Alternate Title (White Paper Title):Discrete Precision Compression Carrier: A Fubini-Theoretic System for Fidelity-Invariant Signal Transmission Full Synopsis and Implications The disclosed technology introduces a unified signal architecture that collapses compression, transmission, reconstruction, and content protection into a single mathematically coherent system. At its core, the invention relies on norm-preserving separable transforms, ensuring that the total energy of a signal remains invariant under transformation while decomposing that signal into independently meaningful spectral coefficients. Each coefficient represents an isolated contribution to the signal, and, critically, no coefficient depends on any other for interpretation or reconstruction. This independence fundamentally alters the constraints under which digital media systems operate. In conventional frameworks, particularly those based on hybrid predictive coding, each unit of data is entangled with others through temporal or spatial dependencies, enforcing strict decoding order and limiting parallelism. The present system removes those dependencies entirely. Reconstruction becomes a summation over independently received components, and because the transform preserves energy, the contribution of each component is precisely quantifiable. As a result, the receiver can compute an exact reconstruction fidelity at any point in time using only the accumulated coefficient energies, without requiring access to the original signal or relying on perceptual estimation models. Compression within this framework is achieved not merely by reducing data size, but by structuring the signal according to energy significance. Coefficients are ranked by their energy contribution, and precision is allocated accordingly, producing a representation that is both compact and analytically transparent. The transmission layer then exploits the independence of these coefficients by allowing them to be delivered in any order. Packet ordering ceases to be a constraint, and transmission becomes inherently robust to reordering, loss, or interleaving across multiple channels. This structural property enables a form of distributed delivery that has not been achievable under traditional codecs. Multiple network nodes can transmit different subsets of the same signal simultaneously, and the receiver aggregates these inputs into a coherent reconstruction. Because no sequential dependency exists, the system achieves true packet-level swarm delivery, allowing aggregate bandwidth to scale across distributed sources. At the same time, the system eliminates the need for multiple bitrate encodings, as quality becomes a function of how many and which coefficients are received, rather than which pre-encoded stream is selected. Content protection is integrated directly into the mathematical structure of the signal. Instead of encrypting the data after compression, the system derives a permutation key from a combination of identity-specific and content-specific cryptographic digests. This key determines the ordering of coefficients. Without the correct identity, the inverse transform produces a structurally valid but semantically meaningless result. In effect, access control is embedded within the signal itself, and the concept of a persistent decrypted representation is removed. This provides a fundamentally different security model, one that is resistant to conventional key-extraction or stream-copying attacks. The system further extends into persistent and discontinuous usage scenarios. By tracking received coefficients through a bitfield and binding session state to identity-derived keys, it allows seamless pause and resume across network transitions. In offline contexts, the stored signal remains in its scrambled form, and reconstruction occurs transiently in memory using locally derived identity credentials. Unauthorized transfer of stored data results in failure of reconstruction due to mismatched identity-derived permutations, not through software enforcement but through mathematical incompatibility. The implications of this architecture are extensive. It redefines the relationship between compression efficiency and delivery flexibility, removing long-standing tradeoffs between quality, latency, and bandwidth utilization. It replaces layered security models with intrinsic structural protection, reducing reliance on external encryption systems. It enables distributed, high-throughput streaming without the penalties imposed by sequential decoding constraints. It also introduces a deterministic method for measuring reconstruction quality, which has applications in quality assurance, adaptive streaming, and real-time system optimization. More broadly, the system establishes a new paradigm in which signals are treated not as sequences of dependent data blocks but as collections of independently meaningful components governed by invariant mathematical properties. This shift allows transmission, protection, and reconstruction to operate under a unified set of principles, opening the possibility for further extensions in areas such as adaptive delivery, machine-assisted prioritization, and real-time analytical processing. Disclosure Regarding Filing Constraints and Publication Context This document is presented in good faith as a formal technical disclosure of an original invention developed by Lance Thomas Davidson. The purpose of this preface is to clarify the procedural circumstances surrounding the current publication status of the invention and to ensure that its dissemination is properly contextualized within both international and domestic intellectual property frameworks. At the time of this publication, no formal patent filings have been successfully completed or accepted in either the United States or Australia. Any preparatory materials, draft submissions, or incomplete application attempts do not constitute recognized filings within those jurisdictions and confer no formal prosecution status. This clarification is made explicitly to avoid any misunderstanding regarding the legal standing of the invention within official patent registries. With respect to Australia, the governing framework requires that a non-resident applicant appoint a registered patent attorney or agent within the country in order to initiate and maintain a patent application. The inventor has not been able to retain such a registered agent. This limitation arises not from lack of intent, but from practical barriers, including financial constraints and restricted access to qualified representation. As a result, the inventor is presently unable to initiate a compliant filing within the Australian system despite readiness of the technical material. In the United States, the inventor has undertaken steps to engage with the United States Patent and Trademark Office’s electronic filing systems. However, access to those systems is contingent upon identity verification administered through a third-party provider, ID.me. Despite submission of identity documentation, the verification process has not been successfully completed, and the inventor’s identity has not been formally validated within that system. This reliance on an external private entity for identity authentication has created a functional barrier, preventing account activation and thereby obstructing the ability to file or prosecute a patent application through the official USPTO channels. These conditions represent procedural and administrative impediments rather than any deficiency in the substance, originality, or completeness of the invention itself. In response to these constraints, and in order to establish a verifiable, timestamped public record of authorship and technical disclosure, the inventor has elected to publish the work through open-access repositories, including but not limited to Zenodo. This publication serves to preserve priority evidence, ensure accessibility to the scientific and technical community, and document the invention in a transparent and immutable manner. It is not intended as a waiver of intellectual property rights, nor as an abandonment of future patent protection. Rather, it functions as an interim disclosure necessitated by external barriers that presently prevent formal registration. All rights remain reserved to the fullest extent permitted under applicable law. The inventor retains the intention to pursue formal filings in appropriate jurisdictions should these procedural barriers be resolved. Supplemental Notice Regarding Potential Unauthorized Exposure and Use The inventor further notes a concern regarding the possibility that elements of the disclosed framework, or closely related conceptual structures, may have been independently encountered, reviewed, or disseminated within broader technological or research ecosystems without formal authorization, attribution, or licensing. This concern arises in the context of the inventor’s prior efforts to circulate technical materials for review, discussion, or evaluation, as well as the inherent accessibility of modern digital communication channels and research dissemination pathways. Given the advanced nature of the concepts described herein, including the integration of transform-based compression, identity-bound permutation structures, and distributed delivery architectures, it is acknowledged that overlapping developments may occur within large-scale research environments, including those associated with major technology firms. The inclusion of this notice is not an assertion of specific misconduct by any named entity, including or any other organization. Rather, it serves to formally document the inventor’s position that the concepts, structures, and methodologies contained within this disclosure constitute original work, developed independently, and are being placed on record to establish authorship, priority, and provenance. In the event tha
Lance Thomas Davidson (Thu,) studied this question.