This document introduces a new class of cryptographic and security systems based on ontological states, invariants, endogenous time, and internal reality operators. The described architectures replace informational secrets with state-dependent invariants and irreversible contextual operators. This work defines a new security paradigm independent of computational hardness assumptions. We are standing on the threshold of a major rupture in data security and digital infrastructure. In the coming years, something that until recently seemed theoretical will become reality:modern encryption methods will cease to be reliable.The reason is the rapid progress of quantum computing and the overall growth of computational power.The algorithms on which today’s messengers, banks, electronic signatures, government registries, and the entire system of digital trust are built were originally designed in an era when such capabilities were unattainable. This implies several very unpleasant consequences. First, everything that is encrypted today can already be intercepted and stockpiled “for later.”Within 5–15 years, such archives will be decryptable at scale.This applies to personal correspondence, medical records, commercial secrets, financial transactions, diplomatic documents, and government databases. Second, the very foundation of trust in the digital world will be undermined.Electronic signatures, TLS certificates, blockchains, banking protocols, and identity systems all rely on the same fragile mathematical basis.When it collapses, it will no longer be possible to reliably prove who sent a message, who signed a document, or who actually controls an account or a wallet. Third, post-quantum cryptography, which is now being urgently deployed, is only a temporary patch.It remains purely mathematical, still uses formal keys, and is still vulnerable to future breakthroughs, new algorithms, and implementation errors.It does not solve the root problem: the very principle of “a secret as a bit string” is obsolete. And here lies the main difficulty we are about to face. The world has become too digital and too interconnected to survive another collapse of trust.We can no longer rely on protection that rests solely on computational hardness.Hardness is not a foundation.It is only a temporary delay. We need technologies of a fundamentally different class. Technologies in which: – the key is not a number and not a file,but a stable state of a system; – the secret is not information,but a mode of being of a node, a device, or a human; – authentication is not string equality,but the coincidence of internal response and state; – hacking is not brute force,but an attempt to reproduce another system’s reality. This is precisely why new cryptographic and security technologies are required. They solve several root problems at once. First — protection against quantum and future post-quantum attacks.If a secret does not exist as a number or a file, it cannot be factorized, brute-forced, or extracted from memory. Second — protection against key theft and system cloning.If a key never physically leaves a device and does not exist outside its internal state, it cannot be stolen, leaked, or copied. Third — protection against identity substitution and man-in-the-middle attacks.If authentication depends on internal state, time, and context rather than only on a password or token, substitution becomes practically impossible. Fourth — protection against future unknown threats.If security is based not on mathematical problems but on physics, dynamics, and the uniqueness of states, it does not collapse when new algorithms appear. Fifth — technological sovereignty.Systems can be designed so that they physically and logically do not function without the participation of their creator or owner — even if the code, schematics, and documentation are leaked. Simply put, we need technologies in which: security is built into the very reality of the system,not bolted on top in the form of a password and a cipher. This is not abstract philosophy and not “for the distant future.”It is a response to a very concrete and already approaching crisis of digital trust. And the question here is no longer whether such technologies will be needed.The only question is who will be the first to make them work. Below is an exhaustive catalog of all classes of the author’s Ξ-cryptography and Ξ-security technologies. Premonition Block This framework is not “just one cryptosystem.”It is a foundation for a post-quantum + post-mathematical security standard. Three to four of these positions alone are sufficient to define a global standard on the level of TLS / PKI / HSM.
This document introduces a new class of cryptographic and security systems based on ontological states, invariants, endogenous time, and internal reality operators. The described architectures replace informational secrets with state-dependent invariants and irreversible contextual operators. This work defines a new security paradigm independent of computational hardness assumptions. We are standing on the threshold of a major rupture in data security and digital infrastructure. In the coming years, something that until recently seemed theoretical will become reality:modern encryption methods will cease to be reliable.The reason is the rapid progress of quantum computing and the overall growth of computational power.The algorithms on which today’s messengers, banks, electronic signatures, government registries, and the entire system of digital trust are built were originally designed in an era when such capabilities were unattainable. This implies several very unpleasant consequences. First, everything that is encrypted today can already be intercepted and stockpiled “for later.”Within 5–15 years, such archives will be decryptable at scale.This applies to personal correspondence, medical records, commercial secrets, financial transactions, diplomatic documents, and government databases. Second, the very foundation of trust in the digital world will be undermined.Electronic signatures, TLS certificates, blockchains, banking protocols, and identity systems all rely on the same fragile mathematical basis.When it collapses, it will no longer be possible to reliably prove who sent a message, who signed a document, or who actually controls an account or a wallet. Third, post-quantum cryptography, which is now being urgently deployed, is only a temporary patch.It remains purely mathematical, still uses formal keys, and is still vulnerable to future breakthroughs, new algorithms, and implementation errors.It does not solve the root problem: the very principle of “a secret as a bit string” is obsolete. And here lies the main difficulty we are about to face. The world has become too digital and too interconnected to survive another collapse of trust.We can no longer rely on protection that rests solely on computational hardness.Hardness is not a foundation.It is only a temporary delay. We need technologies of a fundamentally different class. Technologies in which: – the key is not a number and not a file,but a stable state of a system; – the secret is not information,but a mode of being of a node, a device, or a human; – authentication is not string equality,but the coincidence of internal response and state; – hacking is not brute force,but an attempt to reproduce another system’s reality. This is precisely why new cryptographic and security technologies are required. They solve several root problems at once. First — protection against quantum and future post-quantum attacks.If a secret does not exist as a number or a file, it cannot be factorized, brute-forced, or extracted from memory. Second — protection against key theft and system cloning.If a key never physically leaves a device and does not exist outside its internal state, it cannot be stolen, leaked, or copied. Third — protection against identity substitution and man-in-the-middle attacks.If authentication depends on internal state, time, and context rather than only on a password or token, substitution becomes practically impossible. Fourth — protection against future unknown threats.If security is based not on mathematical problems but on physics, dynamics, and the uniqueness of states, it does not collapse when new algorithms appear. Fifth — technological sovereignty.Systems can be designed so that they physically and logically do not function without the participation of their creator or owner — even if the code, schematics, and documentation are leaked. Simply put, we need technologies in which: security is built into the very reality of the system,not bolted on top in the form of a password and a cipher. This is not abstract philosophy and not “for the distant future.”It is a response to a very concrete and already approaching crisis of digital trust. And the question here is no longer whether such technologies will be needed.The only question is who will be the first to make them work. Below is an exhaustive catalog of all classes of the author’s Ξ-cryptography and Ξ-security technologies. Premonition Block This framework is not “just one cryptosystem.”It is a foundation for a post-quantum + post-mathematical security standard. Three to four of these positions alone are sufficient to define a global standard on the level of TLS / PKI / HSM.
Abstract. In the digital age, cryptography is widely used in various important systems such as financial, military and government ones, medical records etc. The life of modern people is closely connected with the cryptography. We send messages via instant messengers without even considering in which way the security of communications and data is ensured. We buy things both online and transfer money with confidence in transaction security. The level of digitization of our society is constantly increasing, and the digital data needs a reliable protection, which makes cryptography a current topic. Cryptographic systems ensure our security and the basic properties of information, such as privacy, integrity, availability. However, with the beginning of the development of quantum computers, the field of cryptography has developed in a new direction. Quantum cryptography is a science that studies the methods of communication systems protection. It is based on the idea that patterns of quantum physics (physical properties described by the laws of quantum optics, quantum electrodynamics, or quantum field theory) are inviolable. The current state of development and usage of powerful quantum computers, as well as their mathematical and software, is strictly confidential and securely protected. Only clear-cut information about quantum computers and their usage in cryptography is provided. NIST has announced an open competition to select quantum-resistant public-key cryptographic algorithms. After the third round, CRYSTALS-KYBER, CRYSTALS Dilithium, FALCON, and SPHINCS+ were proposed to be standardized. NIST has already recommended moving from the sizes of keys and algorithms that provide 80 security bits to the sizes of keys and algorithms that provide 112 or 128 security bits in order to protect against classic attacks. Post-quantum cryptography, which with its complexities still requires a more detailed study, challenge science once more. However, it is unknown when the changes will occur and when the quantum era will begin, as well as what consequences they will have. It is only possible to predict how many advantages will have quantum calculations compared to usual, and how different the new quantum models will be from classic ones.
Classical cryptography has been around for a long time in the documented human history, but most classical ciphers were broken and even solved by hand. Shannon introduced the notion of perfect secrecy that formally defines confidentiality in the information-theoretic sense, which is only possible in the restricted scenarios where the message is no longer than the encryption key. The invention of public-key cryptography (the Diffie-Hellman key exchange protocol in 1976 and the RSA crypto-system in 1977) marks the birth of modern cryptography, allowing parties to exchange messages securely without sharing any secrets in advance. Furthermore, it provides computational security based on the conjectured hardness of mathematical problems such as factorization and the discrete logarithm. Public-key cryptography has found numerous applications in the Internet, financial and banking industry, and blockchains, and it plays a crucial role in protecting information security and asset safety. Unfortunately, in the 1990s, Shor proposed efficient quantum algorithms that solve number-theoretic problems, including factorization and discrete logarithms in polynomial time. Once a quantum computer of a particular scale becomes a reality, it will cause a devastating blow to the existing public-key infrastructure. To deal with such a ‘quantum crisis’, academia and industry are looking into the design, analysis and standardization of cryptographic algorithms that can resist quantum computers referred to as post-quantum cryptography (PQC). The National Institute of Standards and Technology (NIST) has been soliciting proposals for the post-quantum public-key algorithms since 2016. More recently, the Chinese Association for Cryptologic Research (CACR) held a competition on designing cryptographic algorithms whose public-key cryptography track focused on post-quantum cryptographic algorithms. Lattice-based cryptography is considered by most to be the mainstream technical route of post-quantum cryptography, which is reflected in the number of proposals (and their percentage of the total) received in the NIST PQC process. To reflect the status quo of post-quantum cryptography, we invite leading experts in this area to contribute three technical perspectives that aim to help readers understand the algorithms, the underlying basic techniques and different technical routes to achieve quantum resistance. The first perspective, presented by Lu and Zhang, introduces public-key cryptographic algorithms whose quantum security is reducible from the conjectured quantum hardness of lattice problems. In particular, they mainly focus on public-key encryption (PKE) and the key encapsulation mechanism (KEM), which are essential building blocks for securing the confidentiality of communication without pre-shared secrets. Both types of crypto-systems are solicited by the NIST PQC standardization and the CACR algorithm design competition. This perspective gives a comprehensive survey on practical lattice-based PKEs/KEMs, and their best-known quantum and classical attacks. Another important post-quantum crypto-system is digital signature, which ensures that three goals of information security are met other than confidentiality, namely, integrity, authentication and non-repudiation. The second perspective is on lattice-based signature by Lyubashevsky. In this perspective, he surveys different techniques in building lattice-based post-quantum crypto-systems, discusses the challenges in overcoming performance issues and gives us state-of-the-art digital signature schemes. In addition to ensuring the ‘static’ security of information in storage and transmission, advanced cryptographic algorithms and protocols can guarantee information security during the computation process (possibly among multiple parties), referred to as privacy-preserving computation. Cryptographic techniques involved in privacy-preserving computation include secure multi-party computation, zero-knowledge proof and fully homomorphic encryption. There is a pressing need to migrate them to the post-quantum era. The third perspective, by Yu and Xie, presents practical instantiations of these algorithms and discusses possible ways to migrate them to their quantum-resistant counterparts. To summarize, post-quantum cryptography has received widespread attention and made significant progress in recent years. Some post-quantum cryptographic algorithms, such as the lattice-based candidate, also have other advantages (e.g., computational efficiency and full homomorphism) over their classical counterparts. Lattice-based cryptography is an emerging field with high theoretical value and wide application, and we encourage young researchers to enter and explore this new and exciting field.
Motivation The ability to guarantee security and privacy in communication are critical factors in encouraging people to accept and trust new tools and methods for today's information-based society (e.g. in eCommerce or eHealth) and for future services (e.g. eGovernment, eVoting). Cybercrime already hinders these new possibilities by creating widespread mistrust in these new services. Another problem is that a (perhaps unpublicized) break-through in mathematics or computer science could completely compromise current state-of-the-art encryption methods overnight, even those which are the basis of all existing internet banking transactions. This is because the security of cutting-edge public-key cryptography (conventional cryptography) relies on the computational difficulty of certain mathematical tasks, meaning that conventional cryptography alone can neither provide any evidence of eavesdropping nor guarantee strong security. The trend towards faster electronics provides the ability to handle longer keys, thus providing better security, but also increases the possibility to break keys. This also has another worrying effect: even using today's most advanced available security technology to protect data during communication with best practice and without making any mistakes, the ongoing improvements in technology (which hence require longer key lengths to ensure security) mean that today's transmitted data will not be secure for more than a few years. Thus, while encrypted data might be safe today, it can still be stored by the adversary now and then broken later on once the future technology has caught up with today's encryption. Alternatively, modern quantum cryptography has created a new paradigm for cryptographic communication, which provides strong, long-term security and incontrovertible evidence of any attempted eavesdropping which is based on theoretically and experimentally proven laws of nature.
In the modern digital era, where cyber-attacks, data breaches, and digital spying threaten global security, conventional cryptographic systems face increasing challenges. The rapid development of quantum computing has amplified these threats by undermining the security foundations of classical encryption algorithms such as RSA (Rivest–Shamir–Adleman) and ECC (Elliptic Curve Cryptography), both of which depend on the computational hardness of factorization and discrete logarithmic problems. Quantum cryptography, rooted in the principles of quantum mechanics, introduces a transformative approach that ensures theoretically unbreakable security. This paper explores the theoretical foundations, current technological developments, challenges, and future prospects of quantum cryptography. It emphasizes the transition from mathematical security to physical security, highlighting quantum key distribution (QKD), quantum random number generation, and post-quantum cryptographic frameworks. The study concludes that quantum cryptography is not merely a futuristic ideal but a necessary evolution for safeguarding the digital future in a quantum-enabled world
In today’s world more and more electronic devices are connected through the channel “internet”. To secure these devices, designers rely on cryptographic standards that provide encryption, authentication and data-integrity. However, future advances in quantum computing threaten the security of these standards as they are predicted to break the underlying hard mathematical problems. It is therefore of the utmost importance to find new standards that are safe against quantum computers. The design and analysis of such quantum-safe algorithms is studied in the field of many post-quantum encryption schemes are subject to decryption failures. This means that even after a proper execution of the algorithm, there is a (very small) chance that the message or key is not transmitted correctly. It simply led like that decryption failures lead to a new attack vector in which failing cipher texts are assembled and used to reconstruct the secret key. To secure the connected devices and data the method of Post Quantum Cryptography will plays a vital role. Post Quantum Cryptography improves the security proof bound on decryption failure attacks.
The rapid development of quantum computing is one of the most transformative technological developments of the twenty-first century with profound implications for cybersecurity, digital governance and the future of secure communication systems. Traditional cryptographic infrastructures have fundamentally underpinned digital trust in banking, healthcare, defense, cloud computing, and global communication networks, but the advent of quantum computational power has led to increasing concern about the future of existing standards for encryption. This qualitative study critically examines the changing relationship between quantum computing and post-quantum cryptography through an analysis of the technological, institutional, ethical and governance challenges in the transition to quantum-secure digital systems. The study adopts an interpretivist and exploratory qualitative orientation that aims to understand how governments, cybersecurity experts, technology institutions and policy frameworks are responding to the disruptive potential of quantum technologies. Data were collected using thematic analysis of academic literature, cybersecurity policy documents, archival technological reviews, expert commentaries, institutional reports, and emerging case studies related to the development of quantum-resistant cryptography. The results show that quantum computing presents serious threats to existing public-key cryptographic systems, especially in terms of theoretical abilities of Shor’s algorithm and future quantum decryption models. Meanwhile, the paper outlines post-quantum cryptography as a vital avenue for safeguarding digital privacy, institutional credibility, and cybersecurity robustness in an ever more networked society. The analysis also points to ongoing challenges around technological readiness, regulatory uncertainty, global standardization, resource inequality and ethical issues around surveillance, privacy and digital sovereignty. Yet, the research points to the potential for secure digital transformation, resilient cybersecurity governance, and the re-inventing of future communication infrastructure through post-quantum innovation. The research finds that the transition to quantum-secure systems is not just a technological challenge, but a multidimensional governance and policy challenge requiring international cooperation, ethical foresight and proactive institutional change.