linkedin post 2021-07-04 12:05:06

linkedin post 2021-07-04 12:05:06

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DUAL CHANGES. “Another example of how a new language changes a language that preceded it is the way the emergence of abstract science affected mathematics with scientists developing new kinds of mathematics to describe nature. Descartes’s analytic geometry and Newton’s differential calculus being two examples of this among many other examples.” https://link.springer.com/chapter/10.1007/978-3-030-59177-9_13 View in LinkedIn
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linkedin post 2021-07-02 04:08:32

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SO ENDS this section on black holes, one of the most extreme and fascinating phenomena in cosmology. Obviously, this was but a nibble at the subject, which is enormous and is covered by thousands of papers. Now we transition into how black holes give birth to white holes, their lesser-known offspring. https://lnkd.in/d9JV8md View in LinkedIn
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linkedin post 2021-07-04 12:04:12

linkedin post 2021-07-04 12:04:12

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CHANGING MEDIUM. “This observation of the effects of phonetic writing supports the notion that mathematics will change in the age of information, i.e. the age of computers and the Internet. Mathematics is, in fact, changing as is reported in the Wikipedia article Computer-assisted proof.” https://link.springer.com/chapter/10.1007/978-3-030-59177-9_13 View in LinkedIn
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linkedin post 2021-07-04 12:02:42

linkedin post 2021-07-04 12:02:42

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INTERLOCKING SYSTEMS. “Each mode of language incorporates the features of the previous modes. The Internet incorporates all of the features of computing which in turn incorporates the features of all the previous modes: speech, writing, mathematics, and science. Science incorporates speech, writing, and mathematics. Writing and mathematics arose at the same moment in history. They therefore only incorporated the features of speech, albeit different ones.” https://link.springer.com/chapter/10.1007/978-3-030-59177-9_13 View in LinkedIn
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linkedin post 2021-07-02 04:06:07

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COEVOLUTION. “Overall, we conclude that the models presented here provide a plausible attempt to understand the complex scenario of BH and galaxy co-evolution, and to predict the downsizing trend within the framework of hierarchical clustering. However, there still remain many uncertainties in modelling the formation and evolution of BHs, which hopefully ongoing and future observational facilities will help to constrain.” (BH = black hole). https://lnkd.in/d9JV8md View in LinkedIn
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linkedin post 2021-07-05 03:41:44

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BACK HOLE —> WHITE HOLE. “If such a transition, suggested by Loop Quantum Gravity, can be firmly established, the conventional holographic interpretation of the fine-grained entropy of a black hole must be abandoned. It would also be a counter-example to the generalized second law and quantum singularity theorems.” https://lnkd.in/dUKnus8 View in LinkedIn
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linkedin post 2021-07-05 03:37:11

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TOUGH SENTENCE, TOUGH CONCEPT. “The quantum evolution of the geometry outside a collapsing shell is described by a smoothly evolving spherically symmetric effective metric, with a transition from trapped surfaces in the black hole to anti-trapped surfaces in the white hole at a spacelike hypersurface on which the circumferential radius has a minimum Planck-scale value.” https://lnkd.in/dUKnus8 View in LinkedIn
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