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SUMMARY:Conjectures on SpaceTime
DTSTART;VALUE=DATE-TIME:20190925T105500Z
DTEND;VALUE=DATE-TIME:20190925T110000Z
DTSTAMP;VALUE=DATE-TIME:20200219T013241Z
UID:indico-contribution-5182@indico.ict.inaf.it
DESCRIPTION:Speakers: Alessandro Capurso ()\nIntroduction\n------------\n\
nThe current description of SpaceTime follows Quantum Mechanics principles
at the smallest scales\, while it is commonly associated to General Relat
ivity in cosmological terms. The opposite perspectives eventually differ i
n terms of discrete *versus* continuum analysis.\nTime seems *vanishing* i
n the latest formulations of Quantum theories (Loop Quantum Gravity)\, as
a static spin-foam that describes spatially entangled loops and *forgets*
the importance of *Memory*. On the other hand\, Time is described in relat
ivity terms as a *continuum existing block*\, of which we perceive instant
s that are part of an always existing word-line\, like *worms* in a 4D-pan
cake with the tail on the birth and the head on the last instant of existe
nce. \nIt seems that our latest descriptions of Time point at *everything*
(in relativity) or *nothing* (in quantum) but still strive to understand
entanglement\, coherence and eventually evolution in Time.\n\nRecently\, s
everal efforts have been done to reestablish a more *natural perspective*
on Science\, able to better face not only SpaceTime fabric description\, b
ut also debate on deeper *philosophical questions* concerning Time and its
role in the Universe. \nAn extended review of the importance of Time in e
lementary physics\, as well as in many other disciplines\, is given by Lee
Smolin in [1]. \nThe coming ideas follow a similar path\, trying to conti
nue the effort towards a physical description of SpaceTime that seems to *
frame better* quantum and cosmological scales with natural evolution.\n\n\
n\n\nAbstract and Summary\n--------------------\n\nThe aim of this contrib
ution is to propose new conjectures on SpaceTime variables and their descr
iption\, through the concepts of *network*\, *entropy* and *coherent decod
ing* (borrowed from Information Theory and quantum computation) and to off
er a possible wider perspective on SpaceTime fabric and evolution.\nGiven
the *unnatural physical existence* of a *Real continuum* and consequent *i
nfinities*\, in the context of a discrete universe on space and even time
on a Planck scale (as discussed in [2])\, starting from the definition of
a *new reference frame* based on an Absolute Time T[k]\, an imaginary time
*ict* and on the relative *momenta*\, a possible interpretation of AdS/CF
T correspondence\, SpaceTime fabric and elementary particles behavior is p
roposed.\n\nThe Absolute Time is described in the *AdS bulk* of the Maldac
ena correspondence. It is represented as *entangled memory links* (between
imaginary points on the surface) that develop highlighting *surface corre
lation* in a wavelet decomposition of the local pulse (phase shift info in
respect to the Absolute Time reference pulse). \nThe memory links are des
cribed as well as a *deep neural network* (growing in T[k]) that *stores a
nd project* the evolving surface information\, as discussed in [3]. The in
formation stored and projected through the Absolute Time is interpreted in
the context of SpaceTime fabric as the *most efficient quantum computatio
n network*\, as proposed also in [4]\, [5] and [6].\n\nImaginary time\, fo
llowing Hawking intuition\, maps the *surface* of the AdS/CFT corresponden
ce to a *diffusive space distance* in a relativistic and flat space\, in c
oherence *c* with the pulse of T[k]. It defines\, at any given k (*Now*)\,
the full *current 3D space*\, from -∞@T[k-1] to +∞@T[k+1]. \nIn an ev
olving 4D-SpaceTime\, the perceived 3D Space is interpreted as *emerging*\
, in each *current Now*\, as the current configuration of *SpaceTime infor
mation*. It is distributed on the Universe *Surface of Existence* along *i
ct* at a given k\, giving 2 probabilistic Real degrees of freedom in each
surface bit and the correlation derived on the memory-links\, entangled al
ong the past instants in the Absolute Time.\n\nThe *momenta* involved repr
esent the *phase variations* (along both times in respect to the relative
*reference of coherence*) and develop as in a logarithmic spiral\, followi
ng a relativistic description of the *information space* and *coherent tim
e* on the surface of the bulk. \nA mathematical description of the mention
ed momenta in relativistic terms is proposed.\n\nBosons are described as *
single qubits of information* and *elementary vibrating strings*\, flowing
with no *inertia* on the surface defined by the imaginary time.\nMatter e
lementary particles\, as *Entities* in SpaceTime\, are described as *Netwo
rks* of imaginary points sharing a *common beat* (decoding as a *coherent-
Self* in T[k]). They emerge from the entanglement in the Absolute Time of
surface strings\, that reduce their local degrees of freedom to become *in
terconnected in the bulk*\, pulsing as a single\, persisting Self (debated
in [7]\, [8]).\n\nFollowing the conjectures proposed and the parallel wit
h *information encoded* in the entanglement of surface strings in T[k]\, t
he Dirac equation is mapped to Shannon *Entropy*\, as a *summary* of the i
nformation content *shown on the surface*\, mathematically expressed as th
e sum of the information derived over the variations along the *past loopy
ticks* of the Absolute Time.\nThe geometry proposed is then applied to Da
rk Matter\, interpreted as diffusive *wrinkles* in the local fabric\, and
to Black Holes\, as coherent Self and quantum networks showing maximum sur
face entropy at current T[k]. \nBlack holes are described\, on the horizon
\, as *1 tick away* from the *coherent Now* (as a result of the *SpaceTime
decoding algorithm* local computation on both *momenta*). \nThe horizon r
esults *too out of phase* in the local *current T[k] coherence* to be *dec
oded* in the surrounding 3D local space (consequently with very little cha
nce of receiving\, on the outside\, any information).\nFurther reasoning o
n SpaceTime *info compression algorithm* and relative computational effici
ency as a quantum computer are presented in the context of fabric entangle
ment (as *living memory-roots* through past events) and maximum entropy on
the surface (as equivalent to Shannon max *info compression*).\n\nTo illu
strate possible wider similarities and consequences of the proposed conjec
tures\, the *Evolution* of Network-Entities and of information is describe
d as cycles of transformation in *ict* and new gained persistence in T[k]\
, in a growing of global surface entropy and local complexities\, levels o
f abstraction\, efficiency in equilibrium and Self-gained emerging propert
ies.\nFinally\, a possible interpretation of the *Origin* is proposed\, re
winding back both times\, in the context of Absolute Time and imaginary ti
me emerging from a *no-boundary* alike model (Hartle and Hawking).\n\nFurt
her developments on the proposed conjectures are still required. \nA wider
mathematical and physical analysis is suggested to extend the comprehensi
on of information in SpaceTime and to evaluate the implications on telecom
munication and energy production. \nA deeper philosophical understanding i
s expected.\n\nThe full paper is available at [9].\n\n \n\n\n\n\n\nReferen
ces\n----------\n\n[1] L. Smolin\, Time Reborn: From the Crisis in Physic
s to the Future of the Universe\, 2013. \n[2] C. Rovelli and M. Christodo
ulou\, “On the possibility of experimental detection of the discreteness
of time” arXiv:1812.01542v2\, 2018. \n[3] X.-L. Qi\, “Exact holograp
hic mapping and emergent space-time geometry” arXiv:1309.6282v1\, 2013.
\n[4] L. Zhou and X. Dong\, “Geometrization of deep networks for the in
terpretability of deep learning systems” arXiv:1901.02354v2\, 2019. \n[5
] L. Zhou and X. Dong\, “Spacetime as the optimal generative network of
quantum states: a roadmap to QM=GR?”arXiv:1804.07908v1\, 2018. \n[6] P
. Caputa and J. M. Magan\, “Quantum Computation as Gravity” PHYSICAL R
EVIEW LETTERS\, pp. 122\, 231302\, 2019. \n[7] G. Jaroszkiewicz and J. Ea
kins\, “Particle decay processes\, the quantum Zeno effect and the conti
nuity of time” arXiv:quant-ph/0608248\, 2006. \n[8] T. Ullrich\, D. Kha
rzeev and Z. Tu\, “The EPR paradox and quantum entanglement at sub-nucle
onic scales” arXiv:1904.11974\, 17 May 2019. \n[9] A. Capurso\, “Conj
ectures on SpaceTime” \nAvailable: http://www.tempiodicrono.net/download
/Capurso-Conjectures_paper.pdf.\n\nhttps://indico.ict.inaf.it/event/751/co
ntributions/5182/
LOCATION:Turin
URL:https://indico.ict.inaf.it/event/751/contributions/5182/
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