| 0:00:05 | the search for the fundamental unifying theory of quantum gravity |
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| 0:00:10 | one of the key question is |
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| 0:00:13 | how should space time we describe a very small scale as small as the planks |
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| 0:00:18 | can tend to the my study five made |
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| 0:00:23 | space time be described as a continuous manifold |
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| 0:00:26 | as general relativity with to do this |
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| 0:00:29 | for space time be described as a discrete structure |
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| 0:00:32 | as may be something we would indicate |
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| 0:00:36 | i mean quantum gravity cog editing their entrenched caps on both sides of the scratch |
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| 0:00:43 | and both of could argue |
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| 0:00:46 | now the message in this paper |
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| 0:00:50 | is that both maybe right |
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| 0:00:53 | space time could be simultaneously continuous and discrete |
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| 0:00:58 | in mathematical the exactly the same way to information |
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| 0:01:02 | can be simultaneously continuous and discrete |
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| 0:01:10 | the fact that information can be simultaneously continuous and discrete |
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| 0:01:15 | the top of information |
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| 0:01:18 | and the corresponding mathematics |
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| 0:01:20 | is in use every modern signal processing and communication engineer |
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| 0:01:26 | for example |
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| 0:01:27 | a continuous signal such as music signal |
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| 0:01:30 | might be completely two |
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| 0:01:33 | by attitudes |
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| 0:01:35 | at discrete points continuous information of course has to process some special property |
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| 0:01:41 | if it is to be equivalent to the screen |
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| 0:01:45 | and that special property |
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| 0:01:47 | is band limitation |
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| 0:01:51 | in this case here |
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| 0:01:52 | it means that the music signal |
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| 0:01:55 | cannot have anyway things smaller than some fine minimal |
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| 0:02:01 | in this case the contains signal |
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| 0:02:03 | is then completely determined everywhere |
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| 0:02:06 | from a set of attitudes samples |
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| 0:02:11 | which have been taken at an average i think that is at most |
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| 0:02:17 | half of my |
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| 0:02:20 | thanks for the |
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| 0:02:24 | it has been shown in previous work |
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| 0:02:26 | that was a coffee as well |
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| 0:02:30 | back then attention |
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| 0:02:32 | mainly in the fall of natural kind of attacks k |
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| 0:02:40 | here you paper |
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| 0:02:42 | it is explicitly show that not only |
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| 0:02:45 | e |
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| 0:02:47 | well with space time can be compared to the limited but also speech timing so |
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| 0:02:53 | could be confirmed that number and therefore |
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| 0:02:57 | simultaneously in continuous and discrete |
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| 0:03:00 | this provides |
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| 0:03:01 | instead of two methods of mathematical tools that could be of interest |
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| 0:03:05 | twenty one working frequency work |
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| 0:03:08 | for example |
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| 0:03:11 | discrete series of gravity could be given continuous representation for example to study the number |
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| 0:03:18 | of how continuously for the right |
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| 0:03:21 | but also continuous series of random variable discrete representations for example for the purpose of |
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| 0:03:28 | america |
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| 0:03:32 | apart from new mathematical tools from new technical tools is there any new is the |
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| 0:03:38 | coding gain |
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| 0:03:40 | well it turns out |
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| 0:03:41 | that's |
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| 0:03:43 | in this new framework |
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| 0:03:45 | "'cause" which requires additional interpretation |
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| 0:03:48 | could be sure |
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| 0:03:49 | can also be viewed |
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| 0:03:51 | as being a local modulation of the density of degrees of freedom in space-time |
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| 0:03:58 | this means that |
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| 0:04:00 | the interaction |
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| 0:04:02 | being the integral over the reach a scalar |
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| 0:04:06 | is actually hardly the integral intensity of degrees of freedom and therefore in a finite |
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| 0:04:11 | volume |
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| 0:04:13 | it is just the overall |
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| 0:04:15 | number of decrease |
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| 0:04:18 | the fact that the added an action can actually be reformulated information theoretic terms in |
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| 0:04:23 | this way |
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| 0:04:24 | i think is yet another indication that perhaps or the laws of nature can be |
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| 0:04:29 | reformulated information thirty to |
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| 0:04:33 | and maybe they should all be formulated in information theoretic terms signal to make probably |
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| 0:04:39 | after their extreme circumstances for example in classical physics |
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| 0:04:44 | where |
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| 0:04:45 | the traditional notions |
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| 0:04:48 | such as the distance for a time interval around that lose operational maybe |
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| 0:04:54 | in all circumstances we don't even know how we could measure them |
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| 0:04:59 | in principle |
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| 0:05:00 | and yet |
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| 0:05:02 | even in this extreme conditions |
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| 0:05:06 | it is always possible to quantify how much information goes into process and how much |
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| 0:05:11 | information comes not |
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| 0:05:13 | therefore |
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| 0:05:14 | and then |
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| 0:05:16 | it would appear that the |
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| 0:05:18 | motion of vq |
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| 0:05:21 | is more robust and therefore have more fundamental |
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| 0:05:26 | then the traditional notions such that links for a mass |
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| 0:05:32 | or time |
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| 0:05:34 | maybe due unit of it is more fundamental than the geneva meet the unigram or |
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| 0:05:39 | something |
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| 0:05:42 | well i open questions that |
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| 0:05:45 | so far this work has been done only for scalar filters on space time is |
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| 0:05:51 | that have you can see |
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| 0:05:53 | the study of the original signature space time and interacting series was five is really |
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| 0:05:58 | on the very beginning |
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| 0:06:00 | this means that there is this one interesting work to be done |
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