Science coffee 2019.09.06

1. The University of Genoa (proudly) presents….
AKA back to multidisciplinary (space) science

2. CIAO A TUTTI!
• My name is Sante and I used to be
one of you some time ago.
• I am a theoretical physicist and
used to work at the Instítuto
Superior Técnico in Lisbon…
• But I am about to change job.
• In my new position I will conduct
multidisciplinary studies that
connects General Relativity and its
mathematical tools with other fields.
• Today I will show you briefly some
ideas I will be working on….

3. RPS
• RPS have been one of the most studied
ACT topics in fundamental physics in
the past
• RPS is a generalisation of GPS which
(properly) accounts for relativistic effects
• The RPS system studied so far need:
continuous broadcasting by the
satellites
a priori knowledge of the trajectories,
initial conditions, geodesic tracing
• We have extended on this…

4. IDSS RPS
IDSS
RPS
Discrete
Signal don’t need
to be continuous
Simple
beacons only use clocks
user does no need a clock
Instantaneous
User=Event
but able to determine
her worldliness
Self-calibrating
No synchronisation
No IC setting
No beacon geodesic tracing

5. • The advantages of IDSS RPS are evident:
No need for the user to have complex clocks
to deduce her position with accuracy
No need to perform complex calibration
phases, almost completely eliminate ground
stations
No problem with discontinues signals due to
technical problems, natural events
• So far we have some results in 2+1 spacetimes
• A generalisation to 3+1 spacetimes has been
completed yesterday (literally)
• We are planning now the work on considering less
symmetric settings.
c = (tc, x
0
t
x
1
p1
p0
p3
p2
p5
p4
p7
c = (tc,
0
t
x
1
p1
p0
p3
p2
p5
p4
p7
IDSS RPS
C
p0 p1
p7
p2
p8
p3 p6p4 p5
…
p13p12p14p9 p19p15p11p10 p20p18p17p16

6. Metamaterials & ATA
Text
How we want to achieve this:
L. Bergamin (KBP) Transformation Optics ESTEC 4 / 9
The transformational principle for metamaterial design is not too
difficult:
However, it works only with (wave) equations, which can be
written in covariant form. What about other wave equations?

7. Analogue Gravity
We came out with the concept of Analogue Transformational
Acoustics, which enable us to design a number of acoustic devices
It is well known now that the some non relativistic systems can
be mapped to relativistic ones.
While I was at ACT I studied the case of control of acoustic
waves in media.

8. ATA
ABSTRACT SPACETIME
LABORATORY SPACE
2
3
5
4
Rename to
Map to analogue model
Transformation
Solution:
Analogue equation
Coefficients:
System:
~
1
Related by
Map back to laboratory
model
Laboratory equation
Analogue equation
Coefficients:
Transformed analogue equation
Coefficients:
Medium: (virtual)
Solution:
System:
Laboratory equation
Medium: (real)
System:
System:
System: (renamed)
( , )t x ( , )t x
( , )t xF ( , )t xFf
C ( , )C t x
ACS
AC AD:f S S®
D ( , )C t x
ADS
ADS
D ( , )C t x
V V( )M C® D R( )C M®
RMVM
CS CS

9. Analog Gravity Tech
However the principle of ATA is general and many more applications
of analog transformations can be considered:
Analogue
Gravity
Chemical reactions
Aerodynamics /
hull design
Control of seismic
waves
Graphene
Bose Einstein
Condensates,
Sonography

10. Wrapping up…
• I have shown some interesting ways in which very
theoretical idea can become very real applications
• There are many other ideas under consideration (space-
times network connection, Riemannian Learning
algorithms, etc)
• If you are curious and/or interested, please talk to me, I
am a nice guy after all 😆 (sante.carloni@gmail.com)

11. – ACT wisdom
“Copy to Innovate”