equation suggests which in 539 00:20:55,510 --> 00:20:53,440 fairness does correspond to some of the 540 00:20:56,630 --> 00:20:55,520 uh results woodward has gotten and 541 00:20:58,549 --> 00:20:56,640 they've noted a 542 00:21:02,070 --> 00:20:58,559 smaller inertial transient than the 543 00:21:05,430 --> 00:21:02,080 equation as written at face value 544 00:21:07,190 --> 00:21:05,440 hello thank you another route to 545 00:21:09,110 --> 00:21:07,200 propellantless propulsion is the 546 00:21:11,430 --> 00:21:09,120 manipulation of gravity 547 00:21:13,270 --> 00:21:11,440 now we've seen einstein's field equation 548 00:21:15,270 --> 00:21:13,280 for gravity before 549 00:21:16,789 --> 00:21:15,280 and i want to concentrate on the source 550 00:21:19,350 --> 00:21:16,799 term which is called t 551 00:21:19,990 --> 00:21:19,360 nu nu it's called the stress energy 552 00:21:22,470 --> 00:21:20,000 tensor 553 00:21:23,270 --> 00:21:22,480 in addition to energy it contains terms 554 00:21:26,070 --> 00:21:23,280 for momentum 555 00:21:29,110 --> 00:21:26,080 energy and momentum flux pressure and 556 00:21:33,590 --> 00:21:30,950 now a question does pressure have 557 00:21:35,510 --> 00:21:33,600 inertia einstein's equals m c 558 00:21:37,350 --> 00:21:35,520 squared was basically a demonstration 559 00:21:38,710 --> 00:21:37,360 that energy has inertia you can write it 560 00:21:41,590 --> 00:21:38,720 as m equals e over z 561 00:21:43,669 --> 00:21:41,600 squared it's not immediately obvious 562 00:21:45,029 --> 00:21:43,679 whether einstein's proof applies to all 563 00:21:48,070 --> 00:21:45,039 terms in team you knew 564 00:21:49,750 --> 00:21:48,080 or only to the energy terms so for the 565 00:21:51,830 --> 00:21:49,760 moment we're going to assume that the 566 00:21:54,950 --> 00:21:51,840 pressure terms in team u-nu 567 00:21:55,830 --> 00:21:54,960 don't add to inertia then we can 568 00:21:58,950 --> 00:21:55,840 decouple 569 00:22:00,870 --> 00:21:58,960 inertial mass from gravitational mass 570 00:22:03,029 --> 00:22:00,880 inert internal pressure will make an 571 00:22:03,590 --> 00:22:03,039 object create a stronger gravitational 572 00:22:06,870 --> 00:22:03,600 field 573 00:22:09,750 --> 00:22:06,880 without changing its inertia 574 00:22:11,510 --> 00:22:09,760 now briefly discussing the nature of 575 00:22:13,990 --> 00:22:11,520 gravity force and acceleration in 576 00:22:16,870 --> 00:22:14,000 relativity in general relativity 577 00:22:18,470 --> 00:22:16,880 gravity is not a force gravity is 578 00:22:20,549 --> 00:22:18,480 space-time curvature 579 00:22:23,350 --> 00:22:20,559 that makes a free trajectory look to a 580 00:22:25,830 --> 00:22:23,360 distant observer as if it's accelerating 581 00:22:27,909 --> 00:22:25,840 right now you're sitting still on earth 582 00:22:28,870 --> 00:22:27,919 the surface is forcing you to accelerate 583 00:22:31,350 --> 00:22:28,880 away 584 00:22:32,870 --> 00:22:31,360 from the curved space-time path that 585 00:22:34,070 --> 00:22:32,880 leads downward toward the center of the 586 00:22:36,310 --> 00:22:34,080 earth 587 00:22:37,590 --> 00:22:36,320 your weight is an inertial reaction 588 00:22:39,750 --> 00:22:37,600 force 589 00:22:41,710 --> 00:22:39,760 there's a natural free-fall trajectory 590 00:22:44,310 --> 00:22:41,720 that leads downward there's a 591 00:22:46,390 --> 00:22:44,320 non-gravitational obstacle forcing 592 00:22:47,270 --> 00:22:46,400 acceleration away from that free-fall 593 00:22:49,510 --> 00:22:47,280 trajectory 594 00:22:53,350 --> 00:22:49,520 this imposed acceleration and there's an 595 00:22:55,909 --> 00:22:53,360 inertial reaction which we call weight 596 00:22:56,390 --> 00:22:55,919 so now let's look at a couple of spears 597 00:22:59,590 --> 00:22:56,400 in 598 00:23:00,470 --> 00:22:59,600 empty space they each have their own 599 00:23:01,590 --> 00:23:00,480 mass 600 00:23:03,669 --> 00:23:01,600 and we're holding them apart 601 00:23:06,870 --> 00:23:03,679 mechanically with a strut 602 00:23:08,870 --> 00:23:06,880 that has negligible mass and we're just 603 00:23:10,549 --> 00:23:08,880 using it to impose a non-gravitational 604 00:23:12,230 --> 00:23:10,559 acceleration on the system 605 00:23:14,070 --> 00:23:12,240 specifically we're using it to hold 606 00:23:16,390 --> 00:23:14,080 these things at rest when they want to 607 00:23:19,669 --> 00:23:16,400 accelerate towards each other 608 00:23:22,390 --> 00:23:19,679 so the imposed accelerations are 609 00:23:24,630 --> 00:23:22,400 different assuming that m1 is not the 610 00:23:26,710 --> 00:23:24,640 same as m2 611 00:23:28,070 --> 00:23:26,720 but the inertial reaction force turns 612 00:23:31,110 --> 00:23:28,080 out to be the same 613 00:23:32,789 --> 00:23:31,120 because this in this acceleration is 614 00:23:36,070 --> 00:23:32,799 proportional to m2 615 00:23:38,310 --> 00:23:36,080 the mass is m1 you get gm1 m2 616 00:23:39,270 --> 00:23:38,320 down here acceleration proportional to 617 00:23:43,269 --> 00:23:39,280 m1 618 00:23:45,510 --> 00:23:43,279 again 619 00:23:47,350 --> 00:23:45,520 the inertial reaction forces exerted on 620 00:23:49,110 --> 00:23:47,360 the strut are identical 621 00:23:51,269 --> 00:23:49,120 everything's in balance nothing's going 622 00:23:54,149 --> 00:23:51,279 anywhere 623 00:23:56,230 --> 00:23:54,159 now let's pressurize m1 keeping its mass 624 00:23:58,390 --> 00:23:56,240 the same 625 00:24:00,549 --> 00:23:58,400 by hypothesis at the moment the pressure 626 00:24:02,470 --> 00:24:00,559 won't increase m1's inertia but will 627 00:24:05,190 --> 00:24:02,480 strengthen its gravity 628 00:24:06,230 --> 00:24:05,200 now this imposed acceleration has become 629 00:24:10,390 --> 00:24:06,240 bigger 630 00:24:12,310 --> 00:24:10,400 this one is still the same because 631 00:24:14,870 --> 00:24:12,320 pressure does not contribute to inertia 632 00:24:15,430 --> 00:24:14,880 we're assuming the forces are out of 633 00:24:16,830 --> 00:24:15,440 balance 634 00:24:19,750 --> 00:24:16,840 and the whole system is going to 635 00:24:21,990 --> 00:24:19,760 accelerate 636 00:24:22,789 --> 00:24:22,000 unfortunately gravity is a weak force to 637 00:24:25,590 --> 00:24:22,799 begin with 638 00:24:28,630 --> 00:24:25,600 and it takes a lot of pressure to rival 639 00:24:30,710 --> 00:24:28,640 the gravitational effect of mass 640 00:24:33,590 --> 00:24:30,720 there's a factor of c squared involved 641 00:24:36,470 --> 00:24:33,600 the strongest materials available 642 00:24:38,149 --> 00:24:36,480 are currently known compressed to just 643 00:24:39,830 --> 00:24:38,159 short of their yield strength 644 00:24:41,669 --> 00:24:39,840 will have a pressure contribution to 645 00:24:44,830 --> 00:24:41,679 their gravity about 646 00:24:47,669 --> 00:24:44,840 10 to the minus 11 that's 10 parts per 647 00:24:48,390 --> 00:24:47,679 trillion the unbalanced gravity drive at 648 00:24:50,470 --> 00:24:48,400 this level 649 00:24:53,269 --> 00:24:50,480 will accelerate at five times ten to the 650 00:24:55,669 --> 00:24:53,279 minus seventeenth meters per second 651 00:24:57,029 --> 00:24:55,679 uh that actually depends on the total 652 00:24:58,870 --> 00:24:57,039 mass of the system 653 00:25:00,149 --> 00:24:58,880 so i'm i'm throwing in an assumption 654 00:25:01,830 --> 00:25:00,159 that you you don't 655 00:25:04,310 --> 00:25:01,840 want to try to build a spacecraft that 656 00:25:07,029 --> 00:25:04,320 weighs more than a few tens of tons 657 00:25:09,029 --> 00:25:07,039 um now that's 10 orders of magnitude 658 00:25:11,350 --> 00:25:09,039 better than the last one we looked at 659 00:25:15,190 --> 00:25:11,360 but it still needs to run 73 days to 660 00:25:17,110 --> 00:25:15,200 travel one millimeter 661 00:25:18,870 --> 00:25:17,120 now we've been supposing for a while 662 00:25:22,149 --> 00:25:18,880 that pressure doesn't have inertia but 663 00:25:26,070 --> 00:25:24,149 then the unbalanced gravity drive 664 00:25:27,750 --> 00:25:26,080 doesn't work because the extra gravity 665 00:25:29,590 --> 00:25:27,760 source has its own inertia 666 00:25:30,870 --> 00:25:29,600 inertial mass and gravitational mass 667 00:25:34,470 --> 00:25:30,880 stay coupled 668 00:25:38,070 --> 00:25:34,480 but this uncouples inertial mass 669 00:25:39,750 --> 00:25:38,080 from energy content mass and this should 670 00:25:41,669 --> 00:25:39,760 sound familiar 671 00:25:43,110 --> 00:25:41,679 because it means you can change inertia 672 00:25:45,590 --> 00:25:43,120 without changing 673 00:25:46,310 --> 00:25:45,600 the energy content mass the amount of 674 00:25:49,350 --> 00:25:46,320 stuff 675 00:25:51,750 --> 00:25:49,360 if you will in an object 676 00:25:53,510 --> 00:25:51,760 a self-contained pressurization system 677 00:25:55,029 --> 00:25:53,520 won't change the total energy content 678 00:25:57,830 --> 00:25:55,039 but it can still add or remove 679 00:25:59,669 --> 00:25:57,840 pressure if pressure has inertia we can 680 00:26:00,549 --> 00:25:59,679 manipulate the inertia of objects on the 681 00:26:04,710 --> 00:26:00,559 rim of our 682 00:26:07,350 --> 00:26:04,720 rotating wheel now once again 683 00:26:09,190 --> 00:26:07,360 with the best available materials this 684 00:26:11,909 --> 00:26:09,200 version of the inertial wheel 685 00:26:13,590 --> 00:26:11,919 could accelerate at nearly uh i won't 686 00:26:16,950 --> 00:26:13,600 recite all the zeros this is 687 00:26:18,870 --> 00:26:16,960 half a microgravity um 688 00:26:22,230 --> 00:26:18,880 that's 11 orders of magnitude better 689 00:26:25,269 --> 00:26:22,240 than the unbalanced gravity drive 690 00:26:28,549 --> 00:26:25,279 so one way or another 691 00:26:31,350 --> 00:26:28,559 it looks like we have a inner 692 00:26:33,269 --> 00:26:31,360 violation of momentum conservation if 693 00:26:34,070 --> 00:26:33,279 the pressure terms and the stress energy 694 00:26:37,510 --> 00:26:34,080 tensor 695 00:26:39,029 --> 00:26:37,520 contribute to inertia then we can build 696 00:26:41,190 --> 00:26:39,039 an inertial wheel drive 697 00:26:44,710 --> 00:26:41,200 if they don't contribute to inertia we 698 00:26:46,470 --> 00:26:44,720 can build an unbalanced gravity drive 699 00:26:48,070 --> 00:26:46,480 so now we'll go farther out into 700 00:26:50,230 --> 00:26:48,080 speculation 701 00:26:51,350 --> 00:26:50,240 for somewhat over 40 years physicists 702 00:26:53,510 --> 00:26:51,360 have speculated about 703 00:26:55,830 --> 00:26:53,520 tachyons hypothetical particles that 704 00:26:57,669 --> 00:26:55,840 always move faster than light 705 00:26:59,350 --> 00:26:57,679 they're a marginally respectable topic 706 00:27:01,029 --> 00:26:59,360 in relativity 707 00:27:03,190 --> 00:27:01,039 and they're an abomination in quantum 708 00:27:04,630 --> 00:27:03,200 field theory 709 00:27:07,350 --> 00:27:04,640 although they're consistent with 710 00:27:09,350 --> 00:27:07,360 relativity and respect conservation laws 711 00:27:11,269 --> 00:27:09,360 their ftl movement means that like 712 00:27:12,990 --> 00:27:11,279 non-relativistic interactions 713 00:27:15,510 --> 00:27:13,000 they can create the local appearance of 714 00:27:17,990 --> 00:27:15,520 non-conservation 715 00:27:18,549 --> 00:27:18,000 so some properties of tachyons this 716 00:27:20,789 --> 00:27:18,559 factor 717 00:27:21,750 --> 00:27:20,799 square root of 1 minus v squared over c 718 00:27:25,190 --> 00:27:21,760 squared 719 00:27:26,710 --> 00:27:25,200 is ubiquitous in relativistic 720 00:27:29,750 --> 00:27:26,720 transformations 721 00:27:30,549 --> 00:27:29,760 and if v is bigger than c it becomes an 722 00:27:32,549 --> 00:27:30,559 imaginary 723 00:27:34,070 --> 00:27:32,559 value which is why it's usually 724 00:27:34,470 --> 00:27:34,080 considered to be meaningless to talk 725 00:27:37,669 --> 00:27:34,480 about 726 00:27:40,789 --> 00:27:37,679 having something move faster than light 727 00:27:43,990 --> 00:27:40,799 however if the rest mass of an object 728 00:27:44,950 --> 00:27:44,000 is also imaginary the imaginary factors 729 00:27:47,190 --> 00:27:44,960 cancel 730 00:27:48,470 --> 00:27:47,200 and the mass momentum and total energy 731 00:27:51,110 --> 00:27:48,480 of such a particle 732 00:27:53,669 --> 00:27:51,120 become real values as long as it keeps 733 00:27:56,230 --> 00:27:53,679 moving faster than light 734 00:27:57,590 --> 00:27:56,240 fundamentally you get three kinds of 735 00:28:01,269 --> 00:27:57,600 particles 736 00:28:04,950 --> 00:28:01,279 are sometimes called 737 00:28:07,830 --> 00:28:04,960 tardions so we know they exist 738 00:28:09,430 --> 00:28:07,840 we interact with massless particles all 739 00:28:11,430 --> 00:28:09,440 the time 740 00:28:13,430 --> 00:28:11,440 so we know that there's no barrier to 741 00:28:15,590 --> 00:28:13,440 interactions between two different kinds 742 00:28:19,110 --> 00:28:15,600 of particles on this chart 743 00:28:22,070 --> 00:28:19,120 tachyons if they exist would simply add 744 00:28:23,269 --> 00:28:22,080 another category that covers the 745 00:28:25,350 --> 00:28:23,279 remaining velocity 746 00:28:27,110 --> 00:28:25,360 regime we've got always slower than 747 00:28:28,149 --> 00:28:27,120 light we've got always moving at the 748 00:28:30,070 --> 00:28:28,159 speed of light 749 00:28:31,669 --> 00:28:30,080 we've got always moving faster than 750 00:28:37,350 --> 00:28:31,679 light and all of them 751 00:28:43,430 --> 00:28:41,669 um now both tardions and tachyons 752 00:28:46,389 --> 00:28:43,440 gain energy and momentum as they 753 00:28:49,430 --> 00:28:46,399 approach the speed of light 754 00:28:52,070 --> 00:28:49,440 now as they slow to rest tardions 755 00:28:53,430 --> 00:28:52,080 lose all of their momentum but still 756 00:28:55,510 --> 00:28:53,440 have a minimum energy 757 00:28:57,269 --> 00:28:55,520 their their rest mass and its associated 758 00:28:59,110 --> 00:28:57,279 energy content 759 00:29:01,269 --> 00:28:59,120 now moving close to the speed of light 760 00:29:03,909 --> 00:29:01,279 tachyons look similar 761 00:29:05,590 --> 00:29:03,919 but as they accelerate to faster and 762 00:29:06,950 --> 00:29:05,600 faster speeds they do something 763 00:29:09,750 --> 00:29:06,960 different it's their total 764 00:29:10,470 --> 00:29:09,760 energy that goes to zero and their 765 00:29:13,750 --> 00:29:10,480 momentum 766 00:29:14,789 --> 00:29:13,760 that goes to a minimum value so in terms 767 00:29:16,230 --> 00:29:14,799 of space drives 768 00:29:18,149 --> 00:29:16,240 a tachyon would be a something for 769 00:29:20,549 --> 00:29:18,159 nothing particle 770 00:29:22,230 --> 00:29:20,559 you can create if you can create them in 771 00:29:25,430 --> 00:29:22,240 the infinite velocity state 772 00:29:27,430 --> 00:29:25,440 the instantaneous propagation state 773 00:29:29,350 --> 00:29:27,440 they have zero energy and non-zero 774 00:29:31,750 --> 00:29:29,360 momentum you can generate thrust while 775 00:29:33,990 --> 00:29:31,760 expending no energy 776 00:29:36,389 --> 00:29:34,000 uh that same zero energy state is why 777 00:29:38,870 --> 00:29:36,399 quantum theorists hate tachyons 778 00:29:39,990 --> 00:29:38,880 any theory that allows tachyonic states 779 00:29:42,310 --> 00:29:40,000 predicts an infrared 780 00:29:45,510 --> 00:29:42,320 catastrophe where infinite numbers of 781 00:29:47,430 --> 00:29:45,520 zero-energy tachyons get generated 782 00:29:49,110 --> 00:29:47,440 the reason string theorists require 783 00:29:50,950 --> 00:29:49,120 extra spatial dimensions 784 00:29:53,269 --> 00:29:50,960 is to prevent any string states from 785 00:29:56,310 --> 00:29:53,279 being tachyons 786 00:29:56,710 --> 00:29:56,320 if you try to uh do string theory in 787 00:29:58,310 --> 00:29:56,720 just 788 00:30:00,470 --> 00:29:58,320 the four dimensions we think we know 789 00:30:02,870 --> 00:30:00,480 about uh you discover that that the 790 00:30:04,549 --> 00:30:02,880 lowest energy string state is a tachyon 791 00:30:07,029 --> 00:30:04,559 and this makes field theorists very very 792 00:30:10,549 --> 00:30:09,110 and let's go even farther out for a 793 00:30:13,510 --> 00:30:10,559 moment and consider 794 00:30:15,110 --> 00:30:13,520 negative mass the weak energy condition 795 00:30:18,789 --> 00:30:15,120 which i mentioned before 796 00:30:20,789 --> 00:30:18,799 is a feature of general relativity 797 00:30:22,950 --> 00:30:20,799 that does not follow from the field 798 00:30:25,830 --> 00:30:22,960 equations but is 799 00:30:26,389 --> 00:30:25,840 a constraint on what sort of values are 800 00:30:28,389 --> 00:30:26,399 allowed 801 00:30:30,630 --> 00:30:28,399 in the stress energy source term of the 802 00:30:32,789 --> 00:30:30,640 field equation 803 00:30:34,789 --> 00:30:32,799 there are several energy conditions and 804 00:30:37,470 --> 00:30:34,799 all of them are not conclusions 805 00:30:39,430 --> 00:30:37,480 of general relativity but rather 806 00:30:41,190 --> 00:30:39,440 expectations 807 00:30:43,190 --> 00:30:41,200 i tend to think of them these days as 808 00:30:45,510 --> 00:30:43,200 pious hopes 809 00:30:48,950 --> 00:30:45,520 about what sorts of situations are 810 00:30:50,870 --> 00:30:48,960 permitted by non-gravitational physics 811 00:30:53,269 --> 00:30:50,880 the weak energy condition expressed in 812 00:30:57,110 --> 00:30:53,279 words says that energy densities can't 813 00:31:00,870 --> 00:30:59,430 uh unfortunately it's already known to 814 00:31:03,190 --> 00:31:00,880 be false 815 00:31:06,149 --> 00:31:03,200 the casimir effect demonstrates the 816 00:31:08,710 --> 00:31:06,159 existence of a negative energy density 817 00:31:09,590 --> 00:31:08,720 now it's believed though not proven that 818 00:31:12,070 --> 00:31:09,600 a suitably 819 00:31:14,149 --> 00:31:12,080 averaged form of the weak energy 820 00:31:14,710 --> 00:31:14,159 condition still holds in the casimir 821 00:31:17,750 --> 00:31:14,720 effect 822 00:31:20,950 --> 00:31:17,760 but in in its raw form 823 00:31:23,509 --> 00:31:20,960 the the condition does not so even this 824 00:31:25,990 --> 00:31:23,519 partial and provisional violation 825 00:31:29,430 --> 00:31:26,000 prompt speculation that the principle 826 00:31:33,509 --> 00:31:31,909 so what if the weak energy condition is 827 00:31:35,909 --> 00:31:33,519 not a universal rule 828 00:31:37,830 --> 00:31:35,919 but a biased extrapolation from our 829 00:31:39,990 --> 00:31:37,840 limited experience 830 00:31:41,990 --> 00:31:40,000 then it may be possible to create 831 00:31:44,710 --> 00:31:42,000 configurations of matter and fields that 832 00:31:46,789 --> 00:31:44,720 have negative total energy 833 00:31:48,870 --> 00:31:46,799 they would therefore have negative mass 834 00:31:50,549 --> 00:31:48,880 and negative inertia 835 00:31:52,549 --> 00:31:50,559 an object with negative inertia 836 00:31:56,070 --> 00:31:52,559 accelerates in the opposite direction to 837 00:31:59,269 --> 00:31:58,549 now let's think about a spacecraft 838 00:32:02,950 --> 00:31:59,279 attached to an 839 00:32:05,350 --> 00:32:02,960 object of exactly equal negative mass 840 00:32:06,549 --> 00:32:05,360 if the craft now pushes the negative 841 00:32:08,549 --> 00:32:06,559 mass backwards 842 00:32:10,070 --> 00:32:08,559 the reaction will cause it to accelerate 843 00:32:12,389 --> 00:32:10,080 forward 844 00:32:14,389 --> 00:32:12,399 the object with negative inertia will 845 00:32:17,350 --> 00:32:14,399 react to the backward push 846 00:32:19,350 --> 00:32:17,360 by accelerating forward at the same rate 847 00:32:21,029 --> 00:32:19,360 no conservation law is violated 848 00:32:23,110 --> 00:32:21,039 because the total energy and momentum of 849 00:32:26,070 --> 00:32:23,120 the system remains zero no matter how 850 00:32:31,190 --> 00:32:29,430 now why this is unlikely quantum systems 851 00:32:32,230 --> 00:32:31,200 tend to decay into the lowest energy 852 00:32:35,269 --> 00:32:32,240 state available 853 00:32:36,149 --> 00:32:35,279 releasing energy if negative mass states 854 00:32:38,630 --> 00:32:36,159 are possible 855 00:32:40,310 --> 00:32:38,640 they should be ubiquitous but we don't 856 00:32:42,549 --> 00:32:40,320 observe them 857 00:32:43,990 --> 00:32:42,559 uh the negative energy density of the 858 00:32:46,070 --> 00:32:44,000 casimir vacuum 859 00:32:47,590 --> 00:32:46,080 isn't a violation of this statement of 860 00:32:50,389 --> 00:32:47,600 non-observation 861 00:32:52,230 --> 00:32:50,399 because it is only stable under boundary 862 00:32:53,750 --> 00:32:52,240 conditions that embody much higher 863 00:32:55,750 --> 00:32:53,760 positive energy densities 864 00:32:59,350 --> 00:32:55,760 so the system as a whole requires 865 00:33:04,470 --> 00:33:02,470 so an overview of the theory i i hope 866 00:33:06,230 --> 00:33:04,480 i'm on time here 867 00:33:07,990 --> 00:33:06,240 current space propulsion systems have 868 00:33:09,990 --> 00:33:08,000 very limited capabilities 869 00:33:11,830 --> 00:33:10,000 better technology can improve this but 870 00:33:14,710 --> 00:33:11,840 any rocket type drive will be 871 00:33:16,470 --> 00:33:14,720 limited by conservation laws 872 00:33:18,710 --> 00:33:16,480 alternatives to the rocket that are also 873 00:33:19,990 --> 00:33:18,720 bound by these laws have unsatisfactory 874 00:33:21,830 --> 00:33:20,000 features 875 00:33:23,590 --> 00:33:21,840 but there are valid theoretical reasons 876 00:33:25,669 --> 00:33:23,600 for suspecting that these conservation 877 00:33:27,669 --> 00:33:25,679 laws may not actually hold 878 00:33:30,310 --> 00:33:27,679 or it may at least allow apparent local 879 00:33:32,230 --> 00:33:30,320 violations 880 00:33:34,389 --> 00:33:32,240 now even if the theories justifying 881 00:33:36,630 --> 00:33:34,399 these speculative drives are true 882 00:33:38,789 --> 00:33:36,640 useful application is out of the reach 883 00:33:40,789 --> 00:33:38,799 of current technology 884 00:33:43,110 --> 00:33:40,799 now i find it interesting that several 885 00:33:45,750 --> 00:33:43,120 of these drives can be improved 886 00:33:48,710 --> 00:33:45,760 just with advances in material science 887 00:33:50,870 --> 00:33:48,720 rather than more exotic technologies 888 00:33:52,549 --> 00:33:50,880 some of them may be testable or nearly 889 00:33:57,269 --> 00:33:52,559 to the point of being testable 890 00:33:57,279 --> 00:34:04,789 and that's the end of my talk 891 00:34:08,470 --> 00:34:06,630 thank you you are not only on time but 892 00:34:10,069 --> 00:34:08,480 we have uh 893 00:34:11,829 --> 00:34:10,079 a little more than five minutes for 894 00:34:17,829 --> 00:34:11,839 questions 895 00:34:20,710 --> 00:34:19,109 just a quick question york could you 896 00:34:21,990 --> 00:34:20,720 elaborate on the infrared catastrophe 897 00:34:22,389 --> 00:34:22,000 you mentioned i didn't catch what that 898 00:34:25,669 --> 00:34:22,399 was 899 00:34:27,990 --> 00:34:25,679 about uh okay the 900 00:34:28,790 --> 00:34:28,000 the infrared catastrophe is basically 901 00:34:31,750 --> 00:34:28,800 because 902 00:34:32,230 --> 00:34:31,760 there there there is a state in which 903 00:34:35,669 --> 00:34:32,240 attack 904 00:34:39,109 --> 00:34:35,679 a new tachyon can be created without 905 00:34:41,669 --> 00:34:39,119 any expenditure of energies uh 906 00:34:44,550 --> 00:34:41,679 when you study the the feynman diagrams 907 00:34:47,109 --> 00:34:44,560 for potential tachyonic interactions 908 00:34:48,069 --> 00:34:47,119 uh you basically find an infinite 909 00:34:51,109 --> 00:34:48,079 cross-section 910 00:34:55,750 --> 00:34:51,119 for emitting tachyons in a certain state 911 00:34:59,030 --> 00:34:55,760 uh this this leads to something like a 912 00:35:01,910 --> 00:34:59,040 a direct vacuum hypothesis 913 00:35:04,230 --> 00:35:01,920 where the cosmos should already be full 914 00:35:05,190 --> 00:35:04,240 of of tachyons in a certain state of 915 00:35:07,190 --> 00:35:05,200 motion and 916 00:35:08,950 --> 00:35:07,200 of course because we don't actually have 917 00:35:12,390 --> 00:35:08,960 a good theory 918 00:35:14,470 --> 00:35:12,400 for tachyon interactions we we don't 919 00:35:15,829 --> 00:35:14,480 know what exactly that universe would 920 00:35:18,550 --> 00:35:15,839 look like but we don't think we're 921 00:35:22,470 --> 00:35:20,069 oh it's called infrared because it 922 00:35:23,990 --> 00:35:22,480 involves dropping to zero energy 923 00:35:28,470 --> 00:35:24,000 it's in contrast to the genes 924 00:35:33,430 --> 00:35:31,030 york i think that the um the solid 925 00:35:35,190 --> 00:35:33,440 rubber tire model might be recoverable 926 00:35:38,310 --> 00:35:35,200 so that the theoretical 927 00:35:40,550 --> 00:35:38,320 models are not disproven because 928 00:35:43,349 --> 00:35:40,560 the compression expansion of rubber has 929 00:35:44,950 --> 00:35:43,359 hysteresis that shows up as heat 930 00:35:46,550 --> 00:35:44,960 the energy gain that supposedly was 931 00:35:47,750 --> 00:35:46,560 coming from this was instantly being 932 00:35:49,990 --> 00:35:47,760 dissipated just in 933 00:35:52,150 --> 00:35:50,000 in the heat and the rolling of the of 934 00:35:55,190 --> 00:35:52,160 the wheels 935 00:35:56,390 --> 00:35:55,200 well the issue with the compression and 936 00:36:00,870 --> 00:35:56,400 expansion doesn't 937 00:36:04,150 --> 00:36:00,880 relate to energy as such but to 938 00:36:06,790 --> 00:36:04,160 the inertial transient the work done 939 00:36:07,829 --> 00:36:06,800 on the tire which is where the heat 940 00:36:10,470 --> 00:36:07,839 comes from 941 00:36:12,790 --> 00:36:10,480 that then has to be dissipated yes 942 00:36:15,030 --> 00:36:12,800 that's changing the energy density 943 00:36:16,310 --> 00:36:15,040 but that is many orders of magnitude 944 00:36:19,109 --> 00:36:16,320 smaller than 945 00:36:21,190 --> 00:36:19,119 the change in the mass density created 946 00:36:23,589 --> 00:36:21,200 by the compression of the rubber 947 00:36:24,829 --> 00:36:23,599 uh therefore at best that becomes a 948 00:36:27,829 --> 00:36:24,839 minuscule 949 00:36:28,470 --> 00:36:27,839 correction um now it's entirely possible 950 00:36:32,069 --> 00:36:28,480 that there are 951 00:36:35,190 --> 00:36:32,079 other considerations in the theory that 952 00:36:36,390 --> 00:36:35,200 avert this difficulty but as it stands 953 00:36:38,829 --> 00:36:36,400 the equation as 954 00:36:40,870 --> 00:36:38,839 as written seems to be making a very odd 955 00:36:45,910 --> 00:36:40,880 prediction 956 00:36:49,589 --> 00:36:47,829 uh what if things are not continuous 957 00:36:52,069 --> 00:36:49,599 could we be a little bit more specific 958 00:36:59,670 --> 00:36:56,150 what if space and time are discrete 959 00:37:02,470 --> 00:36:59,680 um if space and time are discrete 960 00:37:03,990 --> 00:37:02,480 it becomes very difficult to understand 961 00:37:07,349 --> 00:37:04,000 some aspects of 962 00:37:10,630 --> 00:37:07,359 the lawrence transforms um 963 00:37:11,270 --> 00:37:10,640 and of course general relativity itself 964 00:37:14,550 --> 00:37:11,280 is 965 00:37:16,310 --> 00:37:14,560 written in the form of a field equation 966 00:37:18,550 --> 00:37:16,320 on continuous quantities 967 00:37:20,829 --> 00:37:18,560 to construct a discrete version you have 968 00:37:22,230 --> 00:37:20,839 to make significant changes in the 969 00:37:23,910 --> 00:37:22,240 theory 970 00:37:25,510 --> 00:37:23,920 since i was working within the context 971 00:37:27,510 --> 00:37:25,520 of that theory 972 00:37:40,470 --> 00:37:27,520 i didn't really look into how the 973 00:37:44,310 --> 00:37:42,630 york i can't speak with authority on 974 00:37:45,670 --> 00:37:44,320 this but i worked for a company that 975 00:37:50,390 --> 00:37:45,680 made 976 00:37:52,630 --> 00:37:50,400 closures for vials of injectable drugs 977 00:37:53,430 --> 00:37:52,640 and they typically were composed of a 978 00:37:56,790 --> 00:37:53,440 molded 979 00:37:59,349 --> 00:37:56,800 rubber stopper and a uh an aluminum cap 980 00:38:02,710 --> 00:37:59,359 that held the stopper in place 981 00:38:06,310 --> 00:38:02,720 and uh my colleagues in the the 982 00:38:06,870 --> 00:38:06,320 rubber division of that company insisted 983 00:38:10,310 --> 00:38:06,880 that 984 00:38:13,030 --> 00:38:10,320 rubber is not compressible it's 985 00:38:14,870 --> 00:38:13,040 like an elastic incompressible liquid 986 00:38:16,829 --> 00:38:14,880 i've never proved it myself 987 00:38:21,190 --> 00:38:16,839 but it might might be something to 988 00:38:24,550 --> 00:38:23,589 uh strictly speaking there is no such 989 00:38:27,510 --> 00:38:24,560 thing as an 990 00:38:27,910 --> 00:38:27,520 incompressible material every material 991 00:38:31,829 --> 00:38:27,920 has 992 00:38:34,950 --> 00:38:31,839 shown up with one of 993 00:38:36,630 --> 00:38:34,960 infinite value therefore uh when you 994 00:38:37,510 --> 00:38:36,640 apply pressure to things you can 995 00:38:41,190 --> 00:38:37,520 compress them 996 00:38:46,550 --> 00:38:44,790 one more question um yeah york maybe we 997 00:38:47,670 --> 00:38:46,560 can clarify that when it comes to 998 00:38:49,030 --> 00:38:47,680 compressing things you use the bulk 999 00:38:50,550 --> 00:38:49,040 modulus and you probably want to 1000 00:38:52,069 --> 00:38:50,560 compress it from all directions like put 1001 00:38:53,670 --> 00:38:52,079 it in and put it in a 1002 00:38:55,030 --> 00:38:53,680 pressure chamber but if you squeeze it 1003 00:38:56,150 --> 00:38:55,040 in one direction it can squeeze out in 1004 00:38:57,430 --> 00:38:56,160 another direction 1005 00:38:59,349 --> 00:38:57,440 i think that maybe that's what he's 1006 00:38:59,990 --> 00:38:59,359 referring to in which case if you push 1007 00:39:01,510 --> 00:39:00,000 the tire 1008 00:39:03,190 --> 00:39:01,520 down in one direction it can squeeze out 1009 00:39:04,069 --> 00:39:03,200 in another direction without necessarily 1010 00:39:08,390 --> 00:39:04,079 compressing 1011 00:39:10,710 --> 00:39:08,400 maybe that's what he's saying um 1012 00:39:12,630 --> 00:39:10,720 that might very well be a process that 1013 00:39:14,470 --> 00:39:12,640 is happening and i would expect it to be 1014 00:39:16,870 --> 00:39:14,480 happening but in a 1015 00:39:17,990 --> 00:39:16,880 solid rubber tire under lateral 1016 00:39:21,510 --> 00:39:18,000 compression 1017 00:39:23,990 --> 00:39:21,520 the rubber to either side of the 1018 00:39:24,950 --> 00:39:24,000 compressing force has to be contributing 1019 00:39:27,750 --> 00:39:24,960 something 1020 00:39:29,990 --> 00:39:27,760 to holding it in place and creating an 1021 00:39:32,390 --> 00:39:30,000 actual density increase