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Visitors as of Sept. 3rd, 2025
On this page in order of appearance:
- 3 coffins of king tut: [a]
- Aspects of 3 in Ancient Egypt: [1]
- Egyptian (Akh-Ka-Ba) related to Islamic (Allah Akbar): [b]
- Aspects of Thrice Great Hermes: [2]
- Aspects of triple patterns in comparative anatomy: [3]
- Aspects of triple patterns in warfare strategy and tactics: [4]
- Aspects of a trinary language for quantum computing systems: [5]
[a] I begin this page by recalling an old example about King Tut (of ancient Egypt) have three coffins, so I queried for this with the terms "3 coffins of king tut"
AI (overview) response: King Tutankhamun was buried within a sarcophagus containing three nested coffins. The two outer coffins were made of wood, covered in gold and inlaid with precious stones and glass. The innermost coffin, however, was made of 110.4 kg (243 lb) of solid gold and contained the king's mummified body, which was covered with his famous gold death mask.
The Three Coffins:- Outer Gilded Coffin:
- This large, rectangular coffin was made of gilded wood and portrayed the king in the Osirian shape.
- Middle Gilded Coffin:
- Also made of gilded wood, this coffin featured multicolored glass inlay and was hoisted out of the first.
- Innermost Solid Gold Coffin:
- This anthropoid (human-shaped) coffin was made entirely of solid gold. It was found covered in a thick, dark, resinous material from the anointing ritual, which was later cleaned off to reveal the gleaming gold. This is the coffin that held Tutankhamun's mummified body, along with his iconic gold death mask.
I then wanted to use a different query format than the already used "Tripartite Aspects of Various Subjects", but use the same wording posed in a different way:
[1] Internet query: "Aspects of 3 in Ancient Egypt"
AI (overview) response: In ancient Egypt, the number three represented plurality, completeness, and wholeness. This concept was fundamental in religion and permeated many aspects of ancient Egyptian culture, including mythology, mathematics, architecture, and magic.
In religion and mythology- Divine Triads: This is the most well-known representation of the number three. Many deities were organized into triads, symbolizing a
complete system or a divine family unit.
- Osiris, Isis, and Horus: A model triad that represents the divine family of a god, goddess, and their son.
- Amun, Mut, and Khonsu: The Theban triad that symbolized the creator (Amun), the mother (Mut), and the divine son (Khonsu), representing a continuous cycle of death and rebirth.
- Ptah, Sekhmet, and Nefertem: The Memphite triad.
- The creator god Atum: In Heliopolitan creation myths, the god Atum is referenced as being "one and became three" when he gave birth to the first divine pair, Shu and Tefnut, from his own being.
- Tripartite nature of the soul: The soul was considered to be composed of three parts: the akh, the ka, and the ba.
- Akh: The illuminated, transfigured spirit of the deceased, resurrected in the afterlife.
- Ka: The life force or spiritual double, sustained by offerings.
- Ba: The personality or mobile spirit, able to travel between the worlds of the living and the dead.
- Protection of the dead: The Book of the Dead describes guardian demons that appear in triads, protecting the gates of the house of Osiris.Communicating with the dead: The ancient Egyptians believed there were three ways to communicate with the deceased: through offerings to the \(ka\), sending letters to the dead, and through dreams and nightmares.
- Communicating with the dead: The ancient Egyptians believed there were three ways to communicate with the deceased: through offerings to the \(ka\), sending letters to the dead, and through dreams and nightmares.
[b] H.O.B. note: look at the similarity between the forgoing Egyptian three (Akh-Ka-Ba) with the Islamic word Akbar, used in the context: Allahu Akbar (Allah Akbar); [God is Great, God is Greater, God is the Greatest]
In language and writing
- Sign of plurality: In the ancient Egyptian writing system, three strokes were added to a word or symbol to indicate its plural form. For example, three vertical strokes would denote a numerical value of three or act as a plural marker for the hieroglyph it followed.
In architecture and monuments
- Sacred geometry: The design of some pyramids, such as those at Giza, incorporates the number three. The alignment of the three main pyramids has also been noted for its correlation with Orion's Belt.
- Pyramidal chambers: The Great Pyramid of Giza contains three primary chambers.
- Temple layout: The three-fold nature of certain temples reflected cosmic or divine arrangements. For example, some triads of deities included the king, positioning him between two deities as a divine son.
In daily life and story-telling
- Structure and order: The ancient Egyptians divided each season into three months.
- Mythological tales: The number three appears frequently in ancient Egyptian mythology and folklore. Examples include:
- Re defining the day by naming the sun three times: dawn, noon, and evening.
- A mythical prince being doomed to die by one of three fates.
- The thrice-great god of wisdom, Thoth.
- Knot of Isis: The sacred knot of the goddess Isis, a symbol of life and protection, is depicted with three loops.
[2] H.O.B.. Note: the 3 example in the above reminded me of "Thrice Great Hermes", so I digressed in that direction with my querying.
Internet query: "Aspects of Thrice Great Hermes" (Hermes Trismegistus)
AI (overview) response: Thrice-Greatest Hermes, a mythical composite figure of the Greek god Hermes and the Egyptian god Thoth, embodies roles as a philosopher, priest, and king, a master of esoteric wisdom including alchemy, astrology, and magic, and a bringer of divine enlightenment to humanity. He represents a lineage of ancient knowledge rather than a single historical person, with his insights preserved in various texts that offer spiritual teachings and practical guidance on understanding the universe and one's connection to the divine.
Core Aspects of Hermes TrismegistusPhilosopher, Priest, and King:
- One common interpretation of the "Thrice-Greatest" epithet is that Hermes embodies three supreme roles: a great philosopher, a great priest, and a great king.
Master of Esoteric Knowledge:
- He is a master of various "hidden" sciences, including:
- Alchemy: The art of transmutation and spiritual transformation.
- Astrology: The study of celestial influences on earthly events and human lives.
- Magic: The practice of using spells and rituals for practical or spiritual purposes.
- Bringer of Divine Enlightenment:
- As a messenger between the divine and mortal realms, Hermes conveys profound knowledge that awakens humanity to deeper truths and spiritual understanding.
- Syncretic Figure:
- He is a blend of Greek and Egyptian cultures, merging the Greek Hermes (god of messages, wisdom, and boundaries) with the Egyptian Thoth (god of writing, magic, and wisdom).
The Hermetic Tradition
- Author of Hermetic Texts:
- The legacy of Hermes Trismegistus is primarily preserved in a collection of philosophical and mystical writings known as the Corpus Hermeticum and other Hermetic texts.
- A Lineage of Wisdom:
- The figure of Hermes was seen as a personification of an ancient lineage of wisdom, a mythical prophet whose insights shaped esoteric thought.
- Practical and Spiritual Guidance:
- The Hermetic texts offer teachings and practical insights into the origin and nature of the soul, the principles of creation, and the interconnectedness of the cosmos.
- Influence on Science:
- The emphasis on understanding and influencing nature through inquiry attracted early scientists who saw Hermetic teachings as a path to uncovering universal truths.
[3] Internet query: "Aspects of triple patterns in comparative anatomy"
AI (overview) response: In comparative anatomy, the concept of "triple patterns" is not a formal or standard term, but the phrase likely refers to the fundamental and interdependent relationship between three core patterns of structural organization: homologous, analogous, and vestigial structures. These three anatomical patterns are studied collectively to provide powerful evidence for evolution and to understand the phylogenetic history of species.
- Homologous structures
- Aspects in comparative anatomy:
- Shared blueprint: Homologous structures reveal a fundamental similarity in the skeletal or anatomical layout, inherited from a shared ancestor. For example, the forelimbs of mammals such as humans, bats, and whales all contain the same basic arrangement of bones, including the humerus, radius, and ulna.
- Divergent function: Though the underlying structure is similar, the functions of homologous structures can differ greatly. A human arm is used for lifting and carrying, a bat's wing for flight, and a whale's flipper for swimming.
- Inference of relationship: The degree of similarity in homologous structures is a key indicator of how closely related two species are. The more complex the feature and the greater the anatomical resemblance, the more recent the common ancestor.
- Analogous structures
- Aspects in comparative anatomy:
- Independent origins: Unlike homologous structures, analogous structures arise from distinct evolutionary paths. For instance, the wings of a bat and a butterfly both enable flight, but they have fundamentally different underlying structures and developmental origins.
- Similar function: The primary similarity in analogous structures is their function, which is a result of having adapted to similar ecological niches. The streamlined, torpedo-like body shape of porpoises (mammals) and sharks (cartilaginous fish) is another classic example of an analogous pattern.
- Different basic plans: The internal anatomy of analogous structures shows their separate evolutionary history. A bird's wing is supported by a bony skeleton, whereas an insect's wing is a membrane supported by chitin.
- Vestigial structures
- Aspects in comparative anatomy:
- Reduced utility: Vestigial structures are often reduced in size or are non-functional, reflecting a lack of selective pressure to maintain their original purpose. The human appendix, for example, is thought to be a reduced version of a larger organ used for digesting plant matter in our herbivorous ancestors.
- Evolutionary relics: These structures are evolutionary "leftovers" that have not been completely eliminated by natural selection because they do not significantly harm the organism's fitness. The human tailbone (coccyx) is a vestige of a tail that was functional in our primate ancestors.
- Comparative insight: By comparing the vestigial structure in one species to the fully functional version in a related species, biologists can piece together the evolutionary history of the lineage. The pelvic bone found in some species of whales is a remnant of the hind legs of their terrestrial ancestors.
By analyzing the interplay between these three structural patterns, comparative anatomists can reconstruct the evolutionary pathways that have shaped the diversity of life on Earth.
[4] Internet query: "Aspects of triple patterns in warfare strategy and tactics"
AI (overview) response: Various concepts of triple patterns, or triads, are fundamental to understanding and executing warfare strategy and tactics. Key examples include the strategic, operational, and tactical levels of war; Clausewitz's paradoxical trinity of passion, chance, and and reason; and the U.S. nuclear triad. The dynamic interplay of the three elements within each pattern defines military doctrine and outcomes.
Clausewitz's paradoxical trinityThe 19th-century military theorist Carl von Clausewitz defined war as a "remarkable trinity" of three dominant tendencies. The unpredictable interaction between these elements determines a conflict's character and outcome.
- Primordial violence, hatred, and enmity: Represented by the people, this irrational and blind natural force provides the initial motivation for war.
- Chance and probability: Embodied by the commander and their army, this element refers to the unpredictable nature of military action.
- Subordination as an instrument of policy: This aspect is controlled by the government and makes war subject to rational reason. (H.O.B. note: or rationalized reasoning.)
The levels of war
Modern military doctrine organizes military activities into three levels, which serve as a framework for commanders to plan and execute operations.
- Strategic level: At this level, national or multinational leadership sets the overarching political objectives of the war, such as forming alliances and establishing deterrence.
- Operational level: This level connects tactical actions to strategic goals. It involves determining the courses of action, ordering operations, and allocating resources to achieve objectives within a theater of war.
- Tactical level: This is the realm of direct combat where battlefield forces engage with the enemy. Tactical actions involve the employment and ordering of forces to execute specific missions and tasks.
U.S. nuclear triad
First established during the Cold War, the nuclear triad is a strategic force structure designed to guarantee a second-strike capability and enhance nuclear deterrence.
- Land-based intercontinental ballistic missiles (ICBMs): These missiles are launched from secure silos.
- Submarine-launched ballistic missiles (SLBMs): This component consists of nuclear-armed ballistic missile submarines that are difficult to detect.
- Strategic bombers: Long-range bomber aircraft carry nuclear bombs and missiles, offering a visible and flexible element of deterrence.
China's "Three Warfares"
In 2003, the Chinese People's Liberation Army revised its political work guidelines to include a three-pronged strategy of political warfare. These "Three Warfares" are designed to manipulate the operating environment and influence perceptions without direct military confrontation.
- Public opinion warfare: Aims to manage domestic and international public opinion to favor China's military and political goals.
- Psychological warfare: Focuses on undermining an adversary's will to fight by demoralizing them and their allies.
- Legal warfare: Uses international and domestic law to claim legal high ground, constrain an opponent's actions, and delegitimize their operations.
The modern military triad
The U.S. Army and joint combatant commands have recently adopted a "modern triad" combining specific capabilities to operate in the "gray zone" below the threshold of armed conflict.
- Special Operations Forces (SOF): Small, highly-trained teams used for unconventional warfare, reconnaissance, and counterterrorism.
- Cyber capabilities: Aims to disrupt, deny, and manipulate an adversary's information networks.
- Space capabilities: Leverages satellite technology for intelligence, surveillance, and missile defense.
Triangular division
This is a military organizational structure for divisions, where the main body is composed of three regimental maneuver elements. This contrasts with the older "square division" organization of two brigades of two regiments each.
- The U.S. Army reorganized its divisions to a triangular structure during World War II, a model also used by the Imperial Japanese Army.
- The benefit of a triangular division is increased flexibility and adaptability, as it provides a commander with three primary maneuver units instead of two.
[5] Internet query: "Aspects of triple patterns in armaments":
AI (overview) response: The user's query is based on a misunderstanding of the term "triple patterns." In the context of armaments, this concept refers to semantic web technologies, not a type of armament or military tactic.
- The phrase "triple pattern" refers to the fundamental structure of data in the Resource Description Framework (RDF) and related technologies used for creating a "semantic web." In this model, knowledge is stored and organized as a collection of subject-predicate-object triples.
- The application of this technology in the military and armaments industry involves managing vast and complex datasets to improve logistics, information sharing, and situational awareness.
Technical aspects of triple patterns in armaments
The "triple pattern" is a unit used to query and describe data in semantic web technologies. In the defense sector, this technology is used for:
- ◀Missile123► ◀hasPart► ◀GuidanceSystem456►.
- ◀Missile123► ◀hasCapability► ◀LongRangeStrike►.
- ◀GuidanceSystem456► ◀hasStatus► ◀Operational►.
- Data integration: Information from different sources, such as manufacturing, maintenance, and intelligence, can be linked by converting it into triples. This allows military planners to query integrated data to gain a more complete picture. For instance, a planner could connect inventory data with intelligence on a target's location and assess which armaments are best suited for a mission.
- Semantic interoperability: Because triple-based data models provide a common, standardized vocabulary, they allow different and otherwise incompatible systems to exchange data meaningfully. This helps integrate multi-service and coalition forces with different data systems into a single shared operating picture.
- Efficient querying: Query languages like SPARQL use triple patterns to retrieve specific information from large datasets. For example, a query might find all weapons systems that have a specific capability and are operational, allowing for agile mission planning.
Operational examples in military systems
This data architecture is especially relevant for defense due to the complex and dynamic nature of military information. Examples include:
- Logistics and supply chain management: An ontology (a model defining the concepts and relationships within a domain) can organize information about equipment, personnel, and inventory. Triple patterns can then be used to query this knowledge graph to optimize resource allocation and maintenance schedules.
- Situational awareness: By integrating sensor data, intelligence reports, and command information into a unified knowledge base, the semantic approach provides a more complete and coherent picture of the battlefield. The relationships captured by triples allow for better data correlation and context.
- Training and simulation: Ontologies can model realistic scenarios for training purposes by representing entities, environments, and events. This creates more immersive and relevant training simulations for military personnel.
- Explosive ordnance disposal (EOD): Semantic web technology has been used to create dynamic "Job Aids" for EOD technicians. This system uses triple patterns to deliver context-specific instructions by analyzing factors like the technician's role, weather, and mission phase.
[6] Internet query: "Aspects of a trinary language for quantum computing systems": (Including results for aspects of a ternary language for quantum computing systems)
AI (overview) response: A trinary language for quantum computing systems would use "qutrits" instead of qubits, operating on a three-level quantum system rather than the two states of a binary system. This approach offers potential advantages in information density, efficiency, and error correction, but also presents significant technical challenges.
Foundational aspects- Qutrits: The fundamental unit of information in a trinary (or ternary) quantum system is the qutrit, short for quantum trit.
- Classical trits: A classical trit has three distinct states, often represented as 0, 1, and 2, or in a "balanced ternary" system, -1, 0, and +1.
- Quantum qutrits: A qutrit, like a qubit, can exist in a superposition of its three possible basis states: ∣0>, ∣1>, and ∣2>. A single qutrit's state ∣ ψ> is described by a linear combination of these basis states, such as ∣ψ =α ∣Ο + β ∣1> + Γ ∣2>, where the complex coefficients satisfy the normalization condition ∣α∣2 ∣;beta;2 ∣ ∣ γ ∣2 = 1.
- Higher information density: A system of n qutrits can represent 3n basis states simultaneously through superposition. This is significantly more information than the 2n basis states of an N-qubit system. This higher information density is a core motivation for developing ternary/ quantum systems.
- Ternary logic gates: Just as quantum computers use logic gates to manipulate qubits, a trinary quantum system requires a set of
analogous gates to perform computations.
- Single-qutrit gates: These manipulate the state of a single qutrit. Examples include shift gates that cycle through the three states (∣0> → ∣1> → ∣2> → ∣0>) and Hadamard gates for creating superpositions.
- Multi-qutrit gates: Entangling gates, which create and manipulate correlations between qutrits, are also necessary. Researchers have successfully demonstrated two-qutrit entangling gates with high fidelity.
Advantages over binary quantum systems
- Simplified circuit design: Some computations, such as those involving arithmetic, can be more efficient and require fewer gates when implemented with ternary logic. For example, the Toffoli gate, which requires six CNOT gates with qubits, can be decomposed using only three gates with qutrits.
- Improved error correction: The larger state space of qutrits can, under certain circumstances, offer more robust fault tolerance. Higher-dimensional quantum systems may also be more resilient to certain types of decoherence caused by environmental interactions.
- Reduced hardware complexity: The higher information density of qutrits could potentially reduce the number of components and resources needed for a given computation, leading to more compact circuit designs.
Challenges and research areas
- Implementation difficulties: The main reason binary is standard for both classical and quantum computing is its simplicity. Manipulating and measuring three distinct, sensitive quantum states adds complexity compared to the two states of a qubit.
- Decoherence and noise: As with qubits, qutrits are extremely susceptible to environmental noise, which can cause them to lose their quantum properties. While theoretically more robust in some cases, the noise environment of a three-level system is more complex and difficult to control.
- Hardware and control: Developing hardware that can reliably produce, manipulate, and measure three quantum states with high fidelity is a major engineering and physics challenge. This includes creating specialized logic gates and designing more stable systems to handle the increased complexity.
- Algorithmic development: While some quantum algorithms can be adapted for qutrits, the field is less mature than qubit-based quantum computing. Researchers are still exploring the best applications and developing new algorithms that can fully exploit the power of trinary logic.
- Compatibility: A trinary quantum computer would need an interface to communicate with the rest of the world's binary infrastructure, which would require conversion mechanisms that could erode some of the efficiency gains.
Page initially created:Wednesday, Sept. 3rd, 2025... 3:03 AM
Initial posting:Wednesday, Sept. 3rd, 2025... 5:58 PM
Update:Thursday, Sept. 4th, 2025... 1:44 PM