Monday, October 14, 2019

thermodynamics - Is there an equivalence between information, energy and matter?



Consider the physical world as made of information, with energy and matter as incidentals.



This statement must be placed in the context of the holographic principle and the works of Bekenstein ...



Indeed, according to Bekenstein



the thermodynamic entropy and Shannon entropy are conceptually equivalent.


the number of arrangements that are counted by Boltzmann entropy reflects the amount of Shannon information that would be needed to implement any particular arrangement ...



...of matter and energy


The only fundamental difference between the thermodynamic entropy of physics and the entropy of Shannon lies in the units of measurement; the first is expressed in units of energy divided by the temperature, the second in "bits" of information essentially dimensionless.


moreover, the Bekenstein limit asserts that there is a maximum to the amount of information that can potentially be stored in a given region of space that has a finite amount of energy is similar to the holographic principle and that this finally returns to say that the ultimate particle is an information bit (1 or 0).


Can we talk about an equivalence of information, energy and matter ...?


EDIT:



To enlarge the context ,...


Energy and matter


As Einstein showed us, E = MC^2, there is equivalence between mass and energy


Information is energy


Information is a form of energy; indeed to store or transmit information it takes energy


and for his reciproque


energy is information


indeed, Photons emitted by any source, in the form of radiation such as for example stars, these carry information on the source itself its location in space and time, its colors and temperatures, its atomic and molecular composition, its speed of rotation and its direction of movement, ..




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