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<div class="book-card">
<div class="book-card"><div class="book-card-title">Index |Ψ'''<math>\rangle</math>'''</div>
<div class="book-card-title">Ψ Index</div>
<hr class="book-card-sep" />


<div class="bi-topic">
<div class="bi-topic">
   <div class="bi-topic-title">[[When Normal Science fails: a clinical anomaly that opens the problem|When Normal Science fails:<span class="bi-subtitle"> ''a clinical anomaly that opens the problem''</span>]]</div>
   <div class="bi-topic-title">
 
Contributors to the |Ψ'''<math>\rangle</math>''' Index Paradigm:
 
[[Autori:Gianni_Frisardi|Gianni Frisardi]] ·
[[Autori:Kemal_Sitki_Türker|Kemal Sitki Türker]] ·
[[Autori:Andrei_Khrennikov|Andrei Khrennikov]] ·
[[Autori:Diego_Centonze|Diego Centonze]] ·
[[Autori:Flavio_Frisardi|Flavio Frisardi]]<br><br>
<span style="font-style: italic; font-weight: 400;">
The '''<math>\mid\Psi\rangle</math>''' Index is a collaborative paradigm under continuous development.
</span>
</div>
</div>
</div>


<div class="bi-topic">
<div class="bi-topic">
   <div class="bi-topic-title">'''PART I – LIMITS OF DESCRIPTION'''
   <div class="bi-topic-title">'''PART I — PREPARATION FOR THE CONCEPT OF INDEX <math>\mid\Psi\rangle</math>'''
[[When Normal Science fails: a clinical anomaly that opens the problem|When Normal Science fails:<span class="bi-subtitle"> ''a clinical anomaly that opens the problem''</span>]]
 
[[Levels of clinical observation: change of informational scale|'''Levels of clinical observation:''' <span class="bi-subtitle">change of informational scale</span>]]
 
[[Crisi del valore assoluto: instabilità del numero clinico|'''Crisis of the absolute value:'''<span class="bi-subtitle"> ''instability of the clinical number''</span>]]


[[Non-commutative variables in clinical practice: the order of information matters|'''Non-commutative variables in clinical practice:'''<span class="bi-subtitle"> ''the order of information matters''</span>]]


'''Diagnosis as classification (RDC):'''<span class="bi-subtitle"> describing is not inferring</span>
'''Magnitude and phase without anchoring: <span class="bi-subtitle">''why any generic index fails''</span>'''


'''Levels of clinical observation:''' <span class="bi-subtitle">a change in the scale of information</span></div>
'''Noise, encrypted signal and clinical phase''':<span class="bi-subtitle"> ''non-evident information''</span></div>
</div>
</div>


<div class="bi-topic">
<div class="bi-topic">
   <div class="bi-topic-title">'''PART II – LIMITS OF CLASSICAL MEASUREMENT'''
   <div class="bi-topic-title">
'''Crisis of the absolute value:'''<span class="bi-subtitle"> ''instability of the clinical number''</span>
'''PART II — THE FOUNDATIONS OF THE 'INDEX <math>\mid\Psi\rangle</math>'''<nowiki/>'


'''Non-commutative variables in clinical practice:'''<span class="bi-subtitle"> ''the order of information matters''</span></div>
Why ∣Ψ⟩:  '''<span class="bi-subtitle">the state as a non-observable description of the clinical system</span>'''
</div>
 
'''Symmetry and system stability: <span class="bi-subtitle">relation as information</span>'''
 
'''Adimensionality: <span class="bi-subtitle"> ''why a clinical state cannot depend on units of measurement''</span>'''
 
'''Normalization: <span class="bi-subtitle">from individual data to system comparability</span>'''
 
'''The Index as a vector: <span class="bi-subtitle">why a number alone does not describe a state</span>'''


<div class="bi-topic">
Clinical phase: '''<span class="bi-subtitle">the non-evident information that distinguishes apparently similar states</span>'''
  <div class="bi-topic-title">'''PART III – BEYOND THE NUMBER'''
'''Noise, Encrypted Signal, and Clinical Phase''':<span class="bi-subtitle"> ''non-evident information''</span>


'''Artificial Intelligence as a Phase Operator: <span class="bi-subtitle"> ''NCN and semantic analysis''</span>'''
The trigeminal biological constant: '''<span class="bi-subtitle">a physiological scale in which only the last decimals move</span>'''
</div>
</div>
</div>
</div>


<div class="bi-topic">
<div class="bi-topic">
   <div class="bi-topic-title">'''PART IV FROM DATA TO STATE'''
   <div class="bi-topic-title">'''PART III TOWARDS EXTRAORDINARY SCIENCE'''
'''System Symmetry and Stability''' :<span class="bi-subtitle"> ''the relation as information''</span>
 
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<span style="font-style: italic; font-weight: 400;">
Note to the reader
</span><br/>


'''System States''' :<span class="bi-subtitle"> ''possible clinical configurations''</span></div>
<span style="font-weight: 400;">
This section does not present a completed model.<br/>
It presents the construction pathway of the Index '''<math>\mid\Psi\rangle</math>'''.<br/>
Each section is open to revision, discussion, and critical contributions.
</span>


</div>
</div>


<div class="bi-topic">
Instrumental framework: '''<span class="bi-subtitle">''from signals to states''</span>'''
  <div class="bi-topic-title">'''PART V – LIMITS OF CLASSICAL PROBABILITY'''
 
'''The limit of classical Bayes''':<span class="bi-subtitle"> ''probability without state''</span>
Foundational decision: '''<span class="bi-subtitle">''why absolute data are not sufficient''</span>'''
 
The trigeminal biological constant:'''<span class="bi-subtitle"> ''a physiological scale in which only the last decimals move''</span>'''
 
Symmetry:'''<span class="bi-subtitle"> ''defined as system error''</span>'''
 
Elementary asymmetries:'''<span class="bi-subtitle"> ''construction and clinical meaning''</span>'''
 
<sub>b</sub>Root-MEPs → <math>\alpha</math>:''' <span class="bi-subtitle"> ''structural normalizer of the system''</span>'''
 
Masticatory reflexes → <math>\beta_i</math>:'''<span class="bi-subtitle"> ''aggregation as clinical observables''</span>'''
 
Error → Order:'''<span class="bi-subtitle"> ''logarithmic transformation (Neperian)''</span>'''


'''Quantum-like statistics''':<span class="bi-subtitle"> ''informational interference''</span></div>
Decimals:'''<span class="bi-subtitle"> ''control of <math>\tau</math> and <math>\kappa</math>''</span>'''
</div>


<div class="bi-topic">
Excitability state→ <math>\chi</math>:'''<span class="bi-subtitle"> ''insertion as a state variable''</span>'''
  <div class="bi-topic-title">'''PART VI – THE NEW CRITERION'''
'''From criterion to state index''' :<span class="bi-subtitle"> ''inferring instead of classifying''</span>  


'''Ψ Index: <span class="bi-subtitle">''magnitude and phase of the clinical state''</span>'''
Index <math>\mid\Psi\rangle</math>:'''<span class="bi-subtitle"> ''interpretation as a clinical state''</span>'''
</div>
</div>


<div class="bi-topic">
Phase:'''<span class="bi-subtitle"> ''state transfer and the role of semantic AI''</span>'''
  <div class="bi-topic-title">'''PART VI – TOWARD EXTRAORDINARY SCIENCE'''
The ⟨Ψ⟩ Index as a diagnostic operator: <span class="bi-subtitle">''the role of the ⟨Ψ⟩ Index in complex systems''</span>


* <span class="bi-subtitle">''General architecture of the model''</span>
Logical closure:'''<span class="bi-subtitle"> ''internal coherence of the model''</span>'''
* <span class="bi-subtitle">''Separation between Structural Connectivity (SC) and Functional Connectivity (FC)''</span>
* <span class="bi-subtitle">''Electrophysiological data as clinical observables''</span>
* <span class="bi-subtitle">''Signal normalization and construction of relative value''</span>
* <span class="bi-subtitle">''Magnitude of the Ψ Index as a measure of system symmetry''</span>
* <span class="bi-subtitle">''Introduction to the concept of phase of the Ψ state''</span>
* <span class="bi-subtitle">''Superposition of clinical states and role of the cosine of Ψ''</span>
* <span class="bi-subtitle">''Emergent behavior of the system''</span>
* <span class="bi-subtitle">''Quantum-like inference and overcoming descriptive classification''</span></div>
</div>
</div>
</div>
</div>


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Versione attuale delle 16:00, 24 gen 2026

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Masticationpedia’s Book Index is not the table of contents of a finished book nor the final structure of a manual. It is a continuously evolving editorial and scientific working map.

The sections and chapters listed here do not represent a didactic pathway, but the points where clinical practice reveals fractures, anomalies, and paradigm limits that must be addressed without simplification.

“The Ψ Index is a clinical criterion, but it is born within a paradigm crisis: it does not only measure data, it reorganizes their interpretation.”

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       Sections and chapters evolve together with the project’s clinical and methodological work.



Paradigm Crisis

Jaw movements analysis: Pantographic replicator
  • Intercondylar distance
  • Advantages and limits of pantography
Jaw movements analysis: Axiographic replicator
  • Interfacial distance
  • Advantages and limits of axiography
  • EMG interference pattern
  • Resting EMG
  • Quantitative EMG analysis
  • Fourier transform
  • Wavelets
  • Intraocclusal free space
    • The mysterious “muscle tone”
  • TENS closing trajectories
Section closing
  • Conclusions of the paradigm crisis section
Index |Ψ

Contributors to the |Ψ Index Paradigm:

Gianni Frisardi · Kemal Sitki Türker · Andrei Khrennikov · Diego Centonze · Flavio Frisardi

The Ψ Index is a collaborative paradigm under continuous development.

PART I — PREPARATION FOR THE CONCEPT OF INDEX Ψ

When Normal Science fails: a clinical anomaly that opens the problem

Levels of clinical observation: change of informational scale

Crisis of the absolute value: instability of the clinical number

Non-commutative variables in clinical practice: the order of information matters

Magnitude and phase without anchoring: why any generic index fails

Noise, encrypted signal and clinical phase: non-evident information


PART II — THE FOUNDATIONS OF THE 'INDEX Ψ'

Why ∣Ψ⟩: the state as a non-observable description of the clinical system

Symmetry and system stability: relation as information

Adimensionality: why a clinical state cannot depend on units of measurement

Normalization: from individual data to system comparability

The Index as a vector: why a number alone does not describe a state

Clinical phase: the non-evident information that distinguishes apparently similar states

The trigeminal biological constant: a physiological scale in which only the last decimals move


PART III – TOWARDS EXTRAORDINARY SCIENCE

Note to the reader

This section does not present a completed model.
It presents the construction pathway of the Index Ψ.
Each section is open to revision, discussion, and critical contributions.

Instrumental framework: from signals to states

Foundational decision: why absolute data are not sufficient

The trigeminal biological constant: a physiological scale in which only the last decimals move

Symmetry: defined as system error

Elementary asymmetries: construction and clinical meaning

bRoot-MEPs → α: structural normalizer of the system

Masticatory reflexes → βi: aggregation as clinical observables

Error → Order: logarithmic transformation (Neperian)

Decimals: control of τ and κ

Excitability state→ χ: insertion as a state variable

Index Ψ: interpretation as a clinical state

Phase: state transfer and the role of semantic AI

Logical closure: internal coherence of the model