Renormalization and Infinity in Quantum Field Theory | Neil Turok

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TIMESTAMPS:
- 00:00:00 Introduction
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NOTE: The perspectives expressed by guests don't necessarily mirror my own. There's a versicolored arrangement of people on TOE, each harboring distinct viewpoints, as part of my endeavor to understand the perspectives that exist.

LINKS MENTIONED:
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[KaliFissure]

The spinor surface.
One rotation positive but then at the node there is an inversion.

Surface(cos(u/2)cos(v/2), cos(u/2)sin(v/2), sin(u)/2), u, 0, 2pi, 0, v, 4pi


Minimal single sided surface. Renormalization as a geometry. Notice that 4pi are needed to complete the surface. An electron always has that positron curled up inside itself.

[readyfireaim]

Quantum Field Theory - Renormalization

Contradictory:
In quantum field theory, the calculation of physical quantities often leads to infinite integrals or divergent series. To resolve this, the process of renormalization is used, which effectively "subtracts" infinities to obtain finite results. However, this process is mathematically inconsistent and leads to issues like the hierarchy problem.

Non-Contradictory:
Using the monadological framework, quantum fields could be represented as sections of monadic bundles, with interactions modeled by relational algebras between infinitesimal generators. By working with non-standard analysis and surreal numbers, divergent integrals could be replaced by well-defined hyperfinite sums, avoiding the need for ad-hoc renormalization:

Φ(x) = ∫ Φ̃(k)e^(ik⋅x) dk → Φ(x) = ∑_{k∈*K} *Φ(k)e^(ik⋅x) *dk

Here, *K represents a hyperfinite momentum space, *Φ(k) are the monadic field amplitudes, and *dk is an infinitesimal measure.

[JLT]

You need unfinity, somethink like thinking of the universe as a group in 2PiR where R is the diameter/2 of the universe.

Where 2PiR is at the scale of quanta where R*2 is the smallest possible number grouping the smallest functional amount of sub atomics able to fit in this diameter.

Essentially the field defined by 2PiR is an unfinity containing both finities and infinities within a framework of reference.

[Cant_handle_the_cause]

I would love to be as intelligent as this man

[noxrubbish]

Regularity structures man...regularity structures

[Critter]

Quantum mechanics makes no sense, bc not everything can be or should be quantized.