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<!-- COLUMN 3              -->
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<!-- ===================== -->
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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">Index |Ψ'''<math>\rangle</math>'''</div>
<hr class="book-card-sep" />
<hr class="book-card-sep" />


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   <div class="bi-topic-title">
   <div class="bi-topic-title">


Contributors to the |Ψ'''<math>\rangle</math>''' Index:  
Contributors to the |Ψ'''<math>\rangle</math>''' Index Paradigm:  


[[Autori:Gianni_Frisardi|Gianni Frisardi]] ·
[[Autori:Gianni_Frisardi|Gianni Frisardi]] ·
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[[Autori:Diego_Centonze|Diego Centonze]] ·
[[Autori:Diego_Centonze|Diego Centonze]] ·
[[Autori:Flavio_Frisardi|Flavio Frisardi]]<br><br>
[[Autori:Flavio_Frisardi|Flavio Frisardi]]<br><br>
<span style="font-style: italic; font-weight: 400;">
<span style="font-style: italic; font-weight: 400;">
The '''<math>\mid\Psi\rangle</math>''' Index is a collaborative paradigm under continuous development.
The '''<math>\mid\Psi\rangle</math>''' Index is a collaborative paradigm under continuous development.
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</div>
</div>


<!-- ===================== -->
<!-- PART I                -->
<!-- ===================== -->
<div class="bi-topic">
<div class="bi-topic">
   <div class="bi-topic-title">
   <div class="bi-topic-title">'''PART I — PREPARATION FOR THE CONCEPT OF INDEX <math>\mid\Psi\rangle</math>'''
'''PART I — PREPARATION FOR THE CONCEPT OF INDEX <math>\mid\Psi\rangle</math>'''
</div>
 
<details>
<summary><span class="bi-subtitle">Show / hide chapters</span></summary>
 
[[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>]]
[[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>]]


[[Livelli di osservazione clinica: cambio di scala dell'informazione|'''Levels of clinical observation:''' <span class="bi-subtitle">change of informational scale</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>]]
[[Crisi del valore assoluto: instabilità del numero clinico|'''Crisis of the absolute value:'''<span class="bi-subtitle"> ''instability of the clinical number''</span>]]


[[Variabili non commutative in clinica: l'ordine dell’informazione conta|'''Non-commutative variables in clinical practice:'''<span class="bi-subtitle"> ''the order of information matters''</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>]]


'''Magnitude and phase without anchoring: <span class="bi-subtitle">''why any generic index fails''</span>'''
'''Magnitude and phase without anchoring: <span class="bi-subtitle">''why any generic index fails''</span>'''


'''Noise, encrypted signal and clinical phase''':<span class="bi-subtitle"> ''non-evident information''</span>
'''Noise, encrypted signal and clinical phase''':<span class="bi-subtitle"> ''non-evident information''</span></div>
</div>


</details>
</div>


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<div class="bi-topic">
<div class="bi-topic">
   <div class="bi-topic-title">
   <div class="bi-topic-title">
'''PART II — THE FOUNDATIONS OF THE INDEX <math>\mid\Psi\rangle</math>'''
'''PART II — THE FOUNDATIONS OF THE 'INDEX <math>\mid\Psi\rangle</math>'''<nowiki/>'
</div>
 
<details>
<summary><span class="bi-subtitle">Show / hide foundations</span></summary>


Why ∣Ψ⟩:  '''<span class="bi-subtitle">the state as a non-observable description of the clinical system</span>'''
Why ∣Ψ⟩:  '''<span class="bi-subtitle">the state as a non-observable description of the clinical system</span>'''
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The trigeminal biological constant: '''<span class="bi-subtitle">a physiological scale in which only the last decimals move</span>'''
The trigeminal biological constant: '''<span class="bi-subtitle">a physiological scale in which only the last decimals move</span>'''
</div>
</div>


</details>
</div>


<!-- ===================== -->
<!-- PART III              -->
<!-- ===================== -->
<div class="bi-topic">
<div class="bi-topic">
   <div class="bi-topic-title">
   <div class="bi-topic-title">'''PART III – TOWARDS EXTRAORDINARY SCIENCE'''
'''PART III – TOWARDS EXTRAORDINARY SCIENCE'''
</div>


<div style="
<div style="
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">


<span style="font-style: italic;">
<span style="font-style: italic; font-weight: 400;">
Note to the reader
Note to the reader
</span><br/>
</span><br/>


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


</div>
</div>


<details>
Instrumental framework: '''<span class="bi-subtitle">''from signals to states''</span>'''
<summary><span class="bi-subtitle">Show / hide construction steps</span></summary>


Foundational decision: '''<span class="bi-subtitle">''why absolute data are not sufficient''</span>'''
Foundational decision: '''<span class="bi-subtitle">''why absolute data are not sufficient''</span>'''
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Decimals:'''<span class="bi-subtitle"> ''control of <math>\tau</math> and <math>\kappa</math>''</span>'''
Decimals:'''<span class="bi-subtitle"> ''control of <math>\tau</math> and <math>\kappa</math>''</span>'''


Excitability state → <math>\chi</math>:'''<span class="bi-subtitle"> ''insertion as a state variable''</span>'''
Excitability state→ <math>\chi</math>:'''<span class="bi-subtitle"> ''insertion as a state variable''</span>'''


Index <math>\mid\Psi\rangle</math>:'''<span class="bi-subtitle"> ''interpretation as a clinical state''</span>'''
Index <math>\mid\Psi\rangle</math>:'''<span class="bi-subtitle"> ''interpretation as a clinical state''</span>'''
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Logical closure:'''<span class="bi-subtitle"> ''internal coherence of the model''</span>'''
Logical closure:'''<span class="bi-subtitle"> ''internal coherence of the model''</span>'''
 
</div>
</details>
</div>
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</div>
</div>

Versione attuale delle 16:00, 24 gen 2026

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       The Book Index as a working map

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.”

  • Some chapters are complete, others partial; others are present as conceptual nodes.
  • The order of the index is not final: it may change, be reorganized, or expanded.
  • The Book Index does not contain final answers: it contains the conditions of their necessity.
       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