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      Hover over the labels above to understand <b>Open Access</b>, <b>Member</b>, and <b>Affiliate</b>.
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  <!-- OPEN ACCESS -->
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<div class="book-index-columns">
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<div>
    </span>
<p style="font-size: 150%; color: black;">'''Normal Science'''</p>
  </div>
<p style="font-size:  100%; color: black;">(''Public Open Access''{{Tooltip|2=This section is open to all users and represents the most inclusive part of the project, offering information and resources accessible to everyone.}})</p>
----
'''[[Introduction]]'''


*[[Logic of medical language]]
  <!-- MEMBER -->
**[[The logic of the classical language|The logic of classical language]]
  <div class="pyr-label" style="top:24%; left:33%;">
**[[The logic of the probabilistic language]]
    <span class="pyr-link" style="cursor:default;">
**[[Fuzzy language logic]]
      Member
**[[System logic]]
      <span class="pyr-tip pyr-tip-bottom">
*[[Complex Systems|The Complex Systems]]
        <b>Member</b><br><br>
*[[Logic of medical language: Introduction to quantum-like probability in the masticatory system]]
*[[Conclusions on the status quo in the logic of medical language regarding the masticatory system]]


'''[[Hemimasticatory spasm]]'''
        <b>Read-only</b> access to the reserved Book Index chapters,
        available to readers who identify themselves through an active LinkedIn profile.<br><br>


*[[1° Clinical case: Hemimasticatory spasm|1° Clinical case: Emimasticatory spasm]]
        <b>There is no cost.</b><br>
**[[Encrypted code: Ephaptic transmission]]
        Registration helps keep Masticationpedia focused
        on an identified and accountable scientific community.<br><br>


'''[[Bruxism]]'''
        <b>Permissions:</b>
        <ul style="margin:6px 0 6px 18px; padding:0;">
          <li>full reading access to reserved chapters</li>
          <li>no editing</li>
          <li>no editorial discussion</li>
          <li>no authorship or attribution</li>
        </ul>


*[[2° Clinical case: Pineal Cavernoma]]
        <div style="text-align:center; margin-top:12px;">
**[[Encrypted code: Hyperexcitability of the trigeminal system]]
          <a
            href="https://staging.masticationpedia.org/oauth/linkedin-login.php"
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            "
          >
            🔐 Apply with LinkedIn
          </a>
        </div>


'''[[Occlusion and Posture]]'''
        <div style="margin-top:10px; opacity:0.9; font-size:12px; line-height:1.35;">
          After approval, reading permissions are enabled on your account.
        </div>
      </span>
    </span>
  </div>


*[[3° Clinical case: Meningioma]]
</div>
**[[Encrypted code: Bilateral Motor Evoked Potentials of trigeminal root]]
</html>


'''[[Orofacial Pain]]'''


*[[4° Clinical case: Temporomandibular disorders]]
<!-- ===================================================== -->
*[[5° Clinical case: Spontaneous Electromyographic Activity]]
<!-- CLARIFICATION BLOCK (below hero)                      -->
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'''[[Are we sure to know everything?]]'''
    <div style="font-size: 15px; line-height: 1.65;">
      <p style="margin:0 0 10px;">
        Masticationpedia’s Book Index <b>is not the table of contents of a finished book</b>
        nor the final structure of a manual.
        It is a <b>continuously evolving editorial and scientific working map</b>.
      </p>
     
The sections and chapters listed here do not represent a didactic pathway,
but the points where clinical practice reveals <b>fractures, anomalies, and paradigm limits</b>
that must be addressed without simplification.
      <blockquote>
        “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.”
      </blockquote>


*[[6° Clinical case: Facial onset sensory and motor neuronopathy]]
      <ul style="margin: 10px 0 10px 18px; padding: 0;">
*[[7° Clinical case: Brainstem neoplasm in Orofacial pain]]
        <li style="margin: 6px 0;">Some chapters are complete, others partial; others are present as <b>conceptual nodes</b>.</li>
'''[[Conclusion of the ‘Normal Science’ section]]'''
        <li style="margin: 6px 0;">The order of the index <b>is not final</b>: it may change, be reorganized, or expanded.</li>
        <li style="margin: 6px 0;">The Book Index does not contain final answers: it contains the <b>conditions of their necessity</b>.</li>
      </ul>
 
      <div style="margin-top: 12px; padding-top: 10px; border-top: 1px solid rgba(0,0,0,0.08); font-size: 12.5px; opacity: 0.82;">
        Sections and chapters evolve together with the project’s clinical and methodological work.
      </div>
    </div>
  </div>
</div>
</div>
<div>
<p style="font-size: 150%; color: black;">'''Crisis of Paradigm'''</p>
<p style="font-size:  100%; color: black;">(''Members only access''{{Tooltip|2=This section is reserved exclusively for users who have received a personal invitation to register on Masticationpedia. This invitation is sent only to carefully selected colleagues, chosen for their professional value, scientific interest, and distinctive qualities. If you find the topics interesting and have not received an invitation, you can request one by submitting a request through the 'Member Account request form'. (a Google Account is needed to request the Member Account).''


<span class="colour-button-small" style="float: right; margin-top: 1rem;">[https://docs.google.com/forms/d/e/1FAIpQLSfNPOFCBl8twuPIzhil1frbeBrgmcTzcxkXUu_f5OktuEX4Yw/viewform?vc=0&c=0&w=1&flr=0 Member Account request]</span>}})</p>
----


<div class="crisis-of-paradigm-for-all">
<!-- ===================================================== -->
'''[[Research Diagnostic Criteria (RDC)]]'''
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* [[Jaw movements analysis. Part 1: Electrognathographic Replicator|Jaw movements analysis: Electrognathographic Replicator]]
</style>
** [[Transverse Hinge Axis]]
</html>
** [[Vertical Hinge Axis]]
**The Magic of the Condylar Sphere


*'''Jaw movements analysis:Pantographic Replicator'''
**Intercondylar Distance
**Advantage and Limit of Pantography


* '''Jaw movements analysis:Axiographic Replicator'''
<div class="book-index-columns">
**Interfacial Distance
**Advantage and Limit of Axiography


*'''[[Electromyography|Electromyography (EMG)]]'''
<!-- ===================== -->
**EMG  Interferential pattern
<!-- COLUMN 1              -->
**EMG at rest position
<!-- ===================== -->
**Quantitative Analysis of EMG
<div class="book-card">
**Fourier transform
<div class="book-card-title">Normal Science</div>
**Wavelett
<hr class="book-card-sep" />


* '''[[Transcutaneous Electric Nerve Stimulation]]'''
<div class="bi-topic">
**Intraocclusal free way space
<div class="bi-topic-title">'''[[Introduction]]'''</div>
***The mysterious "Muscle tone"
** Closing trajectory from TENS


'''Beyond the RDC'''
* [[Logic of medical language]]
** [[The logic of the classical language|The logic of classical language]]
** [[The logic of the probabilistic language|The logic of the probabilistic]]
** [[Fuzzy language logic]]
** [[System logic]]
* [[Complex Systems|The Complex Systems]]
* [[Logic of medical language: Introduction to quantum-like probability in the masticatory system]]
* [[Conclusions on the status quo in the logic of medical language regarding the masticatory system]]</div>


* [[Clinic Electromyography|Clinical Electromyography]]
<div class="bi-topic">
* [[Artificial Neural Networks: Automatic Neuromuscular Diagnostic]]
<div class="bi-topic-title">'''[[Hemimasticatory spasm]]'''</div>
* Trigeminal Neurophysiopathology
* [[Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods]]
* [[Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation]]
* [[Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery]]
* Pain Pathophysiology
* [[Role of Metabotropic Glutamate Receptors in Pain]]
* [[Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs]]
* Use of Functional Magnetic Resonance Imaging (fMRI) in Pain Research
* Neuroradiology in Craniofacial Pain


'''Conclusions to the Paradigm crisis section'''
* [[1° Clinical case: Hemimasticatory spasm|1° Clinical case: Emimasticatory spasm]]
** [[Encrypted code: Ephaptic transmission]]
</div>
</div>
<div class="crisis-of-paradigm-for-members">
'''[[Member:Research Diagnostic Criteria (RDC)|Research Diagnostic Criteria (RDC)]]'''


* [[Member:Jaw movements analysis. Part 1: Electrognathographic Replicator|Jaw movements analysis: Electrognathographic Replicator]]
<div class="bi-topic">
** [[Member:Transverse Hinge Axis|Transverse Hinge Axis]]
<div class="bi-topic-title">'''[[Bruxism]]'''</div>
** Vertical Hinge Axis
**The Magic of the Condylar Sphere


*'''Jaw movements analysis:Pantographic Replicator'''
* [[2° Clinical case: Pineal Cavernoma]]
**Intercondylar Distance
** [[Encrypted code: Hyperexcitability of the trigeminal system]]
**Advantage and Limit of Pantography
</div>


* '''Jaw movements analysis:Axiographic Replicator'''
<div class="bi-topic">
**Interfacial Distance
<div class="bi-topic-title">'''[[Occlusion and Posture]]'''</div>
**Advantage and Limit of Axiography


*'''[[Member:Electromyography|Electromyography (EMG)]]'''
* [[3° Clinical case: Meningioma]]
**EMG  Interferential pattern
** [[Encrypted code: Bilateral Motor Evoked Potentials of trigeminal root]]
**EMG at rest position
</div>
**Quantitative Analysis of EMG
**Fourier transform
**Wavelett


* '''[[Member:Transcutaneous Electric Nerve Stimulation|Transcutaneous Electric Nerve Stimulation]]'''
<div class="bi-topic">
**Intraocclusal free way space
<div class="bi-topic-title">'''[[Orofacial Pain]]'''</div>
***The mysterious "Muscle tone"
** Closing trajectory from TENS


'''Beyond the RDC'''
* [[4° Clinical case: Temporomandibular disorders]]
* [[5° Clinical case: Spontaneous Electromyographic Activity]]
</div>


* [[Member:Clinic Electromyography|Clinic Electromyography]]
<div class="bi-topic">
* [[Member:Artificial Neural Networks: Automatic Neuromuscular Diagnostic|Artificial Neural Networks: Automatic Neuromuscular Diagnostic]]
<div class="bi-topic-title">'''[[Are we sure to know everything?]]'''</div>
* Trigeminal Neurophysiopathology
* [[Member:Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods|Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods]]
* [[Member:Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation|Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation]]
* [[Member:Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery|Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery]]
* Pain Pathophysiology
* [[Member:Role of Metabotropic Glutamate Receptors in Pain|Role of Metabotropic Glutamate Receptors in Pain]]
* [[Member:Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs|Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs]]
* Use of Functional Magnetic Resonance Imaging (fMRI) in Pain Research
* Neuroradiology in Craniofacial Pain


'''Conclusions to the Paradigm crisis section'''
* [[6° Clinical case: Facial onset sensory and motor neuronopathy]]
* [[7° Clinical case: Brainstem neoplasm in Orofacial pain]]
</div>
</div>


<div class="bi-topic">
<div class="bi-topic-title">Section closing</div>
*'''[[Conclusion of the ‘Normal Science’ section]]'''
</div>
</div>
</div>
<div>
<p style="font-size: 150%;">'''Extraordinary science'''</p>
<p style="font-size:  100%; color: black;">(''in Progress'')</p>
----
'''Module 1 – Introduction to the New Paradigm''' 🔴
<span class="mp-modal-open" data-modal="mod1-paradigm" style="cursor:pointer;" title="Open abstract">
  ●
</span>


<div id="mod1-paradigm" class="mp-modal-overlay">
<!-- ===================== -->
  <div class="mp-modal-box">
<!-- COLUMN 2              -->
    <span class="mp-modal-close" title="Close">×</span>
<!-- ===================== -->
<div class="book-card">
<div class="book-card-title">Paradigm Crisis</div>
<hr class="book-card-sep" />


    🔮 '''Foundation of the new diagnostic paradigm'''<br/><br/>
<div class="bi-topic">
<div class="bi-topic-title">[[Research Diagnostic Criteria (RDC)]]</div>
*[[Jaw movements analysis. Part 1: Electrognathographic Replicator|Jaw movements analysis: Electrognathographic Replicator]]
**[[Transverse Hinge Axis|Transverse hinge axis]]
**Vertical Hinge Axis
**The magic of the condylar sphere
</div>


    🔹 Diagnosis in the masticatory system has historically been based on macroscopic observation.<br/>
<div class="bi-topic">
    🧠 However, clinical cases show that macroscopic reality can be completely disconnected from the deep neurophysiological state of the trigeminal system.<br/><br/>
<div class="bi-topic-title">'''Jaw movements a'''nalysis: Pantographic replicator</div>
*Intercondylar distance
*Advantages and limits of pantography
</div>


    🔀 A “malocclusion” may correspond to a neurologically symmetrical system;<br/>
<div class="bi-topic">
    ⚠️ a surgically obtained “normocclusion” may hide severe functional impairment.<br/><br/>
<div class="bi-topic-title">'''Jaw movements a'''nalysis: Axiographic replicator</div>
*Interfacial distance
*Advantages and limits of axiography
</div>


    🐱‍👤 Schrödinger’s paradox becomes a structural analogy: the patient can be simultaneously “healthy” and “sick” until a neurophysiological measurement is performed.<br/><br/>
<div class="bi-topic">
<div class="bi-topic-title">[[Crisis:Electromyography|Electromyography (EMG)]]</div>
*EMG interference pattern
*Resting EMG
*Quantitative EMG analysis
*Fourier transform
*Wavelets
</div>


    🧪 Measurement — dependent on observer, instrument, and context — modifies what is observed.<br/>
<div class="bi-topic">
    📉 The ambiguous logic of medical language and the limits of classical probability (P-value/Bayes) prevent an adequate description of complex phenomena.<br/><br/>
<div class="bi-topic-title">'''[[Transcutaneous Electric Nerve Stimulation]]'''</div>
*Intraocclusal free space
**The mysterious “muscle tone”
*TENS closing trajectories
</div>


    🔥 For this reason, ''normal science'' enters a crisis: classical models no longer explain the observed anomalies.<br/><br/>
<div class="bi-topic">
<div class="bi-topic-title">Beyond the RDC</div>
 
* [[Clinic Electromyography|Clinical Electromyography]]
* [[Crisis:Artificial Neural Networks: Automatic Neuromuscular Diagnostic|Artificial Neural Networks: Automatic Neuromuscular Diagnostic]]


    🔧 The new paradigm requires a non-classical diagnostic model:<br/>
*Trigeminal neurophysiopathology
    • integration of multiple states<br/>
*[[Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods]]
    • epistemic uncertainty<br/>
*[[Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation]]
    • emerging dynamics<br/><br/>
*[[Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery]]
*Pain pathophysiology
*[[Role of Metabotropic Glutamate Receptors in Pain]]
*[[Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs]]
*Use of functional MRI (fMRI) in pain research
*Neuroradiology in craniofacial pain
</div>


    👉 For a deeper discussion see: [[Introduction#Schrödinger's cat|Schrödinger’s paradox in clinical diagnosis]].<br/><br/>
<div class="bi-topic">
<div class="bi-topic-title">Section closing</div>
*Conclusions of the paradigm crisis section
</div>
</div>
<!-- ===================== -->
<!-- COLUMN 3              -->
<!-- ===================== -->
<div class="book-card"><div class="book-card-title">Index |Ψ'''<math>\rangle</math>'''</div>
<hr class="book-card-sep" />


    This prepares the ground for the construction of the '''Index Ψ'''.
<div class="bi-topic">
    <hr/>
  <div class="bi-topic-title">
    🇮🇹 '''Sintesi in italiano'''<br/>
 
    • La diagnosi nel sistema masticatorio è stata storicamente basata sull’osservazione macroscopica.<br/>
Contributors to the |Ψ'''<math>\rangle</math>''' Index Paradigm:
    • I casi clinici mostrano che la realtà macroscopica può essere scollegata dallo stato neurofisiologico profondo del trigeminale.<br/>
 
    • Una “malocclusione” può corrispondere a un sistema neurologicamente simmetrico, mentre una “normocclusione” chirurgica può nascondere un danno funzionale severo.<br/>
[[Autori:Gianni_Frisardi|Gianni Frisardi]] ·
    • Il paradosso di Schrödinger diventa un’analogia strutturale per descrivere il paziente simultaneamente “sano” e “malato” fino alla misura neurofisiologica.<br/>
[[Autori:Kemal_Sitki_Türker|Kemal Sitki Türker]] ·
    • La misurazione, dipendente da osservatore/strumento/contesto, modifica ciò che osserviamo e mette in crisi la ''normal science''.<br/>
[[Autori:Andrei_Khrennikov|Andrei Khrennikov]] ·
    • Serve un modello diagnostico non-classico, capace di integrare stati multipli, incertezza epistemica e dinamiche emergenti: base concettuale dell’Indice Ψ.<br/>
[[Autori:Diego_Centonze|Diego Centonze]] ·
  </div>
[[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-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>]]


<small>Authors: Gianni Frisardi</small>
[[Crisi del valore assoluto: instabilità del numero clinico|'''Crisis of the absolute value:'''<span class="bi-subtitle"> ''instability of the clinical number''</span>]]


* Why a paradigm shift in masticatory science
[[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>]]
* From “occlusion only” to neuro–gnathological systems
* Normal Science – Crisis – Extraordinary Science in the masticatory field
* Positioning of Masticationpedia within this paradigm


'''Module 2 – Quantum-like Framework for Biological and Clinical Systems'''<br/><small>Authors: Andrei Khrennikov</small>
'''Magnitude and phase without anchoring: <span class="bi-subtitle">''why any generic index fails''</span>'''


* Classical vs quantum(-like) probability in medicine
'''Noise, encrypted signal and clinical phase''':<span class="bi-subtitle"> ''non-evident information''</span></div>
* Open quantum systems and biological functions
</div>
* Quantum instruments and self-measurement in biosystems
* From cognitive models to trigeminal diagnostics


'''Module 3 – Trigeminal Electrophysiology and Reflex Circuits'''<br/>
<small>Authors: Kemal S. Türker</small>


* Masseter reflexes and silent periods
<div class="bi-topic">
* Cutaneous and nociceptive stimulation of trigeminal system
  <div class="bi-topic-title">
* Single motor unit vs surface EMG analysis
'''PART II — THE FOUNDATIONS OF THE 'INDEX <math>\mid\Psi\rangle</math>'''<nowiki/>'
* Reliability and clinical meaning of trigeminal reflex measures


'''Module 4 – Structural Connectivity (SC) of the Trigeminal System'''<br/>
Why ∣Ψ⟩:  '''<span class="bi-subtitle">the state as a non-observable description of the clinical system</span>'''
<small>Authors: Gianni Frisardi, Kemal S. Türker</small>


* Definition of Structural Connectivity in the masticatory system
'''Symmetry and system stability: <span class="bi-subtitle">relation as information</span>'''
* Trigeminal Root Motor Evoked Potentials (R-MEPs)
* Protocols, latency, amplitude and symmetry indices
* SC markers for complex rehabilitative planning


'''Module 5 – Functional Connectivity (FC) of the Trigeminal System'''<br/>
'''Adimensionality: <span class="bi-subtitle"> ''why a clinical state cannot depend on units of measurement''</span>'''
<small>Authors: Kemal S. Türker, Gianni Frisardi;</small>


* Definition of Functional Connectivity in the masticatory system
'''Normalization: <span class="bi-subtitle">from individual data to system comparability</span>'''
* Jaw jerk
* Masseter tendon silent period
* Masseter electrical silent period
* Recovery cycle of the masseter inhibitory reflex
* H-wave and related polysynaptic responses
* FC markers in health and pathology


'''Module 6 – From SC/FC to Emergent Behaviour in Mastication'''<br/>
'''The Index as a vector: <span class="bi-subtitle">why a number alone does not describe a state</span>'''
<small>Authors: Gianni Frisardi (lead); Kemal S. Türker; Ali Esquembre</small>


* Separation and interaction between SC and FC
Clinical phase: '''<span class="bi-subtitle">the non-evident information that distinguishes apparently similar states</span>'''
* Emergent patterns in complex masticatory tasks
* Network perspective on neuro-gnathological dysfunctions
* Conceptual bridge toward a synthetic index of system state


'''Module 7 – Index <math>\Psi</math>: Quantum-like Diagnostic Model'''<br/>
The trigeminal biological constant: '''<span class="bi-subtitle">a physiological scale in which only the last decimals move</span>'''
<small>Authors: Gianni Frisardi (lead); Andrei Khrennikov; Kemal S. Türker; Ali Esquembre</small>
</div>
</div>
 
 
<div class="bi-topic">
  <div class="bi-topic-title">'''PART III – TOWARDS EXTRAORDINARY SCIENCE'''
 
<div style="
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  border-left: 4px solid #c9a24d;
  border-radius: 10px;
  font-size: 92%;
  line-height: 1.5;
  color: #555;
  font-weight: 400;
">


* Model description
<span style="font-style: italic; font-weight: 400;">
** Role of trigeminal motor evoked potentials (R-MEPs) in evaluating SC
Note to the reader
** Role of trigeminal reflexes in evaluating FC
</span><br/>
** Integration of SC and FC in a single state variable
 
** Emergent Behaviour encoded in the index <math>\Psi</math>
<span style="font-weight: 400;">
* Quantum modelling of the Index '''<math>\Psi</math>'''
This section does not present a completed model.<br/>
** Quantum Bayes Theorem (QBayes)
It presents the construction pathway of the Index '''<math>\mid\Psi\rangle</math>'''.<br/>
** Interference term and differences from the classical approach
Each section is open to revision, discussion, and critical contributions.
* Expectation value and mathematical formalism
</span>
** Operator form of the diagnostic model
** Cosine of <math>\psi</math> as a measure of overlap between concomitant pathologies


</div>
</div>


<div class="extraordinary-science-for-affiliates">
Instrumental framework: '''<span class="bi-subtitle">''from signals to states''</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>'''


'''Module 1 – Introduction to the New Paradigm'''<br/>
Elementary asymmetries:'''<span class="bi-subtitle"> ''construction and clinical meaning''</span>'''
<small>Authors: Gianni Frisardi (lead); Andrei Khrennikov; Kemal S. Türker; Ali Esquembre</small>


* Why a paradigm shift in masticatory science
<sub>b</sub>Root-MEPs → <math>\alpha</math>:''' <span class="bi-subtitle"> ''structural normalizer of the system''</span>'''
* From “occlusion only” to neuro–gnathological systems
* Normal Science – Crisis – Extraordinary Science in the masticatory field
* [Errore Traduzione]


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