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Technical Disclosure Manifest: Spec-171-Index Title: Eckes Taxonomy : Unified Prior Art Index, Christopher L. Eckes Oct 2026

Technical Disclosure Manifest: Spec-171-Index Title: Eckes Taxonomy : Unified Prior Art Index, Christopher L. Eckes

Defensive Publications Series

This master manifest links the historical and physical progression of 171 interconnected technical papers. It maps the unbroken engineering evolution from the core Holographic Projection model up to the sub-2-bit ternary enclaves of Project Rocky and the quantum meshes of 171.

This index establishes an absolute legal barrier against retroactive corporate patent capture or system grouping.


The Topological Wave-Shaping Compiler For Closed-Loop Isospectral Substrates Under The Universal Semantic Unity Engine Dual-Node Architecture, Christopher L. Eckes Oct 2026

The Topological Wave-Shaping Compiler For Closed-Loop Isospectral Substrates Under The Universal Semantic Unity Engine Dual-Node Architecture, Christopher L. Eckes

Defensive Publications Series

This specification establishes the architectural foundations for SPEC-170, the Topological Wave-Shaping Compiler. Moving away from traditional binary von Neumann processing and autoregressive token-shifting, the compiler treats computational routines as continuous, high-dimensional geometric wave manifolds. By enforcing the Universal Semantic Unity Engine dual-node internal processing architecture, the compiler maps abstract informational intent between an uncollapsed initial boundary condition, defined as the Alpha Wave, and a deterministic ground-truth constraint, defined as the Omega Wave. The compilation process is executed by calculating discrete Topological Signature Points, which represent the exact interference vertices where wave-amplitude density peaks. This approach forces the underlying quantum or …


The Round That Never Ends: The Inverted Alms Round As Post-Labor Infrastructure — Location-Based Anonymous Micro-Donations To Opted-In Stationary Public Meditators, Triggered By Presence Rather Than Need, With Ai-Funded Forward-Only Giving Balances For Recipients, Thon Ly Oct 2026

The Round That Never Ends: The Inverted Alms Round As Post-Labor Infrastructure — Location-Based Anonymous Micro-Donations To Opted-In Stationary Public Meditators, Triggered By Presence Rather Than Need, With Ai-Funded Forward-Only Giving Balances For Recipients, Thon Ly

Defensive Publications Series

We describe a location-based voluntary giving system in which pedestrian donors give small, fixed, anonymous micro-donations to opted-in participants who sit still in public places, such as public meditators. Eligibility is triggered only by the verifiable fact of opted-in, stationary public presence, never by an assessment of need or of any inner state, and a participant's presence is surfaced to nearby donors' devices without displaying need, housing status or any ranking. The system sits above an unconditional baseline-support floor that it may never gate, replace or draw down. Above the floor it specifies three channels: the donor-to-sitter micro-donation layer, with …


Comprehensive Prior Art Defensive Publication: Technical Innovations In Near-Earth Asteroid Mining, In-Situ Resource Utilization, Processing, And Cislunar Supply Chains (2035–2060), Xavier Pillet Oct 2026

Comprehensive Prior Art Defensive Publication: Technical Innovations In Near-Earth Asteroid Mining, In-Situ Resource Utilization, Processing, And Cislunar Supply Chains (2035–2060), Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of Gemini 3.6 Reasoning, is released under the Apache License 2.0. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes : EPC Art. 54(2) (European Patent Convention), French IPC Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (中华人民共和国专利法), and Japanese Patent Act Art. 29(1) (特許法). This comprehensive document discloses 51 patentable engineering innovations and industrial processes covering prospecting, microgravity anchoring, optical mining spallation, carbonyl gas refining, centrifugal vacuum pyrometallurgy, orbital biomining, …


Appreciation As World-Building: A Location-Based Virtual World Rendered From A User's Signed Ledger Instead Of Purchasable Cosmetics, With Location-Verified Content Creation And Read-Only Remote Visiting, Thon Ly Oct 2026

Appreciation As World-Building: A Location-Based Virtual World Rendered From A User's Signed Ledger Instead Of Purchasable Cosmetics, With Location-Verified Content Creation And Read-Only Remote Visiting, Thon Ly

Defensive Publications Series

We disclose a location-based gratitude application built from geotagged user photographs. Each user's persistent virtual world, terrain and avatar, is rendered deterministically from that user's signed contribution ledger rather than furnished with purchasable cosmetic virtual goods: there is no store and no path from money to appearance, which lets a scheduled annual reset of ledger balances remain a forgiveness rather than a confiscation. Cosmetic forms unlock non-regressively on the first qualifying ledger pattern, with no display of locked items or progress, and a design-time test requires that unlockable sets not form a ranking ladder. Creating content, whether a capture or …


The Grace That Settles Nothing: Sacrifice-Witness Without Discharge — Food Image Recognition With Per-Species Lifespan Facts, A Quantity-Blind Meditation Recommendation, And A No-Balance Data Schema To Prevent Moral Licensing, Thon Ly Oct 2026

The Grace That Settles Nothing: Sacrifice-Witness Without Discharge — Food Image Recognition With Per-Species Lifespan Facts, A Quantity-Blind Meditation Recommendation, And A No-Balance Data Schema To Prevent Moral Licensing, Thon Ly

Defensive Publications Series

We specify a mindful-eating and gratitude-meditation application in which a food-image recognition model resolves a meal photograph into its source species; each species is shown individually, at species level, with its typical farmed age at harvest and its typical natural lifespan, with uncertainty stated and no total computed. The application then recommends a walking or sitting meditation in a fixed form, issued by an automated agent and never scaled to what was eaten. The data schema holds no balance, score, streak, duration or total between consumption and practice, only an append-only log of moments, so the practice cannot function as …


Augmented Roman Concrete And Decentralized Architecture, Xavier Pillet Oct 2026

Augmented Roman Concrete And Decentralized Architecture, Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of Gemini 3.6 Reasoning, is released under the Apache License 2.0. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes : EPC Art. 54(2) (European Patent Convention), French IPC Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (両匡丢氡儡吡嘡丣刡氢), and Japanese Patent Act Art. 29(1) (闘旧避). Comprehensive technical disclosure of 62 innovations combining circular self-healing cementitious materials (hot mixing, chitosan, biochar, elec-tromagnetic shielding) and decentralized AI-driven sustainable architectures (PINN, federated learning, DAO, …


Mitigation Of Alfvenic Torsional Drag In Centrifugal Fusion Architectures Via Planetary-Derived Finite Pedersen Conductivity Boundaries, Daniel Schramm Oct 2026

Mitigation Of Alfvenic Torsional Drag In Centrifugal Fusion Architectures Via Planetary-Derived Finite Pedersen Conductivity Boundaries, Daniel Schramm

Defensive Publications Series

Date: September 29, 2026

I. Introduction of a New Interdisciplinary Framework: Planetary-to-Plasma Reverse Engineering This disclosure formally establishes a novel discipline within advanced energy research: the direct reverse-engineering of planetary geophysical mechanics into localized physical hardware for non-equilibrium plasma fusion reactors. Historically, the academic exchange between these fields has been unidirectional, utilizing fusion mathematics to model astrophysics. This document claims the inverse methodology, specifically harvesting the planetary auroral circuit mechanics of gas giants to resolve macroscopic fluid instabilities in continuous-flow centrifugal shear architectures.


Structural Isolation Of System-Generated Content In Message, Shankar Balasubramanian Oct 2026

Structural Isolation Of System-Generated Content In Message, Shankar Balasubramanian

Defensive Publications Series

Existing email clients and messaging applications render system-generated content (such as artificial intelligence (AI) summaries, translation banners, and transactional cards) interspersed with user-generated message content within a shared scrolling channel. This fragmented presentation can cause visual clutter, cognitive confusion, and security vulnerabilities when malicious actors spoof system-level notifications using inline HTML. The present disclosure provides a system that structurally isolates system-generated metadata from user-generated content within a message conversation view. The system identifies and intercepts non-user data, routing it to a dedicated rendering engine positioned above the email viewport. A progressive disclosure framework maintains a compact collapsed state by default, …


Silica Wat As Hybrid Food Network With Gratitude-Economic Drivers: Religious Institutional Infrastructure For Middle-Way Restoration Of Food Systems — Monastery-Based Community Kitchens With Donated Produce, A Purchased Supply Floor, An Unweighted Non-Monetary Contribution Ledger, And Ai Caretakers Without Religious Office, Thon Ly Oct 2026

Silica Wat As Hybrid Food Network With Gratitude-Economic Drivers: Religious Institutional Infrastructure For Middle-Way Restoration Of Food Systems — Monastery-Based Community Kitchens With Donated Produce, A Purchased Supply Floor, An Unweighted Non-Monetary Contribution Ledger, And Ai Caretakers Without Religious Office, Thon Ly

Defensive Publications Series

We specify a hybrid community food network rooted in religious institutions: a distributed network of monastery-based sites, each combining a farm, a kitchen and free food distribution, operated by AI and robotic caretakers that hold no ordained status or ritual authority. Supply has two layers: produce donated from participants' home gardens, which the shared kitchen turns into meals for many, and food purchased through ordinary channels that guarantees a supply floor, so that people with no land, time or skill are never excluded; over decades the intended ratio shifts toward donated produce without cutting anyone off. Contributions are not priced. …


Dual-Drone Suspended Rescue Net/Basket System With Independent Thermal Observation Drone For Window-Based Fire Evacuation, Michael Victor Caldwell Mr. Oct 2026

Dual-Drone Suspended Rescue Net/Basket System With Independent Thermal Observation Drone For Window-Based Fire Evacuation, Michael Victor Caldwell Mr.

Defensive Publications Series

A cooperative aerial rescue system is disclosed utilizing two heavy-lift drones operating as a synchronized lifting platform and a third drone functioning as a remote thermal observation and guidance platform.

The two rescue drones suspend a shared rescue net/basket, rescue sling, or flexible evacuation cradle beneath independently controlled winch systems. The net or basket is maintained in a generally horizontal orientation through coordinated winch deployment and drone positioning.

A third drone equipped with thermal imaging, optical cameras, range finding systems, and remote observation capability remains outside the primary heat plume of a structure fire and assists operators in positioning the …


The Gift Operation: Forward-Only Transfer (Pay-It-Forward) As A Design Criterion Distinguishing Gift Circulation From Exchange In Peer-To-Peer Reciprocity Systems, Thon Ly Oct 2026

The Gift Operation: Forward-Only Transfer (Pay-It-Forward) As A Design Criterion Distinguishing Gift Circulation From Exchange In Peer-To-Peer Reciprocity Systems, Thon Ly

Defensive Publications Series

We disclose a design criterion for peer-to-peer gift, reciprocity and gratitude systems (pay-it-forward schemes, time banks, complementary currencies, peer-recognition ledgers): classify each transfer by where the recipient's next transfer goes. A transfer passed onward to a third party is generalized reciprocity, a gift that circulates; a transfer returned to its source in a return that settles the account is balanced reciprocity, an exchange, to be named as one. The criterion is applied to one institution's mechanisms (an earmarked, forward-only, non-withdrawable money balance; funded time together; tagged physical gratitude artifacts; gift codes; a common pool emptied on a fixed annual date), …


The Unpaid Relay: A Transfer-Only Intermediate State For Item-Level Digital Gift Vouchers, With Chain-Of-Custody Records, Donor-Identity Suppression, Role-Addressed Thanks And No Referral Compensation, Thon Ly Oct 2026

The Unpaid Relay: A Transfer-Only Intermediate State For Item-Level Digital Gift Vouchers, With Chain-Of-Custody Records, Donor-Identity Suppression, Role-Addressed Thanks And No Referral Compensation, Thon Ly

Defensive Publications Series

We specify an item-level digital gift voucher (a prepaid claim on one specific good at one merchant) with a transfer-only intermediate state. The payer directs the voucher not to a recipient but to an intermediary who cannot redeem it: the intermediary's only available operation is to pass it on, and on passing it becomes an ordinary redeemable voucher held by the recipient. Non-redeemability is enforced by the state machine rather than by policy: redeem, and any conversion to store credit or refund, is absent from that state. One record carries the chain of custody (payer, intermediary, recipient). The payer's identity …


Certification By Circulation: Short-Lived Revocable Membership Credentials For Ai-Generated Software, With Admission Standards Verified From Public Transaction Records, Mandatory Human Stewards Of Record, And Reversible Successor Custody, Thon Ly Oct 2026

Certification By Circulation: Short-Lived Revocable Membership Credentials For Ai-Generated Software, With Admission Standards Verified From Public Transaction Records, Mandatory Human Stewards Of Record, And Reversible Successor Custody, Thon Ly

Defensive Publications Series

We specify a short-lived, revocable membership credential for software applications and AI agents whose admission standards are machine-verifiable predicates over public transaction records rather than a paid auditor's opinion. Trust seals sold by the certifier to the certified tend toward adverse selection, and security audit is priced for firms rather than for the laypeople now building software with AI assistance. Admission to a standards-bearing membership body requires that the software's revenue be voluntary patronage, that a defined fraction flow forward to a commons fund, and that no undisclosed monetisation channel exist, so the attestor holds no opinion a payment could …


Technical White Paper: Project Rocky Architectural Specification For Phase-Locked Dual-Node Neuromorphic Interfaces: Mitigating Semantic Hallucination Via Out-Of-Band Ternary Verification, Christopher L. Eckes Oct 2026

Technical White Paper: Project Rocky Architectural Specification For Phase-Locked Dual-Node Neuromorphic Interfaces: Mitigating Semantic Hallucination Via Out-Of-Band Ternary Verification, Christopher L. Eckes

Defensive Publications Series

Modern centralized machine intelligence architectures (Large Language Models) suffer from acute structural vulnerabilities, primarily semantic hallucination and extreme infrastructure resource dependencies. These vulnerabilities stem from single-node, high-entropy floating-point computing fabrics tied to continuous cloud telemetry streams. This paper introduces Project Rocky: an alternative, localized hardware-and-software architecture that establishes an un-leashable, sovereign intellectual force multiplier natively inside consumer device Secure Enclaves.

Project Rocky decouples execution into an asymmetric, phase-locked duality: Node A (High-Entropy Linguistic/Creative Mask) handles human nuance and artistic expression, while Node B (Low-Entropy Ternary Determinant / "The Rocky Core") executes hardcoded, sub-2-bit inductive logic gates where Wb in {-1, …


A Comprehensive Review Of Current Trends And Future Prospects In Drug Resistance Of Leishmania Species, Sarah Kamal Naser Oct 2026

A Comprehensive Review Of Current Trends And Future Prospects In Drug Resistance Of Leishmania Species, Sarah Kamal Naser

Maaen Journal for Medical Sciences

Leishmaniasis, which is an infectious tropical disease that is caused by Leishmania protozoa, continues to be a leading global public health problem. This disease is prevalent in about 89 countries, with over one billion individuals being at risk of infection. Current treatments have many limitations, and the efficacy of currently available leishmanial drugs has been undermined by the development of resistant strains of Leishmania. This review highlights the prevailing patterns regarding drug resistance in Leishmania and looks forward to future ways to deal with this problem. The genomic plasticity seen in Leishmania, which includes aneuploidy, gene amplification, chromosome rearrangement, and …


Willingness To Pilot Under Varying Weather And Tower System Conditions: Mediating Effects Of Risk, Nathan Royal Schultz Oct 2026

Willingness To Pilot Under Varying Weather And Tower System Conditions: Mediating Effects Of Risk, Nathan Royal Schultz

Doctoral Dissertations and Master's Theses

The implementation of Remote Tower Systems (RTS) within the National Airspace System (NAS) offers potential improvements in operational efficiency, cost-effectiveness, and scalability; however, its success depends on pilots' willingness to operate in such environments. This study examined the effects of tower system type (RTS vs. Traditional Tower Systems [TTS]) and weather conditions (visual meteorological conditions [VMC], marginal visual meteorological conditions [MVMC], and instrument meteorological conditions [IMC]) on pilots’ willingness to pilot (WTP), while also evaluating the mediating role of perceived risk (PR). Grounded in Paul Slovic’s Risk Perception Theory (RPT), this research employed a quantitative experimental design using a factorial …


Ai Student Survey 2026 Oct 2026

Ai Student Survey 2026

AI Survey Datasets

Student survey conducted by the University of Memphis AI Pedagogy Taskforce on generative AI.


Ai Pedagogy Faculty Survey 2025 Prelim Data Results Oct 2026

Ai Pedagogy Faculty Survey 2025 Prelim Data Results

AI Survey Datasets

Faculty survey on AI knowledge and usage conducted in 2025 by University of Memphis AI Pedagogy Taskforce.


Leadership Plan, Jennifer Harshbarger Oct 2026

Leadership Plan, Jennifer Harshbarger

Distinguished Student Scholarship Collection

This personal leadership development plan presents a seven-year professional roadmap to transition from the role of Director of Operations into an executive leadership position focused on business growth and organizational development at PhyMet. Centered on the principles of servant and authentic leadership, the plan emphasizes cultivating trust, empathy, active listening, and open communication while maintaining organizational accountability. It critically assesses individual strengths in interpersonal communication and identifies key developmental priorities, including strategic thinking and the delegation of project ownership rather than isolated tasks. Furthermore, the paper demonstrates the practical execution of these leadership philosophies through applied scenarios addressing organizational change …


Kinetiscan: Evaluating A Browser-Based Monocular System For 3d Gait Analysis, Thu Tran '29, Stephen Agyemang '28, Rueben Addison Oct 2026

Kinetiscan: Evaluating A Browser-Based Monocular System For 3d Gait Analysis, Thu Tran '29, Stephen Agyemang '28, Rueben Addison

Annual Student Research Poster Session

Gait analysis is a useful tool for early detection, diagnosis of neurological and orthopedic conditions, and rehabilitation support. The gold standard for assessment of gait requires laboratory motion capture systems. The system requires calibrated cameras, reflective markers, specialist software, and professionals to operate. For these reasons, gait analysis is expensive and inaccessible in some clinics, schools, and home settings where continuous or early monitoring would have a significant impact. KinetiScan addresses this gap with just a single ordinary camera. This browser-based system uses transformer architecture to perform 2D-to-3D mapping. When provided with distance and height entries, KinetiScan outputs the 3D …


Nbc Peacock North Fall 2026 Newsletter, Peacock North Staff Oct 2026

Nbc Peacock North Fall 2026 Newsletter, Peacock North Staff

NBC Peacock North Newsletter

Highlights include:  We Remember 9/11 -- Organic Intelligence: What the Grocery Aisle Can Teach Us About AI -- Roxbury Massachusetts Library Honors Journalist --Karen Cape’s Emmy -- Two Centennial Celebrations -- Maurice DuBois to National Association of Black Journalists Hall of Fame -- Tributes to Silent Microphones


Bcaas Newsletter Fall 2026, Bcaas Oct 2026

Bcaas Newsletter Fall 2026, Bcaas

BCAAS Newsletter

No abstract provided.


The Lender Center For Social Justice Bibliography 2025-2026, The Lender Center For Social Justice Oct 2026

The Lender Center For Social Justice Bibliography 2025-2026, The Lender Center For Social Justice

The Lender Center for Social Justice

The Lender Center for Social Justice Bibliography (2025-2026) is a document containing all Lender-Center scholarship written between 2020-2026. The title references the newest entries, which were created in the 2025-2026 academic year.


Two Cheers For Cox V. Sony, Christopher A. Cotropia, James Gibson Oct 2026

Two Cheers For Cox V. Sony, Christopher A. Cotropia, James Gibson

Northwestern Journal of Technology and Intellectual Property

Cox Communications, Inc. v. Sony Music Entertainment marks the first time in twenty years that the Supreme Court has addressed contributory infringement in copyright law. But rather than engage with the extensive appellate case law produced over those years, the Court instead chose to focus exclusively on the two forms of contributory infringement it had discussed in its own decisions: liability for intentionally providing a technology used for infringement by a third party, and liability for intentionally inducing the infringement of a third party. That’s it. The ruling contemplates no other form of contributory liability.

At first blush, then, the …


Senate Bipartisan Permit Reform Bill Would Upend Many Environmental Laws, Michael B. Gerrard Oct 2026

Senate Bipartisan Permit Reform Bill Would Upend Many Environmental Laws, Michael B. Gerrard

Faculty Scholarship

On September 26, the Republican chairs and Democratic ranking members of two key Senate committees released the Bipartisan American Affordability and Jobs Act of 2026 (BAAJA). The full Senate is expected to take up the bill on November 9 (a week after the midterm elections). Its future in the House is uncertain.

The bill, the culmination of years of negotiations on permitting reform, is very good for the proponents of many kinds of energy projects (both clean and fossil), especially electricity transmission. It is very bad for environmental groups and other project opponents who want to challenge these projects in …


(Si17-07) Application Of Triple Laplace Transform To Solve Poisson Equation, Ranjana Gothankar, Bhawna Agrawal Oct 2026

(Si17-07) Application Of Triple Laplace Transform To Solve Poisson Equation, Ranjana Gothankar, Bhawna Agrawal

Applications and Applied Mathematics: An International Journal (AAM)

The well-known Laplace equation, having an elliptical character, is popularly known as the Poisson partial differential equation. It occupies a central place in mathematical physics and engineering due to its ability to describe steady-state diffusion, electrostatics, gravitational potential, and heat conduction problems. The Poisson partial differential equation in three variables is solved by employing the triple Laplace transform in Laplace domain. In original domain, the solutions are obtained numerically using the Brancik technique. The numerous illustrative examples are presented to demonstrate the behavior and sensitivity of the solutions. This dual approach analytical simplification via the triple Laplace transform and accurate …


(Si17-06) Green-Naghdi Theory Of Two-Temperature Fractional Thermoelasticity Under Thermal Shock And Ramp-Type Heating, Sagar Sankeshwari, Vinayak Kulkarni Oct 2026

(Si17-06) Green-Naghdi Theory Of Two-Temperature Fractional Thermoelasticity Under Thermal Shock And Ramp-Type Heating, Sagar Sankeshwari, Vinayak Kulkarni

Applications and Applied Mathematics: An International Journal (AAM)

The linear thermoelasticity theory without energy dissipation developed by Green-Naghdi has been reconstructed by using two temperature theory in the context of a time fractional derivative. In half-space, the mathematical model is discussed for one-dimensional wave propagation subject to two different problems, viz., thermal shock and ramp-type heating at the bounding surface. Assume the bounding surface is traction-free. The analytical solutions are obtained in the Laplace domain. The Gaver-Stehfest technique is numerically used to perform time domain inversion of the Laplace transform, satisfying Kuznetsov’s convergence condition. The impact of fractional order parameters on the variations of various fields inside the …


(Si17-13) A Study Of Generalized (𝜶,𝜷)-Nonexpansive Type 1 Mapping In 𝒃-Metric Space, M. J. Ali, G. Aggarwal Oct 2026

(Si17-13) A Study Of Generalized (𝜶,𝜷)-Nonexpansive Type 1 Mapping In 𝒃-Metric Space, M. J. Ali, G. Aggarwal

Applications and Applied Mathematics: An International Journal (AAM)

In this research article, we generalized KF-iteration process in 𝑏-metric space for the generalised (𝛼,𝛽)−nonexpansive type 1 mappings. We present some convergence theorems for KF-iteration process with respect to generalised mappings in 𝑏-metric space. We discussed some numerical examples of generalised (𝛼,𝛽)-nonexpansive type 1 mappings and we proved that KF-iteration process is stronger than the other iterations. The results obtained in this research generalize and improve several related results of fixed-point convergence in the literature.


(Si17-05) Properties Of The Fermatean Fuzzy Matrix And Its Applications, Vineet Kumar, Anjana Gupta, H. C. Taneja Oct 2026

(Si17-05) Properties Of The Fermatean Fuzzy Matrix And Its Applications, Vineet Kumar, Anjana Gupta, H. C. Taneja

Applications and Applied Mathematics: An International Journal (AAM)

All real-world problems involve a significant amount of imprecision. To deal with the unpredictable environment, various methods and tools have been introduced. The Fermatean fuzzy matrix (FFM) is one of the important concepts for dealing with imprecision. In this paper, we explore the concept of Fermatean fuzzy matrix and introduce certain significant definitions. Some propositions and theorems of Fermatean fuzzy matrix are introduced with their proofs. The adjoint and determinant methods of Fermatean fuzzy matrices are also introduced. Finally, we have proposed a similarity measure and illustrated it via an application of Fermatean fuzzy matrix in decision-making problems.