Arrow of time determined by life´s easier direction for computati

7/31/2019 Arrow of time determined by lifes easier direction for computati

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Arrow of time determined by

lifes easiest direction forcomputationEntropy, Time and life

(Alberto G.Corona 2005 [email protected])

you are here


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Executive summary

Premises The universe is isomorphic with some mathematical

manifold As many universes as mathematical structures

To argue about The living beings compute to self preserve. Therefore life must proceed in a direction where events are

predictable. Some mathematical structures have trajectories in which

such computability is possible. These trajectories, when observed from outside their

manifold, show self preserving structures due to the

homeostatic computations. This is the definition of life and arrow of time.


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Life is computation

Living beings maintain homoeostasis by making predictionsabout the environment so that they anticipate. So they mustcompute.

Computation is not only at the brain, but also at te chemical

level. Plants and bacteria also compute. chains of chemicalreactions are analogous to algorithms in a computerlanguage. its purpose is to produce an ouput that is goodfor the organism, given an input.

To open the mouth in the precise moment that the small fishpass nearby, the big fish has to calculate in advance thesmall fish trajectory.

Even a seed has to compute the right moment forgermination given temperature, humidity etc.


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The increase of entropy is a precondition for life Therefore, the low entropy of the universe at the

beginning is a consequence of the anthropic principle(and the concept of "begining" too)

For computational restrictions, evolution and lifeoperates in the direction of systems that go from lowerto higuer probabilities

Causality and time itself is a psichological experiece, a

product of the way life can predict to survive.

Reichenbach direction of time: time proceed in thedirection of positive gradients of entrophy

Time is just a perception product of the computationsliving beings have to do to survive and specially,

conscientious beings that learn from experience.

What I want to demonstrate


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Mathematical Multiverse Hypotesis(MMH)

Reality is mathematicalHilbert: mathematics means "absence of contradictions"Progressive unification of phisical laws suggest that ouruniverse appears to be isomorphic with a single mathematical

structure.Tegmark: each mathematical structure creates its own universehttp://space.mit.edu/home/tegmark/toe.htmlTo avoid paradoxes, Gdel incompleteness, non computabilitya subset with good properties are the decidable, computablestructures

(tegmarkThe Mathematical Universe http://tinyurl.com/6zvv5h)
http://space.mit.edu/home/tegmark/toe.htmlhttp://tinyurl.com/6zvv5hhttp://tinyurl.com/6zvv5hhttp://space.mit.edu/home/tegmark/toe.html


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Life as criteria for universe existence

According with MMH, existence of self aware structures(SAS) is the requirement for an observable universe.

An alternative criteria for existence may be the existence oflife, understood as self preserving structures (so they must

compute) without mathematical restrictions a priori Life then is not a criteria for observability but for existence. But life and natural selection demands a mathematical

universe somehow Existence of Intelligent life (self aware structures) remains as

the criteria for observability. This is not a topic of this presentation. A mathematical universe hypothesis is accepted as starting

point.
https://docs.google.com/Doc?docid=0AW-x2MmiuA32ZGQ1cm03cXFfMTk4YzR4cnJ4NnE&hl=es#https://docs.google.com/Doc?docid=0AW-x2MmiuA32ZGQ1cm03cXFfMTk4YzR4cnJ4NnE&hl=es#https://docs.google.com/Doc?docid=0AW-x2MmiuA32ZGQ1cm03cXFfMTk4YzR4cnJ4NnE&hl=es#https://docs.google.com/Doc?docid=0AW-x2MmiuA32ZGQ1cm03cXFfMTk4YzR4cnJ4NnE&hl=es#


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According with general relativity, time is local, there is noabsolute notion of simultaneity, it depends on theobserver.

All natural laws (KUN) are reversible, this do not match

with experience. Natural laws do not distinguish forward or backwards in

time Therefore, causation is also an illusion caused by the

arrow in which life and natural selection flow due tocomputational restrictions (forward)

Causation


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What "life computes" means in the static mathematicalfigure of an spatio-temporal, immutable universe?

Computations need computers and data. They need energy andbuilding materials and sensors. Living beings have to transportthem.

To permit life, an Universe must facilitate smooth physical lawsand a direction in which predictions are feasible with a small set ofinputs and computational load. This direction is locally perceived asarrow of time.

Seeing from outside, living beings and his environment formintermingled trajectories in the space-time that maintain low entropyalong their paths thanks to apropriate interactions of his

constituent particles and the environment. For the time-aware living being these internal collisions are the

computations that permits life and, if intelligent, interpret pastinteractions with the external world as causalities, anticipations,and sucessful actions for survival,
http://ilevolucionista.blogspot.com/2008/06/ockham-razor-and-genetic-algoritms-life.htmlhttp://ilevolucionista.blogspot.com/2008/06/ockham-razor-and-genetic-algoritms-life.htmlhttp://ilevolucionista.blogspot.com/2008/06/ockham-razor-and-genetic-algoritms-life.html


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Forward (in the arrow of time): Heat is applied to water, waterevaporates.o Molecular collisions and photons excitate vibration in water

molecules, that evaporate. Backward (in reverse arrow of time): very unlikely and fortunate

molecular collisiona makes water molecules to increase itsspeed in the down direction (while air molecules decrease itsown). Very unlikely, their directions make them to join andvery unlikely further collisions make then go down to the liquidwater of the recipient

Causation and effects. forward and backwardexamples


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Forward:o electrons trough a resistence in the light bulb produces

infrared and visible photons that escape outside Backwards

o Very unlikely, reflected photons are focused in the lightbulb. The electrons of the philament absorb the photonsand its speed increases. Very unlikely their directions arealigned so that their movement produce electricity back

Causation. forward and backward examples 2electric light bulb

Causation forward and backward examples 2


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Forward (entropy increase):o A ninja fall from a buildingo The legs muscles tighten to mitigate the impact, in

the process, heat radiation that is absorbed bysurrounding air molecules

Backward (entropy decrease):

o Very unlikely the surrounding air molecules emitinfrared photons that impact the muscular fibers ina way that they add to the energy ofmuscle contraction and the ninja jumps back tothe top of the building. Air in the ground is coldernow.

Causation. forward and backward examples 2backward ninja jumps


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Entropy in terms of micro and macrostates

A single macroscopic state (you in your room reading this)has many microscopic states (the possible combinations ofpositions and velocities of all the particles in the room).

A macrostate has more entropy than other when the number

of possible combinations of microscopic states is greater. Aninja in the ground after the forward jump and thesurrounding hot air has more entropy than the ninja in thetop of the building, because higer temperature has morepossible combinations of particle speeds.

If I were living in the reverse arrow of time, to predict that theninja in the ground flexing his legs will jump to a three floorbuilding I have to track the concrete microscopic state of theninja, that is the positions and velocities of all the particles in

the legs of the ninja plus the surrounding air molecules In the ri ht arrow of time I can do an educated uess of

computational needs for survival in forward and backward arrow of time


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computational needs for survival in forward and backward arrow of time


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Distance in space-time is well defined Simultaneity appears when two objects

are in the same space and time

coordinates Space-time is four dimensional Time is an arbitrary name, it is the

direction of entropy increase Particle trayectories must not loop in the

entropic arrow or causality may not beextracted


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omputation in other arbitrary direction is even more difficult


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In four-dimensional coordinates, when two particles touch in the samemoment of time no matter where time coordinate points to. however theweird time being see the particle going to and coming back from collisionbefore seeing the collision. Their computations must be very difficult

Collision betweenTwo particles inspace

Collision betweenA particle in the "past"With other in the "future"They bounce back totheir time

Ordinary time Weird time

omputation in other arbitrary direction is even more difficult

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Arrow of time determined by life´s easier direction for computati