What's new in

TGD as generalized number theory

Note: Newest contributions are at the top!



The reader who has visited my page earlier perhaps wonders the fate of the earlier four online books about TGD. Nothing tragic is involved. I only realized that the average length of these books is around 2000 pages even taking into account the redundancy. The only thing I could do was to chop my dear friends into pieces by narrowing sharply the topic of what I decide to call book. Hence the two books about TGD proper split to seven and two books about TGD inspired theory of consciousness replicated to eight. There are not yet any new contributions to this book. I have kept the old version of the page, one of the reasons being that it contains "What's new?" histories over about four years telling about the vigorous development of TGD during these years.



Year 2017

Some layman considerations related to fundamentals of mathematics(24.10. 2017).

Could the precursors of perfectoids emerge in TGD?(13.10. 2017).

What does cognitive representability really mean?(10.10. 2017).

Is the quantum leakage between different signatures of the real sectors of the complexified M8 possible? (16.9. 2017).

What the properties of the octonionic product can tell about fundamental physics?(15.9. 2017).

Does Riemann-Roch theorem have applications to TGD?(13.9. 2017).

About enumerative algebraic geometry in TGD framework(9.9. 2017).

Super-octonions, super-twistors and twistorial construction of scattering amplitude(23.8. 2017).

Geometrization of fermions using super version of the octonionic algebraic geometry(17.8. 2017).

Emergence of Zero Energy Ontology and Causal Diamonds from octonionic algebraic surface dynamics(16.8. 2017).

M8-H duality: summary and future prospects(7.8. 2017).

Does M8-H duality reduce classical TGD to octonionic algebraic geometry?(2.8. 2017).

Generalization of Riemann zeta to Dedekind zeta and adelic physics?(16.7. 2017).

Are Preferred Extremals Quaternion-Analytic in Some Sense?(25.6. 2017).

Philosophy of Adelic Physics(24.6. 2017).

Why would primes near powers of two (or small primes) be important?(9.4. 2017).

heff/h=n hypothesis and Galois group(9.4. 2017).

What could be the role of complexity theory in TGD?(8.4. 2017).

Progress in adelic physics(25.1. 2017).

Year 2016

p-Adic logic and hierarchy of partition algebras(29.12. 2016).

Brain and Mersenne integers(29.11. 2016).

Boolean algebras, Stone spaces, and p-adic physics(7.10. 2016).

Langlands correspondence and TGD: years later(27.7. 2016).

p-Adicizable discrete variants of classical Lie groups and coset spaces in TGD framework(14.5. 2016).

Number theoretical feats and TGD inspired theory of consciousness(25.4. 2016).

Why Mersenne primes are so special?(1.4. 2016).

Year 2015

Why the non-trivial zeros of Riemann zeta should reside at critical line?(27.11. 2015).

Does Riemann Zeta Code for Generic Coupling Constant Evolution?(19.11. 2015).

Some applications of Number Theoretic Universality(24.9. 2015).

Could one realize number theoretical universality for functional integral?(17.9. 2015).

More about physical interpretation of algebraic extensions of rationals(19.5. 2015).

What could be the origin of the p-adic length scale hypothesis?(30.4. 2015).

What is the origin of the preferred p-adic primes(29.4. 2015).

About the twistorial description of light-likeness in 8-D sense using octonionic spinors(22.2. 2015).

Year 2014

Class field theory and TGD: does TGD reduce to number theory?(9.2. 2014).

General ideas about octonions, quaternions, and twistors(1.2. 2014).

Year 2013

Riemann Hypothesis and quasicrystals(4.2.2013).

p-Adic symmetries(4.2.2013).

Could canonical identification make possible definition of integrals in p-adic context?(4.2.2013).

Could canonical identification allow construction of path connected topologies for p-adic manifolds?(4.2.2013).

What p-adic icosahedron could mean? And what about p-adic manifold?(27.1.2013).

Year 2012

Does the square root of p-adic thermodynamics make sense?(1.10.2012).

Quantum Mechanics as Quantum Mathematics(15.4.2012).

Riemann Hypothesis and Zero Energy Ontology(26.3.2012).

p-Adic homology and finite measurement resolution(24.3.2012).

Hilbert p-adics, hierarchy of Planck constants, and finite measurement resolution(22.3.2012).

Quantum Mathematics(8.3.2012).

Updated view about quantum adeles(8.3.2012).

Two little observations about quantum p-adics(1.3.2012).

Progress in number theoretic vision about TGD(29.2.2012).

Progress in understanding of quantum p-adics(20.2.2012).

Quantum Adeles(11.2.2012).

Quantum p-adic deformations of space-time surfaces as a representation of finite measurement resolution?(26.1.2012).

The anatomy of quantum jump in zero energy ontology(26.1.2012).

Year 2011

How quantum arithmetics affects basic TGD and TGD inspired view about life and consciousness?(7.11.2011).

Quantum Arithmetics and the Relationship between Real and p-Adic Physics(30.10.2011).

Could TGD be an integrable theory?(11.9.2011).

p-Adic fractality, canonical identification, and symmetries(30.8.2011).

An attempt to understand preferred extremals of Kähler action(27.8.2011).

How to understand transcendental numbers in terms of infinite integers?(24.8.2011).

About the structure of the Yangian algebra(24.8.2011).

Is quantal Boolean reverse engineering possible?(22.8.2011).

TGD and Physical Mathematics(18.8.2011).

Langlands Conjectures in TGD Framework(17.8.2011).

Quantum Boolean algebra instead of Boolean algebra?(12.8.2011).

How infinite primes relate to other views about mathematical infinity?(11.8.2011).

How could one calculate p-adic integrals numerically?(12.7.2011).

What about counterparts of T, S, and U dualities in TGD framework?(29.6.2011).

K-theory, branes, and TGD(26.6.2011).

How detailed quantum classical correspondence can be?(22.6.2011).

Floer homology and TGD (22.6.2011).

Twistors, hyperbolic 3-manifolds, and zero energy ontology (6.6.2011).

Motives and twistors in TGD (30.5.2011).

Infinite primes and motives(22.5.2011).

Finding the roots of polynomials defined by infinite primes(21.2.2011).

Non-Standard Numbers and TGD(29.1.2011).

Generalization of thermodynamics allowing negentropic entanglement and a model for conscious information processing(4.1.2011).

Year 2010

A Possible Explanation of Shnoll Effect(8.12.2010).

Considerable progress in generalized Feynman diagrammatics(23.5.2010).

How to perform WCW integrations in generalized Feynman diagrams?(21.5.2010).

How infinite primes could correspond to quantum states and space-time surfaces? (13.1.2010)

Year 2009

How TGD emerges from number theory? (10.10.2008)



Year 2008

Zero energy ontology, self hierarchy, and the notion of time (15.9.2008)

The most recent vision about zero energy ontology and p-adicization (14.9.2008)

Prime Hilbert spaces and infinite primes (14.2.2008)



Year 2007

E8 theory of Garrett Lisi and TGD (22.11.2007)

A little crazy speculation about knots and infinite primes (31.8.2007)

How to represent algebraic complex numbers as geometric objects? (3.8.2007)

Is it possible to have a set with -1 elements? (3.8.2007)

Farey sequences, Riemann Hypothesis, tangles, and TGD (14.6.2007)

Quantum Quandaries (17.5.2007)

Platonism, Constructivism, and Quantum Platonism (14.5.2007)

Langlands Program and TGD (12.2.2007)

About infinite primes, points of the world of classical worlds, and configuration space spinor fields (12.1.2007)

Updated vision about infinite primes (6.1.2007)



Year 2006

Zeros of Riemann Zeta as conformal weights, braids, Jones inclusions, and number theoretical universality of quantum TGD (19.8.2006)

Infinite primes, cognition, and intentionality (29.7.2006)

The most recent view about p-adicization program (28.7.2006)

Does the quantization of Planck constant transform integer quantum Hall effect to fractional quantum Hall effect? (18.5.2006)

Reduction of long length scale real physics to short length scale p-adic physics and vice versa (27.1.2006).



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