Draft:Tribernachi Theory

• Comment: In accordance with Wikipedia's Conflict of interest policy, I disclose that I have a conflict of interest regarding the subject of this article. Mark (talk) 20:52, 13 April 2025 (UTC)

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Tribernachi Theory

{{Infobox theory}}

Tribernachi Theory is a proposed mathematical and physical framework developed by Mark S. Hewitt, Ph.D., which models the universe as a fundamentally discrete lattice structure composed of indivisible units called Tribons. The theory suggests that physical reality operates on whole-number relationships, replacing continuous space-time and irrational mathematical constants with a countable and integer-based structure.

Background

Tribernachi Theory builds upon historical efforts to discretize physics, such as Max Planck's quantization of energy, lattice field theory, and loop quantum gravity. It distinguishes itself by asserting that all physical quantities — including space, time, energy, and force — can be expressed as whole numbers or rational ratios within a three-dimensional lattice framework.

The theory was introduced by Mark S. Hewitt in 2025 in the paper Exploring the Tribron Lattice and Tribernachi Theory for Quantum Computing and AI Design.

Mathematical Framework

The theory is based on a set of 30 axioms describing a discrete lattice known as the Tribron Lattice. The fundamental unit, the Tribon, is defined with an exact edge length of 6 Tribon Units (TU) and a volume of 9 TU³. A central feature is the Tribernachi Sequence, a three-term recurrence relation defined as:

T(n) = T(n−1) + T(n−2) + T(n−3)

with initial conditions T(1) = T(2) = T(3) = 1, generating the sequence:

1, 1, 1, 3, 5, 9, 17, 31, 57, 105...

This sequence is used to model patterns in natural systems, quantum states, and computing architectures.

Prime Quantum States

The theory proposes that physical stability arises from configurations based on Prime Quantum States — energy levels, particle masses, and transition probabilities governed by prime-number ratios. Stable quantum states, according to the theory, exist only at whole-number or prime-number ratios of fundamental units.

Applications

Quantum Computing

Tribernachi Theory suggests potential applications in quantum computing, including:

• Novel quantum error correction codes based on the Tribernachi sequence.
• Quantum gates that "snap" to whole-number ratios for improved error suppression.
• Enhanced qubit coherence when energy levels align with Prime Quantum States.

Artificial Intelligence and Computing

The theory proposes:

• Ternary logic systems leveraging three-state logic (rather than binary).
• Frequency-domain computing architectures based on discrete time-rate principles.
• Use of Residue Number Systems (RNS) with prime-number moduli for parallel computing.

Experimental Predictions

Tribernachi Theory outlines testable predictions including:

• Discrete energy levels detectable through ultra-precise spectroscopy.
• Prime-number patterns in gravitational wave data.
• Quantized time dilation measurable with atomic clocks.
• Rational transition probabilities observable in quantum tunneling experiments.

Criticism and Challenges

Critics of the theory have noted challenges related to:

• Compatibility with Lorentz invariance and relativistic symmetry.
• The lack of widespread empirical evidence for large-scale discretization.
• Computational complexity implied by a whole-number framework for physics.

Proponents argue that the discrete nature of reality may only become evident at extremely small scales and that continuous models may be approximations of a fundamentally discrete structure.

See Also

• Discrete Mathematics
• Lattice Field Theory
• Digital Physics
• Prime Numbers in Physics
• Quantum Error Correction
• Residue Number System

Acknowledgements and Disclosure

Tribernachi Theory acknowledges the foundational work of many great scientists and mathematicians whose discoveries have shaped our understanding of the universe. This includes the contributions of Albert Einstein, Stephen Hawking, Peter Higgs, and others whose research into relativity, quantum mechanics, and fundamental particles has provided the groundwork upon which this theory evolves.

While Tribernachi Theory proposes a discrete whole-number framework distinct from conventional models, it is intended as a respectful extension of these established scientific traditions. The theory is currently undergoing peer review and further academic scrutiny. I disclose that I have a conflict of interest regarding the subject of this article.

External Links

• Official Tribernachi Theory Website