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Stockholder’s Deficit (Details Narrative) - USD ($)
1 Months Ended 3 Months Ended 12 Months Ended
Jan. 02, 2026
Dec. 08, 2025
Nov. 30, 2025
Oct. 09, 2025
Aug. 09, 2025
Aug. 01, 2025
Jul. 16, 2025
Jul. 25, 2025
Dec. 31, 2025
Dec. 31, 2024
Sep. 30, 2025
Aug. 06, 2025
Aug. 05, 2025
Jul. 14, 2025
May 22, 2025
Apr. 28, 2025
Subsidiary, Sale of Stock [Line Items]                                
Preferred stock, shares authorized                 10,000,000   10,000,000          
Preferred stock, par value                 $ 0.01   $ 0.01          
Preferred stock, shares issued                 0   0          
Preferred stock, shares outstanding                 0   0          
Common stock, shares authorized                 150,000,000   150,000,000          
Common stock, par value                 $ 0.01   $ 0.01          
Common stock, shares issued                 16,516,603   14,521,094          
Common stock, shares outstanding                 16,516,603   14,521,094          
Class of Warrant or Right, Unissued                 6,900,000              
Class of Warrant or Right, Exercise Price of Warrants or Rights                 $ 0.01              
Sale of Stock, Price Per Share                 $ 18.00             $ 0.001
Exercise of warrants, share                 495,509              
Exercise of warrant                 $ 5,698,354              
Class of Warrant or Right, Outstanding                 7,109,483              
Shares, Issued                             280,534  
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross 500,000           500,000   6,350,000              
Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period                 4 years              
General and Administrative Expense                 $ 4,680,539 $ 143,769            
Intrinsic value of outstanding options                 $ 12,579,500   $ 14,429,000          
Vested and exercisable                 500,000   500,000          
stock-based compensation                 29,118,682              
Shares Granted, Value, Share-Based Payment Arrangement, after Forfeiture     $ 30,000     $ 60,000                    
Employee Benefits and Share-Based Compensation                 $ 45,000 0            
Deferred Compensation Equity     $ 5,000           105,000   $ 150,000          
Issuance Of Shares To Former Directors Description         On August 9, 2025, the Company entered into compensation agreements with three former directors, pursuant to which each director will receive $120,000 payable in cash or shares. Two directors elected to receive a total of $125,000 in shares and on September 10, 2025, total shares of 10,927 were issued and stock-based compensation of $125,000 related the compensation agreements with two former directors was included in general and administrative expense on the consolidated statements of operations during the year ended September 30, 2025. There were no issuance of shares for the three months ended December 31, 2025.                      
[custom:CommonStockShareIssued-0]               200,000                
Common Stock Fair Value Issued                 470,000              
Stock Issued During Period, Shares, Issued for Services               22,500                
Shares issued to directors                 10,000              
Deferred Compensation Arrangements, Overall, Description   the directors will receive an annual compensation of $3,000 and 60,000 RSUs. In addition, one of the directors serves as chairperson of the business development committee and is entitled to an additional annual compensation of $120,000 and 60,000 RSUs of which 30,000 is payable and vests upon execution of the agreement and 30,000 six months later. At December 31,2025, the 30,000 RSU that were due immediate were unpaid and included at fair value of $277,800 in stock-based compensation liability on the accompanying unaudited condensed consolidated balance sheets.                            
RSUs stock based compensation       $ 75,000         75,000              
Equity component value                 $ 350,000              
Issuance of shares                 35,000              
Share price                 $ 10.00              
Stock-based compensation liability                 $ 350,000            
Common Stock [Member]                                
Subsidiary, Sale of Stock [Line Items]                                
Issuance of shares in asset acquisition, shares                 1,500,000              
Public Rights [Member]                                
Subsidiary, Sale of Stock [Line Items]                                
Convertible Preferred Stock, Shares Issued upon Conversion                           6,900,000    
Private Rights [Member]                                
Subsidiary, Sale of Stock [Line Items]                                
Convertible Preferred Stock, Shares Issued upon Conversion                           406,000    
Private Placement [Member]                                
Subsidiary, Sale of Stock [Line Items]                                
Class of Warrant or Right, Unissued                 406,000              
Class of Warrant or Right, Exercise Price of Warrants or Rights                 $ 11.50              
IPO [Member]                                
Subsidiary, Sale of Stock [Line Items]                                
Class of Warrant or Right, Unissued                 6,900,000              
Board Of Directors [Member]                                
Subsidiary, Sale of Stock [Line Items]                                
Common stock, par value                         $ 0.01      
Shares, Issued                         7,000,000      
Equity Option [Member]                                
Subsidiary, Sale of Stock [Line Items]                                
Class of Warrant or Right, Exercise Price of Warrants or Rights             $ 3.27   $ 9.09     $ 7.2        
General and Administrative Expense                 $ 2,009,847 $ 0            
Share-Based Payment Arrangement, Noncash Expense                     $ 1,452,240