Particle models and Quantum Foundations

Particle Models and Quantum Foundations
Ignazio Licata
ISEM – Palermo
Leonardo Chiatti
ASL Med. Phys. Lab. - Viterbo
DICE – Castello Pasquini, Castiglioncello, 12-16 September 2016
MANY YEARS AGO…
L. de Broglie
1892 - 1987
Double solution
J.P.Vigier
1920 - 2004
WHAT BOHR DID…
Atom quantization
Quantum Mechanics
Field quantization (photon)
Quantum Field Theory
Quantum jump
?
1986 : First experimental DIRECT evidence of Quantum
Jumps. Bohr was right. And then?
TWO MODALITIES OF WAVEFUNCTION TIME
EVOLUTION:
 q, t1   S t0 , t1   q, t0 
“U” Process
“R” Process
=
“collapse”
=
Quantum jumps
 q, t1    q, t1 
SYNCHRONIC ONTOLOGY
• “QUANTUM JUMPS” AND “COLLAPSE” ARE THE SAME.
•JUMPS ARE NON HAMILTONIAN ASPECTS OF INTERACTIONS
• JUMPS RELATED TO RESPECTIVELY PREPARATION AND DETECTION
ARE NOT CONNECTED THROUGH SPACE-TIME; THEIR CONNECTION IS
AT THE LEVEL OF AN EXTRA-SPATIOTEMPORAL CORE
•CONNECTION THROUGH LOOPS [L.Chiatti; Transaction as a quantum
concept; IJRAS 16(4), 28-47 (2013); arXiv:1204.6636]
extra-spatiotemporal core
photon transfer
From a diachronic perspective: Transactions
R|S| Q
“Janus”
 Q | S+ | R 
“Janus”
|QQ|
|RR|
creation
annihilation
Transactional ring
Collapses = elementary interactions with
asymptotically free states (particles) = Quantum
jumps
“Janus”
|QQ|
Past
Future
?
A handshake out of
space-time
Non local EPR causal correlations
From a diachronic perspective: Transactions
| R’   R’ |
 R’ | S | Q 
R|S| Q
 Q | S+ | R’ 
 Q | S+ | R 
|QQ|
Transactional description of EPR correlations
(Cramer, Kastner, Chiatti…)
|RR|
The ends of a transactions consist of collapses
(projectors)
|QQ|
|RR|
Micro-events
induced by
interactions
(Objective
Reduction)
An important particular case: interaction vertex with
ingoing and outgoing elementary (real) particles
|QQ|
Past
Future
What about the
“inner” nature of a
collapse event?
Temporary stop in the
time course ?
E = mc2 = work requested to restart the time course of a particle state =
(minimal) requested energy for the creation of that particle
OR
E = mc2 = work released by the stop in the time course of a particle state =
(minimal) energy released by the annihilation of that particle
In and out a timeless realm
The timeless background “lives” in a complex precursor
of time: τ’ + iτ’’ where:
τ’  [-θ0, + θ0]   and τ’  [0, + θ0]  
θ0 represents a new constant of Nature (chronon)
“Dormant” particle wavefunction:
Ψ(τ’ , τ’’ ) = Φ(τ’ ) Λ(τ’’)
Ψ(τ’ , τ’’ ) = 0 out of the rectangle
(spatial and spin parts of incoming wave
are simply conjugate)
In and out a timeless realm

2
2
[ (2πτ' )]
oscillating
solutions
2 2
2
Φ  (M skc ) Φ
Msk is a sort of bare mass of the particle, named “skeleton mass”
i


 

[ (i ' ' )]
2θ 0

2
 E 
 exp   0 
 kT 
“thermal” solution with T ≈ 1/τ’’
“Skeleton mass” related to time localization
Effective particle mass= skeleton mass renormalized by perturbative effects in
the interaction vertex
How a Quantum Jump occurs?
(a changement in topology)
How a Quantum Jump occurs?
Mapping:
Φ → constant over the circumference of radius θ0;
→
Restart of the de Broglie oscillation (stop if the inverse mapping is applied);
ω is the “external” energent time: the same information is RECODED
How big is a chronon?
cθ0 equates the electron classical radius. Then ħ/θ0 = 70 MeV
The
Caldirola
Chronon
(1953 – 1984 ca)
Developping a theory of classical electron based on
chronon θ0.
No pre-accelerations nor runaway solutions
represents the background as a set of thermostats with
different absolute temperature, which are included in the
range between T = ħ/kθ0 (τ’’ = θ0) and T = ∞ (τ’’ = 0) .
The thermostat at temperature T contributes to the
creation/annihilation of a particle with rest energy Mc2
through the heat exchange:
Now imagine an equivalent thermostat such that: 1) the entropy
variation of the whole set of thermostats is equal in value to the
entropy variation of the equivalent thermostat; 2) the sum of the
thermal contributions of the different thermostats is equal to the
total thermal contribution of the equivalent thermostat
Then:
Density of hadron mass states
ħ/θ0 = 70 MeV then kTH = 160 MeV
Hagedorn
Temperature !!
The Hagedorn thermostat. F = self-similar pattern of virtual
fluctuations; H = hadrons; F  H heat flow = hadronization;
H  F heat flow = deconfinement (QGP)
Regge trajectories with quantized slopes
Spin trasferred to the hadron;
z/θ0 as a Nyquist frequency
Chaotic pattern for slopes…
QCD “universal” slope
uncharmed
charmed
Δn(ħ/c2θ0) = 2 x pion mass !!!
Principal results:
1. The “external”(laboratory) time is an emergent property of
the quantum system
2. The bare (skeleton) mass is finite
3. It is also quantized
4. The quantum of skeleton mass is ħ/θ0
6. Derivation of Hagedorn spectrum with TH= 160 MeV.
7. Regge trajectories with quantized slopes (beyond QCD?)
Thanks to:
Giuseppe Vitiello
Thomas Elze
Ruth Kastner
Erasmo Recami