TSRT at a Glance
Trembling Spacetime Relativity Theory (TSRT) is a covariant geometric framework that explores whether the fundamental phenomena of physics, traditionally described by separate theories, can arise from a single causal structure of spacetime itself.
Rather than introducing quantum rules, fields, or probabilistic postulates, TSRT starts from one physical requirement: proper time along any physical trajectory must remain real and strictly forward-directed. Enforcing this condition on a dynamical spacetime leads naturally to bounded, structured metric fluctuations, referred to as trembling, which act as the underlying geometric substrate of physical phenomena.
From this premise, TSRT develops a unified description of physics across scales.
The developments of TSRT up to May 2026 have been summarized in a recent Zenodo publication, accompanied by a series of AI-generated podcasts. While these podcasts are intentionally expansive in style, they are intended primarily as an accessible introduction and invitation for interested readers to explore the underlying articles and the broader conceptual framework of this emerging paradigm. Overview and Podcasts.
What TSRT is
• A geometric theory: All dynamics are formulated in terms of spacetime geometry and its causal structure.
• Fully relativistic and covariant: All constructions respect Lorentz invariance and diffeomorphism covariance.
• Deterministic: Physical outcomes arise from admissible geometric configurations, not from probabilistic collapse.
• Postulate-minimal: No independent quantum axioms, gauge fields, or inflationary assumptions are introduced.
What TSRT Replaces Conceptually
TSRT does not reject established experimental results. Instead, it replaces the conceptual inputs traditionally used to explain them:
• Quantum superposition → Geometric interference of trembling geodesics
• Wavefunction collapse → Boundary-condition-induced geometric reconfiguration
• Quantum uncertainty → Curvature-bounded admissibility of spacetime configurations
• Gauge fields → Emergent connections built from metric trembling
• Inflation and dark energy → Causal curvature dynamics of spacetime itself
The observable predictions remain consistent with known experiments, while their origin is reinterpreted geometrically.
What TSRT Explains Within a Single Framework
Using the same geometric structure, TSRT has been shown to account for:
• Interference phenomena (e.g. the double-slit experiment) without wave–particle duality
• Entanglement correlations without nonlocal signaling or probabilistic collapse
• Atomic and muonic atomic spectra with high precision and no quantum postulates
• Planck’s radiation law and thermal limits from corpuscular geodesic dynamics
• Inertia and gravitational mass equivalence as a geometric overlap effect
• Fundamental particles as stable symmetry-bound trembling modes
• Cosmic expansion, redshift, and entropy growth from causal curvature evolution
• Nuclear stability, decay, fission, and fusion from curvature-stiffness relations
These results are derived step-by-step across a series of open-access publications.
How Quantization Appears in TSRT
Quantized behavior in TSRT does not arise from operators or discrete postulates. Instead, it emerges from:
• closure conditions on internal geometric cycles,
• causal admissibility of trembling configurations,
• and symmetry constraints imposed by spacetime geometry.
As a result, energy levels, charges, spins, and particle families appear as geometric invariants, not imposed rules.
What Makes TSRT Testable
TSRT is not a metaphysical reinterpretation. It produces distinct, falsifiable predictions, including:
• curvature-dependent redshift corrections,
• long-range modulation of entanglement correlations,
• directional inertia anisotropies tied to cosmological modes,
• deviations from standard nuclear decay systematics,
• and specific signatures in cosmological expansion data.
These predictions connect laboratory experiments, astrophysical observations, and nuclear measurements within one framework.
How TSRT Fits Into Modern Physics
TSRT does not attempt to replace existing successful formalisms in practice. Instead, it provides a deeper organizing structure beneath them, much as thermodynamics underlies statistical mechanics, or geometry underlies classical mechanics.
Quantum mechanics, gauge theory, and cosmology remain extraordinarily effective tools. TSRT asks whether their success may ultimately reflect a shared geometric origin.
Current Status
TSRT is an active, openly shared research program.
Its results are published as peer-visible preprints and research articles, with ongoing extensions and independent scrutiny encouraged.
The theory is intended not as a closed system, but as a framework, i.e., one that invites further development, testing, refinement, and challenge.