This opening letter presents the core motivation for the Total Entropic Quantity (TEQ) framework. TEQ does not reformulate physics by analogy or reinterpretation—it derives fundamental structures from first principles rooted in entropy geometry. Within this framework, we rigorously derive the Born rule, the Bohr quantization condition, the Heisenberg Uncertainty Principle, the Schrödinger equation, and the entropy-weighted Feynman path integral. TEQ also explains novel quantum phenomena such as wave–particle emergence and the behavior of Majorana fermions, and predicts deviations from standard formulations in entropy-curved regimes. By compressing at least seven foundational axioms into two entropic principles, TEQ offers a conceptually unified and empirically generative alternative to the postulatory foundations of modern physics. This letter outlines what follows and why it matters.
This opening letter presents the core motivation for the Total Entropic Quantity (TEQ) framework. TEQ does not reformulate physics by analogy or reinterpretation—it derives fundamental structures from first principles rooted in entropy geometry. Within this framework, we rigorously derive the Born rule, the Bohr quantization condition, the Heisenberg Uncertainty Principle, the Schrödinger equation, and the entropy-weighted Feynman path integral. TEQ also explains novel quantum phenomena such as wave–particle emergence and the behavior of Majorana fermions, and predicts deviations from standard formulations in entropy-curved regimes. By compressing at least seven foundational axioms into two entropic principles, TEQ offers a conceptually unified and empirically generative alternative to the postulatory foundations of modern physics. This letter outlines what follows and why it matters.
This paper introduces the Total Entropic Quantity (TEQ) framework, a structural reformulation of quantum theory grounded in two foundational axioms. Axiom 0 posits entropy as a generative constraint: a geometric principle that determines which configurations can stably distinguish themselves, independent of space, time, or dynamics. Here, entropy is defined as a curvature-functional over distinguishability configurations, preserving only those patterns that remain stable under finite informational resolution---that is, structures not dissolved by coarse-graining or limited observability. Axiom 1, the Minimal Principle (MP), selects from these structures those that are maximally stable under entropy-weighted variation. From this entropic foundation, core elements of quantum theory---including the Born rule, quantization, and Schrödinger dynamics---emerge as special cases of entropy-stabilized geometry. The framework derives an entropy-weighted path integral and introduces a corrected Schrödinger equation that governs evolution in regimes of finite entropy curvature. In the high-resolution limit (β→∞), TEQ reduces to standard unitary quantum mechanics; in more general regimes, entropy flow deforms canonical dynamics, linking decoherence, dissipation, and gravitational curvature. TEQ reinterprets physical law as emergent structure within the geometry of distinguishability, rather than as imposed dynamics on a fixed spacetime background.
This paper introduces the Total Entropic Quantity (TEQ) framework, a structural reformulation of quantum theory grounded in two foundational axioms. Axiom 0 posits entropy as a generative constraint: a geometric principle that determines which configurations can stably distinguish themselves, independent of space, time, or dynamics. Here, entropy is defined as a curvature-functional over distinguishability configurations, preserving only those patterns that remain stable under finite informational resolution---that is, structures not dissolved by coarse-graining or limited observability. Axiom 1, the Minimal Principle (MP), selects from these structures those that are maximally stable under entropy-weighted variation. From this entropic foundation, core elements of quantum theory---including the Born rule, quantization, and Schrödinger dynamics---emerge as special cases of entropy-stabilized geometry. The framework derives an entropy-weighted path integral and introduces a corrected Schrödinger equation that governs evolution in regimes of finite entropy curvature. In the high-resolution limit (β→∞), TEQ reduces to standard unitary quantum mechanics; in more general regimes, entropy flow deforms canonical dynamics, linking decoherence, dissipation, and gravitational curvature. TEQ reinterprets physical law as emergent structure within the geometry of distinguishability, rather than as imposed dynamics on a fixed spacetime background.
This paper introduces the Total Entropic Quantity (TEQ) framework, a structural reformulation of quantum theory grounded in two foundational axioms. Axiom 0 posits entropy as a generative constraint: a geometric principle that determines which configurations can stably distinguish themselves, independent of space, time, or dynamics. Here, entropy refers to a curvature-functional over distinguishability configurations, maintaining only those structural patterns that remain stable or well-posed under finite informational resolution—that is, structures that are not destroyed or dissolved by coarse-graining or limited observability. Axiom 1, the Minimal Principle (MP), selects from these configurations those that remain maximally resolvable under finite entropy resolution. From this entropic foundation, core features of quantum theory—including the Born rule, Schrödinger dynamics, quantization, and gravitational structure—emerge as consequences of variation within an entropy-curved geometry. TEQ unifies quantum coherence, classical emergence, and spacetime curvature under a single informational principle, replacing conventional postulates with entropy-stabilized structure. The framework predicts deviations in high-curvature regimes and reinterprets physical law as the geometry of distinguishability rather than imposed dynamics.
The Total Entropic Quantity (TEQ) framework derives quantum mechanics from entropy-driven selection principles, unifying entropy, emergent time, and thermodynamic evolution. TEQ decomposes total entropy into realized entropy (macroscopic disorder), latent entangled entropy (quantum correlations), and latent classical entropy (stable classical correlations), clarifying how classical irreversibility emerges from global quantum coherence. A key result is Universal Entropic Time (UET), a synchronized temporal structure governed by realized entropy growth. UET aligns the thermodynamic arrow of time with cosmological evolution, linking decoherence to macroscopic irreversibility. TEQ provides a unified epistemic and ontological perspective on quantum measurement, reconciling the Copenhagen and Many-Worlds interpretations as complementary descriptions of a single entropy-driven selection mechanism. Additionally, entropy minimization explains the stability of quantum systems such as Majorana qubits, while entropy gradients suggest a mechanism for spacetime emergence and causal order. Entropy redistribution in TEQ acts as an active selection principle, stabilizing preferred trajectories while suppressing unstable quantum states. Future work will develop an entropy-weighted variational principle to formalize path selection in TEQ, aiming to derive quantum dynamics---including the Born rule, wavefunction suppression, and the Schrödinger equation---from entropic constraints. This approach is expected to clarify how path weights relate to entropy redistribution and selection, offering a thermodynamic basis for quantization. Notably, TEQ makes its first concrete prediction: Majorana qubits should exhibit extended coherence times due to suppressed entropy redistribution, offering an experimentally testable signature of the framework.
The Total Entropic Quantity (TEQ) framework derives quantum mechanics from entropy-driven selection principles, unifying entropy, emergent time, and thermodynamic evolution. TEQ decomposes total entropy into realized entropy (macroscopic disorder), latent entangled entropy (quantum correlations), and latent classical entropy (stable classical records), clarifying how classical irreversibility arises from global quantum coherence. A central result is \textit{Universal Entropic Time} (UET), defined by the monotonic growth of realized entropy. UET aligns the thermodynamic arrow of time with cosmological expansion, linking decoherence to macroscopic irreversibility. TEQ offers a unified epistemic-ontological interpretation of measurement, reconciling the Copenhagen and Many-Worlds views as complementary facets of entropy redistribution. It also provides an entropic explanation for quantum stability---especially in Majorana qubits---and suggests that spacetime and causal structure emerge from entropy gradients.TEQ yields two testable predictions: (1) Majorana qubits should exhibit extended coherence due to suppressed entropy flow; and (2) the entropic driver f(Λ(t)) has a unique global maximum, implying that dark energy peaked in the past---a result consistent with recent DESI observations. Future work will derive quantum dynamics from an entropy-weighted variational principle, aiming to recover the Schr\"odinger equation, the Born rule, and quantum suppression from entropic constraints.
We show that wave-like behavior, interference, and quantization emerge necessarily from two axioms: (1) entropy geometry as the generator of physically distinguishable structure, and (2) a minimal principle selecting trajectories stable under entropy flow. Within the Total Entropic Quantity (TEQ) framework, entropy curvature defines the geometry of resolution, and the stability condition selects log-periodic modes as the only entropy-resilient solutions. From this structure, we derive the entropy-weighted path integral, the Born rule as an asymptotic stability condition, the emergence of discrete spectral modes, and the Schrödinger equation as the limiting case of entropy-flat evolution. Quantum wave behavior is thus not postulated, but structurally selected by entropy geometry. The TEQ framework reinterprets quantum theory as a special case of entropy-stabilized dynamics, where physical law arises not from imposed kinematics, but from the geometry of what can stably be resolved under finite informational precision. In this view, precision is not a matter of external control, but a structural limit: resolution is bounded by entropy curvature, which determines what distinctions can persist.