UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, DC 20549

SCHEDULE 13G

Under the Securities Exchange Act of 1934

Check the Appropriate box to designate the rule pursuant to which this schedule is filed:

☐ Rule 13d-1(b)

☒ Rule 13d-1(c)

☐ Rule 13d-1(d)

Item 1 (a). Name of Issuer:

Cantor Equity Partners, Inc. (the "Issuer")

Item 1 (b). Address of Issuer's Principal Executive Offices:

110 East 59^th Street, New York, New York, 10019

Item 2 (a). Name of Person Filing:

i) MMCAP International Inc. SPC

ii) MM Asset Management Inc.

Item 2 (b). Address of Principal Business Office or, if None, Residence:

i) c/o Mourant Governance Services (Cayman) Limited
94 Solaris Avenue
Camana Bay, P.O. Box 1348
Grand Cayman, KY1-1108, Cayman Islands

ii) 161 Bay Street
TD Canada Trust Tower Suite 2240
Toronto, ON M5J 2S1 Canada

Item 2 (c). Citizenship:

i) Cayman Islands
ii) Ontario, Canada

Item 2 (d). Title of Class of Securities:

Class A Ordinary Shares, par value of $0.0001 per share

Item 2 (e). CUSIP Number:

G4491L104

Item 3. If this statement is filed pursuant to Rules 13d-1(b), or 13d-2(b) or (c), check whether the person filing is a:

 (a) ☐ Broker or dealer registered under Section 15 of the Act;

 (b) ☐ Bank as defined in Section 3(a)(6) of the Act;

 (c) ☐ Insurance Company as defined in Section 3(a)(19) of the Act;

 (d) ☐ Investment Company registered under Section 8 of the Investment Company Act;

 (e) ☐ Investment adviser in accordance with Rule 13d-1(b)(1)(ii)(E);

 (f) ☐ Employee benefit plan or endowment plan in accordance with Rule 13d-1(b)(1)(ii)(F);

 (g) ☐ Parent holding company or control person, in accordance with Rule 13d-1(b)(1)(ii)(G);

 (h) ☐ A savings association as defined in Section 3(b) of the Federal Deposit Insurance Act;

 (i) ☐ A church plan that is excluded from the definition of an investment company under Section 3(c)(14) of the Investment Company Act of 1940:

 (j) ☐ Group, in accordance with Rule 13d-1(b)(1)(ii)(j).

 ☒ If this statement is filed pursuant to Rule 13d-1(c), check this box.

Item 4. Ownership.

 Provide the following information regarding the aggregate number and percentage of the class of securities identified in Item 1.

 (a) Amount beneficially owned: 600,000

 (b) Percent of class:  5.8%*

 (c) Number of shares as to which such person has:

 (i) Sole power to vote or to direct the vote:  0

 (ii) Shared power to vote or to direct the vote:  600,000

 (iii) Sole power to dispose or to direct the disposition of:  0

 (iv) Shared power to dispose or to direct the disposition of: 600,000

Footnotes:

*This percentage is based on a total of 10,300,000 Class A ordinary shares outstanding, as reported by the Issuer in its Form 424B4 filed with the Securities and Exchange Commission on August 13, 2024.

Instruction.  For computations regarding securities which represent a right to acquire an underlying security, see Rule 13d-3(d)(1).

Item 5. Ownership of Five Percent or Less of a Class.

 If the statement is being filed to report the fact that as of the date hereof the reporting person has ceased to be the beneficial owner of more than five percent of the class of securities, check the following [  ].

Item 6. Ownership of More than Five Percent on Behalf of Another Person.

 N/A

Item 7. Identification and Classification of the Subsidiary Which Acquired the Security Being Reported on by the Parent Holding Company.

 N/A

Item 8. Identification and Classification of Members of the Group.

 N/A

Item 9. Notice of Dissolution of Group.

 N/A

Item 10. Certification.  By signing below I certify that, to the best of my knowledge and belief, the securities referred to above were not acquired and are not held for the purpose of or with the effect of changing or influencing the control of the issuer of the securities and were not acquired and are not held in connection with or as a participant in any transaction having that purpose or effect.

SIGNATURE

 After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct.

EXHIBIT 1

The undersigned acknowledge and agree that the foregoing statement on Schedule 13G is filed on behalf of each of the undersigned and that all subsequent amendments to this statement on Schedule 13G shall be filed on behalf of each of the undersigned without the necessity of filing additional joint filing agreements. The undersigned acknowledge that each shall be responsible for the timely filing of such amendments, and for the completeness and accuracy of the information concerning him or it contained therein, but shall not be responsible for the completeness and accuracy of the information concerning the others, except to the extent that he or it knows or has reason to believe that such information is inaccurate.

Dated: August 20, 2024