Principle 1 : a clear diagnosis and a clear list of problems to be cleared — From Louis de Broglie to Lee Smolin

The NTU framework originates from a broader reflection on the long-standing conceptual difficulties of fundamental physics, from the early concerns raised by Louis de Broglie to the modern analysis proposed by Lee Smolin in The Trouble with Physics. Despite the extraordinary predictive success of quantum mechanics, general relativity and quantum field theory, several major conceptual blockages remain unresolved:

• the absence of a physical origin of time;
• the incompatibility between quantum mechanics and gravitation;
• the absence of a deeper ontology beneath probabilistic quantum descriptions;
• the lack of a physical explanation for the emergence of spacetime itself;
• the problem of infinities and vacuum catastrophe;
• the origin of physical constants;
• the disappearance of free antimatter;
• and the excessive dependence on mathematically elegant but experimentally inaccessible frameworks.

Louis de Broglie repeatedly emphasized the necessity of a deeper physical substrate capable of reconciling wave and particle descriptions within a coherent causal framework. More recently, Lee Smolin identified several structural limitations of modern theoretical physics and argued that future progress would likely require:

• physically grounded approaches,
• background-independent descriptions,
• and genuinely falsifiable cosmological predictions.

The NTU proposal should therefore be understood as an attempt to address this list of unresolved conceptual issues within a single emergent framework.

Principle 2 : the 3 rules of Lee Smolin

Lee Smolin delivered a clear diagnosys of modern physics as facing a deep conceptual crisis due to the multiple conceptual problems shared in the first principle. However Lee Smolin didn’t limit his work to this diagnosis alone, he identifies three key rules guiding the future of theoretical physics:

First, unifying General Relativity with Quantum Theory;

Second, solving the foundational problems of Quantum Mechanics either by giving it a clearer interpretation or by replacing it with a new framework;

Third, the new theory framework must be capable of integrating all currently known experimental data.

According to Smolin, these three rules form the basis of a new scientific revolution that could overcome the limitations of contemporary physics. The NTU framework attempts to position itself within this perspective by proposing an emergent ontology reconnecting quantum mechanics, relativity, causal structure, cosmology and the emergence of time itself within a single coherent substrate dynamics.

Principle 3 : Axiome “Two Objects require two Theories”

When two fundamentally different and incompatible theories are required to describe the same object, a single descriptive framework may no longer be sufficient.

Relativity and Quantum theories may require distinct theoretical perspectives before a coherent relational structure can emerge. The existence of two distinct ontological objects may imply the coexistence of two partially independent descriptive domains.

A unified relational framework may only emerge through the interaction, mapping or compatibility conditions between these theoretical domains.

Principle 4 : Reality is not fundamentally Mathematical

The universe is not an equation. Mathematics is a descriptive and communication language, not the substance of reality itself. Physical reality may not be reducible to purely mathematical structures. Mathematical formalisms are regarded as modeling tools rather than ontological identities.

The NTU framework adopts a realist perspective inspired by approaches associated with Einstein, de Broglie and Schrödinger, in contrast with purely instrumental or epistemic interpretations of quantum mechanics. Quantum probabilities are not rejected. Their statistical character remains fundamental at the observable level and may include intrinsically non-computable aspects in the Gödelian sense.

However, probabilistic behavior is assumed to emerge from an underlying ontological substrate rather than constituting the ultimate level of physical reality itself. Within this perspective, mathematical formalisms are regarded as descriptive representations of deeper physical structures, not as reality in itself.

Principle 5 : Time does not exist at the deepest level of reality

At the most fundamental level, physical reality may be described by a substrate in which time does not exist as a primitive dimension.

This substrate is conceived as purely spatial, rigid from the perspective of relativity, and fundamentally Euclidean in structure. Within the NTU framework, this foundational domain is referred to as the No Time Universe (NTU).

The term was intentionally chosen to distinguish this approach from timeless philosophical interpretations inspired by Mach, emphasizing instead a physically structured substrate from which temporal phenomena may emerge.

Principle 6 : The NTU Carries Quantum-like properties

Within the NTU framework, the foundational substrate is modeled as a discrete, rigid and fundamentally Euclidean relational structure. Relativistic spacetime geometry is not assumed to be fundamental at this level, but rather an emergent large-scale effective description.

The substrate may therefore permit forms of non-local relational organization, non-classical state coexistence and discrete structural dynamics that later manifest macroscopically as quantum mechanical behavior. Discreteness, non-locality and superposition-like relational states are thus regarded as intrinsic properties of the NTU substrate rather than emergent quantum anomalies.

Principle 7 : Time does emerge from the NTU by symmetry breaking

The NTU substrate is assumed to be initially isotropic, without any preferred direction, temporal ordering or relativistic structure. At this fundamental level, the substrate remains purely relational, Euclidean and non-temporal. Within the NTU framework, observable time is not considered a primitive component of reality, but an emergent property resulting from symmetry breaking processes occurring inside the underlying substrate.

Relativistic spacetime structures may therefore arise as large-scale effective organizations generated through statistical dynamics, relational differentiation and collective structural ordering within the NTU.

The emergence of temporal directionality is interpreted as the consequence of a progressive loss of fundamental isotropy, leading to the appearance of causal asymmetries, relativistic geometry and macroscopic temporal flow.

In this perspective, time does not fundamentally exist at the substrate level: it emerges from the large-scale organization and symmetry breaking of the NTU itself.

Principle 8 : the Continuous emerges from the Discrete

Continuous spacetime may emerge from deeper discrete structures.

Macroscopic continuity may result from recursive scaling processes, fractal organization and multi-scale temporal mappings.

Principle 9 : Quantum fields and cosmology emergence

Fields may arise from collective relational structures within the NTU substrate. Gauge-like and interaction fields may emerge as effective macroscopic organizations of underlying discrete dynamics.

Cosmology itself may emerge from the large-scale organization of the NTU substract. Expansion, structure formation and relativistic cosmological behavior may result from collective large-scale dynamics of the non-temporal substrate.

Principle 10 : Theoretical and Experimental Tests

A scientific framework must generate testable consequences. The NTU framework must produce:

• internal consistency tests,
• mathematical consistency conditions,
• compatibility with existing physics,
• and potentially observable predictions.